Location: Diabetes @ b9ec0d15f227 / BondGraph / InsulinBinding.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2018-06-01 19:16:28+12:00
Desc:
adding text to diagram
Permanent Source URI:
https://models.cellml.org/workspace/483/rawfile/b9ec0d15f227239f5ef68e08083c0e97d2a6266a/BondGraph/InsulinBinding.cellml

<?xml version='1.0'?>
<model name="InsulinBindingLevel" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="Units.cellml">
        <units name="per_mol" units_ref="per_mol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="J_per_mol_K" units_ref="J_per_mol_K"/>
        <units name="mol_per_s" units_ref="mol_per_s"/>
    </import>
    <component name="state">
        <variable initial_value="0.0" name="t" units="second"/>
        <!-- Parameters-->
        <variable initial_value="8.324" name="R" units="J_per_mol_K"/>
        <variable initial_value="300" name="T" units="kelvin"/>
        <variable initial_value="0.03781832672958991361437057321898" name="K_q1" units="per_mol"/>
        <variable initial_value="0.20655419999563508401727960913329" name="K_q2" units="per_mol"/>
        <variable initial_value="2.4943252381047456297931099512349" name="K_q3" units="per_mol"/>
        <variable initial_value="1.1665847641376448313261474962398" name="K_q4" units="per_mol"/>
        <variable initial_value="6.2920209735810257656545179406341" name="K_q5" units="per_mol"/>
        <variable initial_value="135.74505393527089281313886429079" name="K_q6" units="per_mol"/>
        <variable initial_value="0.053577537757884687193122677603898" name="K_q7" units="per_mol"/>
        <variable initial_value="0.838443657673754098787961331405" name="K_q8" units="per_mol"/>
        <variable initial_value="0.041951304656123445469772909667184" name="K_q9" units="per_mol"/>
        <variable initial_value="8.0469303243776859351223477360453" name="K_q10" units="per_mol"/>
        <variable initial_value="0.32870827678129609268129865385271" name="K_q11" units="per_mol"/>
        <variable initial_value="147257110.37578193240869635674704" name="K_q12" units="per_mol"/>
        <variable initial_value="0.022184975175281413643787301874773" name="K_q13" units="per_mol"/>
        <variable initial_value="81.393454351718475892655833918232" name="K_q14" units="per_mol"/>
        <variable initial_value="5.7225380418903459025816388165654" name="K_q15" units="per_mol"/>
        <variable initial_value="1.0" name="K_q16" units="per_mol"/>
        <variable initial_value="1.0" name="K_q17" units="per_mol"/>
        <variable initial_value="0.17597358917147458576574912568123" name="K_Re1" units="mol_per_s"/>
        <variable initial_value="0.010019720689559471311968164503074" name="K_Re2" units="mol_per_s"/>
        <variable initial_value="0.016109637788062614892713006502489" name="K_Re3" units="mol_per_s"/>
        <variable initial_value="0.00091726304956519786838100588044782" name="K_Re4" units="mol_per_s"/>
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        <variable initial_value="0.56575400287169092986939895929386" name="K_Re7" units="mol_per_s"/>
        <variable initial_value="0.052447377620895721426459306540026" name="K_Re8" units="mol_per_s"/>
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        <variable initial_value="0.004862055602517322791324849950562" name="K_Re10" units="mol_per_s"/>
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        <variable initial_value="0.13230030910112698013817688764331" name="K_Re12" units="mol_per_s"/>
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        <variable initial_value="0.000028922852446340741632317278401957" name="K_Re18" units="mol_per_s"/>
        <variable initial_value="731.32409710461237754733327115275" name="K_Re19" units="mol_per_s"/>
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        <variable initial_value="6.4796423769602822216484173448397" name="K_Re27" units="mol_per_s"/>
        <variable initial_value="1.0" name="K_Re28" units="mol_per_s"/>
        <!--        var K_Re29: mol_per_s {init: 1.0};-->
        <!-- State variables-->
        <variable initial_value="10" name="q1" units="mole"/>
        <variable initial_value="0.0" name="q2" units="mole"/>
        <variable initial_value="0.0" name="q3" units="mole"/>
        <variable initial_value="0.0" name="q4" units="mole"/>
        <variable initial_value="0.0" name="q5" units="mole"/>
        <variable initial_value="0.0" name="q6" units="mole"/>
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        <variable initial_value="10.0" name="q12" units="mole"/>
        <variable initial_value="0.0" name="q13" units="mole"/>
        <variable initial_value="0.0" name="q14" units="mole"/>
        <variable initial_value="0.0" name="q15" units="mole"/>
        <variable initial_value="0.0" name="q16" units="mole"/>
        <variable initial_value="0.0" name="q17" units="mole"/>
        <variable name="q" units="mole"/>
        <variable name="qx" units="mole"/>
        <variable name="qxx" units="mole"/>
        <variable name="qxxx" units="mole"/>
        <variable name="v_Re1" units="mol_per_s"/>
        <variable name="v_Re2" units="mol_per_s"/>
        <variable name="v_Re3" units="mol_per_s"/>
        <variable name="v_Re4" units="mol_per_s"/>
        <variable name="v_Re5" units="mol_per_s"/>
        <variable name="v_Re6" units="mol_per_s"/>
        <variable name="v_Re7" units="mol_per_s"/>
        <variable name="v_Re8" units="mol_per_s"/>
        <variable name="v_Re9" units="mol_per_s"/>
        <variable name="v_Re10" units="mol_per_s"/>
        <variable name="v_Re11" units="mol_per_s"/>
        <variable name="v_Re12" units="mol_per_s"/>
        <variable name="v_Re13" units="mol_per_s"/>
        <variable name="v_Re14" units="mol_per_s"/>
        <variable name="v_Re15" units="mol_per_s"/>
        <variable name="v_Re16" units="mol_per_s"/>
        <variable name="v_Re17" units="mol_per_s"/>
        <variable name="v_Re18" units="mol_per_s"/>
        <variable name="v_Re19" units="mol_per_s"/>
        <variable name="v_Re20" units="mol_per_s"/>
        <variable name="v_Re21" units="mol_per_s"/>
        <variable name="v_Re22" units="mol_per_s"/>
        <variable name="v_Re23" units="mol_per_s"/>
