Location: Glucose Transport Model (Thorsen) @ 9228fb82a5fb / Composite Model(Thorsen).cellml
- Author:
- nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2020-08-24 18:20:57+12:00
- Desc:
- SedML files is fixed
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/5b8/rawfile/9228fb82a5fbade44d3e54d903710377759ffa77/Composite Model(Thorsen).cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Nima_2016" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<!--capacitance is changed, initial values changed to S.S . no stimulus for glucose_m-->
<units name="per_second">
<unit exponent="-1" units="second"/>
</units>
<!-- def unit per_second5 as
unit second {expo: -5};
enddef;-->
<units name="volt_per_second">
<unit units="volt"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_volt_per_second">
<unit exponent="-1" units="volt"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_volt4_per_second">
<unit exponent="-4" units="volt"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_volt3_per_second">
<unit exponent="-3" units="volt"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_volt2_per_second">
<unit exponent="-2" units="volt"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_mol">
<unit exponent="-1" units="mole"/>
</units>
<units name="umol">
<unit prefix="micro" units="mole"/>
</units>
<units name="per_umol">
<unit exponent="-1" units="umol"/>
</units>
<units name="M">
<unit units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="m2">
<unit exponent="2" units="metre"/>
</units>
<units name="cm">
<unit prefix="centi" units="metre"/>
</units>
<units name="um2">
<unit exponent="2" prefix="micro" units="metre"/>
</units>
<units name="um">
<unit prefix="micro" units="meter"/>
</units>
<units name="um3">
<unit exponent="3" prefix="micro" units="metre"/>
</units>
<units name="m3">
<unit exponent="3" units="metre"/>
</units>
<!-- def unit litre as
unit m3 {pref: milli};
enddef;-->
<units name="mol_per_um2">
<unit units="mole"/>
<unit exponent="-1" units="um2"/>
</units>
<units name="mM">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="J_per_K_per_mol">
<unit exponent="-1" units="mole"/>
<unit units="joule"/>
<unit exponent="-1" units="kelvin"/>
</units>
<units name="pA_per_cm2">
<unit prefix="pico" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="uA">
<unit prefix="micro" units="ampere"/>
</units>
<units name="uA_per_um2">
<unit units="uA"/>
<unit exponent="-1" units="um2"/>
</units>
<units name="uA_per_A">
<unit units="uA"/>
<unit exponent="-1" units="ampere"/>
</units>
<units name="umol_per_mol">
<unit units="umol"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="C_per_mol">
<unit exponent="-1" units="mole"/>
<unit units="coulomb"/>
</units>
<units name="per_M_per_second">
<unit exponent="-1" units="M"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_M2_per_second">
<unit exponent="-2" units="M"/>
<unit exponent="-1" units="second"/>
</units>
<units name="uM">
<unit prefix="micro" units="M"/>
</units>
<units name="M2">
<unit exponent="2" units="M"/>
</units>
<units name="M3">
<unit exponent="3" units="M"/>
</units>
<units name="M3_per_second">
<unit exponent="3" units="M"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_M3_per_second5">
<unit exponent="-3" units="M"/>
<unit exponent="-5" units="second"/>
</units>
<units name="M_per_second">
<unit units="M"/>
<unit exponent="-1" units="second"/>
</units>
<units name="cm2">
<unit exponent="2" prefix="centi" units="metre"/>
</units>
<units name="cm2_per_s">
<unit units="cm2"/>
<unit exponent="-1" units="second"/>
</units>
<!-- def unit uM_per_cm2_per_s as
unit uM;
unit cm2 {expo: -1};
unit second {expo: -1};
enddef;-->
<units name="Farad">
<unit exponent="-1" units="volt"/>
<unit units="coulomb"/>
</units>
<units name="uF">
<unit prefix="micro" units="Farad"/>
</units>
<units name="uF_per_cm2">
<unit prefix="micro" units="Farad"/>
<unit exponent="-1" units="cm2"/>
</units>
<units name="umol_per_cm2_per_s">
<unit prefix="micro" units="mole"/>
<unit exponent="-1" units="cm2"/>
<unit exponent="-1" units="second"/>
</units>
<units name="umol_per_s">
<unit prefix="micro" units="mole"/>
<unit exponent="-1" units="second"/>
</units>
<units name="uA_per_cm2">
<unit units="uA"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="m_per_s">
<unit units="meter"/>
<unit exponent="-1" units="second"/>
</units>
<units name="m3_mole_per_litre_per_umol">
<unit units="m3"/>
<unit units="mole"/>
<unit exponent="-1" units="litre"/>
<unit exponent="-1" units="umol"/>
</units>
<units name="litre_umol_per_mol_per_m3">
<unit units="litre"/>
<unit units="umol"/>
<unit exponent="-1" units="mole"/>
<unit exponent="-1" units="m3"/>
</units>
<component name="parameters">
<variable initial_value="-1" name="z_Cl" public_interface="out" units="dimensionless"/>
<variable initial_value="1" name="z_Na" public_interface="out" units="dimensionless"/>
<variable initial_value="1" name="z_k" public_interface="out" units="dimensionless"/>
<variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
<variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="1e-5" name="capacitance" public_interface="out" units="uF"/>
<variable initial_value="8.4e-10" name="A_Apical" public_interface="out" units="m2"/>
<variable initial_value="5e-10" name="A_Basol" public_interface="out" units="m2"/>
<variable initial_value="5e-16" name="v_cell" public_interface="out" units="m3"/>
<variable initial_value="1e-9" name="P_Na" public_interface="out" units="m_per_s"/>
<variable initial_value="8e-10" name="P_k" public_interface="out" units="m_per_s"/>
<variable initial_value="8e-10" name="P_Cl" public_interface="out" units="m_per_s"/>
<variable initial_value="20.5e-6" name="P_P_Na" public_interface="out" units="m_per_s"/>
<variable initial_value="17.5e-6" name="P_P_k" public_interface="out" units="m_per_s"/>
<variable initial_value="8.8e-6" name="P_P_Cl" public_interface="out" units="m_per_s"/>
<variable initial_value="1e-9" name="P_Bl_Na" public_interface="out" units="m_per_s"/>
