Location: Glucose Uptake in Enterocyte @ 6066854b2dce / NaK_flux.cellml

Author:

Nima <nafs080@aucklanduni.ac.nz>

Date:

2019-02-28 09:58:33+13:00

Desc:

Modular version of Glucose uptake Model

Permanent Source URI:

https://models.physiomeproject.org/workspace/572/rawfile/6066854b2dce50dac76167b409bc51ca81329384/NaK_flux.cellml

<?xml version='1.0'?>
<model name="NaK_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="NaK_channel">
        <!--var time: second {pub: in};-->
        <variable name="v_sc" public_interface="in" units="volt"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="K_s" public_interface="in" units="M"/>
        <variable name="Na_i" public_interface="in" units="M"/>
        <variable name="TO_NaK" public_interface="out" units="per_second"/>
        <variable initial_value="5000000" name="n_NaK" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.01" name="K_Na_i_half" public_interface="out" units="M"/>
        <variable initial_value="0.0015" name="K_K_s_half" public_interface="out" units="M"/>
        <variable name="I_Na_NaK" public_interface="out" units="uA"/>
        <variable name="I_K_NaK" public_interface="out" units="uA"/>
        <variable name="J_NaK" public_interface="out" units="umol_per_s"/>
        <variable name="J_Na_NaK" public_interface="out" units="umol_per_s"/>
        <variable name="J_K_NaK" public_interface="out" units="umol_per_s"/>
        <!--var J_K_NaK: umol_per_s {pub: out};-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>I_K_NaK</ci>
                <apply>
                    <times/>
                    <ci>J_K_NaK</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_Na_NaK</ci>
                <apply>
                    <times/>
                    <ci>J_Na_NaK</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NaK</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>TO_NaK</ci>
                                        <ci>n_NaK</ci>
                                    </apply>
                                    <cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>Na_i</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                                <cn cellml:units="dimensionless">1.13</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <power/>
                                    <ci>K_Na_i_half</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>Na_i</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.3</cn>
                        <ci>K_s</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_K_s_half</ci>
                        <ci>K_s</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>TO_NaK</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_volt4_per_second" type="e-notation">5.46<sep/>+4</cn>
                                <apply>
                                    <power/>
                                    <ci>v_sc</ci>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="per_volt3_per_second" type="e-notation">2.43<sep/>+2</cn>
                                <apply>
                                    <power/>
                                    <ci>v_sc</ci>
                                    <cn cellml:units="dimensionless">3</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="per_volt2_per_second" type="e-notation">2<sep/>+3</cn>
                            <apply>
                                <power/>
                                <ci>v_sc</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="per_volt_per_second">160</cn>
                        <ci>v_sc</ci>
                    </apply>
                    <cn cellml:units="per_second">51</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_Na_NaK</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>J_NaK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_K_NaK</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>J_NaK</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>