- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-04-23 14:50:37+12:00
- Desc:
- Add steady state model
- Permanent Source URI:
- http://models.cellml.org/workspace/b65/rawfile/59c302f2bbc5e1e47823508ccbb47a9ec2d6071f/Electrogenic cotransporter/CellMLV2/params_BG.cellml
<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="params_BG">
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="./units.cellml">
<units units_ref="per_fmol" name="per_fmol"/>
<units units_ref="C_per_mol" name="C_per_mol"/>
<units units_ref="fmol_per_s" name="fmol_per_s"/>
<units units_ref="fmol" name="fmol"/>
<units units_ref="J_per_K_mol" name="J_per_K_mol"/>
<units units_ref="mM" name="mM"/>
<units units_ref="pL" name="pL"/>
<units units_ref="fA" name="fA"/>
<units units_ref="fF" name="fF"/>
</import>
<component name="params_BG">
<variable name="R" units="J_per_K_mol" initial_value="8.31" interface="public"/>
<variable name="T" units="kelvin" initial_value="293" interface="public"/>
<variable name="F" units="C_per_mol" initial_value="96485" interface="public"/>
<variable name="K_Nai" units="per_fmol" initial_value="3.216e-08" interface="public"/>
<variable name="q_Nai" units="fmol" interface="public"/>
<variable name="K_Nao" units="per_fmol" initial_value="3.216e-08" interface="public"/>
<variable name="q_Nao" units="fmol" interface="public"/>
<variable name="K_Glci" units="per_fmol" initial_value="4.848e-06" interface="public"/>
<variable name="q_Glci" units="fmol" interface="public"/>
<variable name="K_Glco" units="per_fmol" initial_value="4.848e-06" interface="public"/>
<variable name="q_Glco" units="fmol" interface="public"/>
<variable name="K_1" units="per_fmol" initial_value="2.235" interface="public"/>
<variable name="q_init_1" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="K_2" units="per_fmol" initial_value="10.437" interface="public"/>
<variable name="q_init_2" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="K_3" units="per_fmol" initial_value="8.602" interface="public"/>
<variable name="q_init_3" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="K_4" units="per_fmol" initial_value="8.602" interface="public"/>
<variable name="q_init_4" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="K_5" units="per_fmol" initial_value="28.628" interface="public"/>
<variable name="q_init_5" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="K_6" units="per_fmol" initial_value="0.192" interface="public"/>
<variable name="q_init_6" units="fmol" initial_value="16.605778811026234" interface="public"/>
<variable name="V0_Vm" units="volt" initial_value="-0.065" interface="public"/>
<variable name="z_zf1" units="dimensionless" initial_value="0.3" interface="public"/>
<variable name="z_zr1" units="dimensionless" initial_value="0.3" interface="public"/>
<variable name="z_zf6" units="dimensionless" initial_value="0.7" interface="public"/>
<variable name="z_zr6" units="dimensionless" initial_value="0.7" interface="public"/>
<variable name="kappa_r1" units="fmol_per_s" initial_value="47.905" interface="public"/>
<variable name="kappa_r2" units="fmol_per_s" initial_value="2.325" interface="public"/>
<variable name="kappa_r3" units="fmol_per_s" initial_value="5.812" interface="public"/>
<variable name="kappa_r4" units="fmol_per_s" initial_value="92.998" interface="public"/>
<variable name="kappa_r5" units="fmol_per_s" initial_value="0.349" interface="public"/>
<variable name="kappa_r6" units="fmol_per_s" initial_value="15.661" interface="public"/>
<variable name="kappa_r7" units="fmol_per_s" initial_value="0.029" interface="public"/>
<variable name="Nai" units="mM" initial_value="20"/>
<variable name="Nao" units="mM" initial_value="100"/>
<variable name="Glci" units="mM" initial_value="10e-3"/>
<variable name="Glco" units="mM" initial_value="1e-12"/>
<variable name="V_i" units="pL" initial_value="8.5e5"/>
<variable name="V_o" units="pL" initial_value="8.5e5"/>
<variable name="t" units="second" interface="public"/>
<variable name="Er" units="volt" initial_value="-0.065"/>
<variable name="Rm" units="ohm" initial_value="1.2e6"/>
<variable name="Rs" units="ohm" initial_value="5e3"/>
<variable name="Cm" units="fF" initial_value="350e6"/>
<variable name="Is" units="fA" interface="public"/>
<variable name="Im" units="fA" interface="public"/>
<variable name="V_E" units="volt" interface="public"/>
<variable name="test_volt" units="volt" initial_value="0.05"/>
<variable name="Ii" units="fA" interface="public"/>
<variable name="Ib" 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>Im</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>Is</ci>
<ci>Ib</ci>
</apply>
<ci>Ii</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Is</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>V0_Vm</ci>
</apply>
<ci>V_E</ci>
</apply>
<ci>Rs</ci>
</apply>
<cn type="e-notation" cellml:units="fA">1<sep/>15</cn>
</apply>
<cn cellml:units="ampere">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Ib</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V0_Vm</ci>
<ci>Er</ci>
</apply>
<ci>Rm</ci>
</apply>
<cn type="e-notation" cellml:units="fA">1<sep/>15</cn>
</apply>
<cn cellml:units="ampere">1</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V0_Vm</ci>
</apply>
<apply>
<divide/>
<ci>Im</ci>
<ci>Cm</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Nai</ci>
<apply>
<times/>
<ci>Nai</ci>
<ci>V_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Nao</ci>
<apply>
<times/>
<ci>Nao</ci>
<ci>V_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Glci</ci>
<apply>
<times/>
<ci>Glci</ci>
<ci>V_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Glco</ci>
<apply>
<times/>
<ci>Glco</ci>
<ci>V_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_E</ci>
<piecewise>
<piece>
<apply>
<minus/>
<cn cellml:units="volt">0.05</cn>
</apply>
<apply>
<lt/>
<ci>t</ci>
<cn type="e-notation" cellml:units="second">1204.75<sep/>-3</cn>
</apply>
</piece>
<piece>
<ci>test_volt</ci>
<apply>
<lt/>
<ci>t</ci>
<cn type="e-notation" cellml:units="second">1284.75<sep/>-3</cn>
</apply>
</piece>
<otherwise>
<apply>
<minus/>
<cn cellml:units="volt">0.05</cn>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
</model>