<variable initial_value="4.06e-8" name="P_Bl_k" public_interface="out" units="m_per_s"/>
<variable initial_value="7.22e-9" name="P_Bl_Cl" public_interface="out" units="m_per_s"/>
<variable name="time" public_interface="out" units="second"/>
<variable initial_value="140000" name="k0_12" public_interface="out" units="per_M2_per_second"/>
<variable initial_value="300" name="k0_21" public_interface="out" units="per_second"/>
<variable initial_value="45e3" name="k0_23" public_interface="out" units="per_M_per_second"/>
<variable initial_value="20" name="k0_32" public_interface="out" units="per_second"/>
<variable initial_value="0" name="k0_25" public_interface="out" units="per_second"/>
<variable initial_value="0" name="k0_52" public_interface="out" units="per_second"/>
<variable initial_value="50" name="k0_34" public_interface="out" units="per_second"/>
<variable initial_value="50" name="k0_43" public_interface="out" units="per_second"/>
<variable initial_value="800" name="k0_45" public_interface="out" units="per_second"/>
<variable initial_value="77778" name="k0_54" public_interface="out" units="per_M_per_second"/>
<variable initial_value="5" name="k0_56" public_interface="out" units="per_second"/>
<variable initial_value="2250" name="k0_65" public_interface="out" units="per_M2_per_second"/>
<variable initial_value="25" name="k0_61" public_interface="out" units="per_second"/>
<variable initial_value="600" name="k0_16" public_interface="out" units="per_second"/>
<variable initial_value="0.7" name="delta" public_interface="out" units="dimensionless"/>
<variable initial_value="0.3" name="alpha_p" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="alpha_pp" public_interface="out" units="dimensionless"/>
<!--ar N_C: dimensionless {init: 6e10};
var N_Avo: per_mol {init: 6.022e23};-->
<!--var C_T: umol {pub: out};-->
<variable initial_value="2" name="n" public_interface="out" units="dimensionless"/>
<variable initial_value="-2" name="z_c" public_interface="out" units="dimensionless"/>
<variable name="v_mc" public_interface="in" units="volt"/>
<variable name="mu" public_interface="out" units="dimensionless"/>
<!--alpha_p = 1{dimensionless}-delta-alpha_pp;-->
<!--C_T = 1e6{umol_per_mol}*N_C/N_Avo;-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Apical_concentrations">
<variable initial_value="140e-3" name="Na_m" public_interface="out" units="M"/>
<variable initial_value="5.4e-3" name="K_m" public_interface="out" units="M"/>
<variable name="glucose_m" public_interface="out" units="M"/>
<variable initial_value="103e-3" name="Cl_m" public_interface="out" units="M"/>
<variable initial_value="0.2" name="k" public_interface="out" units="per_second"/>
<variable initial_value="20e-3" name="glucose_0" public_interface="out" units="M"/>
<variable initial_value="0.1e-3" name="glucose_f" public_interface="out" units="M"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>glucose_m</ci>
<piecewise>
<piece>
<cn cellml:units="M" type="e-notation">0.1<sep/>-3</cn>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">0</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">60</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>glucose_0</ci>
<ci>glucose_f</ci>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>k</ci>
</apply>
<apply>
<minus/>
<ci>time</ci>
<cn cellml:units="second">60</cn>
</apply>
</apply>
</apply>
</apply>
<ci>glucose_f</ci>
</apply>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="second">60</cn>
</apply>
</piece>
</piecewise>
</apply>
</math>
</component>
<component name="Apical_voltage">
<variable initial_value="-49e-3" name="v_mc" public_interface="out" units="volt"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="capacitance" public_interface="in" units="uF"/>
<variable name="I_D_Na" public_interface="in" units="uA"/>
<variable name="I_D_K" public_interface="in" units="uA"/>
<variable name="I_D_Cl" public_interface="in" units="uA"/>
<variable name="I_D_P_Na" public_interface="in" units="uA"/>
<variable name="I_D_P_K" public_interface="in" units="uA"/>
<variable name="I_D_P_Cl" public_interface="in" units="uA"/>
<!--var I_NaCl: uA {pub: in};-->
<variable name="I_Na_SGLT" public_interface="in" units="uA"/>
<!--var I_Gl_SGLT: uA {pub: in};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>v_mc</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>I_D_Na</ci>
<ci>I_D_K</ci>
<ci>I_D_Cl</ci>
<ci>I_Na_SGLT</ci>
<ci>I_D_P_Na</ci>
<ci>I_D_P_K</ci>
<ci>I_D_P_Cl</ci>
</apply>
<ci>capacitance</ci>
</apply>
</apply>
</math>
</component>
<component name="Cell_concentration">
<variable initial_value="49e-3" name="Na_i" public_interface="out" units="M"/>
<variable initial_value="12e-3" name="glucose_i" public_interface="out" units="M"/>
<variable initial_value="129e-3" name="K_i" public_interface="out" units="M"/>
<variable initial_value="57e-3" name="Cl_i" public_interface="out" units="M"/>
<variable name="v_cell" public_interface="in" units="m3"/>
<variable name="J_Na_SGLT" public_interface="in" units="umol_per_s"/>
<variable name="J_Gl_SGLT" public_interface="in" units="umol_per_s"/>
<variable name="J_Na_NaK" public_interface="in" units="umol_per_s"/>
<variable name="J_K_NaK" public_interface="in" units="umol_per_s"/>
<variable name="J_NaCl" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_GLUT" public_interface="in" units="umol_per_s"/>
<variable name="J_D_K" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_K" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Cl" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_Cl" public_interface="in" units="umol_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable initial_value="1" name="theta_1" units="dimensionless"/>
<variable initial_value="1" name="theta_2" units="dimensionless"/>
<variable initial_value="1" name="theta_3" units="dimensionless"/>
<variable initial_value="1" name="theta_4" units="dimensionless"/>
<variable initial_value="1" name="theta_5" units="dimensionless"/>
<variable initial_value="1" name="theta_6" units="dimensionless"/>
