Location: Model of Human Jejunal Smooth Muscle Cell Electrophysiology @ 209ecb42181f / Components / ICaL_channel_states_off.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2021-06-21 15:32:15+12:00
Desc:
Correct the figure numbers in the doc and typos; Change the default temerature back to 310K for Periodic_stimulation.
Permanent Source URI:
https://models.physiomeproject.org/workspace/692/rawfile/209ecb42181f3204db0c1119bff2279b6a9b50e0/Components/ICaL_channel_states_off.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="ICaL_channel_states" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="units.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="ms" units_ref="ms"/>
        <units name="mV" units_ref="mV"/>
        <units name="per_ms" units_ref="per_ms"/>
    </import>
    <import xlink:href="temperature_factor.cellml">
        <component component_ref="temperature_factor" name="temperature_factor"/>
    </import>
    <component name="ICaL_channel_states">
        <variable name="C0_init" public_interface="in" units="dimensionless"/>
        <variable name="C1_init" public_interface="in" units="dimensionless"/>
        <variable name="C2_init" public_interface="in" units="dimensionless"/>
        <variable name="C3_init" public_interface="in" units="dimensionless"/>
        <variable name="C0Ca_init" public_interface="in" units="dimensionless"/>
        <variable name="C1Ca_init" public_interface="in" units="dimensionless"/>
        <variable name="C2Ca_init" public_interface="in" units="dimensionless"/>
        <variable name="C3Ca_init" public_interface="in" units="dimensionless"/>
        <variable name="ICa_init" public_interface="in" units="dimensionless"/>
        <variable name="IVs_init" public_interface="in" units="dimensionless"/>
        <variable name="IVf_init" public_interface="in" units="dimensionless"/>
        <variable name="IVfCa_init" public_interface="in" units="dimensionless"/>
        <variable name="IVsCa_init" public_interface="in" units="dimensionless"/>
        <variable name="O_CaL_init" public_interface="in" units="dimensionless"/>
        <variable name="time" public_interface="in" units="ms"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="Cai" public_interface="in" units="mM"/>
        <variable name="Q10Ca" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
        <variable name="T0" private_interface="out" public_interface="in" units="kelvin"/>
        <variable initial_value="C0_init" name="C0" units="dimensionless"/>
        <variable initial_value="C1_init" name="C1" units="dimensionless"/>
        <variable initial_value="C2_init" name="C2" units="dimensionless"/>
        <variable initial_value="C3_init" name="C3" units="dimensionless"/>
        <variable initial_value="C0Ca_init" name="C0Ca" units="dimensionless"/>
        <variable initial_value="C1Ca_init" name="C1Ca" units="dimensionless"/>
        <variable initial_value="C2Ca_init" name="C2Ca" units="dimensionless"/>
        <variable initial_value="C3Ca_init" name="C3Ca" units="dimensionless"/>
        <variable initial_value="ICa_init" name="ICa" units="dimensionless"/>
        <variable initial_value="IVs_init" name="IVs" units="dimensionless"/>
        <variable initial_value="IVf_init" name="IVf" units="dimensionless"/>
        <variable initial_value="IVfCa_init" name="IVfCa" units="dimensionless"/>
        <variable initial_value="IVfCa_init" name="IVsCa" units="dimensionless"/>
        <variable name="alpha" units="per_ms"/>
        <variable name="beta" units="per_ms"/>
        <variable name="alpha_0" units="per_ms"/>
        <variable name="alpha_1" units="per_ms"/>
        <variable name="alpha_2" units="per_ms"/>
        <variable name="alpha_3" units="per_ms"/>
        <variable name="beta_0" units="per_ms"/>
        <variable name="beta_1" units="per_ms"/>
        <variable name="beta_2" units="per_ms"/>
        <variable name="beta_3" units="per_ms"/>
        <variable name="delta" units="per_ms"/>
        <variable name="theta" units="per_ms"/>
        <variable name="phi_s" units="per_ms"/>
        <variable name="phi_f" units="per_ms"/>
        <variable name="omega_s" units="per_ms"/>
        <variable name="omega_f" units="per_ms"/>
        <variable name="omega_fs" units="per_ms"/>
        <variable name="omega_sf" units="per_ms"/>
        <variable name="psi_s" units="per_ms"/>
        <variable name="psi_f" units="per_ms"/>
        <variable name="xi_s" units="per_ms"/>
        <variable name="xi_f" units="per_ms"/>
        <variable name="norm" units="dimensionless"/>
        <variable initial_value="O_CaL_init" name="O_CaL" public_interface="out" units="dimensionless"/>
        <variable name="phi" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>alpha</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.731</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">30</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.2149</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                            </apply>
                            <cn cellml:units="mV">40</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_0</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>alpha</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>alpha</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_2</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>alpha</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>alpha</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_0</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>beta</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>beta</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_2</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>beta</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>beta</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>phi_f</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.4742</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">10</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!--phi_s = phi*0.05956{per_ms}*exp(-V/40{mV}); // the parameter in the paper-->
            <apply>
                <eq/>
                <ci>phi_s</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.005956</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                            </apply>
                            <cn cellml:units="mV">40</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!--the parameter in author provided C code-->
            <apply>
                <eq/>
                <ci>xi_f</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.01407</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                            </apply>
                            <cn cellml:units="mV">300</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>xi_s</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.01213</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">500</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>psi_f</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.02197</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">500</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>psi_s</ci>
                <apply>
                    <times/>
                    <ci>phi</ci>
                    <cn cellml:units="per_ms">0.00232</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                            </apply>
                            <cn cellml:units="mV">280</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>omega_f</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>beta_3</ci>
                        <ci>xi_f</ci>
                        <ci>phi_f</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_3</ci>
