Rendering of the source text

<?xml version='1.0'?>
<model name="Feto_maternal_O2_transfer" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
    <units name="mmHg">
        <unit multiplier="133.32" units="pascal"/>
    </units>
    <units name="ml">
        <unit prefix="milli" units="liter"/>
    </units>
    <units name="ml_per_min">
        <unit units="ml"/>
        <unit exponent="-1" multiplier="60" units="second"/>
    </units>
    <units name="ml_per_ml">
        <unit units="ml"/>
        <unit exponent="-1" units="ml"/>
    </units>
    <units name="ml_per_ml_min_mmHg">
        <unit units="ml"/>
        <unit exponent="-1" units="ml"/>
        <unit exponent="-1" multiplier="60" units="second"/>
        <unit exponent="-1" units="mmHg"/>
    </units>
    <component name="gas_exchange">
        <variable initial_value="1.4452" name="k1_m" units="dimensionless"/>
        <variable initial_value="1.4452" name="k1_81m" units="dimensionless"/>
        <variable initial_value="0.456" name="k2_m" units="dimensionless"/>
        <variable initial_value="0.3711" name="k3_m" units="dimensionless"/>
        <variable initial_value="0.3711" name="K3_81m" units="dimensionless"/>
        <variable initial_value="7.8322e+03" name="k4_m" units="dimensionless"/>
        <variable initial_value="7.4" name="pH_m" units="dimensionless"/>
        <variable initial_value="1.302" name="k1_f" units="dimensionless"/>
        <variable initial_value="0.464" name="k2_f" units="dimensionless"/>
        <variable initial_value="0.395" name="k3_f" units="dimensionless"/>
        <variable initial_value="2.2643e+03" name="k4_f" units="dimensionless"/>
        <variable initial_value="7.35" name="pH_f" units="dimensionless"/>
        <variable initial_value="33" name="Pin_m" units="mmHg"/>
        <variable initial_value="15" name="Pin_f" units="mmHg"/>
        <variable name="x_m" units="dimensionless"/>
        <variable name="x_m1" units="dimensionless"/>
        <variable name="x_f" units="dimensionless"/>
        <variable name="x_f1" units="dimensionless"/>
        <variable name="S_m" units="dimensionless"/>
        <variable name="S_f" units="dimensionless"/>
        <variable initial_value="0" name="t" units="second"/>
        <variable name="O2_m" units="ml_per_ml"/>
        <variable name="O2_f" units="ml_per_ml"/>
        <variable initial_value="12.5" name="Hb_m" units="dimensionless"/>
        <variable initial_value="15.5" name="Hb_f" units="dimensionless"/>
        <variable initial_value="3.0263e-05" name="a" units="dimensionless"/>
        <variable initial_value="164" name="ks_m" units="dimensionless"/>
        <variable initial_value="164" name="ks_f" units="dimensionless"/>
        <variable initial_value="164" name="kh" units="dimensionless"/>
        <variable initial_value="1" name="B" units="dimensionless"/>
        <variable initial_value="4.89e-7" name="V_m" units="ml"/>
        <variable initial_value="4.89e-7" name="V_f" units="ml"/>
        <variable initial_value="1.2014e-04" name="Q_m" units="ml_per_min"/>
        <variable initial_value="1.2014e-04" name="Q_f" units="ml_per_min"/>
        <variable initial_value="6.21" name="Dm" units="ml_per_ml_min_mmHg"/>
        <variable initial_value="3.287" name="c1" units="dimensionless"/>
        <variable initial_value="0.1117" name="c2" units="dimensionless"/>
        <variable initial_value="7.05e-3" name="c3" units="dimensionless"/>
        <variable initial_value="0.8142" name="c4" units="dimensionless"/>
        <variable name="theta_m" units="dimensionless"/>
        <variable name="theta_f" units="dimensionless"/>
        <variable name="x1_m" units="dimensionless"/>
        <variable name="x1_f" units="dimensionless"/>
        <variable name="R_m" units="dimensionless"/>
        <variable name="R_f" units="dimensionless"/>
        <variable name="R_p" units="dimensionless"/>
        <variable name="R_t" units="dimensionless"/>
        <variable name="Dp" units="dimensionless"/>
        <variable name="dodt_m" units="dimensionless"/>
        <variable name="dodt_f" units="dimensionless"/>
        <variable name="O2_mnew" units="ml_per_ml"/>
        <variable name="O2_fnew" units="ml_per_ml"/>
        <variable name="f_m" units="dimensionless"/>
        <variable name="f_f" units="dimensionless"/>
        <variable name="upper_m" units="dimensionless"/>
        <variable name="lower_m" units="dimensionless"/>
        <variable name="upper_f" units="dimensionless"/>
        <variable name="lower_f" units="dimensionless"/>
        <variable name="dfdP_f" units="dimensionless"/>
        <variable name="dfdP_m" units="dimensionless"/>
        <variable name="tt" units="second"/>
        <variable name="dt" units="second"/>
        <variable name="Pend1_m" units="mmHg"/>
        <variable name="Pend1_f" units="mmHg"/>
        <variable name="theta_96_m" units="dimensionless"/>
        <variable name="theta_96_f" units="dimensionless"/>
        <variable name="x_m_sec" units="dimensionless"/>
        <variable name="x_m1_sec" units="dimensionless"/>
        <variable name="S_m_sec" units="dimensionless"/>
        <variable name="x_f_sec" units="dimensionless"/>
        <variable name="x_f1_sec" units="dimensionless"/>
        <variable name="S_f_sec" units="dimensionless"/>
        <variable name="theta_96_m_sec" units="dimensionless"/>
        <variable name="theta_96_f_sec" units="dimensionless"/>
        <variable name="x1_m_sec" units="dimensionless"/>
        <variable name="theta_m_sec" units="dimensionless"/>
        <variable name="x1_f_sec" units="dimensionless"/>
        <variable name="theta_f_sec" units="dimensionless"/>
        <variable name="R_m_sec" units="dimensionless"/>
        <variable name="R_f_sec" units="dimensionless"/>
        <variable name="R_p_sec" units="dimensionless"/>
        <variable name="R_t_sec" units="dimensionless"/>
        <variable name="Dp_sec" units="dimensionless"/>
        <variable name="dodt_m_sec" units="dimensionless"/>
        <variable name="dodt_f_sec" units="dimensionless"/>
        <variable name="O2_mnew_sec" units="ml_per_ml"/>
        <variable name="O2_fnew_sec" units="ml_per_ml"/>
        <variable name="f_m_sec" units="dimensionless"/>
        <variable name="f_f_sec" units="dimensionless"/>
        <variable name="upper_m_sec" units="dimensionless"/>
        <variable name="lower_m_sec" units="dimensionless"/>
        <variable name="dfdP_m_sec" units="dimensionless"/>
        <variable name="upper_f_sec" units="dimensionless"/>
        <variable name="lower_f_sec" units="dimensionless"/>
        <variable name="dfdP_f_sec" units="dimensionless"/>
        <variable name="Pend2_m" units="mmHg"/>
        <variable name="Pend2_f" units="mmHg"/>
        <variable name="x_m_trd" units="dimensionless"/>
        <variable name="x_m1_trd" units="dimensionless"/>
        <variable name="S_m_trd" units="dimensionless"/>
        <variable name="x_f_trd" units="dimensionless"/>
        <variable name="x_f1_trd" units="dimensionless"/>
        <variable name="S_f_trd" units="dimensionless"/>
        <variable name="theta_96_m_trd" units="dimensionless"/>