<variable initial_value="1" name="theta_7" units="dimensionless"/>
<variable initial_value="1" name="theta_8" units="dimensionless"/>
<variable initial_value="1" name="theta_9" units="dimensionless"/>
<variable initial_value="1" name="theta_10" units="dimensionless"/>
<variable initial_value="1" name="theta_11" units="dimensionless"/>
<variable initial_value="1" name="theta_12" units="dimensionless"/>
<variable initial_value="1" name="theta_13" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mole_per_litre_per_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_1</ci>
<ci>J_Na_SGLT</ci>
</apply>
<apply>
<times/>
<ci>theta_2</ci>
<ci>J_Na_NaK</ci>
</apply>
<apply>
<times/>
<ci>theta_3</ci>
<ci>J_NaCl</ci>
</apply>
<apply>
<times/>
<ci>theta_4</ci>
<ci>J_D_Na</ci>
</apply>
<apply>
<times/>
<ci>theta_5</ci>
<ci>J_D_Bl_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>glucose_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mole_per_litre_per_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>theta_6</ci>
<ci>J_Gl_SGLT</ci>
</apply>
<apply>
<times/>
<ci>theta_7</ci>
<ci>J_GLUT</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mole_per_litre_per_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_8</ci>
<ci>J_K_NaK</ci>
</apply>
<apply>
<times/>
<ci>theta_9</ci>
<ci>J_D_K</ci>
</apply>
<apply>
<times/>
<ci>theta_10</ci>
<ci>J_D_Bl_K</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cl_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mole_per_litre_per_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_11</ci>
<ci>J_NaCl</ci>
</apply>
<apply>
<times/>
<ci>theta_12</ci>
<ci>J_D_Cl</ci>
</apply>
<apply>
<times/>
<ci>theta_13</ci>
<ci>J_D_Bl_Cl</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Basolateral_concentrations">
<variable initial_value="140e-3" name="Na_s" public_interface="out" units="M"/>
<variable initial_value="10e-3" name="glucose_s" public_interface="out" units="M"/>
<variable initial_value="103e-3" name="Cl_s" public_interface="out" units="M"/>
<variable initial_value="5.4e-3" name="K_s" public_interface="out" units="M"/>
<!--var time: second {pub: out};-->
</component>
<component name="Basol_voltage">
<variable initial_value="-52e-3" name="v_sc" public_interface="out" units="volt"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="capacitance" public_interface="in" units="uF"/>
<variable name="I_D_Bl_Na" public_interface="in" units="uA"/>
<variable name="I_D_Bl_K" public_interface="in" units="uA"/>
<variable name="I_D_Bl_Cl" public_interface="in" units="uA"/>
<variable name="I_Na_NaK" public_interface="in" units="uA"/>
<variable name="I_K_NaK" public_interface="in" units="uA"/>
<variable name="I_D_P_Na" public_interface="in" units="uA"/>
<variable name="I_D_P_K" public_interface="in" units="uA"/>
<variable name="I_D_P_Cl" public_interface="in" units="uA"/>
<!--var I_GLUT: uA {pub: in};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>v_sc</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_D_Bl_Na</ci>
<ci>I_D_Bl_K</ci>
<ci>I_D_Bl_Cl</ci>
<ci>I_Na_NaK</ci>
<ci>I_K_NaK</ci>
</apply>
<ci>I_D_P_Na</ci>
</apply>
<ci>I_D_P_K</ci>
</apply>
<ci>I_D_P_Cl</ci>
</apply>
<ci>capacitance</ci>
</apply>
</apply>
</math>
</component>
<component name="rate_constants">
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="glucose_i" public_interface="in" units="M"/>
<variable name="glucose_m" public_interface="in" units="M"/>
<variable name="k_12" public_interface="out" units="per_second"/>
<variable name="ks_12" public_interface="out" units="per_M2_per_second"/>
<variable name="k_21" public_interface="out" units="per_second"/>
<!--var k_23: per_second {pub: out};-->
<variable name="k_32" public_interface="out" units="per_second"/>
<variable name="k_25" public_interface="out" units="per_second"/>
<variable name="k_52" public_interface="out" units="per_second"/>
<variable name="k_34" public_interface="out" units="per_second"/>
<variable name="k_43" public_interface="out" units="per_second"/>
<variable name="k_45" public_interface="out" units="per_second"/>
<variable name="k_54" public_interface="out" units="per_second"/>
<variable name="k_56" public_interface="out" units="per_second"/>
<variable name="k_65" public_interface="out" units="per_second"/>
<variable name="k_61" public_interface="out" units="per_second"/>
<variable name="k_16" public_interface="out" units="per_second"/>
<variable name="k0_12" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_21" public_interface="in" units="per_second"/>
<!--var k0_23: per_M_per_second {pub: in};-->
<variable name="k0_32" public_interface="in" units="per_second"/>
<variable name="k0_25" public_interface="in" units="per_second"/>
<variable name="k0_52" public_interface="in" units="per_second"/>
<variable name="k0_34" public_interface="in" units="per_second"/>
<variable name="k0_43" public_interface="in" units="per_second"/>
<variable name="k0_45" public_interface="in" units="per_second"/>
<variable name="k0_54" public_interface="in" units="per_M_per_second"/>
<!--var k0_25: per_second {pub: in};
var k0_52: per_second {pub: in};-->
<variable name="k0_56" public_interface="in" units="per_second"/>
<variable name="k0_65" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_61" public_interface="in" units="per_second"/>
<variable name="k0_16" public_interface="in" units="per_second"/>
<!--var k0_54_temp: per_M_per_second {pub: out};-->
<!--var k_52_temp: per_second {pub: out};-->
<variable name="delta" public_interface="in" units="dimensionless"/>
<variable name="n" public_interface="in" units="dimensionless"/>
<variable name="z_c" public_interface="in" units="dimensionless"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="alpha_p" public_interface="in" units="dimensionless"/>
<!--var alpha_pp: dimensionless {pub: in};-->
<!--var C_T: umol {pub: in};-->
<variable name="mu" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ks_12</ci>
<apply>
<times/>
<ci>k0_12</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>n</ci>