                        <ci>psi_f</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>omega_s</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>beta_3</ci>
                        <ci>xi_s</ci>
                        <ci>phi_s</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_3</ci>
                        <ci>psi_s</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>omega_sf</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>xi_s</ci>
                        <ci>psi_f</ci>
                    </apply>
                    <ci>xi_f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>omega_fs</ci>
                <ci>psi_s</ci>
            </apply>
            <apply>
                <eq/>
                <ci>delta</ci>
                <cn cellml:units="per_ms">0</cn>
            </apply>
            <apply>
                <eq/>
                <ci>theta</ci>
                <cn cellml:units="per_ms">0</cn>
            </apply>
            <apply>
                <eq/>
                <ci>norm</ci>
                <apply>
                    <plus/>
                    <ci>C3</ci>
                    <ci>C2</ci>
                    <ci>C1</ci>
                    <ci>C0</ci>
                    <ci>C3Ca</ci>
                    <ci>C2Ca</ci>
                    <ci>C1Ca</ci>
                    <ci>C0Ca</ci>
                    <ci>O_CaL</ci>
                    <ci>ICa</ci>
                    <ci>IVs</ci>
                    <ci>IVf</ci>
                    <ci>IVsCa</ci>
                    <ci>IVfCa</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>C3</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>alpha_2</ci>
                                <ci>C2</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_3</ci>
                                    <ci>beta_2</ci>
                                    <ci>phi_s</ci>
                                    <ci>phi_f</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>C3</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_3</ci>
                            <ci>O_CaL</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_f</ci>
                            <ci>IVf</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_s</ci>
                            <ci>IVs</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>C3Ca</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>C2</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>alpha_1</ci>
                                <ci>C1</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_2</ci>
                                    <ci>beta_1</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>C2</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_2</ci>
                            <ci>C3</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>C2Ca</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
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                    <ci>C1</ci>
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                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>alpha_0</ci>
                                <ci>C0</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_1</ci>
                                    <ci>beta_0</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>C1</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_1</ci>
                            <ci>C2</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>C1Ca</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
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                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
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                    <ci>C0</ci>
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                <apply>
                    <plus/>
                    <apply>
                        <divide/>
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                            <times/>
                            <apply>
                                <minus/>
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                                    <plus/>
                                    <ci>alpha_0</ci>
                                    <ci>theta</ci>
                                </apply>
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                            <ci>C0</ci>
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                        <ci>norm</ci>
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                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_0</ci>
                            <ci>C1</ci>
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                        <ci>norm</ci>
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                    <apply>
                        <divide/>
                        <apply>
                            <times/>
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                            <ci>C0Ca</ci>
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                        <ci>norm</ci>
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                <eq/>
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                    <ci>C3Ca</ci>
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                    <plus/>
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                        <minus/>
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                            <plus/>
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                                <divide/>
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                                    <times/>
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                                    <ci>C3</ci>
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                                <ci>norm</ci>
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                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>alpha_2</ci>
                                    <ci>C2Ca</ci>
                                </apply>
                                <ci>norm</ci>
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                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_3</ci>
                                    <ci>beta_2</ci>
                                    <ci>phi_f</ci>
                                    <ci>phi_s</ci>
                                    <ci>delta</ci>
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                                <ci>C3Ca</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_3</ci>
                            <ci>ICa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_f</ci>
                            <ci>IVfCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_s</ci>
                            <ci>IVsCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
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                    <ci>C2Ca</ci>
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                    <plus/>
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                        <minus/>
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                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta</ci>
                                    <ci>C2</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>alpha_1</ci>
                                    <ci>C1Ca</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_2</ci>
                                    <ci>beta_1</ci>
                                    <ci>delta</ci>
                                </apply>
                                <ci>C2Ca</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>beta_2</ci>