        <variable name="theta_96_f_trd" units="dimensionless"/>
        <variable name="x1_m_trd" units="dimensionless"/>
        <variable name="theta_m_trd" units="dimensionless"/>
        <variable name="x1_f_trd" units="dimensionless"/>
        <variable name="theta_f_trd" units="dimensionless"/>
        <variable name="R_m_trd" units="dimensionless"/>
        <variable name="R_f_trd" units="dimensionless"/>
        <variable name="R_p_trd" units="dimensionless"/>
        <variable name="R_t_trd" units="dimensionless"/>
        <variable name="Dp_trd" units="dimensionless"/>
        <variable name="dodt_m_trd" units="dimensionless"/>
        <variable name="dodt_f_trd" units="dimensionless"/>
        <variable name="O2_mnew_trd" units="ml_per_ml"/>
        <variable name="O2_fnew_trd" units="ml_per_ml"/>
        <variable name="f_m_trd" units="dimensionless"/>
        <variable name="f_f_trd" units="dimensionless"/>
        <variable name="upper_m_trd" units="dimensionless"/>
        <variable name="lower_m_trd" units="dimensionless"/>
        <variable name="dfdP_m_trd" units="dimensionless"/>
        <variable name="upper_f_trd" units="dimensionless"/>
        <variable name="lower_f_trd" units="dimensionless"/>
        <variable name="dfdP_f_trd" units="dimensionless"/>
        <variable name="Pend3_m" units="mmHg"/>
        <variable name="Pend3_f" units="mmHg"/>
        <variable name="x_m_for" units="dimensionless"/>
        <variable name="x_m1_for" units="dimensionless"/>
        <variable name="S_m_for" units="dimensionless"/>
        <variable name="x_f_for" units="dimensionless"/>
        <variable name="x_f1_for" units="dimensionless"/>
        <variable name="S_f_for" units="dimensionless"/>
        <variable name="theta_96_m_for" units="dimensionless"/>
        <variable name="theta_96_f_for" units="dimensionless"/>
        <variable name="x1_m_for" units="dimensionless"/>
        <variable name="theta_m_for" units="dimensionless"/>
        <variable name="x1_f_for" units="dimensionless"/>
        <variable name="theta_f_for" units="dimensionless"/>
        <variable name="R_m_for" units="dimensionless"/>
        <variable name="R_f_for" units="dimensionless"/>
        <variable name="R_p_for" units="dimensionless"/>
        <variable name="R_t_for" units="dimensionless"/>
        <variable name="Dp_for" units="dimensionless"/>
        <variable name="dodt_m_for" units="dimensionless"/>
        <variable name="dodt_f_for" units="dimensionless"/>
        <variable name="O2_mnew_final" units="ml_per_ml"/>
        <variable name="O2_fnew_final" units="ml_per_ml"/>
        <variable name="f_m_final" units="dimensionless"/>
        <variable name="f_f_final" units="dimensionless"/>
        <variable name="upper_m_final" units="dimensionless"/>
        <variable name="lower_m_final" units="dimensionless"/>
        <variable name="dfdP_m_final" units="dimensionless"/>
        <variable name="upper_f_final" units="dimensionless"/>
        <variable name="lower_f_final" units="dimensionless"/>
        <variable name="dfdP_f_final" units="dimensionless"/>
        <variable name="Pfinal_m" units="mmHg"/>
        <variable name="Pfinal_f" units="mmHg"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>x_m</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pin_m</ci>
                            </apply>
                            <ci>k1_m</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_m</ci>
                            <apply>
                                <minus/>
                                <ci>pH_m</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m1</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_m</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_m1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_m1</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pin_f</ci>
                            </apply>
                            <ci>k1_f</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_f</ci>
                            <apply>
                                <minus/>
                                <ci>pH_f</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f1</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_f</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_f1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_f1</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_m</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">1.34</cn>
                                <ci>Hb_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">100</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_m</ci>
                                <apply>
                                    <power/>
                                    <ci>Pin_m</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>a</ci>
                        <ci>Pin_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_f</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">1.34</cn>
                                <ci>Hb_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">100</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_f</ci>
                                <apply>
                                    <power/>
                                    <ci>Pin_f</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_f</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>a</ci>
                        <ci>Pin_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x1_m</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_m</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_m</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_m</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_m</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_m</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_m</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_m</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_m</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_m</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
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                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_m</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_m</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_m</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_m</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>x1_f</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_f</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_f</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_f</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_f</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_f</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_f</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_f</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_f</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_f</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_f</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_f</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_f</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_f</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>R_m</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_m</ci>