</apply>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<!-- k_12 = ks_12*pow(Na_m, n);-->
<apply>
<eq/>
<ci>k_12</ci>
<apply>
<times/>
<ci>k0_12</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>alpha_p</ci>
</apply>
<ci>mu</ci>
</apply>
</apply>
<apply>
<power/>
<ci>Na_m</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_21</ci>
<apply>
<times/>
<ci>k0_21</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<!--k_23 = k0_23*glucose_m;-->
<apply>
<eq/>
<ci>k_32</ci>
<ci>k0_32</ci>
</apply>
<apply>
<eq/>
<ci>k_34</ci>
<ci>k0_34</ci>
</apply>
<apply>
<eq/>
<ci>k_43</ci>
<ci>k0_43</ci>
</apply>
<apply>
<eq/>
<ci>k_45</ci>
<ci>k0_45</ci>
</apply>
<apply>
<eq/>
<ci>k_54</ci>
<apply>
<times/>
<ci>k0_54</ci>
<ci>glucose_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_25</ci>
<ci>k0_25</ci>
</apply>
<!--k_52_temp = k0_52*exp((z_c+n)*delta*mu/2{dimensionless});-->
<apply>
<eq/>
<ci>k_56</ci>
<ci>k0_56</ci>
</apply>
<apply>
<eq/>
<ci>k_65</ci>
<apply>
<times/>
<ci>k0_65</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_61</ci>
<apply>
<times/>
<ci>k0_61</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_c</ci>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_16</ci>
<apply>
<times/>
<ci>k0_16</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>z_c</ci>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_52</ci>
<ci>k0_52</ci>
</apply>
</math>
<!--k0_54_temp = k0_23*k_34*k_45/(k_43*k_32);-->
</component>
<component name="phenomonological_constants">
<variable name="epsilon" public_interface="out" units="per_second"/>
<variable name="lambda" public_interface="out" units="per_M3_per_second5"/>
<variable name="chi" public_interface="out" units="M"/>
<variable name="alpha" public_interface="out" units="M3"/>
<variable name="beta" public_interface="out" units="M2"/>
<variable name="gamma" public_interface="out" units="M3_per_second"/>
<variable name="phi" public_interface="out" units="M_per_second"/>
<variable name="k_12" public_interface="in" units="per_second"/>
<variable name="k_21" public_interface="in" units="per_second"/>
<!--var k_23: per_second {pub: in};-->
<variable name="k_32" public_interface="in" units="per_second"/>
<variable name="k_34" public_interface="in" units="per_second"/>
<variable name="k_43" public_interface="in" units="per_second"/>
<variable name="k_45" public_interface="in" units="per_second"/>
<variable name="k_54" public_interface="in" units="per_second"/>
<variable name="k_25" public_interface="in" units="per_second"/>
<variable name="k_52" public_interface="in" units="per_second"/>
<variable name="k_56" public_interface="in" units="per_second"/>
<variable name="k_65" public_interface="in" units="per_second"/>
<variable name="k_61" public_interface="in" units="per_second"/>
<variable name="k_16" public_interface="in" units="per_second"/>
<variable name="ks_12" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_23" public_interface="in" units="per_M_per_second"/>
<!--var C_T: umol {pub: in};-->
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="glucose_m" public_interface="in" units="M"/>
<variable initial_value="180e6" name="n_SGLT" public_interface="out" units="dimensionless"/>
<variable name="J_Na_SGLT" public_interface="out" units="umol_per_s"/>
<variable name="I_Na_SGLT" public_interface="out" units="uA"/>
<variable name="J_Gl_SGLT" public_interface="out" units="umol_per_s"/>
<variable name="J_GL_SGLT1" public_interface="out" units="umol_per_s"/>
<!--var I_Gl_SGLT: uA {pub: out};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda</ci>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>chi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>k0_23</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_65</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>phi</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<ci>k_56</ci>
<ci>k_61</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Na_SGLT</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>n_SGLT</ci>
</apply>
<cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>epsilon</ci>
<apply>
<power/>
<ci>Na_m</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>glucose_m</ci>
</apply>
<apply>
<times/>
<ci>phi</ci>
<apply>
<power/>
<ci>Na_m</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>gamma</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>beta</ci>
<ci>glucose_m</ci>
</apply>
<apply>
<times/>
<ci>chi</ci>
<apply>
<power/>
<ci>Na_m</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_m</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>glucose_m</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Na_SGLT</ci>
<apply>
<times/>
<ci>J_Na_SGLT</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Gl_SGLT</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>J_Na_SGLT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_GL_SGLT1</ci>
<apply>
<times/>
<ci>J_Gl_SGLT</ci>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
</apply>
</apply>
</math>
<!--I_Gl_SGLT = -J_Gl_SGLT*F;-->
</component>
<component name="GLUT2">
<variable initial_value="23e-3" name="K_G_c_half" public_interface="out" units="M"/>
<variable initial_value="48e-3" name="K_G_s_half" public_interface="out" units="M"/>
<variable name="glucose_i" public_interface="in" units="M"/>
<variable name="glucose_s" public_interface="in" units="M"/>
<variable initial_value="1.1e-16" name="V_G_c_max" public_interface="out" units="umol_per_s"/>
<variable initial_value="2.27e-16" name="V_G_s_max" public_interface="out" units="umol_per_s"/>
<variable name="J_GLUT" public_interface="out" units="umol_per_s"/>
<variable name="J_GLUT2" public_interface="out" units="umol_per_s"/>
<!--var I_GLUT: uA {pub: out};-->
<variable initial_value="13.2e6" name="n_GLUT" units="dimensionless"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_GLUT</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>V_G_c_max</ci>
<ci>K_G_s_half</ci>
<ci>glucose_i</ci>
</apply>
<apply>
<times/>
<ci>V_G_s_max</ci>
<ci>K_G_c_half</ci>
<ci>glucose_s</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>K_G_c_half</ci>
