Location: NKE pump @ 464437442fe2 / models / NKE_BG_4_state_ATPNaZK_fixedV.cellml
- 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/NKE_BG_4_state_ATPNaZK_fixedV.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="NKE_BG_4_state_ATPNaZK" 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">
<component name="NKE_BG_4_state_ATPNaZK">
<variable name="K_1" public_interface="in" units="per_fmol"/>
<variable name="K_2" public_interface="in" units="per_fmol"/>
<variable name="K_3" public_interface="in" units="per_fmol"/>
<variable name="K_4" public_interface="in" units="per_fmol"/>
<variable name="K_Ki" public_interface="in" units="per_fmol"/>
<variable name="R" public_interface="in" units="J_per_K_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<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="u_0_Vm" public_interface="in" units="volt"/>
<variable name="z_z1" public_interface="in" units="dimensionless"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="z_z2" public_interface="in" units="dimensionless"/>
<variable name="kappa_r1" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r2" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r3" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r4" public_interface="in" units="fmol_per_s"/>
<variable name="q_1_init" public_interface="in" units="fmol"/>
<variable initial_value="q_1_init" name="q_1" units="fmol"/>
<variable name="mu_1" units="J_per_mol"/>
<variable name="v_1" units="fmol_per_s"/>
<variable name="q_2_init" public_interface="in" units="fmol"/>
<variable initial_value="q_2_init" name="q_2" units="fmol"/>
<variable name="mu_2" units="J_per_mol"/>
<variable name="v_2" units="fmol_per_s"/>
<variable name="q_3_init" public_interface="in" units="fmol"/>
<variable initial_value="q_3_init" name="q_3" units="fmol"/>
<variable name="mu_3" units="J_per_mol"/>
<variable name="v_3" units="fmol_per_s"/>
<variable name="q_4_init" public_interface="in" units="fmol"/>
<variable initial_value="q_4_init" name="q_4" units="fmol"/>
<variable name="mu_4" units="J_per_mol"/>
<variable name="v_4" units="fmol_per_s"/>
<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="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 name="v_r2" units="fmol_per_s"/>
<variable name="mu_r2_1" units="J_per_mol"/>
<variable name="mu_r2_0" units="J_per_mol"/>
<variable name="v_r3" units="fmol_per_s"/>
<variable name="mu_r3_1" units="J_per_mol"/>
<variable name="mu_r3_0" units="J_per_mol"/>
<variable name="v_r4" units="fmol_per_s"/>
<variable name="mu_r4_1" units="J_per_mol"/>
<variable name="mu_r4_0" units="J_per_mol"/>
<variable name="t" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_1</ci>
<ci>q_1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r1</ci>
</apply>
<ci>v_r4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_1</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r1</ci>
</apply>
<ci>v_r4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2</ci>
<ci>q_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_2</ci>
</apply>
<apply>
<minus/>
<ci>v_r1</ci>
<ci>v_r2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_2</ci>
<apply>
<minus/>
<ci>v_r1</ci>
<ci>v_r2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_3</ci>
<ci>q_3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_3</ci>
</apply>
<apply>
<minus/>
<ci>v_r2</ci>
<ci>v_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_3</ci>
<apply>
<minus/>
<ci>v_r2</ci>
<ci>v_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_4</ci>
<ci>q_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_4</ci>
</apply>
<apply>
<minus/>
<ci>v_r3</ci>
<ci>v_r4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_4</ci>
<apply>
<minus/>
<ci>v_r3</ci>
<ci>v_r4</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_r4</ci>
</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_r3</ci>
</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_r1</ci>
</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_r2</ci>
</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>
<minus/>
<ci>v_r1</ci>
</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>
<ci>v_r1</ci>
</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>
<ci>v_r3</ci>
</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>
<ci>v_r3</ci>
</apply>
<apply>
<eq/>
<ci>u_Vm</ci>
<ci>u_0_Vm</ci>
</apply>
<apply>
<eq/>
<ci>i_Vm</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>v_r2</ci>
<ci>z_z1</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>v_r4</ci>
<ci>z_z2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r1</ci>
<apply>
<times/>
<ci>kappa_r1</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_2</ci>
<ci>mu_ADP</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_1</ci>
<ci>mu_ATP</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nai</ci>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r1_1</ci>
<apply>
<plus/>
<ci>mu_2</ci>
<ci>mu_ADP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r1_0</ci>
<apply>
<plus/>
<ci>mu_1</ci>
<ci>mu_ATP</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nai</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r2</ci>
<apply>
<times/>
<ci>kappa_r2</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nao</ci>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>F</ci>
<ci>u_Vm</ci>
<ci>z_z1</ci>
</apply>
<ci>mu_2</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r2_1</ci>
<apply>
<plus/>
<ci>mu_3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>mu_Nao</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r2_0</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>F</ci>
<ci>u_Vm</ci>
<ci>z_z1</ci>
</apply>
<ci>mu_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r3</ci>
<apply>
<times/>
<ci>kappa_r3</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ko</ci>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_4</ci>
<ci>mu_H</ci>
<ci>mu_Pi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r3_1</ci>
<apply>
<plus/>
<ci>mu_4</ci>
<ci>mu_H</ci>
<ci>mu_Pi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r3_0</ci>
<apply>
<plus/>
<ci>mu_3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ko</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r4</ci>
<apply>
<times/>
<ci>kappa_r4</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>F</ci>
<ci>u_Vm</ci>
<ci>z_z2</ci>
</apply>
<ci>mu_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ki</ci>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r4_1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>F</ci>
<ci>u_Vm</ci>
<ci>z_z2</ci>
</apply>
<ci>mu_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Ki</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_r4_0</ci>
<ci>mu_4</ci>
</apply>
</math>
</component>
<import xlink:href="units.cellml">
<units name="fA" units_ref="fA"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="J_per_K_mol" units_ref="J_per_K_mol"/>
<units name="fmol" units_ref="fmol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="fmol_per_s" units_ref="fmol_per_s"/>
</import>
<import xlink:href="NKE_BG_4_state_ATPNaZK_param.cellml">
<component component_ref="NKE_BG_param" name="NKE_BG_param"/>
</import>
<import xlink:href="NKE_BG_Env_fixedV.cellml">
<component component_ref="NKE_BG_Env" name="NKE_BG_Env"/>
</import>
<connection>
<map_components component_1="NKE_BG_4_state_ATPNaZK" component_2="NKE_BG_param"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
<map_variables variable_1="K_2" variable_2="K_2"/>
<map_variables variable_1="K_3" variable_2="K_3"/>
<map_variables variable_1="K_4" variable_2="K_4"/>
<map_variables variable_1="z_z1" variable_2="z_z1"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_z2" variable_2="z_z2"/>
<map_variables variable_1="kappa_r1" variable_2="kappa_r1"/>
<map_variables variable_1="kappa_r2" variable_2="kappa_r2"/>
<map_variables variable_1="kappa_r3" variable_2="kappa_r3"/>
<map_variables variable_1="kappa_r4" variable_2="kappa_r4"/>
<map_variables variable_1="q_1_init" variable_2="q_1_init"/>
<map_variables variable_1="q_2_init" variable_2="q_2_init"/>
<map_variables variable_1="q_3_init" variable_2="q_3_init"/>
<map_variables variable_1="q_4_init" variable_2="q_4_init"/>
</connection>
<connection>
<map_components component_1="NKE_BG_4_state_ATPNaZK" component_2="NKE_BG_Env"/>
<map_variables variable_1="K_Ki" variable_2="K_Ki"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<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"/>
</connection>
</model>