                        <ci>V_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_f</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_f</ci>
                        <ci>V_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_p</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>Dm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_t</ci>
                <apply>
                    <plus/>
                    <ci>R_m</ci>
                    <ci>R_f</ci>
                    <ci>R_p</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Dp</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>R_t</ci>
                    </apply>
                    <cn cellml:units="dimensionless">60</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_m</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>B</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Dp</ci>
                        <apply>
                            <minus/>
                            <ci>Pin_m</ci>
                            <ci>Pin_f</ci>
                        </apply>
                    </apply>
                    <ci>V_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_f</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>B</ci>
                            </apply>
                            <ci>V_m</ci>
                        </apply>
                        <ci>V_f</ci>
                    </apply>
                    <ci>dodt_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tt</ci>
                <apply>
                    <divide/>
                    <ci>V_f</ci>
                    <apply>
                        <divide/>
                        <ci>Q_f</ci>
                        <cn cellml:units="dimensionless">60</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dt</ci>
                <apply>
                    <divide/>
                    <ci>tt</ci>
                    <cn cellml:units="dimenstionless">100</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_mnew</ci>
                <apply>
                    <plus/>
                    <ci>O2_m</ci>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>dodt_m</ci>
                            <ci>dt</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_fnew</ci>
                <apply>
                    <plus/>
                    <ci>O2_f</ci>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>dodt_f</ci>
                            <ci>dt</ci>
                        </apply>
                        <cn cellml:units="dimensionlsee">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_m</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_m</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_m</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pin_m</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_m</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pin_m</ci>
                        </apply>
                    </apply>
                    <ci>O2_mnew</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_f</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_f</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_f</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pin_f</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_f</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pin_f</ci>
                        </apply>
                    </apply>
                    <ci>O2_fnew</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_m</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_m</ci>
                    <ci>k4_m</ci>
                    <apply>
                        <power/>
                        <ci>Pin_m</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_m</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_m</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_m</ci>
                                <apply>
                                    <power/>
                                    <ci>Pin_m</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_m</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_m</ci>
                        <ci>lower_m</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_f</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_f</ci>
                    <ci>k4_f</ci>
                    <apply>
                        <power/>
                        <ci>Pin_f</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_f</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_f</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_f</ci>
                                <apply>
                                    <power/>
                                    <ci>Pin_f</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_f</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_f</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_f</ci>
                        <ci>lower_f</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend1_m</ci>
                <apply>
                    <minus/>
                    <ci>Pin_m</ci>
                    <apply>
                        <divide/>
                        <ci>f_m</ci>
                        <ci>dfdP_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend1_f</ci>
                <apply>
                    <minus/>
                    <ci>Pin_f</ci>
                    <apply>
                        <divide/>
                        <ci>f_f</ci>
                        <ci>dfdP_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend1_m</ci>
                            </apply>
                            <ci>k1_m</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_m</ci>
                            <apply>
                                <minus/>
                                <ci>pH_m</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m1_sec</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_m_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_m_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_m1_sec</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_m1_sec</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend1_f</ci>
                            </apply>
                            <ci>k1_f</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_f</ci>
                            <apply>
                                <minus/>
