- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-07-31 18:31:06+12:00
- Desc:
- modularisation
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/64ea31e49cc3a4ba9a3b468db0f26f8fae5e155c/main.cellml
<?xml version='1.0'?>
<model name="Glucose_Uptake" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="Units.cellml">
<units name="m2" units_ref="m2"/>
<units name="cm" units_ref="cm"/>
<units name="cm2" units_ref="cm2"/>
<units name="um2" units_ref="um2"/>
<units name="um" units_ref="um"/>
<units name="um3" units_ref="um3"/>
<units name="m3" units_ref="m3"/>
<units name="per_m" units_ref="per_m"/>
<units name="per_m2" units_ref="per_m2"/>
<units name="per_s" units_ref="per_s"/>
<units name="per_s2" units_ref="per_s2"/>
<units name="m_per_s" units_ref="m_per_s"/>
<units name="cm_per_s" units_ref="cm_per_s"/>
<units name="V_per_s" units_ref="V_per_s"/>
<units name="per_V_s" units_ref="per_V_s"/>
<units name="per_V4_s" units_ref="per_V4_s"/>
<units name="per_V3_s" units_ref="per_V3_s"/>
<units name="per_V2_s" units_ref="per_V2_s"/>
<units name="per_mol" units_ref="per_mol"/>
<units name="umol" units_ref="umol"/>
<units name="per_umol" units_ref="per_umol"/>
<units name="M" units_ref="M"/>
<units name="per_M" units_ref="per_M"/>
<units name="mol_per_um2" units_ref="mol_per_um2"/>
<units name="mM" units_ref="mM"/>
<units name="mV" units_ref="mV"/>
<units name="J_per_mol_K" units_ref="J_per_mol_K"/>
<units name="pA_per_cm2" units_ref="pA_per_cm2"/>
<units name="uA" units_ref="uA"/>
<units name="uA_per_um2" units_ref="uA_per_um2"/>
<units name="uA_per_A" units_ref="uA_per_A"/>
<units name="umol_per_mol" units_ref="umol_per_mol"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="per_M_s" units_ref="per_M_s"/>
<units name="per_M2_s" units_ref="per_M2_s"/>
<units name="per_M4_s2" units_ref="per_M4_s2"/>
<units name="per_M4_s" units_ref="per_M4_s"/>
<units name="uM" units_ref="uM"/>
<units name="M2" units_ref="M2"/>
<units name="M3" units_ref="M3"/>
<units name="M3_per_s" units_ref="M3_per_s"/>
<units name="per_M3_s5" units_ref="per_M3_s5"/>
<units name="M_per_s" units_ref="M_per_s"/>
<units name="cm2_per_s" units_ref="cm2_per_s"/>
<units name="mol_per_m2" units_ref="mol_per_m2"/>
<units name="Farad" units_ref="Farad"/>
<units name="uF" units_ref="uF"/>
<units name="uF_per_cm2" units_ref="uF_per_cm2"/>
<units name="umol_per_cm2_s" units_ref="umol_per_cm2_s"/>
<units name="umol_per_s" units_ref="umol_per_s"/>
<units name="uA_per_cm2" units_ref="uA_per_cm2"/>
<units name="m3_mol_per_l_umol" units_ref="m3_mol_per_l_umol"/>
<units name="l_umol_per_mol_m3" units_ref="l_umol_per_mol_m3"/>
<units name="S" units_ref="S"/>
<units name="S_per_m2" units_ref="S_per_m2"/>
</import>
<import xlink:href="SGLT1.cellml">
<component component_ref="SGLT1" name="SGLT1"/>
</import>
<import xlink:href="GLUT2.cellml">
<component component_ref="GLUT2" name="GLUT2"/>
</import>
<import xlink:href="GLUT2.cellml">
<component component_ref="GLUT2_Apical" name="GLUT2_Apical"/>
</import>
<import xlink:href="ENaC.cellml">
<component component_ref="ENaC" name="ENaC"/>
</import>
<import xlink:href="NaK.cellml">
<component component_ref="NaK_Pump" name="NaK_Pump"/>
</import>
<import xlink:href="NBC.cellml">
<component component_ref="NBC" name="NBC"/>
</import>
<import xlink:href="NKCC.cellml">
<component component_ref="NKCC" name="NKCC"/>
</import>
<import xlink:href="IK.cellml">
<component component_ref="IK" name="IK"/>
</import>
<import xlink:href="BK.cellml">
<component component_ref="BK" name="BK"/>
</import>
<import xlink:href="AE1.cellml">
<component component_ref="AE1" name="AE1"/>
</import>
<import xlink:href="NHE3.cellml">
<component component_ref="NHE3" name="NHE3"/>
</import>
<import xlink:href="CFTR.cellml">
<component component_ref="CFTR" name="CFTR"/>
</import>
<!-- def import using "Diffusion.cellml" for
comp Na_a_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp K_a_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp Cl_a_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp Na_b_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp K_b_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp Cl_b_Diffusion using comp Transcellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp Na_P_Diffusion using comp Paracellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp K_P_Diffusion using comp Paracellular_Diffusion;
