- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-05-08 11:00:57+12:00
- Desc:
- Add CellMLV2 for SGLT1; add fast binding data
- Permanent Source URI:
- http://models.cellml.org/workspace/b65/rawfile/9fd3365f60e3e56a237516b1193b37f49ad44e2a/Electrogenic cotransporter/CellMLV2/SGLT1_BG.cellml
<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="SGLT1_BG">
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="params_BG.cellml">
<component component_ref="params_BG" name="params_BG"/>
</import>
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="./units.cellml">
<units units_ref="fmol_per_s" name="fmol_per_s"/>
<units units_ref="C_per_mol" name="C_per_mol"/>
<units units_ref="per_fmol" name="per_fmol"/>
<units units_ref="fmol" name="fmol"/>
<units units_ref="fA" name="fA"/>
<units units_ref="J_per_mol" name="J_per_mol"/>
<units units_ref="J_per_K_mol" name="J_per_K_mol"/>
</import>
<component name="SGLT1_BG">
<variable name="t" units="second" interface="public"/>
<variable name="R" units="J_per_K_mol" interface="public"/>
<variable name="T" units="kelvin" interface="public"/>
<variable name="F" units="C_per_mol" interface="public"/>
<variable name="K_Nai" units="per_fmol" interface="public"/>
<variable name="q_Nai" units="fmol" interface="public"/>
<variable name="K_Nao" units="per_fmol" interface="public"/>
<variable name="q_Nao" units="fmol" interface="public"/>
<variable name="K_Glci" units="per_fmol" interface="public"/>
<variable name="q_Glci" units="fmol" interface="public"/>
<variable name="K_Glco" units="per_fmol" interface="public"/>
<variable name="q_Glco" units="fmol" interface="public"/>
<variable name="K_1" units="per_fmol" interface="public"/>
<variable name="q_init_1" units="fmol" interface="public"/>
<variable name="K_2" units="per_fmol" interface="public"/>
<variable name="q_init_2" units="fmol" interface="public"/>
<variable name="K_3" units="per_fmol" interface="public"/>
<variable name="q_init_3" units="fmol" interface="public"/>
<variable name="K_4" units="per_fmol" interface="public"/>
<variable name="q_init_4" units="fmol" interface="public"/>
<variable name="K_5" units="per_fmol" interface="public"/>
<variable name="q_init_5" units="fmol" interface="public"/>
<variable name="K_6" units="per_fmol" interface="public"/>
<variable name="q_init_6" units="fmol" interface="public"/>
<variable name="V0_Vm" units="volt" interface="public"/>
<variable name="z_zf1" units="dimensionless" interface="public"/>
<variable name="z_zr1" units="dimensionless" interface="public"/>
<variable name="z_zf6" units="dimensionless" interface="public"/>
<variable name="z_zr6" units="dimensionless" interface="public"/>
<variable name="kappa_r1" units="fmol_per_s" interface="public"/>
<variable name="kappa_r2" units="fmol_per_s" interface="public"/>
<variable name="kappa_r3" units="fmol_per_s" interface="public"/>
<variable name="kappa_r4" units="fmol_per_s" interface="public"/>
<variable name="kappa_r5" units="fmol_per_s" interface="public"/>
<variable name="kappa_r6" units="fmol_per_s" interface="public"/>
<variable name="kappa_r7" units="fmol_per_s" interface="public"/>
<variable name="mu_Nai" units="J_per_mol"/>
<variable name="mu_Nao" units="J_per_mol"/>
<variable name="mu_Glci" units="J_per_mol"/>
<variable name="mu_Glco" units="J_per_mol"/>
<variable name="mu_1" units="J_per_mol"/>
<variable name="v_1" units="fmol_per_s"/>
<variable name="mu_2" units="J_per_mol"/>
<variable name="v_2" units="fmol_per_s"/>
<variable name="mu_3" units="J_per_mol"/>
<variable name="v_3" units="fmol_per_s"/>
<variable name="mu_4" units="J_per_mol"/>
<variable name="v_4" units="fmol_per_s"/>
<variable name="mu_5" units="J_per_mol"/>
<variable name="v_5" units="fmol_per_s"/>
<variable name="mu_6" units="J_per_mol"/>
<variable name="v_6" units="fmol_per_s"/>
<variable name="V_Vm" units="volt"/>
<variable name="V_zf1" units="volt"/>
<variable name="I_zf1" units="fA"/>
<variable name="mu_zf1" units="J_per_mol"/>
<variable name="v_zf1" units="fmol_per_s"/>
<variable name="V_zr1" units="volt"/>
<variable name="I_zr1" units="fA"/>
<variable name="mu_zr1" units="J_per_mol"/>
<variable name="v_zr1" units="fmol_per_s"/>
<variable name="V_zf6" units="volt"/>
<variable name="I_zf6" units="fA"/>
<variable name="mu_zf6" units="J_per_mol"/>
<variable name="v_zf6" units="fmol_per_s"/>
<variable name="V_zr6" units="volt"/>