                                <ci>pH_f</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f1_sec</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_f_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_f_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_f1_sec</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_f1_sec</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x1_m_sec</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_sec</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_m_sec</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_m_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_m_sec</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_m_sec</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_m</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_m_sec</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_m_sec</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_m_sec</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_m_sec</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_sec</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_m_sec</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_m_sec</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_m</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_m</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>x1_f_sec</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_sec</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_f_sec</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_f_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_f_sec</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_f_sec</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_f</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_f_sec</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_f_sec</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_f_sec</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_f_sec</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_sec</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_f_sec</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_f_sec</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_f</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_f</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>R_m_sec</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_m_sec</ci>
                        <ci>V_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_f_sec</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_f_sec</ci>
                        <ci>V_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_p_sec</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>Dm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_t_sec</ci>
                <apply>
                    <plus/>
                    <ci>R_m_sec</ci>
                    <ci>R_f_sec</ci>
                    <ci>R_p_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Dp_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>R_t_sec</ci>
                    </apply>
                    <cn cellml:units="dimensionless">60</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_m_sec</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>B</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Dp_sec</ci>
                        <apply>
                            <minus/>
                            <ci>Pend1_m</ci>
                            <ci>Pend1_f</ci>
                        </apply>
                    </apply>
                    <ci>V_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_f_sec</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>B</ci>
                            </apply>
                            <ci>V_m</ci>
                        </apply>
                        <ci>V_f</ci>
                    </apply>
                    <ci>dodt_m_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_mnew_sec</ci>
                <apply>
                    <plus/>
                    <ci>O2_m</ci>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>dodt_m_sec</ci>
                            <ci>dt</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_fnew_sec</ci>
                <apply>
                    <plus/>
                    <ci>O2_f</ci>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>dodt_f_sec</ci>
                            <ci>dt</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_m_sec</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_m</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_m</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend1_m</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_m</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend1_m</ci>
                        </apply>
                    </apply>
                    <ci>O2_mnew_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_f_sec</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_f</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_f</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend1_f</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_f</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend1_f</ci>
                        </apply>
                    </apply>
                    <ci>O2_fnew_sec</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_m_sec</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_m</ci>
                    <ci>k4_m</ci>
                    <apply>
                        <power/>
                        <ci>Pend1_m</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_m_sec</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_m</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_m</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend1_m</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_m_sec</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_m_sec</ci>
                        <ci>lower_m_sec</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_f_sec</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_f</ci>
                    <ci>k4_f</ci>
                    <apply>
                        <power/>
                        <ci>Pend1_f</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_f_sec</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_f</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_f</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend1_f</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_f</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_f_sec</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_f_sec</ci>
                        <ci>lower_f_sec</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend2_m</ci>
                <apply>
                    <minus/>
                    <ci>Pend1_m</ci>
                    <apply>
                        <divide/>
                        <ci>f_m_sec</ci>
                        <ci>dfdP_m_sec</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend2_f</ci>
                <apply>
                    <minus/>
                    <ci>Pend1_f</ci>
                    <apply>
                        <divide/>
                        <ci>f_f_sec</ci>
                        <ci>dfdP_f_sec</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend2_m</ci>
                            </apply>
                            <ci>k1_m</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_m</ci>
                            <apply>
                                <minus/>
                                <ci>pH_m</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m1_trd</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_m_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_m_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_m1_trd</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_m1_trd</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend2_f</ci>