<ci>glucose_i</ci>
</apply>
<apply>
<plus/>
<ci>K_G_s_half</ci>
<ci>glucose_i</ci>
</apply>
</apply>
</apply>
<ci>n_GLUT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_GLUT2</ci>
<apply>
<times/>
<ci>J_GLUT</ci>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
</apply>
</apply>
</math>
<!--I_GLUT = -J_GLUT*F;-->
</component>
<component name="Na_Cl">
<variable initial_value="6.69e-10" name="V_NaCl_max" public_interface="out" units="umol_per_s"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="Cl_m" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="Cl_i" public_interface="in" units="M"/>
<variable initial_value="14e-3" name="K_1" public_interface="out" units="M"/>
<variable initial_value="22e-3" name="K_3" public_interface="out" units="M"/>
<variable initial_value="56e-3" name="K_4" public_interface="out" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="J_NaCl" public_interface="out" units="umol_per_s"/>
<variable name="J_NACL" public_interface="out" units="umol_per_s"/>
<!--var I_NaCl: uA {pub: out};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_NaCl</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_NaCl_max</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>Na_m</ci>
<ci>Cl_m</ci>
</apply>
<apply>
<times/>
<ci>Na_i</ci>
<ci>Cl_i</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>K_1</ci>
<ci>K_3</ci>
</apply>
<apply>
<times/>
<ci>K_3</ci>
<ci>Na_m</ci>
</apply>
<apply>
<times/>
<ci>K_4</ci>
<ci>Cl_m</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>Na_m</ci>
<ci>Cl_m</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NACL</ci>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
<ci>J_NaCl</ci>
</apply>
</apply>
</math>
<!--I_NaCl = -J_NaCl*F;-->
</component>
<component name="NaK_channel">
<variable name="time" public_interface="in" units="second"/>
<variable name="v_sc" public_interface="in" units="volt"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="K_s" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="TO_NaK" public_interface="out" units="per_second"/>
<variable initial_value="49.2e5" name="n_NaK" public_interface="out" units="dimensionless"/>
<variable initial_value="10e-3" name="K_Na_i_half" public_interface="out" units="M"/>
<variable initial_value="1.5e-3" name="K_K_s_half" public_interface="out" units="M"/>
<variable name="I_Na_NaK" public_interface="out" units="uA"/>
<variable name="I_K_NaK" public_interface="out" units="uA"/>
<variable name="J_NaK" public_interface="out" units="umol_per_s"/>
<variable name="J_Na_NaK" public_interface="out" units="umol_per_s"/>
<variable name="J_K_NaK" public_interface="out" units="umol_per_s"/>
<!--var J_K_NaK: umol_per_s {pub: out};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_K_NaK</ci>
<apply>
<times/>
<ci>J_K_NaK</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Na_NaK</ci>
<apply>
<times/>
<ci>J_Na_NaK</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>TO_NaK</ci>
<ci>n_NaK</ci>
</apply>
<cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
<cn cellml:units="dimensionless">1.13</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_Na_i_half</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.3</cn>
<ci>K_s</ci>
</apply>
<apply>
<plus/>
<ci>K_K_s_half</ci>
<ci>K_s</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>TO_NaK</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_volt4_per_second" type="e-notation">5.46<sep/>+4</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt3_per_second" type="e-notation">2.43<sep/>+2</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt2_per_second" type="e-notation">2<sep/>+3</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt_per_second">160</cn>
<ci>v_sc</ci>
</apply>
<cn cellml:units="per_second">51</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Na_NaK</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>J_NaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_K_NaK</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_NaK</ci>
</apply>
</apply>
</math>
<!--J_Na_NaK = -108e8{dimensionless}*J_NaK;-->
<!--J_K_NaK = -72e8{dimensionless}*J_NaK;-->
</component>
<component name="Apical_Diffusion">
<variable name="v_mc" public_interface="in" units="volt"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="K_m" public_interface="in" units="M"/>
<variable name="Cl_m" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="K_i" public_interface="in" units="M"/>
<variable name="Cl_i" public_interface="in" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="z_k" public_interface="in" units="dimensionless"/>
<variable name="z_Cl" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="P_Na" public_interface="in" units="m_per_s"/>
<variable name="P_k" public_interface="in" units="m_per_s"/>
<variable name="P_Cl" public_interface="in" units="m_per_s"/>
<variable name="J_D_Na" public_interface="out" units="umol_per_s"/>
<variable name="J_D_NA" public_interface="out" units="umol_per_s"/>
<variable name="I_D_Na" public_interface="out" units="uA"/>
<variable name="J_D_K" public_interface="out" units="umol_per_s"/>
<variable name="I_D_K" public_interface="out" units="uA"/>
<variable name="J_D_Cl" public_interface="out" units="umol_per_s"/>
<variable name="I_D_Cl" public_interface="out" units="uA"/>
<variable name="J_D_Apical" public_interface="out" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_D_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_Na</ci>
<ci>F</ci>
<ci>z_Na</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Na_m</ci>
<apply>
<times/>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_NA</ci>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
<ci>J_D_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_Na</ci>
<apply>
<times/>
<ci>J_D_Na</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_k</ci>
<ci>F</ci>
<ci>z_k</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>K_m</ci>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_K</ci>
<apply>
<times/>
