- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2026-05-22 14:34:26+12:00
- Desc:
- update the params
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/cad/rawfile/464437442fe2529c8751a37cf98977cd34a4135b/models/Terkildsen_NaK_kinetic_modular_V.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#" xmlns:xlink="http://www.w3.org/1999/xlink">
<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"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="per_second">
<unit exponent="-1.0" units="second"/>
</units>
<component name="environment">
<variable name="R" public_interface="in" units="J_per_K_mol"/>
<variable name="T" public_interface="in" 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.Ki" name="Ki" public_interface="in" units="mM"/>
<variable cmeta:id="environment.Ke" name="Ke" public_interface="in" units="mM"/>
<variable cmeta:id="environment.Nai" name="Nai" public_interface="in" units="mM"/>
<variable cmeta:id="environment.MgATP" name="MgATP" public_interface="in" units="mM"/>
<variable cmeta:id="environment.MgADP" name="MgADP" public_interface="in" units="mM"/>
<variable cmeta:id="environment.Pi_total" name="Pi_total" public_interface="in" units="mM"/>
<variable cmeta:id="environment.H" name="H" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>H</ci>
<apply>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH</ci>
</apply>
</apply>
<cn cellml:units="mM">1000</cn>
</apply>
</apply>
</math>
<variable name="pH" public_interface="in" units="dimensionless"/>
<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"/>
<variable name="K_Ki" public_interface="in" units="per_fmol"/>
<variable name="q_0_Ki" public_interface="in" units="fmol"/>
<variable name="K_Ko" public_interface="in" units="per_fmol"/>
<variable name="q_0_Ko" public_interface="in" units="fmol"/>
<variable name="K_Nai" public_interface="in" units="per_fmol"/>
<variable name="q_0_Nai" public_interface="in" units="fmol"/>
<variable name="K_Nao" public_interface="in" units="per_fmol"/>
<variable name="q_0_Nao" public_interface="in" units="fmol"/>
<variable name="K_ATP" public_interface="in" units="per_fmol"/>
<variable name="q_0_ATP" public_interface="in" units="fmol"/>
<variable name="K_ADP" public_interface="in" units="per_fmol"/>
<variable name="q_0_ADP" public_interface="in" units="fmol"/>
<variable name="K_Pi" public_interface="in" units="per_fmol"/>
<variable name="q_0_Pi" public_interface="in" units="fmol"/>
<variable name="K_H" public_interface="in" units="per_fmol"/>
<variable name="q_0_H" public_interface="in" units="fmol"/>
<variable name="mu_Ki" units="J_per_mol"/>
<variable name="v_Ki" units="fmol_per_s"/>
<variable name="mu_Ko" units="J_per_mol"/>
<variable name="v_Ko" units="fmol_per_s"/>
<variable name="mu_Nai" units="J_per_mol"/>
<variable name="v_Nai" units="fmol_per_s"/>
<variable name="mu_Nao" units="J_per_mol"/>
<variable name="v_Nao" units="fmol_per_s"/>
<variable name="mu_ATP" units="J_per_mol"/>
<variable name="v_ATP" units="fmol_per_s"/>
<variable name="mu_ADP" units="J_per_mol"/>
<variable name="v_ADP" units="fmol_per_s"/>
<variable name="mu_Pi" units="J_per_mol"/>
<variable name="v_Pi" units="fmol_per_s"/>
<variable name="mu_H" units="J_per_mol"/>
<variable name="v_H" units="fmol_per_s"/>
<variable name="u_Vm" units="volt"/>
<variable name="i_Vm" units="fA"/>
<variable name="u_0_Vm" public_interface="in" units="volt"/>
<variable name="t" public_interface="in" units="second"/>
<variable name="v_r1" units="fmol_per_s"/>
<variable name="mu_r1_1" units="J_per_mol"/>
<variable name="mu_r1_0" units="J_per_mol"/>
<variable initial_value="1" name="kappa_r1" units="fmol_per_s"/>
<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>
<times/>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">3.0</cn>
<ci>pKd_nak_hpi</ci>
</apply>
</apply>
<cn cellml:units="mM">1</cn>
</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>u_0_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>u_0_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>
<apply>
<eq/>
<ci>mu_Ki</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ki</ci>
<ci>q_0_Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Ki</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ko</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ko</ci>
<ci>q_0_Ko</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Ko</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Nai</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Nai</ci>
<ci>q_0_Nai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Nai</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Nao</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Nao</ci>
<ci>q_0_Nao</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Nao</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_ATP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_ATP</ci>
<ci>q_0_ATP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_ATP</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>v_cyc_nak</ci>