<variable name="I_zr6" units="fA"/>
<variable name="mu_zr6" units="J_per_mol"/>
<variable name="v_zr6" units="fmol_per_s"/>
<variable name="A_f_r1" units="J_per_mol"/>
<variable name="v_r1" units="fmol_per_s"/>
<variable name="A_r_r1" units="J_per_mol"/>
<variable name="A_f_r2" units="J_per_mol"/>
<variable name="v_r2" units="fmol_per_s"/>
<variable name="A_r_r2" units="J_per_mol"/>
<variable name="A_f_r3" units="J_per_mol"/>
<variable name="v_r3" units="fmol_per_s"/>
<variable name="A_r_r3" units="J_per_mol"/>
<variable name="A_f_r4" units="J_per_mol"/>
<variable name="v_r4" units="fmol_per_s"/>
<variable name="A_r_r4" units="J_per_mol"/>
<variable name="A_f_r5" units="J_per_mol"/>
<variable name="v_r5" units="fmol_per_s"/>
<variable name="A_r_r5" units="J_per_mol"/>
<variable name="A_f_r6" units="J_per_mol"/>
<variable name="v_r6" units="fmol_per_s"/>
<variable name="A_r_r6" units="J_per_mol"/>
<variable name="A_f_r7" units="J_per_mol"/>
<variable name="v_r7" units="fmol_per_s"/>
<variable name="A_r_r7" units="J_per_mol"/>
<variable name="q_1" units="fmol" initial_value="q_init_1"/>
<variable name="q_2" units="fmol" initial_value="q_init_2"/>
<variable name="q_3" units="fmol" initial_value="q_init_3"/>
<variable name="q_4" units="fmol" initial_value="q_init_4"/>
<variable name="q_5" units="fmol" initial_value="q_init_5"/>
<variable name="q_6" units="fmol" initial_value="q_init_6"/>
<variable name="Ii" units="fA" interface="public"/>
<variable name="I_ss" units="fA" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
<apply>
<eq/>
<ci>I_ss</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<apply>
<minus/>
<ci>v_r6</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ii</ci>
<apply>
<plus/>
<ci>I_zf1</ci>
<ci>I_zr1</ci>
<ci>I_zf6</ci>
<ci>I_zr6</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_Nai</ci>
</apply>
</apply>
</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_Nao</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Glci</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Glci</ci>
<ci>q_Glci</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Glco</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Glco</ci>
<ci>q_Glco</ci>
</apply>
</apply>
</apply>
</apply>
<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>
<ci>v_1</ci>
</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>
<ci>v_2</ci>
</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>
<ci>v_3</ci>
</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>
<ci>v_4</ci>
</apply>
<apply>
<eq/>
<ci>mu_5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_5</ci>
<ci>q_5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_5</ci>
</apply>
<ci>v_5</ci>
</apply>
<apply>
<eq/>
<ci>mu_6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_6</ci>
<ci>q_6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_6</ci>
</apply>
<ci>v_6</ci>
</apply>
<apply>
<eq/>
<ci>V_Vm</ci>
<ci>V0_Vm</ci>
</apply>
<apply>
<eq/>
<ci>mu_zf1</ci>
<apply>
<times/>
<ci>z_zf1</ci>
<ci>F</ci>
<ci>V_zf1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_zf1</ci>
<apply>
<times/>
<ci>z_zf1</ci>
<ci>F</ci>
<ci>v_zf1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_zr1</ci>
<apply>
<times/>
<ci>z_zr1</ci>
<ci>F</ci>
<ci>V_zr1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_zr1</ci>
<apply>
<times/>
<ci>z_zr1</ci>
<ci>F</ci>
<ci>v_zr1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_zf6</ci>
<apply>
<times/>
<ci>z_zf6</ci>
<ci>F</ci>
<ci>V_zf6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_zf6</ci>
<apply>
<times/>
<ci>z_zf6</ci>
<ci>F</ci>
<ci>v_zf6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_zr6</ci>
<apply>
<times/>
<ci>z_zr6</ci>
<ci>F</ci>
<ci>V_zr6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_zr6</ci>
<apply>
<times/>
<ci>z_zr6</ci>
<ci>F</ci>
<ci>v_zr6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r1</ci>
<apply>
<times/>
<ci>kappa_r1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r2</ci>
<apply>
<times/>
<ci>kappa_r2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r3</ci>
<apply>
<times/>
<ci>kappa_r3</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r4</ci>
<apply>
<times/>
<ci>kappa_r4</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r5</ci>
<apply>
<times/>
<ci>kappa_r5</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r6</ci>
<apply>
<times/>
