Location: SLC transporters @ 57b78f0511ef / Facilitated transporter / GLUT1_kinetic.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-03-25 13:29:39+13:00
Desc:
Add params_BG_fit.cellml to capture the parameter constraints based on kinetic data
Permanent Source URI:
https://models.physiomeproject.org/workspace/b65/rawfile/57b78f0511ef662b78925ad4f6e35f856fb980b7/Facilitated transporter/GLUT1_kinetic.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="GLUT1_kinetic" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <!-- Facilitated diffusion -->
    <units name="mM">
        <unit prefix="milli" units="mole"/>
        <unit exponent="-1" units="liter"/>
    </units>
    <units name="mM_per_s">
        <unit units="mM"/>
        <unit exponent="-1" units="second"/>
    </units>
    <component name="main">
        <variable name="t" units="second"/>
        <variable initial_value="1.64" name="K_io" units="mM"/>
        <variable initial_value="0.0713" name="V_io" units="mM_per_s"/>
        <variable name="v_io_ss" units="mM_per_s"/>
        <variable initial_value="0.145" name="K_oi" units="mM"/>
        <variable initial_value="0.00548" name="V_oi" units="mM_per_s"/>
        <variable name="v_oi_ss" units="mM_per_s"/>
        <variable initial_value="0" name="g" units="mM"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>g</ci>
                </apply>
                <cn cellml:units="mM_per_s">1</cn>
            </apply>
            <apply>
                <eq/>
                <ci>v_io_ss</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>V_io</ci>
                        <ci>g</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_io</ci>
                        <ci>g</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_oi_ss</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>V_oi</ci>
                        <ci>g</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_oi</ci>
                        <ci>g</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>