<ci>J_D_K</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_Cl</ci>
<ci>F</ci>
<ci>z_Cl</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Cl_m</ci>
<apply>
<times/>
<ci>Cl_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_mc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_Cl</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>J_D_Cl</ci>
</apply>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Apical</ci>
<apply>
<plus/>
<ci>J_D_Na</ci>
<ci>J_D_K</ci>
<ci>J_D_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="Basolateral_Diffusion">
<variable name="v_sc" public_interface="in" units="volt"/>
<variable name="Na_s" public_interface="in" units="M"/>
<variable name="K_s" public_interface="in" units="M"/>
<variable name="Cl_s" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="K_i" public_interface="in" units="M"/>
<variable name="Cl_i" public_interface="in" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="z_k" public_interface="in" units="dimensionless"/>
<variable name="z_Cl" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="A_Basol" public_interface="in" units="m2"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="P_Bl_Na" public_interface="in" units="m_per_s"/>
<variable name="P_Bl_k" public_interface="in" units="m_per_s"/>
<variable name="P_Bl_Cl" public_interface="in" units="m_per_s"/>
<variable name="J_D_Bl_Na" public_interface="out" units="umol_per_s"/>
<variable name="I_D_Bl_Na" public_interface="out" units="uA"/>
<variable name="J_D_Bl_K" public_interface="out" units="umol_per_s"/>
<variable name="I_D_Bl_K" public_interface="out" units="uA"/>
<variable name="J_D_Bl_Cl" public_interface="out" units="umol_per_s"/>
<variable name="I_D_Bl_Cl" public_interface="out" units="uA"/>
<variable name="J_D_Basolateral" public_interface="out" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_D_Bl_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_Bl_Na</ci>
<ci>F</ci>
<ci>z_Na</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Na_s</ci>
<apply>
<times/>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Basol</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_Bl_Na</ci>
<apply>
<times/>
<ci>J_D_Bl_Na</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Bl_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_Bl_k</ci>
<ci>F</ci>
<ci>z_k</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>K_s</ci>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Basol</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_Bl_K</ci>
<apply>
<times/>
<ci>J_D_Bl_K</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Bl_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_Bl_Cl</ci>
<ci>F</ci>
<ci>z_Cl</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Cl_s</ci>
<apply>
<times/>
<ci>Cl_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_sc</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Basol</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_Bl_Cl</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>J_D_Bl_Cl</ci>
</apply>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Basolateral</ci>
<apply>
<plus/>
<ci>J_D_Bl_Na</ci>
<ci>J_D_Bl_K</ci>
<ci>J_D_Bl_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="Paracellular_voltage">
<variable name="v_ms" public_interface="out" units="volt"/>
<variable name="v_sc" public_interface="in" units="volt"/>
<variable name="v_mc" public_interface="in" units="volt"/>
<!-- var time: second {pub: in};
var capacitance: uF {pub: in};
var I_D_P_Na: uA {pub: in};
var I_D_P_K: uA {pub: in};
var I_D_P_Cl: uA {pub: in};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>v_ms</ci>
<apply>
<minus/>
<ci>v_mc</ci>
<ci>v_sc</ci>
</apply>
</apply>
</math>
<!--ode(v_ms, time) = (I_D_P_Na+I_D_P_K+I_D_P_Cl)/capacitance;-->
</component>
<component name="Paracellular_Diffusion">
<variable name="v_ms" public_interface="in" units="volt"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="K_m" public_interface="in" units="M"/>
<variable name="Cl_m" public_interface="in" units="M"/>
<variable name="Na_s" public_interface="in" units="M"/>
<variable name="K_s" public_interface="in" units="M"/>
<variable name="Cl_s" public_interface="in" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="z_k" public_interface="in" units="dimensionless"/>
<variable name="z_Cl" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="P_P_Na" public_interface="in" units="m_per_s"/>
<variable name="P_P_k" public_interface="in" units="m_per_s"/>
<variable name="P_P_Cl" public_interface="in" units="m_per_s"/>
<variable name="J_D_P_Na" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_Na" public_interface="out" units="uA"/>
<variable name="J_D_P_K" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_K" public_interface="out" units="uA"/>
<variable name="J_D_P_Cl" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_Cl" public_interface="out" units="uA"/>
<variable name="J_D_Paracellular" public_interface="out" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_D_P_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_Na</ci>
<ci>F</ci>
<ci>z_Na</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Na_m</ci>
<apply>
<times/>
<ci>Na_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="m2" type="e-notation">1<sep/>-12</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_Na</ci>
<apply>
<times/>
<ci>J_D_P_Na</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_P_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_k</ci>
<ci>F</ci>
<ci>z_k</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>K_m</ci>
<apply>
<times/>
<ci>K_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="m2" type="e-notation">1<sep/>-12</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_K</ci>
<apply>
<times/>
<ci>J_D_P_K</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_P_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_Cl</ci>
<ci>F</ci>
<ci>z_Cl</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Cl_m</ci>
<apply>
<times/>