                            </apply>
                            <ci>k1_f</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_f</ci>
                            <apply>
                                <minus/>
                                <ci>pH_f</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f1_trd</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_f_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_f_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_f1_trd</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_f1_trd</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x1_m_trd</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_trd</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_m_trd</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_m_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_m_trd</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_m_trd</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_m</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_m_trd</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_m_trd</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_m_trd</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_m_trd</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_trd</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_m_trd</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_m_trd</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_m</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_m</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>x1_f_trd</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_trd</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_f_trd</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_f_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_f_trd</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_f_trd</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_f</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_f_trd</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_f_trd</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_f_trd</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_f_trd</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_trd</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_f_trd</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_f_trd</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_f</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_f</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>R_m_trd</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_m_trd</ci>
                        <ci>V_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_f_trd</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_f_trd</ci>
                        <ci>V_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_p_trd</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>Dm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_t_trd</ci>
                <apply>
                    <plus/>
                    <ci>R_m_trd</ci>
                    <ci>R_f_trd</ci>
                    <ci>R_p_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Dp_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>R_t_trd</ci>
                    </apply>
                    <cn cellml:units="dimensionless">60</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_m_trd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>B</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Dp_trd</ci>
                        <apply>
                            <minus/>
                            <ci>Pend2_m</ci>
                            <ci>Pend2_f</ci>
                        </apply>
                    </apply>
                    <ci>V_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_f_trd</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>B</ci>
                            </apply>
                            <ci>V_m</ci>
                        </apply>
                        <ci>V_f</ci>
                    </apply>
                    <ci>dodt_m_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_mnew_trd</ci>
                <apply>
                    <plus/>
                    <ci>O2_m</ci>
                    <apply>
                        <times/>
                        <ci>dodt_m_trd</ci>
                        <ci>dt</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_fnew_trd</ci>
                <apply>
                    <plus/>
                    <ci>O2_f</ci>
                    <apply>
                        <times/>
                        <ci>dodt_f_trd</ci>
                        <ci>dt</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_m_trd</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_m</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_m</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend2_m</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_m</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend2_m</ci>
                        </apply>
                    </apply>
                    <ci>O2_mnew_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_f_trd</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_f</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_f</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend2_f</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_f</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend2_f</ci>
                        </apply>
                    </apply>
                    <ci>O2_fnew_trd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_m_trd</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_m</ci>
                    <ci>k4_m</ci>
                    <apply>
                        <power/>
                        <ci>Pend2_m</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_m_trd</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_m</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_m</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend2_m</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_m_trd</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_m_trd</ci>
                        <ci>lower_m_trd</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_f_trd</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_f</ci>
                    <ci>k4_f</ci>
                    <apply>
                        <power/>
                        <ci>Pend2_f</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_f_trd</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_f</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_f</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend2_f</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_f</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_f_trd</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_f_trd</ci>
                        <ci>lower_f_trd</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend3_m</ci>
                <apply>