<ci>kappa_r6</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r7</ci>
<apply>
<times/>
<ci>kappa_r7</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_1</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r1</ci>
</apply>
<ci>v_r6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_2</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_r1</ci>
<ci>v_r2</ci>
</apply>
<ci>v_r7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_3</ci>
<apply>
<minus/>
<ci>v_r2</ci>
<ci>v_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_4</ci>
<apply>
<minus/>
<ci>v_r3</ci>
<ci>v_r4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_5</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r4</ci>
<ci>v_r5</ci>
</apply>
<ci>v_r7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_6</ci>
<apply>
<minus/>
<ci>v_r5</ci>
<ci>v_r6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_zf1</ci>
<ci>v_r1</ci>
</apply>
<apply>
<eq/>
<ci>V_zf1</ci>
<ci>V_Vm</ci>
</apply>
<apply>
<eq/>
<ci>v_zr1</ci>
<ci>v_r1</ci>
</apply>
<apply>
<eq/>
<ci>V_zr1</ci>
<ci>V_Vm</ci>
</apply>
<apply>
<eq/>
<ci>v_zf6</ci>
<ci>v_r6</ci>
</apply>
<apply>
<eq/>
<ci>V_zf6</ci>
<ci>V_Vm</ci>
</apply>
<apply>
<eq/>
<ci>v_zr6</ci>
<ci>v_r6</ci>
</apply>
<apply>
<eq/>
<ci>V_zr6</ci>
<ci>V_Vm</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r1</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Nao</ci>
</apply>
<ci>mu_1</ci>
</apply>
<ci>mu_zf1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_r_r1</ci>
<apply>
<plus/>
<ci>mu_2</ci>
<ci>mu_zr1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_f_r2</ci>
<apply>
<plus/>
<ci>mu_Glco</ci>
<ci>mu_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_r_r2</ci>
<ci>mu_3</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r3</ci>
<ci>mu_3</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r3</ci>
<ci>mu_4</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r4</ci>
<ci>mu_4</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r4</ci>
<apply>
<plus/>
<ci>mu_Glci</ci>
<ci>mu_5</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_f_r5</ci>
<ci>mu_5</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r5</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mu_Nai</ci>
</apply>
<ci>mu_6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_f_r6</ci>
<apply>
<minus/>
<ci>mu_6</ci>
<ci>mu_zf6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_r_r6</ci>
<apply>
<plus/>
<ci>mu_1</ci>
<ci>mu_zr6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_f_r7</ci>
<ci>mu_2</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r7</ci>
<ci>mu_5</ci>
</apply>
</math>
</component>
<connection component_1="params_BG" component_2="SGLT1_BG">
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="K_Nai" variable_2="K_Nai"/>
<map_variables variable_1="q_Nai" variable_2="q_Nai"/>
<map_variables variable_1="K_Nao" variable_2="K_Nao"/>
<map_variables variable_1="q_Nao" variable_2="q_Nao"/>
<map_variables variable_1="K_Glci" variable_2="K_Glci"/>
<map_variables variable_1="q_Glci" variable_2="q_Glci"/>
<map_variables variable_1="K_Glco" variable_2="K_Glco"/>
<map_variables variable_1="q_Glco" variable_2="q_Glco"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
<map_variables variable_1="q_init_1" variable_2="q_init_1"/>
<map_variables variable_1="K_2" variable_2="K_2"/>
<map_variables variable_1="q_init_2" variable_2="q_init_2"/>
<map_variables variable_1="K_3" variable_2="K_3"/>
<map_variables variable_1="q_init_3" variable_2="q_init_3"/>
<map_variables variable_1="K_4" variable_2="K_4"/>
<map_variables variable_1="q_init_4" variable_2="q_init_4"/>
<map_variables variable_1="K_5" variable_2="K_5"/>
<map_variables variable_1="q_init_5" variable_2="q_init_5"/>
<map_variables variable_1="K_6" variable_2="K_6"/>
<map_variables variable_1="q_init_6" variable_2="q_init_6"/>
<map_variables variable_1="V0_Vm" variable_2="V0_Vm"/>
<map_variables variable_1="z_zf1" variable_2="z_zf1"/>
<map_variables variable_1="z_zr1" variable_2="z_zr1"/>
<map_variables variable_1="z_zf6" variable_2="z_zf6"/>
<map_variables variable_1="z_zr6" variable_2="z_zr6"/>
<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="kappa_r5" variable_2="kappa_r5"/>
<map_variables variable_1="kappa_r6" variable_2="kappa_r6"/>
<map_variables variable_1="kappa_r7" variable_2="kappa_r7"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
</model>
