Location: SLC transporters @ b7ec0e1728a7 / Facilitated transporter / GLUT2_kinetic.cellml

Author:

Weiwei Ai <wai484@aucklanduni.ac.nz>

Date:

2024-05-27 15:41:10+12:00

Desc:

Update readme file

Permanent Source URI:

https://models.physiomeproject.org/workspace/b65/rawfile/b7ec0e1728a7d93333c64719ad8e2ef696837d3f/Facilitated transporter/GLUT2_kinetic.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="GLUT2_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>
    <units name="per_s">
        <unit exponent="-1" units="second"/>
    </units>
    <units name="per_s_mM">
        <unit exponent="-1" units="second"/>
        <unit exponent="-1" units="mM"/>
    </units>
    <component name="main">
        <variable name="t" units="second"/>
        <variable initial_value="1.64" name="K_io_e" units="mM"/>
        <variable name="K_io_math" units="mM"/>
        <variable initial_value="0.0713" name="v_io_emax" units="mM_per_s"/>
        <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 initial_value="0.145" name="K_oi_e" units="mM"/>
        <variable name="K_oi_math" units="mM"/>
        <variable initial_value="0.00548" name="v_oi_emax" units="mM_per_s"/>
        <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 initial_value="1e-8" name="glu" units="mM"/>
        <variable initial_value="1113" name="c" units="per_s"/>
        <variable initial_value="90.3" name="d" units="per_s"/>
        <variable initial_value="12.1" name="g" units="per_s"/>
        <variable initial_value="0.726" name="h" units="per_s"/>
        <variable initial_value="2000" name="a" units="per_s_mM"/>
        <variable name="b" units="per_s"/>
        <variable initial_value="6.67e-3" name="GC" units="mM"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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="mM">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>
                    <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>
            </apply>
            <apply>
                <eq/>
                <ci>K_io_math</ci>
                <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>
            </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>