- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-11-05 15:06:23+13:00
- Desc:
- Updated Version 01.11.2018
- Permanent Source URI:
- https://models.cellml.org/workspace/572/rawfile/4a44b35cea4373453a4b105aa1f398b98f53735c/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="0.047" name="Na_i" public_interface="out" units="M"/>
<!--var Na_m: M {pub: in};
var Na_s: M {pub: in};-->
<variable initial_value="0.003" name="glucose_i" public_interface="out" units="M"/>
<variable initial_value="0.129" name="K_i" public_interface="out" units="M"/>
<variable initial_value="6e-5" name="Ca_i" public_interface="out" units="M"/>
<variable initial_value="0.057" name="Cl_i" public_interface="out" units="M"/>
<variable name="HCO3_i" public_interface="out" units="M"/>
<variable name="H_int" public_interface="out" units="M"/>
<variable initial_value="0.003" name="HCO3_m" public_interface="out" units="M"/>
<variable initial_value="0.041" name="HCO3_s" public_interface="out" units="M"/>
<variable name="H_Ext" public_interface="out" units="M"/>
<variable name="H_s" 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"/>
<!--var J_NaCl: umol_per_s {pub: in};-->
<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"/>
<!-- var J_CFTR_HCO3: umol_per_s {pub: in};-->
<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"/>
<!-- var J_buf_C: M_per_second {pub: in};
var J_buf_A: M_per_second {pub: in};-->
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable initial_value="7.2" name="pH_int" public_interface="out" units="per_second"/>
<variable initial_value="7.2" name="pH_Ext" public_interface="out" units="per_second"/>
<variable initial_value="7.2" name="pH_s" public_interface="out" units="per_second"/>
<variable initial_value="1680000" name="rho" public_interface="out" units="per_meter"/>
<variable name="beta" public_interface="out" units="M"/>
<variable initial_value="6.3" 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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2.3</cn>
<ci>HCO3_i</ci>
</apply>
</apply>
<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>
<minus/>
<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>
<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/>
<apply>
<minus/>
<ci>theta_3</ci>
</apply>
<ci>J_NHE3_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>
<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>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>
<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>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_CFTR</ci>
</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_int</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>H_int</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_int</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>HCO3_i</ci>
<apply>
<times/>
<ci>s</ci>
<ci>P_CO2</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_int</ci>
<ci>p_K</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_Ext</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_Ext</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_s</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_s</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>