<ci>Cl_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="m2" type="e-notation">1<sep/>-12</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_Cl</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>J_D_P_Cl</ci>
</apply>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_Paracellular</ci>
<apply>
<plus/>
<ci>J_D_P_Na</ci>
<ci>J_D_P_K</ci>
<ci>J_D_P_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="interstitium_concentration">
<variable initial_value="10e-3" name="glucose_s" public_interface="out" units="M"/>
</component>
<!-- def map between parameters and GLUT2 for
vars F and F;
enddef;-->
<connection>
<map_components component_1="rate_constants" component_2="phenomonological_constants"/>
<map_variables variable_1="ks_12" variable_2="ks_12"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<!--vars k_23 and k_23;-->
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
</connection>
<connection>
<map_components component_1="phenomonological_constants" component_2="Apical_concentrations"/>
<map_variables variable_1="Na_m" variable_2="Na_m"/>
<map_variables variable_1="glucose_m" variable_2="glucose_m"/>
</connection>
<connection>
<map_components component_1="phenomonological_constants" component_2="Cell_concentration"/>
<map_variables variable_1="J_Na_SGLT" variable_2="J_Na_SGLT"/>
<map_variables variable_1="J_Gl_SGLT" variable_2="J_Gl_SGLT"/>
</connection>
<connection>
<map_components component_1="phenomonological_constants" component_2="parameters"/>
<map_variables variable_1="k0_23" variable_2="k0_23"/>
<!--vars C_T and C_T;-->
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="phenomonological_constants" component_2="Apical_voltage"/>
<map_variables variable_1="I_Na_SGLT" variable_2="I_Na_SGLT"/>
<!--vars I_Gl_SGLT and I_Gl_SGLT;-->
</connection>
<connection>
<map_components component_1="rate_constants" component_2="Apical_concentrations"/>
<map_variables variable_1="Na_m" variable_2="Na_m"/>
<map_variables variable_1="glucose_m" variable_2="glucose_m"/>
</connection>
<connection>
<map_components component_1="rate_constants" component_2="Cell_concentration"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="glucose_i" variable_2="glucose_i"/>
</connection>
<connection>
<map_components component_1="rate_constants" component_2="parameters"/>
<map_variables variable_1="k0_12" variable_2="k0_12"/>
<map_variables variable_1="k0_21" variable_2="k0_21"/>
<!--vars k0_23 and k0_23;-->
<map_variables variable_1="k0_32" variable_2="k0_32"/>
<map_variables variable_1="k0_25" variable_2="k0_25"/>
<map_variables variable_1="k0_52" variable_2="k0_52"/>
<map_variables variable_1="k0_34" variable_2="k0_34"/>
<map_variables variable_1="k0_43" variable_2="k0_43"/>
<map_variables variable_1="k0_45" variable_2="k0_45"/>
<map_variables variable_1="k0_54" variable_2="k0_54"/>
<map_variables variable_1="k0_56" variable_2="k0_56"/>
<map_variables variable_1="k0_65" variable_2="k0_65"/>
<map_variables variable_1="k0_61" variable_2="k0_61"/>
<map_variables variable_1="k0_16" variable_2="k0_16"/>
<map_variables variable_1="delta" variable_2="delta"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<!--vars alpha_pp and alpha_pp;-->
<!--vars C_T and C_T;-->
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="z_c" variable_2="z_c"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="mu" variable_2="mu"/>
</connection>
<connection>
<map_components component_1="Cell_concentration" component_2="GLUT2"/>
<map_variables variable_1="glucose_i" variable_2="glucose_i"/>
<map_variables variable_1="J_GLUT" variable_2="J_GLUT"/>
</connection>
<connection>
<map_components component_1="interstitium_concentration" component_2="GLUT2"/>
<map_variables variable_1="glucose_s" variable_2="glucose_s"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="GLUT2"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<!-- def map between GLUT2 and Basol_voltage for
vars I_GLUT and I_GLUT;
enddef;-->
<connection>
<map_components component_1="Cell_concentration" component_2="Na_Cl"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="Cl_i" variable_2="Cl_i"/>
<map_variables variable_1="J_NaCl" variable_2="J_NaCl"/>
</connection>
<connection>
<map_components component_1="Na_Cl" component_2="parameters"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<!-- def map between Cell_concentration and Apical_concentration for
vars time and time;
vars v_cell and v_cell;
enddef;-->
<connection>
<map_components component_1="Apical_concentrations" component_2="Na_Cl"/>
<map_variables variable_1="Na_m" variable_2="Na_m"/>
<map_variables variable_1="Cl_m" variable_2="Cl_m"/>
<!--vars F and F;-->
</connection>
<!-- def map between parameters and Apical_voltage for
vars capacitance and capacitance;
vars time and time;
enddef;-->
<!-- def map between Na_Cl and Apical_voltage for
vars I_NaCl and I_NaCl;
enddef;-->
<connection>
<map_components component_1="parameters" component_2="NaK_channel"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Cell_concentration" component_2="NaK_channel"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="J_Na_NaK" variable_2="J_Na_NaK"/>
<map_variables variable_1="J_K_NaK" variable_2="J_K_NaK"/>
</connection>
<connection>
<map_components component_1="Basolateral_concentrations" component_2="NaK_channel"/>
<map_variables variable_1="K_s" variable_2="K_s"/>
</connection>
<connection>
<map_components component_1="Basol_voltage" component_2="NaK_channel"/>
<map_variables variable_1="I_Na_NaK" variable_2="I_Na_NaK"/>
<map_variables variable_1="I_K_NaK" variable_2="I_K_NaK"/>
<map_variables variable_1="v_sc" variable_2="v_sc"/>
</connection>
<connection>
<map_components component_1="Cell_concentration" component_2="Apical_Diffusion"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="Cl_i" variable_2="Cl_i"/>
<map_variables variable_1="J_D_Na" variable_2="J_D_Na"/>
<map_variables variable_1="J_D_K" variable_2="J_D_K"/>
<map_variables variable_1="J_D_Cl" variable_2="J_D_Cl"/>
</connection>
<!-- def map between Apical_concentrations and Cell_concentration for
vars time and time;
enddef;-->
<connection>