                    <minus/>
                    <ci>Pend2_m</ci>
                    <apply>
                        <divide/>
                        <ci>f_m_trd</ci>
                        <ci>dfdP_m_trd</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pend3_f</ci>
                <apply>
                    <minus/>
                    <ci>Pend2_f</ci>
                    <apply>
                        <divide/>
                        <ci>f_f_trd</ci>
                        <ci>dfdP_f_trd</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend3_m</ci>
                            </apply>
                            <ci>k1_m</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_m</ci>
                            <apply>
                                <minus/>
                                <ci>pH_m</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_m1_for</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_m_for</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_m_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_m1_for</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_m1_for</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <log/>
                                <ci>Pend3_f</ci>
                            </apply>
                            <ci>k1_f</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k2_f</ci>
                            <apply>
                                <minus/>
                                <ci>pH_f</ci>
                                <cn cellml:units="dimensionless">7.4</cn>
                            </apply>
                        </apply>
                    </apply>
                    <ci>k3_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_f1_for</ci>
                <apply>
                    <power/>
                    <cn cellml:units="dimensionless">10</cn>
                    <ci>x_f_for</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>S_f_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">100</cn>
                        <ci>x_f1_for</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>x_f1_for</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x1_m_for</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_for</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_m_for</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_m_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_m_for</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_m_for</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_m</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_m_for</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_m_for</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_m_for</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_m_for</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_m_for</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_m_for</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_m_for</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_m</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_m</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>x1_f_for</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <cn cellml:units="dimensionless">96</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_for</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>c2</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">100</cn>
                                    <ci>S_f_for</ci>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>theta_96_f_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <plus/>
                                                <apply>
                                                    <times/>
                                                    <ci>c1</ci>
                                                    <apply>
                                                        <minus/>
                                                        <cn cellml:units="dimensionless">1</cn>
                                                        <ci>x1_f_for</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>c3</ci>
                                                    <ci>S_f_for</ci>
                                                </apply>
                                            </apply>
                                            <ci>c4</ci>
                                        </apply>
                                        <cn cellml:units="dimensionless">1.34</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">100</cn>
                                </apply>
                                <ci>Hb_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">0.2</cn>
                        </apply>
                        <ci>ks_f</ci>
                    </apply>
                    <ci>kh</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>theta_f_for</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <minus/>
                            <ci>theta_96_f_for</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta_96_f_for</ci>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">96</cn>
                                        <ci>S_f_for</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>S_f_for</ci>
                            <cn cellml:units="dimensionless">96</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <apply>
                                                    <minus/>
                                                    <apply>
                                                        <plus/>
                                                        <apply>
                                                            <times/>
                                                            <ci>c1</ci>
                                                            <apply>
                                                                <minus/>
                                                                <cn cellml:units="dimensionless">1</cn>
                                                                <ci>x1_f_for</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>c3</ci>
                                                            <ci>S_f_for</ci>
                                                        </apply>
                                                    </apply>
                                                    <ci>c4</ci>
                                                </apply>
                                                <cn cellml:units="dimensionless">1.34</cn>
                                            </apply>
                                            <cn cellml:units="dimensionless">100</cn>
                                        </apply>
                                        <ci>Hb_f</ci>
                                    </apply>
                                    <cn cellml:units="dimensiionless">0.2</cn>
                                </apply>
                                <ci>ks_f</ci>
                            </apply>
                            <ci>kh</ci>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>R_m_for</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_m_for</ci>
