- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-04-11 10:36:00+12:00
- Desc:
- Some Modifications in Modular Version
- Permanent Source URI:
- https://models.fieldml.org/workspace/572/rawfile/9521df38ecbed3dc215d4f5501b9674b425087d3/Cell_Concentration.cellml
<?xml version='1.0'?>
<model name="Cell_Concentration" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<component name="Cell_concentration">
<variable initial_value="47e-3" name="q_Na_i" public_interface="out" units="M"/>
<variable initial_value="11e-3" name="q_glucose_i" public_interface="out" units="M"/>
<variable initial_value="129e-3" name="q_K_i" public_interface="out" units="M"/>
<variable initial_value="60e-6" name="q_Ca_i" public_interface="out" units="M"/>
<variable initial_value="57e-3" name="q_Cl_i" public_interface="out" units="M"/>
<variable name="q_HCO3_i" public_interface="out" units="M"/>
<variable name="q_H_i" public_interface="out" units="M"/>
<variable name="V_cell" public_interface="in" units="m3"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<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_ENaC" public_interface="in" units="umol_per_s"/>
<variable name="J_NaKCC" 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="time" private_interface="out" public_interface="in" units="second"/>
<variable initial_value="7" name="pH_i" public_interface="out" units="per_second"/>
<variable initial_value="1.68e6" name="rho" public_interface="out" units="per_meter"/>
<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="0.03e-3" name="s" public_interface="out" units="dimensionless"/>
<!--theta is only a coefficient and it has a variable of 0 and 1 in order to turn on/off the channel -->
<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"/>
<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_i</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_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>
<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_NaKCC</ci>
</apply>
<apply>
<times/>
<ci>theta_19</ci>
<ci>J_NBC_Na</ci>
</apply>
<apply>
<times/>
<ci>theta_3</ci>
<ci>J_NHE3_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_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>
<plus/>
<apply>
<times/>
<ci>theta_26</ci>
<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>
<ci>J_GLUT</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_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>
<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_NaKCC</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>time</ci>
</bvar>
<ci>q_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>
<apply>
<minus/>
<ci>J_CFTR</ci>
</apply>
</apply>
<apply>
<times/>
<ci>theta_18</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>J_NaKCC</ci>
</apply>
<apply>
<times/>
<ci>theta_14</ci>
<ci>J_AE1_Cl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>pH_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="m3_mole_per_litre_per_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_i</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_HCO3_i</ci>
<apply>
<times/>
<ci>s</ci>
<ci>P_CO2</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_i</ci>
<ci>p_K</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>
