Location: Diabetes @ f81c1d034d81 / BondGraph / AdiposeTissue.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2018-07-19 07:50:03+12:00
Desc:
Merge remote-tracking branch 'origin/master'
Permanent Source URI:
https://models.physiomeproject.org/workspace/483/rawfile/f81c1d034d819d4b5746270a6c34032c144f8033/BondGraph/AdiposeTissue.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="11.142582928965595320476960912187" name="K_q1" units="per_mol"/>
        <variable initial_value="2.6598391153699323486756265662305" name="K_q2" units="per_mol"/>
        <variable initial_value="4.0113939928235000732450622609433" name="K_q3" units="per_mol"/>
        <variable initial_value="0.24928989817231345618896472677268" name="K_q4" units="per_mol"/>
        <variable initial_value="7.3883238529394718950887065504115" name="K_q5" units="per_mol"/>
        <variable initial_value="1.4366414850441142555273079362679" name="K_q6" units="per_mol"/>
        <variable initial_value="10.61437255207381492484307975143" name="K_q7" units="per_mol"/>
        <variable initial_value="2.3839970986716846434554500855039" name="K_q8" units="per_mol"/>
        <variable initial_value="983.4796270982095135249653498272" name="K_q9" units="per_mol"/>
        <variable initial_value="0.011329754701520528419531196670394" name="K_q10" units="per_mol"/>
        <variable initial_value="0.025729697566818472208755046847053" name="K_q11" units="per_mol"/>
        <variable initial_value="8.3068005640253449203348974716579" name="K_q12" units="per_mol"/>
        <variable initial_value="82.221984302379386728099155389536" name="K_q13" units="per_mol"/>
        <variable initial_value="0.1355182926258220320473148971418" name="K_q14" units="per_mol"/>
        <variable initial_value="0.028964523388002449353892836460038" name="K_q15" units="per_mol"/>
        <variable initial_value="34.524994131759660359277278591386" name="K_q16" units="per_mol"/>
        <variable initial_value="228.8048006452291219154761282818" name="K_Re1" units="mol_per_s"/>
        <variable initial_value="0.76028036831638205927824470719602" name="K_Re2" units="mol_per_s"/>
        <variable initial_value="19585.310916828291241850675676081" name="K_Re3" units="mol_per_s"/>
        <variable initial_value="4216.661361593794315853618270382" name="K_Re4" units="mol_per_s"/>
        <variable initial_value="6864.3331296539528741029286030959" name="K_Re5" units="mol_per_s"/>
        <variable initial_value="68057.750759214815720232378361669" name="K_Re6" units="mol_per_s"/>
        <variable initial_value="2219.2661951460699842216530216497" name="K_Re7" units="mol_per_s"/>
        <variable initial_value="0.11672006881510240301473551155898" name="K_Re8" units="mol_per_s"/>
        <!-- State variables-->
        <variable initial_value="9.99982" name="q1" units="mole"/>
        <variable initial_value="0.00018" name="q2" units="mole"/>
        <variable initial_value="9.92463" name="q3" units="mole"/>
        <variable initial_value="0.07537" name="q4" units="mole"/>
        <variable initial_value="9.97578" name="q5" units="mole"/>
        <variable initial_value="0.02422" name="q6" units="mole"/>
        <variable initial_value="8.65877" name="q7" units="mole"/>
        <variable initial_value="1.34123" name="q8" units="mole"/>
        <variable initial_value="0.000036" name="q9" units="mole"/>
        <variable initial_value="9.99996" name="q10" units="mole"/>
        <variable initial_value="9.90193" name="q11" units="mole"/>
        <variable initial_value="0.09807" name="q12" units="mole"/>
        <variable initial_value="0.02019" name="q13" units="mole"/>
        <variable initial_value="9.97981" name="q14" units="mole"/>
        <variable initial_value="9.99317" name="q15" units="mole"/>
        <variable initial_value="0.00683" name="q16" 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"/>
        <!-- Conservation laws-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q1</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q2</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_Re1</ci>
                        <ci>v_Re2</ci>
                    </apply>
                    <ci>v_Re3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q3</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q4</ci>
                </apply>
                <ci>v_Re2</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q5</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q6</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re3</ci>
                    <ci>v_Re4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q7</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q8</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_Re4</ci>
                        <ci>v_Re5</ci>
                    </apply>
                    <ci>v_Re6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q9</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q10</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re5</ci>
                    <ci>v_Re1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q11</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q12</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_Re6</ci>
                        <ci>v_Re7</ci>
                    </apply>
                    <ci>v_Re8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q13</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_Re7</ci>
                    </apply>
                    <ci>v_Re1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q14</ci>
                </apply>
                <ci>v_Re7</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q15</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q16</ci>
                </apply>
                <ci>v_Re8</ci>
            </apply>
            <!-- Constitutive relations-->
            <apply>
                <eq/>
                <ci>v_Re1</ci>
                <apply>
                    <times/>
                    <ci>K_Re1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q1</ci>
                            <ci>q1</ci>
                            <ci>K_q10</ci>
                            <ci>q10</ci>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q2</ci>
                            <ci>q2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re2</ci>
                <apply>
                    <times/>
                    <ci>K_Re2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q2</ci>
                            <ci>q2</ci>
                            <ci>K_q3</ci>
                            <ci>q3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q4</ci>
                            <ci>q4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re3</ci>
                <apply>
                    <times/>
                    <ci>K_Re3</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q2</ci>
                            <ci>q2</ci>
                            <ci>K_q5</ci>
                            <ci>q5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q6</ci>
                            <ci>q6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re4</ci>
                <apply>
                    <times/>
                    <ci>K_Re4</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q6</ci>
                            <ci>q6</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_Re5</ci>
                <apply>
                    <times/>
                    <ci>K_Re5</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q8</ci>
                            <ci>q8</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_Re6</ci>
                <apply>
                    <times/>
                    <ci>K_Re6</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q8</ci>
                            <ci>q8</ci>
                            <ci>K_q11</ci>
                            <ci>q11</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re7</ci>
                <apply>
                    <times/>
                    <ci>K_Re7</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q13</ci>
                            <ci>q13</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q14</ci>
                            <ci>q14</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re8</ci>
                <apply>
                    <times/>
                    <ci>K_Re8</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_q12</ci>
                            <ci>q12</ci>
                            <ci>K_q15</ci>
                            <ci>q15</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_q16</ci>
                            <ci>q16</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>