Location: Na+/Glucose Transporter @ 25d469e5a523 / libBG.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2017-01-11 10:36:09+13:00
Desc:
Merge branch 'master' of https://models.physiomeproject.org/workspace/436
Permanent Source URI:
https://models.physiomeproject.org/workspace/436/rawfile/25d469e5a52313d22794ccfc8dd9e72c24de7569/libBG.cellml

<?xml version='1.0'?>
<model name="libBG" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <!-- Storage components-->
    <!-- C component -->
    <component name="C">
        <!-- Numerical parameters-->
        <variable name="RT" public_interface="in" units="J_per_mol"/>
        <variable name="K" public_interface="in" units="per_mol"/>
        <!-- Internal variables
 State q = q_0 + q_1 where q_0 is external signal and q_1 is integrated.-->
        <variable name="q" public_interface="out" units="mole"/>
        <variable initial_value="0" name="q_1" units="mole"/>
        <variable name="q_0" public_interface="in" units="mole"/>
        <!-- Time-->
        <variable name="t" public_interface="in" units="second"/>
        <!-- Port-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_1</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>h_1</ci>
                    <ci>v_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q</ci>
                <apply>
                    <plus/>
                    <ci>q_0</ci>
                    <ci>q_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K</ci>
                            <ci>q</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <!-- Dissipative components-->
    <!-- R component -->
    <component name="R">
        <!-- Numerical parameters-->
        <variable name="R" public_interface="in" units="Js_per_mol2"/>
        <!-- Port-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>h_1</ci>
                    <ci>v_1</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!-- Mass-action reaction component-->
    <component name="Re">
        <!-- Numerical parameter-->
        <variable name="RT" public_interface="in" units="J_per_mol"/>
        <variable name="kappa" public_interface="in" units="mol_per_s"/>
        <!-- Ports (flow is common)-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <ci>kappa</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_1</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <ci>u_1</ci>
                                    <ci>RT</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <ci>u_2</ci>
                                    <ci>RT</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
        </math>
    </component>
    <!-- Two versions of TF due to causality issues with CellML 1.1
 TFe has potential imposed on port 1-->
    <component name="TFe">
        <!-- Numerical parameter-->
        <variable name="rho" public_interface="in" units="dimensionless"/>
        <!-- Ports potential on port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <apply>
                    <divide/>
                    <ci>u_1</ci>
                    <ci>rho</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <divide/>
                    <ci>v_2</ci>
                    <ci>rho</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!-- TFf has flow imposed on port 1-->
    <component name="TFf">
        <!-- Numerical parameter-->
        <variable name="rho" public_interface="in" units="dimensionless"/>
        <!-- Ports potential on port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <ci>rho</ci>
                    <ci>u_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_2</ci>
                <apply>
                    <times/>
                    <ci>rho</ci>
                    <ci>v_1</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!-- 0-junctions-->
    <component name="J0_2">
        <!-- Port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- All u variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <ci>u_1</ci>
            </apply>
            <!-- All v variables sum to zero-->
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <ci>h_2</ci>
                    <ci>v_2</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J0_3">
        <!-- Port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="out" units="J_per_mol"/>
        <variable name="v_3" public_interface="in" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- All u variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_3</ci>
                <ci>u_1</ci>
            </apply>
            <!-- All v variables sum to zero-->
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>v_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>v_3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J0_4">
        <!-- Port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="out" units="J_per_mol"/>
        <variable name="v_3" public_interface="in" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="out" units="J_per_mol"/>
        <variable name="v_4" public_interface="in" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- All u variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_3</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_4</ci>
                <ci>u_1</ci>
            </apply>
            <!-- All v variables sum to zero-->
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>v_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>v_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>v_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J0_5">
        <!-- Port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="out" units="J_per_mol"/>
        <variable name="v_3" public_interface="in" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="out" units="J_per_mol"/>
        <variable name="v_4" public_interface="in" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- Port 5-->
        <variable name="u_5" public_interface="out" units="J_per_mol"/>
        <variable name="v_5" public_interface="in" units="mol_per_s"/>
        <variable name="h_5" public_interface="in" units="dimensionless"/>
        <!-- All u variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_3</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_4</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_5</ci>
                <ci>u_1</ci>
            </apply>
            <!-- All v variables sum to zero-->
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>v_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>v_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>v_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_5</ci>
                            <ci>v_5</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J0_6">
        <!-- Port 1-->
        <variable name="u_1" public_interface="in" units="J_per_mol"/>
        <variable name="v_1" public_interface="out" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="out" units="J_per_mol"/>
