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

Author:
Nima <nafs080@aucklanduni.ac.nz>
Date:
2019-07-31 13:22:01+12:00
Desc:
Updated values
Permanent Source URI:
https://models.fieldml.org/workspace/58c/rawfile/e82595139c2e39aec218cbbf56fc10782a4ced52/Basolateral_Concentrations.cellml

<?xml version='1.0'?>
<model name="Basolateral_Concentrations" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="Basolateral_concentrations">
        <variable initial_value="0.11" name="Cl_s" public_interface="out" units="M"/>
        <variable initial_value="0.006" name="K_s" public_interface="out" units="M"/>
        <variable initial_value="0.135" name="Na_s" public_interface="out" units="M"/>
        <!--var time: second {pub: out};-->
        <variable initial_value="0.004" name="glucose_s" public_interface="out" units="M"/>
        <variable initial_value="4e-16" name="Q_in" public_interface="out" units="m3_per_second"/>
        <variable name="Q_out" public_interface="out" units="m3_per_second"/>
        <variable initial_value="1e-16" name="v_B" public_interface="out" units="m3"/>
        <variable initial_value="0.005" name="glucose_in" public_interface="out" units="M"/>
        <variable initial_value="0.115" name="Cl_in" public_interface="out" units="M"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="J_GLUT" public_interface="in" units="umol_per_s"/>
        <variable initial_value="4000000000" name="Number" units="dimensionless"/>
        <variable initial_value="0.143" name="Na_in" public_interface="out" units="M"/>
        <variable name="J_Na_NaK" public_interface="in" units="umol_per_s"/>
        <variable name="J_NBC_Na" public_interface="in" units="umol_per_s"/>
        <variable name="J_NaKCC" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_Na" public_interface="in" units="umol_per_s"/>
        <variable initial_value="0.006" name="K_in" public_interface="out" units="M"/>
        <variable name="J_K_NaK" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_K" public_interface="in" units="umol_per_s"/>
        <variable name="J_KCNQ" public_interface="in" units="umol_per_s"/>
        <variable name="J_CLC2" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_Cl" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_Gl" public_interface="in" units="umol_per_s"/>
        <variable initial_value="1.8e-5" name="v_w1" public_interface="out" units="m3_per_mole"/>
        <variable name="J_w_B" public_interface="in" units="umol_per_s"/>
        <variable name="J_w_P" public_interface="in" units="umol_per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Q_out</ci>
                <apply>
                    <minus/>
                    <ci>Q_in</ci>
                    <apply>
                        <times/>
                        <cn cellml:units="umole_per_mole" type="e-notation">1<sep/>-6</cn>
                        <ci>v_w1</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <plus/>
                                <ci>J_w_P</ci>
                            </apply>
                            <ci>J_w_B</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>glucose_s</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>v_B</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>Q_in</ci>
                                <ci>glucose_in</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>Q_out</ci>
                                <ci>glucose_s</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                            <apply>
                                <plus/>
                                <ci>J_GLUT</ci>
                                <ci>J_D_P_Gl</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Na_s</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>v_B</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>Q_in</ci>
                                <ci>Na_in</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>Q_out</ci>
                                <ci>Na_s</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <times/>
                                            <cn cellml:units="dimensionless">1</cn>
                                            <ci>J_Na_NaK</ci>
                                        </apply>
                                        <apply>
                                            <times/>
                                            <cn cellml:units="dimensionless">1</cn>
                                            <ci>J_NBC_Na</ci>
                                        </apply>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <cn cellml:units="dimensionless">1</cn>
                                        <ci>J_NaKCC</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <ci>J_D_P_Na</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>K_s</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>v_B</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>Q_in</ci>
                                <ci>K_in</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>Q_out</ci>
                                <ci>K_s</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <times/>
                                            <apply>
                                                <minus/>
                                                <cn cellml:units="dimensionless">1</cn>
                                            </apply>
                                            <ci>J_K_NaK</ci>
                                        </apply>
                                        <apply>
                                            <times/>
                                            <cn cellml:units="dimensionless">1</cn>
                                            <ci>J_NaKCC</ci>
                                        </apply>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <cn cellml:units="dimensionless">1</cn>
                                        <ci>J_D_P_K</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <ci>J_KCNQ</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Cl_s</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>v_B</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>Q_in</ci>
                                <ci>Cl_in</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>Q_out</ci>
                                <ci>Cl_s</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                            <apply>
                                <plus/>
                                <apply>
                                    <minus/>
                                    <ci>J_CLC2</ci>
                                    <apply>
                                        <times/>
                                        <cn cellml:units="dimensionless">2</cn>
                                        <ci>J_NaKCC</ci>
                                    </apply>
                                </apply>
                                <ci>J_D_P_Cl</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>