enddef;-->
<!-- def import using "Diffusion.cellml" for
comp Cl_P_Diffusion using comp Paracellular_Diffusion;
enddef;-->
<import xlink:href="Parameters.cellml">
<component component_ref="Parameters" name="Parameters"/>
</import>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<component name="Apical_Membrane">
<variable initial_value="-0.046" name="V_a" public_interface="out" units="volt"/>
<variable initial_value="0.05" name="q_Gl_a" public_interface="out" units="M"/>
<variable initial_value="0.105" name="q_Na_a" public_interface="out" units="M"/>
<variable initial_value="0.004" name="q_K_a" public_interface="out" units="M"/>
<variable initial_value="0.106" name="q_Cl_a" public_interface="out" units="M"/>
<variable name="I_NHE3_H" public_interface="in" units="uA"/>
<variable name="I_NHE3_Na" public_interface="in" units="uA"/>
<variable name="I_Na_SGLT" public_interface="in" units="uA"/>
<variable name="I_BK" public_interface="in" units="uA"/>
<variable name="I_ENaC" public_interface="in" units="uA"/>
<variable name="I_CFTR" public_interface="in" units="uA"/>
<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"/>
<variable name="C" public_interface="in" units="uF"/>
<variable name="t" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V_a</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_Na_SGLT</ci>
<ci>I_CFTR</ci>
<ci>I_ENaC</ci>
</apply>
<ci>I_BK</ci>
</apply>
<ci>I_D_Na</ci>
<ci>I_D_K</ci>
</apply>
<ci>I_D_Cl</ci>
</apply>
<ci>I_D_P_Na</ci>
<ci>I_D_P_K</ci>
</apply>
<ci>I_D_P_Cl</ci>
</apply>
<ci>C</ci>
</apply>
</apply>
</math>
</component>
<component name="Basolateral_Membrane">
<variable initial_value="-0.05" name="V_b" public_interface="out" units="volt"/>
<variable initial_value="0.0" name="q_Gl_b" public_interface="out" units="M"/>
<variable initial_value="0.155" name="q_Na_b" public_interface="out" units="M"/>
<variable initial_value="0.0054" name="q_K_b" public_interface="out" units="M"/>
<variable initial_value="0.119" name="q_Cl_b" public_interface="out" units="M"/>
<variable name="I_Na_NaK" public_interface="in" units="uA"/>
<variable name="I_K_NaK" public_interface="in" units="uA"/>
<variable name="I_NBC_Na" public_interface="in" units="uA"/>
<variable name="I_NBC_HCO3" public_interface="in" units="uA"/>
<variable name="I_IK" public_interface="in" units="uA"/>
<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_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"/>
<variable name="J_D_Bl_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_K" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_Cl" public_interface="in" units="umol_per_s"/>
<variable name="C" public_interface="in" units="uF"/>
<variable name="t" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V_b</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>I_Na_NaK</ci>
</apply>
<ci>I_K_NaK</ci>
<ci>I_NBC_Na</ci>
</apply>
<ci>I_NBC_HCO3</ci>
</apply>
<ci>I_IK</ci>
</apply>
<ci>I_D_Bl_Na</ci>
<ci>I_D_Bl_K</ci>
</apply>
<ci>I_D_Bl_Cl</ci>
</apply>
<ci>I_D_P_Na</ci>
</apply>
<ci>I_D_P_K</ci>
</apply>
<ci>I_D_P_Cl</ci>
</apply>
<ci>C</ci>
</apply>
</apply>
</math>
</component>
<component name="Epithelial_Cell">
<variable initial_value="0.01" name="q_Gl_c" public_interface="out" units="M"/>
<variable initial_value="0.047" name="q_Na_c" public_interface="out" units="M"/>
<variable initial_value="0.057" name="q_Cl_c" public_interface="out" units="M"/>
<variable initial_value="0.129" name="q_K_c" public_interface="out" units="M"/>
<variable initial_value="6e-5" name="q_Ca_c" public_interface="out" units="M"/>
<variable name="q_H_int" public_interface="out" units="M"/>
<variable name="q_H_ext" public_interface="out" units="M"/>
<variable name="q_H_b" public_interface="out" units="M"/>
<variable initial_value="0.003" name="q_HCO3_a" public_interface="out" units="M"/>
<variable name="q_HCO3_c" public_interface="out" units="M"/>
<variable initial_value="0.041" name="q_HCO3_b" public_interface="out" units="M"/>
