Location: Glucose Uptake in Enterocyte @ a8753356fe63 / SGLT1_flux.cellml

Author:
Nima Afshar <nafs080@aucklanduni.ac.nz>
Date:
2019-12-11 14:59:00+13:00
Desc:
Generated from Afshar vs Thorsen.cellml
Permanent Source URI:
https://models.fieldml.org/workspace/572/rawfile/a8753356fe63c3fc41745026412584fccea0ae98/SGLT1_flux.cellml

<?xml version='1.0'?>
<!--Link in Exposure : https://models.physiomeproject.org/exposure/4f0e5558031705df771326fb9bd90c28
 Original Paper: Xing-Zhen Chen, Michael J Coady, Francis Jackson, Alfred Berteloot, and Jean-Yves Lapointe. Thermodynamic determination of the Na+: glucose coupling ratio for the human sglt1 cotransporter.        -->
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        <variable name="beta" public_interface="out" units="M2"/>
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        <variable name="phi" public_interface="out" units="M_per_second"/>
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        <variable name="F" public_interface="in" units="C_per_mol"/>
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            </apply>
            <apply>
                <eq/>
                <ci>gamma</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>lambda</ci>
                    </apply>
                    <ci>k_16</ci>
                    <ci>k_21</ci>
                    <ci>k_65</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_54</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_34</ci>
                            <ci>k_45</ci>
                            <ci>k_52</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_32</ci>
                            <ci>k_45</ci>
                            <ci>k_52</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_52</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>phi</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>lambda</ci>
                    </apply>
                    <ci>ks_12</ci>
                    <ci>k_56</ci>
                    <ci>k_61</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k_25</ci>
                            <ci>k_34</ci>
                            <ci>k_45</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_25</ci>
                            <ci>k_32</ci>
                            <ci>k_45</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_25</ci>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>epsilon</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>lambda</ci>
                    </apply>
                    <ci>ks_12</ci>
                    <ci>k0_23</ci>
                    <ci>k_34</ci>
                    <ci>k_45</ci>
                    <ci>k_56</ci>
                    <ci>k_61</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_Na_SGLT</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                                <ci>n_SGLT</ci>
                            </apply>
                            <cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>epsilon</ci>
                                <apply>
                                    <power/>
                                    <ci>Na_m</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                                <ci>glucose_m</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>phi</ci>
                                <apply>
                                    <power/>
                                    <ci>Na_m</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <ci>gamma</ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>alpha</ci>
                        <apply>
                            <times/>
                            <ci>beta</ci>
                            <ci>glucose_m</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>chi</ci>
                            <apply>
                                <power/>
                                <ci>Na_m</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <apply>
                                <power/>
                                <ci>Na_m</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <ci>glucose_m</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_Na_SGLT</ci>
                <apply>
                    <times/>
                    <ci>J_Na_SGLT</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_Gl_SGLT</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>J_Na_SGLT</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>