Location: The cardiac Na+ /K+ ATPase: An updated, thermodynamically consistent model @ 6baaa1d0bfa1 / Code / CellML / Terkildsen_NaK_kinetic_modular.cellml

Author:
Michael Pan <mpan92@gmail.com>
Date:
2020-08-27 08:39:13+10:00
Desc:
Fixed units
Permanent Source URI:
https://models.physiomeproject.org/workspace/4ce/rawfile/6baaa1d0bfa1a0772c316ab59631b619df2601f4/Code/CellML/Terkildsen_NaK_kinetic_modular.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model cmeta:id="metaid0" name="Terkildsen_NaK_kinetic_modular" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    <units name="per_second_per_mM">
        <unit exponent="-1.0" units="mM"/>
        <unit exponent="-1.0" units="second"/>
    </units>
    <units name="mV">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="per_second3">
        <unit exponent="-3.0" units="second"/>
    </units>
    <units name="C_per_mol">
        <unit exponent="-1.0" units="mole"/>
        <unit units="coulomb"/>
    </units>
    <units name="mV_per_sec">
        <unit exponent="-1.0" units="second"/>
        <unit units="mV"/>
    </units>
    <units name="per_second_per_mM2">
        <unit exponent="-1.0" units="second"/>
        <unit exponent="-2.0" units="mM"/>
    </units>
    <units name="mM">
        <unit prefix="milli" units="mole"/>
    </units>
    <units name="per_second">
        <unit exponent="-1.0" units="second"/>
    </units>
    <units name="mJ_per_K_per_mol">
        <unit exponent="-1.0" units="mole"/>
        <unit prefix="milli" units="joule"/>
        <unit exponent="-1.0" units="kelvin"/>
    </units>
    <component name="environment">
        <variable cmeta:id="environment.R" initial_value="8314" name="R" units="mJ_per_K_per_mol"/>
        <variable cmeta:id="environment.T" initial_value="310" name="T" units="kelvin"/>
        <variable cmeta:id="environment.F" initial_value="96485" name="F" units="C_per_mol"/>
        <variable cmeta:id="environment.K0d_nak_nai" initial_value="579.7295" name="K0d_nak_nai" units="mM"/>
        <variable cmeta:id="environment.K0d_nak_nae" initial_value="0.0349" name="K0d_nak_nae" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_nai2" initial_value="5.6399" name="Kd_nak_nai2" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_nae2" initial_value="1.0617e4" name="Kd_nak_nae2" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_ke" initial_value="1.0817" name="Kd_nak_ke" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_ki" initial_value="1.6795e4" name="Kd_nak_ki" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_MgATP" initial_value="140.3709" name="Kd_nak_MgATP" units="mM"/>
        <variable cmeta:id="environment.rate_f_nak_1" initial_value="1.4232e3" name="rate_f_nak_1" units="per_second"/>
        <variable cmeta:id="environment.rate_f_nak_2" initial_value="1.1565e4" name="rate_f_nak_2" units="per_second"/>
        <variable cmeta:id="environment.rate_f_nak_3" initial_value="194.4506" name="rate_f_nak_3" units="per_second"/>
        <variable cmeta:id="environment.rate_f_nak_4" initial_value="3.0630e4" name="rate_f_nak_4" units="per_second"/>
        <variable cmeta:id="environment.rate_r_nak_1" initial_value="225.9048" name="rate_r_nak_1" units="per_second_per_mM"/>
        <variable cmeta:id="environment.rate_r_nak_2" initial_value="3.6355e4" name="rate_r_nak_2" units="per_second"/>
        <variable cmeta:id="environment.rate_r_nak_3" initial_value="2.8104e5" name="rate_r_nak_3" units="per_second_per_mM2"/>
        <variable cmeta:id="environment.rate_r_nak_4" initial_value="1.5740e6" name="rate_r_nak_4" units="per_second"/>
        <variable cmeta:id="environment.factor_nak_del" initial_value="-0.0550" name="factor_nak_del" units="dimensionless"/>
        <variable cmeta:id="environment.pKd_nak_hpi" initial_value="6.7700" name="pKd_nak_hpi" units="dimensionless"/>
        <variable cmeta:id="environment.Kd_nak_kpi" initial_value="292" name="Kd_nak_kpi" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_napi" initial_value="224" name="Kd_nak_napi" units="mM"/>
        <variable cmeta:id="environment.Nae" name="Nae" public_interface="in" units="mM"/>
        <variable cmeta:id="environment.Vm" name="Vm" public_interface="in" units="mV"/>
        <variable cmeta:id="environment.Ki" initial_value="0" name="Ki" units="mM"/>
        <variable cmeta:id="environment.Ke" initial_value="5.4" name="Ke" units="mM"/>
        <variable cmeta:id="environment.Nai" initial_value="50" name="Nai" units="mM"/>
        <variable cmeta:id="environment.MgATP" initial_value="10" name="MgATP" units="mM"/>
        <variable cmeta:id="environment.MgADP" initial_value="0" name="MgADP" units="mM"/>
        <variable cmeta:id="environment.Pi_total" initial_value="0" name="Pi_total" units="mM"/>
        <variable cmeta:id="environment.H" initial_value="3.9811e-5" name="H" units="mM"/>
        <variable cmeta:id="environment.Pi" name="Pi" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_nae1" name="Kd_nak_nae1" units="mM"/>
        <variable cmeta:id="environment.Kd_nak_nai1" name="Kd_nak_nai1" units="mM"/>
        <variable cmeta:id="environment.Nae_bound1" name="Nae_bound1" units="dimensionless"/>
        <variable cmeta:id="environment.Nai_bound1" name="Nai_bound1" units="dimensionless"/>
        <variable cmeta:id="environment.Nae_bound2" name="Nae_bound2" units="dimensionless"/>
        <variable cmeta:id="environment.Nai_bound2" name="Nai_bound2" units="dimensionless"/>
        <variable cmeta:id="environment.Ke_bound" name="Ke_bound" units="dimensionless"/>
        <variable cmeta:id="environment.Ki_bound" name="Ki_bound" units="dimensionless"/>
        <variable cmeta:id="environment.MgATP_bound" name="MgATP_bound" units="dimensionless"/>
        <variable cmeta:id="environment.alpha_f_nak_1" name="alpha_f_nak_1" units="per_second"/>
        <variable cmeta:id="environment.alpha_f_nak_2" name="alpha_f_nak_2" units="per_second"/>
        <variable cmeta:id="environment.alpha_f_nak_3" name="alpha_f_nak_3" units="per_second"/>
        <variable cmeta:id="environment.alpha_f_nak_4" name="alpha_f_nak_4" units="per_second"/>
        <variable cmeta:id="environment.alpha_r_nak_1" name="alpha_r_nak_1" units="per_second"/>
        <variable cmeta:id="environment.alpha_r_nak_2" name="alpha_r_nak_2" units="per_second"/>
        <variable cmeta:id="environment.alpha_r_nak_3" name="alpha_r_nak_3" units="per_second"/>
        <variable cmeta:id="environment.alpha_r_nak_4" name="alpha_r_nak_4" units="per_second"/>
        <variable cmeta:id="environment.sig_nak" name="sig_nak" units="per_second3"/>
        <variable cmeta:id="environment.v_cyc_nak" name="v_cyc_nak" public_interface="out" units="per_second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Pi</ci>
                <apply>
                    <divide/>
                    <ci>Pi_total</ci>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <divide/>
                            <ci>Ki</ci>
                            <ci>Kd_nak_kpi</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <ci>H</ci>