<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_NBC_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_NBC_HCO3" public_interface="in" units="umol_per_s"/>
<variable name="J_NHE3_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_NHE3_H" public_interface="in" units="umol_per_s"/>
<variable name="J_GLUT" public_interface="in" units="umol_per_s"/>
<variable name="J_A_GLUT" public_interface="in" units="umol_per_s"/>
<variable name="J_AE1_Cl" public_interface="in" units="umol_per_s"/>
<variable name="J_AE1_HCO3" public_interface="in" units="umol_per_s"/>
<variable name="J_CFTR" public_interface="in" units="umol_per_s"/>
<variable name="J_CFTR_HCO3" public_interface="in" units="umol_per_s"/>
<variable name="J_ENaC" public_interface="in" units="umol_per_s"/>
<variable name="J_NKCC" public_interface="in" units="umol_per_s"/>
<variable name="J_IK" public_interface="in" units="umol_per_s"/>
<variable name="J_BK" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_D_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_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_K" public_interface="in" units="umol_per_s"/>
<variable name="J_D_Bl_Cl" public_interface="in" units="umol_per_s"/>
<variable initial_value="7.2" name="pq_H_int" public_interface="out" units="per_s"/>
<variable initial_value="7.3" name="pq_H_ext" public_interface="out" units="per_s"/>
<variable initial_value="7.3" name="pq_H_b" public_interface="out" units="per_s"/>
<variable initial_value="1680000" name="rho" public_interface="out" units="per_m"/>
<variable name="beta" public_interface="out" units="M"/>
<variable initial_value="6.1" name="p_K" public_interface="out" units="dimensionless"/>
<variable initial_value="40" name="P_CO2" public_interface="out" units="dimensionless"/>
<variable initial_value="1e-5" name="s" public_interface="out" units="dimensionless"/>
<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"/>
<variable initial_value="1" name="theta_14" units="dimensionless"/>
<variable initial_value="1" name="theta_15" units="dimensionless"/>
<variable initial_value="1" name="theta_16" units="dimensionless"/>
<variable initial_value="1" name="theta_17" units="dimensionless"/>
<variable initial_value="1" name="theta_18" units="dimensionless"/>
<variable initial_value="1" name="theta_19" units="dimensionless"/>
<variable initial_value="1" name="theta_20" units="dimensionless"/>
<variable initial_value="1" name="theta_21" units="dimensionless"/>
<variable initial_value="1" name="theta_22" units="dimensionless"/>
<variable initial_value="1" name="theta_23" units="dimensionless"/>
<variable initial_value="1" name="theta_24" units="dimensionless"/>
<variable initial_value="1" name="theta_25" units="dimensionless"/>
<variable initial_value="1" name="theta_26" units="dimensionless"/>
<variable initial_value="1" name="theta_27" units="dimensionless"/>
<variable name="v_cell" public_interface="in" units="m3"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="t" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2.3</cn>
<ci>q_HCO3_c</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_c</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mol_per_l_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<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>
<apply>
<times/>
<ci>theta_15</ci>
<ci>J_ENaC</ci>
</apply>
<apply>
<times/>
<ci>theta_16</ci>
<ci>J_NKCC</ci>
</apply>
<apply>
<times/>
<ci>theta_19</ci>
<ci>J_NBC_Na</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>
<times/>
<ci>theta_3</ci>
<ci>J_NHE3_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Gl_c</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mol_per_l_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_26</ci>
<cn cellml:units="dimensionless">1</cn>
<ci>J_A_GLUT</ci>
</apply>
<apply>
<times/>
<ci>theta_6</ci>
<ci>J_Gl_SGLT</ci>
</apply>
</apply>
<apply>
<times/>
<ci>theta_7</ci>
<cn cellml:units="dimensionless">1</cn>
<ci>J_GLUT</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_c</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mol_per_l_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_8</ci>
<ci>J_K_NaK</ci>
</apply>
<apply>
<times/>
<ci>theta_17</ci>