</apply>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_ADP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_ADP</ci>
<ci>q_0_ADP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_ADP</ci>
<apply>
<times/>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Pi</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Pi</ci>
<ci>q_0_Pi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Pi</ci>
<apply>
<times/>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_H</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_H</ci>
<ci>q_0_H</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_H</ci>
<apply>
<times/>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>u_Vm</ci>
<ci>u_0_Vm</ci>
</apply>
<apply>
<eq/>
<ci>i_Vm</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r1</ci>
<apply>
<times/>
<ci>v_cyc_nak</ci>
<cn cellml:units="fmol">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r1_0</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nai</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ko</ci>
</apply>
<ci>mu_ATP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r1_1</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nao</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ki</ci>
</apply>
<ci>mu_ADP</ci>
<ci>mu_Pi</ci>
<ci>mu_H</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>u_Vm</ci>
</apply>
</apply>
</apply>
</math>
</component>
<import xlink:href="NKE_BG_Env.cellml">
<component component_ref="NKE_BG_Env" name="NKE_BG_Env"/>
</import>
<connection>
<map_components component_1="environment" component_2="NKE_BG_Env"/>
<map_variables variable_1="Nae" variable_2="c_Nao"/>
<map_variables variable_1="Nai" variable_2="c_Nai"/>
<map_variables variable_1="Ke" variable_2="c_Ko"/>
<map_variables variable_1="Ki" variable_2="c_Ki"/>
<map_variables variable_1="MgATP" variable_2="c_ATP"/>
<map_variables variable_1="MgADP" variable_2="c_ADP"/>
<map_variables variable_1="Pi_total" variable_2="c_Pi"/>
<map_variables variable_1="pH" variable_2="pH"/>
<map_variables variable_1="K_Ki" variable_2="K_Ki"/>
<map_variables variable_1="q_0_Ki" variable_2="q_0_Ki"/>
<map_variables variable_1="K_Ko" variable_2="K_Ko"/>
<map_variables variable_1="q_0_Ko" variable_2="q_0_Ko"/>
<map_variables variable_1="K_Nai" variable_2="K_Nai"/>
<map_variables variable_1="q_0_Nai" variable_2="q_0_Nai"/>
<map_variables variable_1="K_Nao" variable_2="K_Nao"/>
<map_variables variable_1="q_0_Nao" variable_2="q_0_Nao"/>
<map_variables variable_1="K_ATP" variable_2="K_ATP"/>
<map_variables variable_1="q_0_ATP" variable_2="q_0_ATP"/>
<map_variables variable_1="K_ADP" variable_2="K_ADP"/>
<map_variables variable_1="q_0_ADP" variable_2="q_0_ADP"/>
<map_variables variable_1="K_Pi" variable_2="K_Pi"/>
<map_variables variable_1="q_0_Pi" variable_2="q_0_Pi"/>
<map_variables variable_1="K_H" variable_2="K_H"/>
<map_variables variable_1="q_0_H" variable_2="q_0_H"/>
<map_variables variable_1="u_0_Vm" variable_2="u_0_Vm"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<import xlink:href="units.cellml">
<units name="fmol" units_ref="fmol"/>
<units name="J_per_K_mol" units_ref="J_per_K_mol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="fA" units_ref="fA"/>
<units name="fmol_per_s" units_ref="fmol_per_s"/>
<units name="per_fmol" units_ref="per_fmol"/>
</import>
<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>
<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>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.K0d_nak_nae">
<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_1">
<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>
</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>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_MgATP">
<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_6">
<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>
</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>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#environment.Kd_nak_nae1">
<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_9">
<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>
</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>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" modelName="Terkildsen_NaK_kinetic_Fig2" rdf:about="#metaid0">
<semsim:modelName xmlns:semsim="http://www.bhi.washington.edu/SemSim#">Terkildsen_NaK_kinetic</semsim:modelName>
</rdf:Description>
<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>
</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>
<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>
</semsim:isComputationalComponentFor>
<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#"/>
</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>
<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>
</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>
<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>
</semsim:isComputationalComponentFor>
</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>
</semsim:isComputationalComponentFor>
</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>
</rdf:RDF>
</model>