                            <apply>
                                <power/>
                                <cn cellml:units="dimensionless">10</cn>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">3.0</cn>
                                    <ci>pKd_nak_hpi</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <divide/>
                            <ci>Nai</ci>
                            <ci>Kd_nak_napi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Kd_nak_nae1</ci>
                <apply>
                    <times/>
                    <ci>K0d_nak_nae</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>factor_nak_del</ci>
                                </apply>
                                <ci>F</ci>
                                <ci>Vm</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>R</ci>
                                <ci>T</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Kd_nak_nai1</ci>
                <apply>
                    <times/>
                    <ci>K0d_nak_nai</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>factor_nak_del</ci>
                                <ci>F</ci>
                                <ci>Vm</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>R</ci>
                                <ci>T</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Nae_bound1</ci>
                <apply>
                    <divide/>
                    <ci>Nae</ci>
                    <ci>Kd_nak_nae1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Nai_bound1</ci>
                <apply>
                    <divide/>
                    <ci>Nai</ci>
                    <ci>Kd_nak_nai1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Nae_bound2</ci>
                <apply>
                    <divide/>
                    <ci>Nae</ci>
                    <ci>Kd_nak_nae2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Nai_bound2</ci>
                <apply>
                    <divide/>
                    <ci>Nai</ci>
                    <ci>Kd_nak_nai2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ke_bound</ci>
                <apply>
                    <divide/>
                    <ci>Ke</ci>
                    <ci>Kd_nak_ke</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ki_bound</ci>
                <apply>
                    <divide/>
                    <ci>Ki</ci>
                    <ci>Kd_nak_ki</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>MgATP_bound</ci>
                <apply>
                    <divide/>
                    <ci>MgATP</ci>
                    <ci>Kd_nak_MgATP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_f_nak_1</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_f_nak_1</ci>
                        <ci>Nai_bound1</ci>
                        <apply>
                            <power/>
                            <ci>Nai_bound2</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>Nai_bound1</ci>
                                <apply>
                                    <power/>
                                    <ci>Nai_bound2</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <ci>Nai_bound2</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Ki_bound</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.0</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_f_nak_2</ci>
                <ci>rate_f_nak_2</ci>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_f_nak_3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_f_nak_3</ci>
                        <apply>
                            <power/>
                            <ci>Ke_bound</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>Nae_bound1</ci>
                                <apply>
                                    <power/>
                                    <ci>Nae_bound2</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Nae_bound2</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Ke_bound</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.0</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_f_nak_4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_f_nak_4</ci>
                        <ci>MgATP_bound</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <ci>MgATP_bound</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_r_nak_1</ci>
                <apply>
                    <times/>
                    <ci>rate_r_nak_1</ci>
                    <ci>MgADP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_r_nak_2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_r_nak_2</ci>
                        <ci>Nae_bound1</ci>
                        <apply>
                            <power/>
                            <ci>Nae_bound2</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>Nae_bound1</ci>
                                <apply>
                                    <power/>
                                    <ci>Nae_bound2</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Nae_bound2</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Ke_bound</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.0</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_r_nak_3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_r_nak_3</ci>
                        <ci>Pi</ci>
                        <ci>H</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <ci>MgATP_bound</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_r_nak_4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rate_r_nak_4</ci>
                        <apply>
                            <power/>
                            <ci>Ki_bound</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>Nai_bound1</ci>
                                <apply>
                                    <power/>
                                    <ci>Nai_bound2</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1.0</cn>
                                    <ci>Nai_bound2</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <ci>Ki_bound</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>sig_nak</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_r_nak_3</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_f_nak_3</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_f_nak_3</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_r_nak_3</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_r_nak_3</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_f_nak_3</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_r_nak_3</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_r_nak_3</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_r_nak_3</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_f_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_r_nak_2</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_r_nak_1</ci>
                        <ci>alpha_f_nak_3</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_f_nak_3</ci>
                        <ci>alpha_r_nak_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>alpha_f_nak_1</ci>