<ci>J_NKCC</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>
<times/>
<ci>theta_27</ci>
<ci>J_IK</ci>
</apply>
</apply>
<ci>J_BK</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Cl_c</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="m3_mol_per_l_umol" type="e-notation">1<sep/>-9</cn>
<ci>v_cell</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_11</ci>
<apply>
<minus/>
<ci>J_CFTR</ci>
</apply>
</apply>
<apply>
<times/>
<ci>theta_18</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>J_NKCC</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>
<times/>
<ci>theta_14</ci>
<ci>J_AE1_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>pq_H_int</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="m3_mol_per_l_umol" type="e-notation">1<sep/>-9</cn>
<ci>rho</ci>
</apply>
<apply>
<times/>
<ci>beta</ci>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>theta_20</ci>
<ci>J_NBC_HCO3</ci>
</apply>
<apply>
<times/>
<ci>theta_22</ci>
<ci>J_NHE3_H</ci>
</apply>
</apply>
<apply>
<times/>
<ci>theta_25</ci>
<ci>J_AE1_HCO3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_H_int</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pq_H_int</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_HCO3_c</ci>
<apply>
<times/>
<ci>s</ci>
<ci>P_CO2</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pq_H_int</ci>
<ci>p_K</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_H_ext</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pq_H_ext</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_H_b</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pq_H_b</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Blood">
<variable name="q_Gl_b" public_interface="in" units="M"/>
<variable initial_value="0.012" name="q_Gl_blood" public_interface="out" units="M"/>
<variable name="J_Gl_blood" public_interface="out" units="umol_per_s"/>
<variable initial_value="1e-6" name="K" public_interface="out" units="dimensionless"/>
<variable name="t" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_Gl_blood</ci>
<apply>
<times/>
<ci>K</ci>
<apply>
<minus/>
<ci>q_Gl_b</ci>
<ci>q_Gl_blood</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Gl_blood</ci>
</apply>
<cn cellml:units="dimensionless">0</cn>
</apply>
</math>
</component>
<!-- Mapping Apical Membrane-->
<connection>
<map_components component_1="Apical_Membrane" component_2="SGLT1"/>
<map_variables variable_1="q_Na_a" variable_2="q_Na_a"/>
<map_variables variable_1="q_Gl_a" variable_2="q_Gl_a"/>
<map_variables variable_1="V_a" variable_2="V_a"/>
<map_variables variable_1="I_Na_SGLT" variable_2="I_Na_SGLT"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="GLUT2_Apical"/>
<map_variables variable_1="q_Gl_a" variable_2="q_Gl_a"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="NHE3"/>
<map_variables variable_1="I_NHE3_H" variable_2="I_NHE3_H"/>
<map_variables variable_1="I_NHE3_Na" variable_2="I_NHE3_Na"/>
<map_variables variable_1="q_Na_a" variable_2="q_Na_a"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="AE1"/>
<map_variables variable_1="q_Cl_a" variable_2="q_Cl_a"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="CFTR"/>
<map_variables variable_1="q_Cl_a" variable_2="q_Cl_a"/>
<map_variables variable_1="V_a" variable_2="V_a"/>
<map_variables variable_1="I_CFTR" variable_2="I_CFTR"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="ENaC"/>
<map_variables variable_1="q_Na_a" variable_2="q_Na_a"/>
<map_variables variable_1="V_a" variable_2="V_a"/>
<map_variables variable_1="I_ENaC" variable_2="I_ENaC"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="BK"/>
<map_variables variable_1="q_K_a" variable_2="q_K_a"/>
<map_variables variable_1="V_a" variable_2="V_a"/>
<map_variables variable_1="I_BK" variable_2="I_BK"/>
</connection>
<connection>
<map_components component_1="Apical_Membrane" component_2="Parameters"/>
<map_variables variable_1="C" variable_2="C"/>
</connection>
<!-- Mapping Epithelial Cell-->
<connection>
<map_components component_1="Epithelial_Cell" component_2="SGLT1"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<map_variables variable_1="q_Gl_c" variable_2="q_Gl_c"/>
<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="Epithelial_Cell" component_2="GLUT2"/>
