Location: Na+/Glucose Transporter @ 89cd53399e44 / AE1.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-08-02 05:37:03+12:00
- Desc:
- fixing diffusion
- Permanent Source URI:
- http://models.cellml.org/workspace/436/rawfile/89cd53399e44e02d8db73780f55d1b1c8b85fe85/AE1.cellml
<?xml version='1.0'?>
<model name="AE1" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="AE1">
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="v_cell" public_interface="in" units="m3"/>
<variable name="q_HCO3_c" public_interface="in" units="M"/>
<variable name="q_HCO3_a" public_interface="in" units="M"/>
<variable name="q_Cl_c" public_interface="in" units="M"/>
<variable name="q_Cl_a" public_interface="in" units="M"/>
<variable name="J_AE1_HCO3" public_interface="out" units="umol_per_s"/>
<variable name="J_AE1_Cl" public_interface="out" units="umol_per_s"/>
<variable name="I_AE1_HCO3" public_interface="out" units="uA"/>
<variable name="I_AE1_Cl" public_interface="out" units="uA"/>
<variable name="J_q_HCO3_cnflux" public_interface="out" units="umol_per_s"/>
<variable name="J_q_Cl_cnflux" public_interface="out" units="umol_per_s"/>
<variable initial_value="0.198" name="K_q_HCO3_a" units="M"/>
<variable initial_value="0.198" name="K_q_HCO3_c" units="M"/>
<variable initial_value="0.05" name="K_q_Cl_b" units="M"/>
<variable initial_value="0.05" name="K_q_Cl_c" units="M"/>
<variable initial_value="1247" name="P_q_HCO3_a" units="per_s"/>
<variable initial_value="135" name="P_q_HCO3_c" units="per_s"/>
<variable initial_value="562" name="P_q_Cl_b" units="per_s"/>
<variable initial_value="61" name="P_q_Cl_c" units="per_s"/>
<variable name="beta_ext" units="dimensionless"/>
<variable name="beta_int" units="dimensionless"/>
<variable name="gamma_ext" units="dimensionless"/>
<variable name="gamma_int" units="dimensionless"/>
<variable name="sigma" units="per_s"/>
<variable initial_value="0.001" name="x_Tmax" units="M"/>
<variable initial_value="0.172" name="K_I" units="M"/>
<variable name="x_T" units="M"/>
<variable name="x_ext" units="M"/>
<variable name="x_int" units="M"/>
<variable name="Jo_bm" units="umol_per_s"/>
<variable name="Ji_bm" units="umol_per_s"/>
<variable name="Js_bm" units="umol_per_s"/>
<variable name="Jo_cm" units="umol_per_s"/>
<variable name="Ji_cm" units="umol_per_s"/>
<variable name="Js_cm" units="umol_per_s"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>x_T</ci>
<apply>
<divide/>
<ci>x_Tmax</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>q_HCO3_c</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_ext</ci>
<apply>
<divide/>
<ci>q_HCO3_a</ci>
<ci>K_q_HCO3_a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_int</ci>
<apply>
<divide/>
<ci>q_HCO3_c</ci>
<ci>K_q_HCO3_c</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_ext</ci>
<apply>
<divide/>
<ci>q_Cl_a</ci>
<ci>K_q_Cl_b</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_int</ci>
<apply>
<divide/>
<ci>q_Cl_c</ci>
<ci>K_q_Cl_c</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>beta_ext</ci>
<ci>gamma_ext</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>beta_int</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_c</ci>
<ci>gamma_int</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>beta_int</ci>
<ci>gamma_int</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_a</ci>
<ci>beta_ext</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_b</ci>
<ci>gamma_ext</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_ext</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>x_T</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>beta_int</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_c</ci>
<ci>gamma_int</ci>
</apply>
</apply>
</apply>
<ci>sigma</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_int</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>x_T</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_a</ci>
<ci>beta_ext</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_b</ci>
<ci>gamma_ext</ci>
</apply>
</apply>
</apply>
<ci>sigma</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_q_HCO3_cnflux</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>x_T</ci>
<ci>sigma</ci>
</apply>
<ci>P_q_HCO3_a</ci>
<ci>beta_ext</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>beta_int</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_c</ci>
<ci>gamma_int</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_q_Cl_cnflux</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>x_T</ci>
<ci>sigma</ci>
</apply>
<ci>P_q_Cl_b</ci>
<ci>gamma_ext</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>beta_int</ci>
</apply>
<apply>
<times/>
<ci>P_q_Cl_c</ci>
<ci>gamma_int</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Jo_bm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_a</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_c</ci>
</apply>
<apply>
<divide/>
<ci>K_q_HCO3_c</ci>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>q_HCO3_c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ji_bm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_a</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_c</ci>
</apply>
<apply>
<divide/>
<ci>K_q_HCO3_a</ci>
<apply>
<times/>
<ci>P_q_HCO3_a</ci>
<ci>q_HCO3_a</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Js_bm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_a</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_HCO3_c</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Jo_cm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_b</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_c</ci>
</apply>
<apply>
<divide/>
<ci>K_q_Cl_c</ci>
<apply>
<times/>
<ci>P_q_Cl_c</ci>
<ci>q_Cl_c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ji_cm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_b</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_c</ci>
</apply>
<apply>
<divide/>
<ci>K_q_Cl_b</ci>
<apply>
<times/>
<ci>P_q_Cl_b</ci>
<ci>q_Cl_a</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Js_cm</ci>
<apply>
<power/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_T</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_b</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_q_Cl_c</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_AE1_HCO3</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>+9</cn>
<ci>v_cell</ci>
<ci>x_Tmax</ci>
</apply>
<ci>sigma</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>P_q_HCO3_c</ci>
<ci>beta_int</ci>
<ci>P_q_Cl_b</ci>
<ci>gamma_ext</ci>
</apply>
<apply>
<times/>
<ci>P_q_HCO3_a</ci>
<ci>beta_ext</ci>
<ci>P_q_Cl_c</ci>
<ci>gamma_int</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_AE1_Cl</ci>
<ci>J_AE1_HCO3</ci>
</apply>
<apply>
<eq/>
<ci>I_AE1_HCO3</ci>
<apply>
<times/>
<ci>J_AE1_HCO3</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_AE1_Cl</ci>
<apply>
<times/>
<ci>J_AE1_Cl</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>