Location: Modular version of Glucose uptake (including water transport) @ e82595139c2e / SGLT1_flux.cellml

Author:
Nima <nafs080@aucklanduni.ac.nz>
Date:
2019-07-31 13:22:01+12:00
Desc:
Updated values
Permanent Source URI:
https://models.cellml.org/workspace/58c/rawfile/e82595139c2e39aec218cbbf56fc10782a4ced52/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.        -->
<model name="SGLT1_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="SGLT1">
        <variable name="epsilon" public_interface="out" units="per_second"/>
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        <variable name="alpha" public_interface="out" units="M3"/>
        <variable name="beta" public_interface="out" units="M2"/>
        <variable name="gamma" public_interface="out" units="M3_per_second"/>
        <variable name="phi" public_interface="out" units="M_per_second"/>
        <!--var k_12: per_second {pub: in};-->
        <variable name="k_21" public_interface="in" units="per_second"/>
        <!--var k_23: per_second {pub: in};-->
        <variable name="k_32" public_interface="in" units="per_second"/>
        <variable name="k_34" public_interface="in" units="per_second"/>
        <variable name="k_43" public_interface="in" units="per_second"/>
        <variable name="k_45" public_interface="in" units="per_second"/>
        <variable name="k_54" public_interface="in" units="per_second"/>
        <variable name="k_25" public_interface="in" units="per_second"/>
        <variable name="k_52" public_interface="in" units="per_second"/>
        <variable name="k_56" public_interface="in" units="per_second"/>
        <variable name="k_65" public_interface="in" units="per_second"/>
        <variable name="k_61" public_interface="in" units="per_second"/>
        <variable name="k_16" public_interface="in" units="per_second"/>
        <variable name="ks_12" public_interface="in" units="per_M2_per_second"/>
        <variable name="k0_23" public_interface="in" units="per_M_per_second"/>
        <!--var C_T: umol {pub: in};-->
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="Na_m" public_interface="in" units="M"/>
        <variable name="glucose_m" public_interface="in" units="M"/>
        <variable initial_value="40000000" name="n_SGLT" public_interface="out" units="dimensionless"/>
        <variable name="J_Na_SGLT" public_interface="out" units="umol_per_s"/>
        <variable name="I_Na_SGLT" public_interface="out" units="uA"/>
        <variable name="J_Gl_SGLT" public_interface="out" units="umol_per_s"/>
        <!--var I_Gl_SGLT: uA {pub: out};-->
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                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_34</ci>
                            <ci>k_45</ci>
                            <ci>k_56</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_25</ci>
                            <ci>k_32</ci>
                            <ci>k_45</ci>
                            <ci>k_56</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_32</ci>
                            <ci>k_45</ci>
                            <ci>k_56</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_25</ci>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_56</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_56</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_54</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_34</ci>
                            <ci>k_45</ci>
                            <ci>k_52</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_32</ci>
                            <ci>k_45</ci>
                            <ci>k_52</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_16</ci>
                            <ci>k_21</ci>
                            <ci>k_32</ci>
                            <ci>k_43</ci>
                            <ci>k_52</ci>
                        </apply>
                    </apply>
                </apply>
            </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>