<map_variables variable_1="q_Gl_c" variable_2="q_Gl_c"/>
<map_variables variable_1="J_GLUT" variable_2="J_GLUT"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="GLUT2_Apical"/>
<map_variables variable_1="q_Gl_c" variable_2="q_Gl_c"/>
<map_variables variable_1="J_A_GLUT" variable_2="J_A_GLUT"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="NHE3"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<map_variables variable_1="q_H_int" variable_2="q_H_int"/>
<map_variables variable_1="q_H_ext" variable_2="q_H_ext"/>
<map_variables variable_1="J_NHE3_Na" variable_2="J_NHE3_Na"/>
<map_variables variable_1="J_NHE3_H" variable_2="J_NHE3_H"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="AE1"/>
<map_variables variable_1="q_Cl_c" variable_2="q_Cl_c"/>
<map_variables variable_1="q_HCO3_c" variable_2="q_HCO3_c"/>
<map_variables variable_1="q_HCO3_a" variable_2="q_HCO3_a"/>
<map_variables variable_1="J_AE1_Cl" variable_2="J_AE1_Cl"/>
<map_variables variable_1="J_AE1_HCO3" variable_2="J_AE1_HCO3"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="NaK_Pump"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<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="Epithelial_Cell" component_2="NBC"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<map_variables variable_1="J_NBC_Na" variable_2="J_NBC_Na"/>
<map_variables variable_1="J_NBC_HCO3" variable_2="J_NBC_HCO3"/>
<map_variables variable_1="q_HCO3_c" variable_2="q_HCO3_c"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="CFTR"/>
<map_variables variable_1="q_Cl_c" variable_2="q_Cl_c"/>
<map_variables variable_1="q_HCO3_c" variable_2="q_HCO3_c"/>
<map_variables variable_1="q_HCO3_a" variable_2="q_HCO3_a"/>
<map_variables variable_1="J_CFTR" variable_2="J_CFTR"/>
<map_variables variable_1="J_CFTR_HCO3" variable_2="J_CFTR_HCO3"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="ENaC"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<map_variables variable_1="J_ENaC" variable_2="J_ENaC"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="NKCC"/>
<map_variables variable_1="q_Na_c" variable_2="q_Na_c"/>
<map_variables variable_1="q_Cl_c" variable_2="q_Cl_c"/>
<map_variables variable_1="q_K_c" variable_2="q_K_c"/>
<map_variables variable_1="J_NKCC" variable_2="J_NKCC"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="IK"/>
<map_variables variable_1="q_K_c" variable_2="q_K_c"/>
<map_variables variable_1="q_Ca_c" variable_2="q_Ca_c"/>
<map_variables variable_1="J_IK" variable_2="J_IK"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="BK"/>
<map_variables variable_1="q_K_c" variable_2="q_K_c"/>
<map_variables variable_1="q_Ca_c" variable_2="q_Ca_c"/>
<map_variables variable_1="J_BK" variable_2="J_BK"/>
</connection>
<connection>
<map_components component_1="Epithelial_Cell" component_2="Parameters"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
</connection>
<!-- Mapping Basolateral Membrane-->
<connection>
<map_components component_1="Basolateral_Membrane" component_2="GLUT2"/>
<map_variables variable_1="q_Gl_b" variable_2="q_Gl_b"/>
</connection>
<connection>
<map_components component_1="Basolateral_Membrane" component_2="NaK_Pump"/>
<map_variables variable_1="q_K_b" variable_2="q_K_b"/>
<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_b" variable_2="V_b"/>
</connection>
<connection>
<map_components component_1="Basolateral_Membrane" component_2="NBC"/>
<map_variables variable_1="V_b" variable_2="V_b"/>
<map_variables variable_1="I_NBC_HCO3" variable_2="I_NBC_HCO3"/>
<map_variables variable_1="I_NBC_Na" variable_2="I_NBC_Na"/>
<map_variables variable_1="q_Na_b" variable_2="q_Na_b"/>
</connection>
<connection>
<map_components component_1="Basolateral_Membrane" component_2="IK"/>
<map_variables variable_1="q_K_b" variable_2="q_K_b"/>
<map_variables variable_1="V_b" variable_2="V_b"/>
<map_variables variable_1="I_IK" variable_2="I_IK"/>
</connection>
<connection>
<map_components component_1="Basolateral_Membrane" component_2="Blood"/>
<map_variables variable_1="q_Gl_b" variable_2="q_Gl_b"/>
</connection>
<connection>
<map_components component_1="Basolateral_Membrane" component_2="Parameters"/>
<map_variables variable_1="C" variable_2="C"/>
