Location: Na+/Glucose Transporter @ 89cd53399e44 / GLUT2.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/GLUT2.cellml

<?xml version='1.0'?>
<model name="GLUT2" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="GLUT2_Apical">
        <variable name="q_Gl_c" public_interface="in" units="M"/>
        <variable name="q_Gl_a" public_interface="in" units="M"/>
        <variable name="v_cell" public_interface="in" units="m3"/>
        <variable initial_value="10" name="K_12" public_interface="out" units="per_M_s"/>
        <variable initial_value="12.6" name="K_21" public_interface="out" units="per_s"/>
        <variable initial_value="500" name="K_23" public_interface="out" units="per_s"/>
        <variable initial_value="60" name="K_32" public_interface="out" units="per_s"/>
        <variable initial_value="12.6" name="K_34" public_interface="out" units="per_s"/>
        <variable initial_value="1" name="K_43" public_interface="out" units="per_M_s"/>
        <variable initial_value="0.8" name="K_41" public_interface="out" units="per_s"/>
        <variable initial_value="12" name="K_14" public_interface="out" units="per_s"/>
        <variable name="K_S" public_interface="out" units="M"/>
        <variable name="J_A_GLUT" public_interface="out" units="umol_per_s"/>
        <variable name="C_tot" public_interface="out" units="mole"/>
        <variable initial_value="90000000" name="n_GLUT" public_interface="out" units="dimensionless"/>
        <variable name="D" public_interface="out" units="per_s"/>
        <variable name="J_A_GLUT1" public_interface="out" units="umol_per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>C_tot</ci>
                <apply>
                    <divide/>
                    <ci>n_GLUT</ci>
                    <cn cellml:units="per_mole" type="e-notation">6.022<sep/>+23</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>K_S</ci>
                <apply>
                    <divide/>
                    <ci>K_21</ci>
                    <ci>K_12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_A_GLUT</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless" type="e-notation">1<sep/>+6</cn>
                            <ci>C_tot</ci>
                        </apply>
                        <ci>D</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_23</ci>
                                <ci>K_41</ci>
                                <ci>q_Gl_a</ci>
                            </apply>
                            <ci>K_S</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_32</ci>
                                <ci>K_14</ci>
                                <ci>q_Gl_c</ci>
                            </apply>
                            <ci>K_S</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_A_GLUT1</ci>
                <apply>
                    <times/>
                    <ci>J_A_GLUT</ci>
                    <cn cellml:units="dimensionless" type="e-notation">36<sep/>+8</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>D</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <divide/>
                                <ci>q_Gl_a</ci>
                                <ci>K_S</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>K_32</ci>
                                    <ci>q_Gl_c</ci>
                                </apply>
                                <ci>K_S</ci>
                            </apply>
                            <ci>K_41</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <divide/>
                                <ci>q_Gl_c</ci>
                                <ci>K_S</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>K_23</ci>
                                    <ci>q_Gl_a</ci>
                                </apply>
                                <ci>K_S</ci>
                            </apply>
                            <ci>K_14</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="GLUT2">
        <variable name="q_Gl_c" public_interface="in" units="M"/>
        <variable name="q_Gl_b" public_interface="in" units="M"/>
        <variable name="v_cell" public_interface="in" units="m3"/>
        <variable initial_value="10" name="K_12" public_interface="out" units="per_M_s"/>
        <variable initial_value="12.6" name="K_21" public_interface="out" units="per_s"/>
        <variable initial_value="500" name="K_23" public_interface="out" units="per_s"/>
        <variable initial_value="60" name="K_32" public_interface="out" units="per_s"/>
        <variable initial_value="12.6" name="K_34" public_interface="out" units="per_s"/>
        <variable initial_value="1" name="K_43" public_interface="out" units="per_M_s"/>
        <variable initial_value="0.8" name="K_41" public_interface="out" units="per_s"/>
        <variable initial_value="12" name="K_14" public_interface="out" units="per_s"/>
        <variable name="K_S" public_interface="out" units="M"/>
        <variable name="J_GLUT" public_interface="out" units="umol_per_s"/>
        <variable name="C_tot" public_interface="out" units="mole"/>
        <variable initial_value="15000000" name="n_GLUT" public_interface="out" units="dimensionless"/>
        <variable name="D" public_interface="out" units="per_s"/>
        <variable name="J_GLUT1" public_interface="out" units="umol_per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>C_tot</ci>
                <apply>
                    <divide/>
                    <ci>n_GLUT</ci>
                    <cn cellml:units="per_mol" type="e-notation">6.022<sep/>+23</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>K_S</ci>
                <apply>
                    <divide/>
                    <ci>K_21</ci>
                    <ci>K_12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_GLUT</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless" type="e-notation">1<sep/>+6</cn>
                            <ci>C_tot</ci>
                        </apply>
                        <ci>D</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_23</ci>
                                <ci>K_41</ci>
                                <ci>q_Gl_c</ci>
                            </apply>
                            <ci>K_S</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_32</ci>
                                <ci>K_14</ci>
                                <ci>q_Gl_b</ci>
                            </apply>
                            <ci>K_S</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_GLUT1</ci>
                <apply>
                    <times/>
                    <ci>J_GLUT</ci>
                    <cn cellml:units="dimensionless" type="e-notation">36<sep/>+8</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>D</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <divide/>
                                <ci>q_Gl_c</ci>
                                <ci>K_S</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>K_32</ci>
                                    <ci>q_Gl_b</ci>
                                </apply>
                                <ci>K_S</ci>
                            </apply>
                            <ci>K_41</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <divide/>
                                <ci>q_Gl_b</ci>
                                <ci>K_S</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>K_23</ci>
                                    <ci>q_Gl_c</ci>
                                </apply>
                                <ci>K_S</ci>
                            </apply>
                            <ci>K_14</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>