        <variable name="v_2" public_interface="in" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="out" units="J_per_mol"/>
        <variable name="v_3" public_interface="in" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="out" units="J_per_mol"/>
        <variable name="v_4" public_interface="in" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- Port 5-->
        <variable name="u_5" public_interface="out" units="J_per_mol"/>
        <variable name="v_5" public_interface="in" units="mol_per_s"/>
        <variable name="h_5" public_interface="in" units="dimensionless"/>
        <!-- Port 6-->
        <variable name="u_6" public_interface="out" units="J_per_mol"/>
        <variable name="v_6" public_interface="in" units="mol_per_s"/>
        <variable name="h_6" public_interface="in" units="dimensionless"/>
        <!-- All u variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>u_2</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_3</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_4</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_5</ci>
                <ci>u_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>u_6</ci>
                <ci>u_1</ci>
            </apply>
            <!-- All v variables sum to zero-->
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>v_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>v_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>v_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_5</ci>
                            <ci>v_5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_6</ci>
                            <ci>v_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <!-- 1-junctions-->
    <component name="J1_2">
        <!-- Port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- All v variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
            <!-- All u variables sum to zero-->
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <ci>h_2</ci>
                    <ci>u_2</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J1_3">
        <!-- Port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="in" units="J_per_mol"/>
        <variable name="v_3" public_interface="out" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- All v variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_3</ci>
                <ci>v_1</ci>
            </apply>
            <!-- All u variables sum to zero-->
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>u_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>u_3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J1_4">
        <!-- Port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="in" units="J_per_mol"/>
        <variable name="v_3" public_interface="out" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="in" units="J_per_mol"/>
        <variable name="v_4" public_interface="out" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- All v variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_3</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_4</ci>
                <ci>v_1</ci>
            </apply>
            <!-- All u variables sum to zero-->
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>u_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>u_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>u_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J1_5">
        <!-- Port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="in" units="J_per_mol"/>
        <variable name="v_3" public_interface="out" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="in" units="J_per_mol"/>
        <variable name="v_4" public_interface="out" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- Port 5-->
        <variable name="u_5" public_interface="in" units="J_per_mol"/>
        <variable name="v_5" public_interface="out" units="mol_per_s"/>
        <variable name="h_5" public_interface="in" units="dimensionless"/>
        <!-- All v variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_3</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_4</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_5</ci>
                <ci>v_1</ci>
            </apply>
            <!-- All u variables sum to zero-->
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>u_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>u_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>u_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_5</ci>
                            <ci>u_5</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="J1_6">
        <!-- Port 1-->
        <variable name="u_1" public_interface="out" units="J_per_mol"/>
        <variable name="v_1" public_interface="in" units="mol_per_s"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <!-- Port 2-->
        <variable name="u_2" public_interface="in" units="J_per_mol"/>
        <variable name="v_2" public_interface="out" units="mol_per_s"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <!-- Port 3-->
        <variable name="u_3" public_interface="in" units="J_per_mol"/>
        <variable name="v_3" public_interface="out" units="mol_per_s"/>
        <variable name="h_3" public_interface="in" units="dimensionless"/>
        <!-- Port 4-->
        <variable name="u_4" public_interface="in" units="J_per_mol"/>
        <variable name="v_4" public_interface="out" units="mol_per_s"/>
        <variable name="h_4" public_interface="in" units="dimensionless"/>
        <!-- Port 5-->
        <variable name="u_5" public_interface="in" units="J_per_mol"/>
        <variable name="v_5" public_interface="out" units="mol_per_s"/>
        <variable name="h_5" public_interface="in" units="dimensionless"/>
        <!-- Port 6-->
        <variable name="u_6" public_interface="in" units="J_per_mol"/>
        <variable name="v_6" public_interface="out" units="mol_per_s"/>
        <variable name="h_6" public_interface="in" units="dimensionless"/>
        <!-- All v variables are the same-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_2</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_3</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_4</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_5</ci>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_6</ci>
                <ci>v_1</ci>
            </apply>
            <!-- All u variables sum to zero-->
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>h_2</ci>
                            <ci>u_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_3</ci>
                            <ci>u_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_4</ci>
                            <ci>u_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_5</ci>
                            <ci>u_5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>h_6</ci>
                            <ci>u_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>