</connection>
<!-- Mapping Parameters-->
<connection>
<map_components component_1="Parameters" component_2="NHE3"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="AE1"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="GLUT2"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="NaK_Pump"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="NBC"/>
<map_variables variable_1="F" variable_2="F"/>
<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="v_cell" variable_2="v_cell"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="BK"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_K" variable_2="z_K"/>
<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"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="NKCC"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="A_Apical" variable_2="A_Apical"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="CFTR"/>
<map_variables variable_1="F" variable_2="F"/>
<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"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="ENaC"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<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"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="IK"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_K" variable_2="z_K"/>
<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"/>
</connection>
<connection>
<map_components component_1="Parameters" component_2="GLUT2_Apical"/>
<map_variables variable_1="v_cell" variable_2="v_cell"/>
</connection>
<!-- Mapping Apical Diffusion-->
<connection>
<map_components component_1="Na_a_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="I_D" variable_2="I_D_Na"/>
<map_variables variable_1="psi" variable_2="V_a"/>
<map_variables variable_1="q_i" variable_2="q_Na_a"/>
</connection>
<connection>
<map_components component_1="Na_a_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_Na_c"/>
<map_variables variable_1="J_D" variable_2="J_D_Na"/>
</connection>
<connection>
<map_components component_1="Na_a_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_Na"/>
<map_variables variable_1="z" variable_2="z_Na"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="K_a_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="I_D" variable_2="I_D_K"/>
<map_variables variable_1="psi" variable_2="V_a"/>
<map_variables variable_1="q_i" variable_2="q_K_a"/>
</connection>
<connection>
<map_components component_1="K_a_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_K_c"/>
<map_variables variable_1="J_D" variable_2="J_D_K"/>
</connection>
<connection>
<map_components component_1="K_a_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_K"/>
<map_variables variable_1="z" variable_2="z_K"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="Cl_a_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="I_D" variable_2="I_D_Cl"/>
<map_variables variable_1="psi" variable_2="V_a"/>
<map_variables variable_1="q_i" variable_2="q_Cl_a"/>
</connection>
<connection>
<map_components component_1="Cl_a_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_Cl_c"/>
<map_variables variable_1="J_D" variable_2="J_D_Cl"/>
</connection>
<connection>
<map_components component_1="Cl_a_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_Cl"/>
<map_variables variable_1="z" variable_2="z_Cl"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<!-- Mapping Basolateral Diffusion-->
<connection>
<map_components component_1="Na_b_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_Na_b"/>
<map_variables variable_1="psi" variable_2="V_b"/>
<map_variables variable_1="I_D" variable_2="I_D_Bl_Na"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_Na"/>
</connection>
<connection>
<map_components component_1="Na_b_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_Na_c"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_Na"/>
</connection>
<connection>
<map_components component_1="Na_b_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Basolateral"/>
<map_variables variable_1="P" variable_2="P_Bl_Na"/>
<map_variables variable_1="z" variable_2="z_Na"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="K_b_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_K_b"/>