<map_components component_1="Apical_concentrations" component_2="Apical_Diffusion"/>
<map_variables variable_1="Na_m" variable_2="Na_m"/>
<map_variables variable_1="K_m" variable_2="K_m"/>
<map_variables variable_1="Cl_m" variable_2="Cl_m"/>
<!--vars F and F;-->
</connection>
<connection>
<map_components component_1="parameters" component_2="Apical_Diffusion"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="z_k" variable_2="z_k"/>
<map_variables variable_1="z_Cl" variable_2="z_Cl"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
<map_variables variable_1="P_Na" variable_2="P_Na"/>
<map_variables variable_1="P_k" variable_2="P_k"/>
<map_variables variable_1="P_Cl" variable_2="P_Cl"/>
</connection>
<!-- def map between parameters and Cell_concentration for
vars v_cell and v_cell;
enddef;-->
<!-- def map between parameters and Apical_voltage for
vars time and time;
enddef;-->
<connection>
<map_components component_1="Apical_Diffusion" component_2="Apical_voltage"/>
<map_variables variable_1="I_D_Na" variable_2="I_D_Na"/>
<map_variables variable_1="I_D_K" variable_2="I_D_K"/>
<map_variables variable_1="I_D_Cl" variable_2="I_D_Cl"/>
<map_variables variable_1="v_mc" variable_2="v_mc"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="Apical_voltage"/>
<map_variables variable_1="capacitance" variable_2="capacitance"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="v_mc" variable_2="v_mc"/>
</connection>
<connection>
<map_components component_1="Cell_concentration" component_2="Basolateral_Diffusion"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="Cl_i" variable_2="Cl_i"/>
<map_variables variable_1="J_D_Bl_Na" variable_2="J_D_Bl_Na"/>
<map_variables variable_1="J_D_Bl_K" variable_2="J_D_Bl_K"/>
<map_variables variable_1="J_D_Bl_Cl" variable_2="J_D_Bl_Cl"/>
</connection>
<!-- def map between Basolateral_concentrations and Cell_concentration for
vars time and time;
enddef;-->
<connection>
<map_components component_1="Basolateral_concentrations" component_2="Basolateral_Diffusion"/>
<map_variables variable_1="Na_s" variable_2="Na_s"/>
<map_variables variable_1="K_s" variable_2="K_s"/>
<map_variables variable_1="Cl_s" variable_2="Cl_s"/>
<!--vars F and F;-->
</connection>
<connection>
<map_components component_1="parameters" component_2="Basolateral_Diffusion"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="z_k" variable_2="z_k"/>
<map_variables variable_1="z_Cl" variable_2="z_Cl"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="A_Basol" variable_2="A_Basol"/>
<map_variables variable_1="P_Bl_Na" variable_2="P_Bl_Na"/>
<map_variables variable_1="P_Bl_k" variable_2="P_Bl_k"/>
<map_variables variable_1="P_Bl_Cl" variable_2="P_Bl_Cl"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="Cell_concentration"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<!-- def map between Basolateral_concentrations and Basol_voltage for
vars time and time;
enddef;-->
<connection>
<map_components component_1="Basolateral_Diffusion" component_2="Basol_voltage"/>
<map_variables variable_1="I_D_Bl_Na" variable_2="I_D_Bl_Na"/>
<map_variables variable_1="I_D_Bl_K" variable_2="I_D_Bl_K"/>
<map_variables variable_1="I_D_Bl_Cl" variable_2="I_D_Bl_Cl"/>
<map_variables variable_1="v_sc" variable_2="v_sc"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="Basol_voltage"/>
<map_variables variable_1="capacitance" variable_2="capacitance"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Apical_concentrations" component_2="Paracellular_Diffusion"/>
<map_variables variable_1="Na_m" variable_2="Na_m"/>
<map_variables variable_1="K_m" variable_2="K_m"/>
<map_variables variable_1="Cl_m" variable_2="Cl_m"/>
<!--vars F and F;-->
</connection>
<connection>
<map_components component_1="Apical_concentrations" component_2="parameters"/>
<map_variables variable_1="time" variable_2="time"/>
<!--vars F and F;-->
</connection>
<connection>
<map_components component_1="parameters" component_2="Paracellular_Diffusion"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="z_k" variable_2="z_k"/>
<map_variables variable_1="z_Cl" variable_2="z_Cl"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
<map_variables variable_1="P_P_Na" variable_2="P_P_Na"/>
<map_variables variable_1="P_P_k" variable_2="P_P_k"/>
<map_variables variable_1="P_P_Cl" variable_2="P_P_Cl"/>
</connection>
<!-- def map between Apical_concentrations and Paracellular_voltage for
vars time and time;
enddef;-->
<connection>
<map_components component_1="Paracellular_Diffusion" component_2="Paracellular_voltage"/>
<!-- vars I_D_P_Na and I_D_P_Na;
vars I_D_P_K and I_D_P_K;
vars I_D_P_Cl and I_D_P_Cl;-->
<map_variables variable_1="v_ms" variable_2="v_ms"/>
</connection>
<!-- def map between parameters and Paracellular_voltage for
vars capacitance and capacitance;
vars time and time;
enddef;-->
<connection>
<map_components component_1="Basol_voltage" component_2="Paracellular_voltage"/>
<map_variables variable_1="v_sc" variable_2="v_sc"/>
</connection>
<connection>
<map_components component_1="Apical_voltage" component_2="Paracellular_voltage"/>
<map_variables variable_1="v_mc" variable_2="v_mc"/>
</connection>
<connection>
<map_components component_1="Apical_voltage" component_2="Paracellular_Diffusion"/>
<map_variables variable_1="I_D_P_Na" variable_2="I_D_P_Na"/>
<map_variables variable_1="I_D_P_K" variable_2="I_D_P_K"/>
<map_variables variable_1="I_D_P_Cl" variable_2="I_D_P_Cl"/>
</connection>
<connection>
<map_components component_1="Basol_voltage" component_2="Paracellular_Diffusion"/>
<map_variables variable_1="I_D_P_Na" variable_2="I_D_P_Na"/>
<map_variables variable_1="I_D_P_K" variable_2="I_D_P_K"/>
<map_variables variable_1="I_D_P_Cl" variable_2="I_D_P_Cl"/>
</connection>
<connection>
<map_components component_1="Basolateral_concentrations" component_2="Paracellular_Diffusion"/>
<map_variables variable_1="Na_s" variable_2="Na_s"/>
<map_variables variable_1="K_s" variable_2="K_s"/>
<map_variables variable_1="Cl_s" variable_2="Cl_s"/>
<!--vars F and F;-->
</connection>
</model>