Location: Intracellular pH regulation @ 920a714dbe07 / models / CellMLV2 / Boron_HCO3_BG_V3.cellml

Author:

Weiwei Ai <wai484@aucklanduni.ac.nz>

Date:

2024-02-27 17:21:53+13:00

Desc:

Add H buffering in the acid BG model

Permanent Source URI:

https://staging.physiomeproject.org/workspace/b61/rawfile/920a714dbe070a8ab1215d82e465d4aaa7216a0a/models/CellMLV2/Boron_HCO3_BG_V3.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="BG51">
  <units name="dim">
    <unit units="dimensionless"/>
  </units>
  <units name="per_s">
    <unit exponent="-1" units="second"/>
  </units>
  <units name="mol_per_s">
    <unit units="mole"/>
    <unit exponent="-1" units="second"/>
  </units>
  <units name="per_mol">
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="per_mol2">
    <unit exponent="-2" units="mole"/>
  </units>
  <units name="C_per_mol">
    <unit units="coulomb"/>
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="J_per_mol">
    <unit units="joule"/>
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="J_per_C">
    <unit units="joule"/>
    <unit exponent="-1" units="coulomb"/>
  </units>
  <component name="main">
    <variable name="F" units="C_per_mol" initial_value="9.64853321e4"/>
    <variable name="RT" units="J_per_mol" initial_value="2462.1911"/>
    <variable name="u_e_m" units="J_per_C" initial_value="-0.057"/>
    <variable name="epsilon" units="dim"/>
    <variable name="q_HCO3_i" units="mole" initial_value="0"/>
    <variable name="q_HCO3_o" units="mole" initial_value="60"/>
    <variable name="K_HCO3_o" units="per_mol" initial_value="1e-5"/>
    <variable name="K_HCO3_i" units="per_mol" initial_value="1e-5"/>
    <variable name="Q_HCO3_o" units="dim"/>
    <variable name="Q_HCO3_i" units="dim"/>
    <variable name="t" units="second"/>
    <variable name="v_HCO3_m" units="mol_per_s"/>
    <variable name="kappa_HCO3_m" units="mol_per_s" initial_value="10.01"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>epsilon</ci>
        <apply>
          <exp/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>F</ci>
              <ci>u_e_m</ci>
            </apply>
            <ci>RT</ci>
          </apply>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>Q_HCO3_o</ci>
        <apply>
          <times/>
          <ci>K_HCO3_o</ci>
          <ci>q_HCO3_o</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Q_HCO3_i</ci>
        <apply>
          <times/>
          <ci>K_HCO3_i</ci>
          <ci>q_HCO3_i</ci>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_HCO3_i</ci>
        </apply>
        <cn cellml:units="mol_per_s">0.5</cn>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>v_HCO3_m</ci>
        <apply>
          <times/>
          <ci>kappa_HCO3_m</ci>
          <apply>
            <minus/>
            <apply>
              <times/>
              <ci>Q_HCO3_o</ci>
              <ci>epsilon</ci>
            </apply>
            <ci>Q_HCO3_i</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
</model>