<map_variables variable_1="psi" variable_2="V_b"/>
<map_variables variable_1="I_D" variable_2="I_D_Bl_K"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_K"/>
</connection>
<connection>
<map_components component_1="K_b_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_K_c"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_K"/>
</connection>
<connection>
<map_components component_1="K_b_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Basolateral"/>
<map_variables variable_1="P" variable_2="P_Bl_K"/>
<map_variables variable_1="z" variable_2="z_K"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="Cl_b_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_Cl_b"/>
<map_variables variable_1="psi" variable_2="V_b"/>
<map_variables variable_1="I_D" variable_2="I_D_Bl_Cl"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_Cl"/>
</connection>
<connection>
<map_components component_1="Cl_b_Diffusion" component_2="Epithelial_Cell"/>
<map_variables variable_1="q_o" variable_2="q_Cl_c"/>
<map_variables variable_1="J_D" variable_2="J_D_Bl_Cl"/>
</connection>
<connection>
<map_components component_1="Cl_b_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Basolateral"/>
<map_variables variable_1="P" variable_2="P_Bl_Cl"/>
<map_variables variable_1="z" variable_2="z_Cl"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<!-- Mapping Paracellular Diffusion-->
<connection>
<map_components component_1="Na_P_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_Na_a"/>
<map_variables variable_1="I_D" variable_2="I_D_P_Na"/>
<map_variables variable_1="psi_i" variable_2="V_a"/>
</connection>
<connection>
<map_components component_1="K_P_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_K_a"/>
<map_variables variable_1="I_D" variable_2="I_D_P_K"/>
<map_variables variable_1="psi_i" variable_2="V_a"/>
</connection>
<connection>
<map_components component_1="Cl_P_Diffusion" component_2="Apical_Membrane"/>
<map_variables variable_1="q_i" variable_2="q_Cl_a"/>
<map_variables variable_1="I_D" variable_2="I_D_P_Cl"/>
<map_variables variable_1="psi_i" variable_2="V_a"/>
</connection>
<connection>
<map_components component_1="Na_P_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_o" variable_2="q_Na_b"/>
<map_variables variable_1="I_D" variable_2="I_D_P_Na"/>
<map_variables variable_1="psi_o" variable_2="V_b"/>
</connection>
<connection>
<map_components component_1="K_P_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_o" variable_2="q_K_b"/>
<map_variables variable_1="I_D" variable_2="I_D_P_K"/>
<map_variables variable_1="psi_o" variable_2="V_b"/>
</connection>
<connection>
<map_components component_1="Cl_P_Diffusion" component_2="Basolateral_Membrane"/>
<map_variables variable_1="q_o" variable_2="q_Cl_b"/>
<map_variables variable_1="I_D" variable_2="I_D_P_Cl"/>
<map_variables variable_1="psi_o" variable_2="V_b"/>
</connection>
<connection>
<map_components component_1="Na_P_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_P_Na"/>
<map_variables variable_1="z" variable_2="z_Na"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="K_P_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_P_K"/>
<map_variables variable_1="z" variable_2="z_K"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<connection>
<map_components component_1="Cl_P_Diffusion" component_2="Parameters"/>
<map_variables variable_1="Area" variable_2="A_Apical"/>
<map_variables variable_1="P" variable_2="P_P_Cl"/>
<map_variables variable_1="z" variable_2="z_Cl"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
<!-- Mapping Environment-->
<connection>
<map_components component_1="environment" component_2="Apical_Membrane"/>
<map_variables variable_1="time" variable_2="t"/>
</connection>
<connection>
<map_components component_1="environment" component_2="Epithelial_Cell"/>
<map_variables variable_1="time" variable_2="t"/>
</connection>
<connection>
<map_components component_1="environment" component_2="Basolateral_Membrane"/>
<map_variables variable_1="time" variable_2="t"/>
</connection>
<connection>
<map_components component_1="environment" component_2="Blood"/>
<map_variables variable_1="time" variable_2="t"/>
</connection>
</model>
