Location: Na+/Glucose Transporter @ 89cd53399e44 / NaK.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2018-08-02 05:37:03+12:00
Desc:
fixing diffusion
Permanent Source URI:
http://models.cellml.org/workspace/436/rawfile/89cd53399e44e02d8db73780f55d1b1c8b85fe85/NaK.cellml

<?xml version='1.0'?>
<model name="NaK_Pump" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="NaK_Pump">
        <variable name="q_K_b" public_interface="in" units="M"/>
        <variable name="q_Na_c" public_interface="in" units="M"/>
        <variable name="V_b" public_interface="in" units="volt"/>
        <variable initial_value="5000000" name="n_NaK" units="dimensionless"/>
        <variable initial_value="0.01" name="K_q_Na_c_half" units="M"/>
        <variable initial_value="0.0015" name="K_q_K_b_half" units="M"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="V_NaK" public_interface="out" units="per_s"/>
        <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"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>V_NaK</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <cn cellml:units="per_V4_s" type="e-notation">5.46<sep/>+4</cn>
                                <apply>
                                    <power/>
                                    <ci>V_b</ci>
                                    <cn cellml:units="dimensionless">4</cn>
                                </apply>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="per_V3_s" type="e-notation">2.43<sep/>+2</cn>
                                <apply>
                                    <power/>
                                    <ci>V_b</ci>
                                    <cn cellml:units="dimensionless">3</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="per_V2_s" type="e-notation">2<sep/>+3</cn>
                            <apply>
                                <power/>
                                <ci>V_b</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="per_V_s">160</cn>
                        <ci>V_b</ci>
                    </apply>
                    <cn cellml:units="per_s">51</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NaK</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>V_NaK</ci>
                                        <ci>n_NaK</ci>
                                    </apply>
                                    <cn cellml:units="per_umol" type="e-notation">6.023<sep/>+17</cn>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>q_Na_c</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                                <cn cellml:units="dimensionless">1.13</cn>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <power/>
                                    <ci>K_q_Na_c_half</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>q_Na_c</ci>
                                    <cn cellml:units="dimensionless">1.36</cn>
                                </apply>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.3</cn>
                        <ci>q_K_b</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_q_K_b_half</ci>
                        <ci>q_K_b</ci>
                    </apply>
                </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>
            <apply>
                <eq/>
                <ci>I_Na_NaK</ci>
                <apply>
                    <times/>
                    <ci>J_Na_NaK</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_K_NaK</ci>
                <apply>
                    <times/>
                    <ci>J_K_NaK</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>