                        <ci>V_m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_f_for</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <ci>theta_f_for</ci>
                        <ci>V_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_p_for</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>Dm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_t_for</ci>
                <apply>
                    <plus/>
                    <ci>R_m_for</ci>
                    <ci>R_f_for</ci>
                    <ci>R_p_for</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Dp_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>R_t_for</ci>
                    </apply>
                    <cn cellml:units="dimensionless">60</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_m_for</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>B</ci>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>Dp_for</ci>
                        <apply>
                            <minus/>
                            <ci>Pend3_m</ci>
                            <ci>Pend3_f</ci>
                        </apply>
                    </apply>
                    <ci>V_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dodt_f_for</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>B</ci>
                            </apply>
                            <ci>V_m</ci>
                        </apply>
                        <ci>V_f</ci>
                    </apply>
                    <ci>dodt_m_for</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_mnew_final</ci>
                <apply>
                    <plus/>
                    <ci>O2_m</ci>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <cn cellml:units="dimensionless">6</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>dodt_m</ci>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>dodt_m_sec</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>dodt_m_trd</ci>
                            </apply>
                            <ci>dodt_m_for</ci>
                        </apply>
                        <ci>dt</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O2_fnew_final</ci>
                <apply>
                    <plus/>
                    <ci>O2_f</ci>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <cn cellml:units="dimensionless">6</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>dodt_f</ci>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>dodt_f_sec</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>dodt_f_trd</ci>
                            </apply>
                            <ci>dodt_f_for</ci>
                        </apply>
                        <ci>dt</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_m_final</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_m</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_m</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend3_m</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_m</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend3_m</ci>
                        </apply>
                    </apply>
                    <ci>O2_mnew_final</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_f_final</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1.34</cn>
                                    <ci>Hb_f</ci>
                                </apply>
                                <cn cellml:units="dimensionless">100</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>k4_f</ci>
                                    <apply>
                                        <power/>
                                        <ci>Pend3_f</ci>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>k3_f</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <cn cellml:units="dimensionless">1</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>a</ci>
                            <ci>Pend3_f</ci>
                        </apply>
                    </apply>
                    <ci>O2_fnew_final</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_m_final</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_m</ci>
                    <ci>k4_m</ci>
                    <apply>
                        <power/>
                        <ci>Pend3_m</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_m</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_m_final</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_m</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_m</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend3_m</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_m</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_m_final</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_m_final</ci>
                        <ci>lower_m_final</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>upper_f_final</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1.34</cn>
                    <ci>Hb_f</ci>
                    <ci>k4_f</ci>
                    <apply>
                        <power/>
                        <ci>Pend3_f</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>k3_f</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>lower_f_final</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">100</cn>
                    <ci>k3_f</ci>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>k4_f</ci>
                                <apply>
                                    <power/>
                                    <ci>Pend3_f</ci>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                        </apply>
                                        <ci>k3_f</ci>
                                    </apply>
                                </apply>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>dfdP_f_final</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <ci>upper_f_final</ci>
                        <ci>lower_f_final</ci>
                    </apply>
                    <ci>a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pfinal_m</ci>
                <apply>
                    <minus/>
                    <ci>Pend3_m</ci>
                    <apply>
                        <divide/>
                        <ci>f_m_final</ci>
                        <ci>dfdP_m_final</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Pfinal_f</ci>
                <apply>
                    <minus/>
                    <ci>Pend3_f</ci>
                    <apply>
                        <divide/>
                        <ci>f_f_final</ci>
                        <ci>dfdP_f_final</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>Pin_m</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>Pfinal_m</ci>
                        <ci>Pin_m</ci>
                    </apply>
                    <ci>dt</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>Pin_f</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>Pfinal_f</ci>
                        <ci>Pin_f</ci>
                    </apply>
                    <ci>dt</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>