Location: SLC transporters @ d36dca3e6ed8 / Facilitated transporter / CellMLV2 / GLUT1_kinetic.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-04-08 18:20:16+12:00
Desc:
clean up; correct the cell volume to 0.09 pL; remove the param convertion equations in cellml; use python to do the conversion;
Permanent Source URI:
https://models.physiomeproject.org/workspace/b65/rawfile/d36dca3e6ed80f08a478e14a9be7695786950d7e/Facilitated transporter/CellMLV2/GLUT1_kinetic.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="GLUT1_kinetic">
  <units name="mM">
    <unit prefix="milli" units="mole"/>
    <unit exponent="-1" units="litre"/>
  </units>
  <units name="mM_per_s">
    <unit units="mM"/>
    <unit exponent="-1" units="second"/>
  </units>
  <units name="per_s">
    <unit exponent="-1" units="second"/>
  </units>
  <component name="main">
    <variable name="t" units="second"/>
    <variable name="K_io_e" units="mM" initial_value="1.64"/>
    <variable name="K_io_math" units="mM"/>
    <variable name="v_io_emax" units="mM_per_s" initial_value="0.0713"/>
    <variable name="v_io_max" units="mM_per_s"/>
    <variable name="v_io_ss_e" units="mM_per_s"/>
    <variable name="v_io_ss" units="mM_per_s"/>
    <variable name="K_oi_e" units="mM" initial_value="0.145"/>
    <variable name="K_oi_math" units="mM"/>
    <variable name="v_oi_emax" units="mM_per_s" initial_value="0.00548"/>
    <variable name="v_oi_max" units="mM_per_s"/>
    <variable name="v_oi_ss_e" units="mM_per_s"/>
    <variable name="v_oi_ss" units="mM_per_s"/>
    <variable name="glu" units="mM" initial_value="1e-8"/>
    <variable name="c" units="per_s" initial_value="1113"/>
    <variable name="d" units="per_s" initial_value="90.3"/>
    <variable name="g" units="per_s" initial_value="12.1"/>
    <variable name="h" units="per_s" initial_value="0.726"/>
    <variable name="a" units="per_s" initial_value="2000"/>
    <variable name="b" units="per_s"/>
    <variable name="GC" units="mM" initial_value="6.67e-3"/>
    <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>glu</ci>
        </apply>
        <cn cellml:units="mM_per_s">1</cn>
      </apply>
      <apply>
        <eq/>
        <ci>b</ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless">9.5</cn>
          <ci>a</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_io_ss</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>v_io_max</ci>
            <ci>glu</ci>
          </apply>
          <apply>
            <plus/>
            <ci>K_io_math</ci>
            <ci>glu</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_oi_ss</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>v_oi_max</ci>
            <ci>glu</ci>
          </apply>
          <apply>
            <plus/>
            <ci>K_oi_math</ci>
            <ci>glu</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>K_oi_math</ci>
        <apply>
          <times/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <apply>
                <plus/>
                <ci>g</ci>
                <ci>h</ci>
              </apply>
              <ci>b</ci>
            </apply>
            <apply>
              <times/>
              <ci>a</ci>
              <apply>
                <plus/>
                <ci>h</ci>
                <ci>c</ci>
              </apply>
            </apply>
          </apply>
          <cn cellml:units="mM">1</cn>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>K_io_math</ci>
        <apply>
          <times/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>b</ci>
              <ci>d</ci>
              <ci>g</ci>
              <apply>
                <plus/>
                <ci>g</ci>
                <ci>h</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>a</ci>
              <ci>h</ci>
              <ci>c</ci>
              <apply>
                <plus/>
                <ci>g</ci>
                <ci>d</ci>
              </apply>
            </apply>
          </apply>
          <cn cellml:units="mM">1</cn>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_io_max</ci>
        <apply>
          <divide/>
          <ci>GC</ci>
          <apply>
            <plus/>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless">1</cn>
              <ci>d</ci>
            </apply>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless">1</cn>
              <ci>g</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_oi_max</ci>
        <apply>
          <divide/>
          <ci>GC</ci>
          <apply>
            <plus/>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless">1</cn>
              <ci>c</ci>
            </apply>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless">1</cn>
              <ci>h</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_io_ss_e</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>v_io_emax</ci>
            <ci>glu</ci>
          </apply>
          <apply>
            <plus/>
            <ci>K_io_e</ci>
            <ci>glu</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_oi_ss_e</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>v_oi_emax</ci>
            <ci>glu</ci>
          </apply>
          <apply>
            <plus/>
            <ci>K_oi_e</ci>
            <ci>glu</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
</model>