                            <ci>C3Ca</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>C1Ca</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta</ci>
                                    <ci>C1</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>alpha_0</ci>
                                    <ci>C0Ca</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
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                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>alpha_1</ci>
                                    <ci>beta_0</ci>
                                    <ci>delta</ci>
                                </apply>
                                <ci>C1Ca</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
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                            <times/>
                            <ci>beta_1</ci>
                            <ci>C2Ca</ci>
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                        <ci>norm</ci>
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                </apply>
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                <eq/>
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                    <ci>C0Ca</ci>
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                    <plus/>
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                        <minus/>
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                            <divide/>
                            <apply>
                                <times/>
                                <ci>theta</ci>
                                <ci>C0</ci>
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                            <ci>norm</ci>
                        </apply>
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                            <divide/>
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                                <times/>
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                                    <plus/>
                                    <ci>alpha_0</ci>
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                                <ci>C0Ca</ci>
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                            <ci>norm</ci>
                        </apply>
                    </apply>
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                        <divide/>
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                            <times/>
                            <ci>beta_0</ci>
                            <ci>C1Ca</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>O_CaL</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>alpha_3</ci>
                                <ci>C3</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>beta_3</ci>
                                    <ci>psi_f</ci>
                                    <ci>psi_s</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>O_CaL</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>xi_f</ci>
                            <ci>IVf</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>xi_s</ci>
                            <ci>IVs</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>ICa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>ICa</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta</ci>
                                    <ci>O_CaL</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>alpha_3</ci>
                                    <ci>C3Ca</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>beta_3</ci>
                                    <ci>psi_f</ci>
                                    <ci>psi_s</ci>
                                    <ci>delta</ci>
                                </apply>
                                <ci>ICa</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>xi_f</ci>
                            <ci>IVfCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>xi_s</ci>
                            <ci>IVsCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>IVs</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>phi_s</ci>
                                    <ci>C3</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>psi_s</ci>
                                    <ci>O_CaL</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>omega_fs</ci>
                                    <ci>IVf</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>omega_s</ci>
                                    <ci>xi_s</ci>
                                    <ci>omega_sf</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>IVs</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>IVsCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>IVf</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>phi_f</ci>
                                    <ci>C3</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>psi_f</ci>
                                    <ci>O_CaL</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>omega_f</ci>
                                    <ci>xi_f</ci>
                                    <ci>omega_fs</ci>
                                    <ci>theta</ci>
                                </apply>
                                <ci>IVf</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_sf</ci>
                            <ci>IVs</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>delta</ci>
                            <ci>IVfCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>IVsCa</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>theta</ci>
                                <ci>IVs</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>phi_s</ci>
                                <ci>C3Ca</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>psi_s</ci>
                                <ci>ICa</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>omega_fs</ci>
                                <ci>IVfCa</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <plus/>
                                <ci>omega_s</ci>
                                <ci>xi_s</ci>
                                <ci>omega_sf</ci>
                                <ci>delta</ci>
                            </apply>
                            <ci>IVsCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>IVfCa</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>theta</ci>
                                    <ci>IVf</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>phi_f</ci>
                                    <ci>C3Ca</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>psi_f</ci>
                                    <ci>ICa</ci>
                                </apply>
                                <ci>norm</ci>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>omega_f</ci>
                                    <ci>xi_f</ci>
                                    <ci>omega_fs</ci>
                                    <ci>delta</ci>
                                </apply>
                                <ci>IVfCa</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>omega_sf</ci>
                            <ci>IVsCa</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="ICaL_channel_states">
            <component_ref component="temperature_factor"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="ICaL_channel_states" component_2="temperature_factor"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="T0" variable_2="T0"/>
        <map_variables variable_1="Q10Ca" variable_2="Q10"/>
        <map_variables variable_1="phi" variable_2="phi"/>
    </connection>
</model>