                        <ci>alpha_f_nak_2</ci>
                        <ci>alpha_f_nak_3</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_cyc_nak</ci>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>alpha_f_nak_1</ci>
                            <ci>alpha_f_nak_2</ci>
                            <ci>alpha_f_nak_3</ci>
                            <ci>alpha_f_nak_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>alpha_r_nak_1</ci>
                            <ci>alpha_r_nak_2</ci>
                            <ci>alpha_r_nak_3</ci>
                            <ci>alpha_r_nak_4</ci>
                        </apply>
                    </apply>
                    <ci>sig_nak</ci>
                </apply>
            </apply>
        </math>
    </component>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.K0d_nak_nai">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_0">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_0">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#">
                                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_1">
                                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="http://identifiers.org/fma/FMA:14067" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                                </rdf:Description>
                            </ro:part_of>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-dependent dissociation constant of intracellular Na+</semsim:name>
                        </rdf:Description>
                    </semsim:physicalPropertyOf>
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            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
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                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_2">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-dependent dissociation constant of extracellular Na+</semsim:name>
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                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_MgATP">
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                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_7">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Dissociation constant of MgATP</semsim:name>
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                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
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                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_9">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-independent dissociation of extracellular Na+</semsim:name>
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                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#metaid0" semsim:modelName="Terkildsen_NaK_kinetic_Fig2" xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
            <semsim:modelName xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Terkildsen_NaK_kinetic</semsim:modelName>
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        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_nai1">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_10">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_10">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-independent dissociation of intracellular Na+</semsim:name>
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                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.v_cyc_nak">
            <dcterms:description xmlns:dcterms="http://purl.org/dc/terms/">Cycling velocity</dcterms:description>
        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Vm">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_7">
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00378" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                </rdf:Description>
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            <dcterms:description xmlns:dcterms="http://purl.org/dc/terms/">Membrane potential</dcterms:description>
        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Pi">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_8">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_8">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/chebi/CHEBI:24838" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.t">
            <bqbiol:is xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" rdf:resource="https://identifiers.org/opb/OPB_01023" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_ke">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_4">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_5">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Dissociation constant of extracellular K+</semsim:name>
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                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
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        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_nae2">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_3">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_4">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-independent dissociation constant for extracellular Na+</semsim:name>
                        </rdf:Description>
                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                </rdf:Description>
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        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_ki">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_5">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_6">
                            <ro:part_of xmlns:ro="http://www.obofoundry.org/ro/ro.owl#" rdf:resource="#entity_1" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Dissociation constant of intracellular K+</semsim:name>
                        </rdf:Description>
                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                </rdf:Description>
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        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_nai2">
            <semsim:isComputationalComponentFor xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#property_2">
                    <semsim:physicalPropertyOf xmlns:semsim="http://www.bhi.washington.edu/SemSim#">
                        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#entity_3">
                            <semsim:name xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Voltage-independent dissociation constant of intracellular Na+</semsim:name>
                        </rdf:Description>
                    </semsim:physicalPropertyOf>
                    <semsim:hasPhysicalDefinition xmlns:semsim="http://www.bhi.washington.edu/SemSim#" rdf:resource="https://identifiers.org/opb/OPB_00340" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
                </rdf:Description>
            </semsim:isComputationalComponentFor>
        </rdf:Description>
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</model>