        <variable name="v_Re24" units="mol_per_s"/>
        <variable name="v_Re25" units="mol_per_s"/>
        <variable name="v_Re26" units="mol_per_s"/>
        <variable name="v_Re27" units="mol_per_s"/>
        <variable name="v_Re28" units="mol_per_s"/>
        <!--        var v_Re29: mol_per_s;-->
        <!-- Conservation laws-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
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                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q4</ci>
                            <ci>q4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q7</ci>
                            <ci>q7</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re8</ci>
                <apply>
                    <times/>
                    <ci>K_Re8</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q5</ci>
                            <ci>q5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q7</ci>
                            <ci>q7</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re9</ci>
                <apply>
                    <times/>
                    <ci>K_Re9</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q5</ci>
                            <ci>q5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re10</ci>
                <apply>
                    <times/>
                    <ci>K_Re10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q6</ci>
                            <ci>q6</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re11</ci>
                <apply>
                    <times/>
                    <ci>K_Re11</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q2</ci>
                            <ci>q2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re12</ci>
                <apply>
                    <times/>
                    <ci>K_Re12</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q3</ci>
                            <ci>q3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re13</ci>
                <apply>
                    <times/>
                    <ci>K_Re13</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q7</ci>
                            <ci>q7</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re14</ci>
                <apply>
                    <times/>
                    <ci>K_Re14</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re15</ci>
                <apply>
                    <times/>
                    <ci>K_Re15</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q7</ci>
                            <ci>q7</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q8</ci>
                            <ci>q8</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re16</ci>
                <apply>
                    <times/>
                    <ci>K_Re16</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q8</ci>
                            <ci>q8</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re17</ci>
                <apply>
                    <times/>
                    <ci>K_Re17</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q10</ci>
                            <ci>q10</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re18</ci>
                <apply>
                    <times/>
                    <ci>K_Re18</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q10</ci>
                            <ci>q10</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re19</ci>
                <apply>
                    <times/>
                    <ci>K_Re19</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q9</ci>
                            <ci>q9</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re20</ci>
                <apply>
                    <times/>
                    <ci>K_Re20</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q8</ci>
                            <ci>q8</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re21</ci>
                <apply>
                    <times/>
                    <ci>K_Re21</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q10</ci>
                            <ci>q10</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re22</ci>
                <apply>
                    <times/>
                    <ci>K_Re22</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re23</ci>
                <apply>
                    <times/>
                    <ci>K_Re23</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q7</ci>
                            <ci>q7</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re24</ci>
                <apply>
                    <times/>
                    <ci>K_Re24</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q14</ci>
                            <ci>q14</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re25</ci>
                <apply>
                    <times/>
                    <ci>K_Re25</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q15</ci>
                            <ci>q15</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re26</ci>
                <apply>
                    <times/>
                    <ci>K_Re26</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q14</ci>
                            <ci>q14</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q1</ci>
                            <ci>q1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re27</ci>
                <apply>
                    <times/>
                    <ci>K_Re27</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q15</ci>
                            <ci>q15</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q1</ci>
                            <ci>q1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re28</ci>
                <apply>
                    <times/>
                    <ci>K_Re28</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q16</ci>
                            <ci>q16</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q17</ci>
                            <ci>q17</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
        <!--        v_Re29 = K_Re29*(K_q17*q15-K_q1*q1);-->
    </component>
</model>