Location: Diabetes @ 35523e4fa869 / BondGraph / BG.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-03-23 00:03:16+13:00
- Desc:
- finishing insulin model
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/483/rawfile/35523e4fa86913421c5b384f16fc95bf425e2e62/BondGraph/BG.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="19670" name="K_q1" units="per_mol"/>
<variable initial_value="22.6" name="K_q2" units="per_mol"/>
<variable initial_value="345" name="K_q3" units="per_mol"/>
<variable initial_value="0.92" name="K_q4" units="per_mol"/>
<variable initial_value="0.79" name="K_q5" units="per_mol"/>
<variable initial_value="27.26" name="K_q6" units="per_mol"/>
<variable initial_value="0.0024" name="K_q7" units="per_mol"/>
<variable initial_value="0.00012" name="K_q8" units="per_mol"/>
<variable initial_value="1.49" name="K_q9" units="per_mol"/>
<variable initial_value="0.1" name="K_q10" units="per_mol"/>
<variable initial_value="0.075" name="K_q11" units="per_mol"/>
<variable initial_value="188700" name="K_q12" units="per_mol"/>
<variable initial_value="0.000264" name="K_Re1" units="mol_per_s"/>
<variable initial_value="0.000015" name="K_Re2" units="mol_per_s"/>
<variable initial_value="0.1147" name="K_Re3" units="mol_per_s"/>
<variable initial_value="0.00653" name="K_Re4" units="mol_per_s"/>
<variable initial_value="0.00753" name="K_Re5" units="mol_per_s"/>
<variable initial_value="0.000429" name="K_Re6" units="mol_per_s"/>
<variable initial_value="7.1332" name="K_Re7" units="mol_per_s"/>
<variable initial_value="0.416" name="K_Re8" units="mol_per_s"/>
<variable initial_value="0.416" name="K_Re9" units="mol_per_s"/>
<variable initial_value="0.0242" name="K_Re10" units="mol_per_s"/>
<variable initial_value="0.0146" name="K_Re11" units="mol_per_s"/>
<variable initial_value="0.000957" name="K_Re12" units="mol_per_s"/>
<variable initial_value="1.74" name="K_Re13" units="mol_per_s"/>
<variable initial_value="0.1" name="K_Re14" units="mol_per_s"/>
<variable initial_value="61.6247" name="K_Re15" units="mol_per_s"/>
<variable initial_value="34.71" name="K_Re16" units="mol_per_s"/>
<variable initial_value="0.1" name="K_Re17" units="mol_per_s"/>
<variable initial_value="0.1" name="K_Re18" units="mol_per_s"/>
<!-- State variables-->
<variable initial_value="10" name="q1" units="mole"/>
<variable initial_value="1.0e-9" name="q2" units="mole"/>
<variable initial_value="1.0e-9" name="q3" units="mole"/>
<variable initial_value="1.0e-9" name="q4" units="mole"/>
<variable initial_value="1.0e-9" name="q5" units="mole"/>
<variable initial_value="1.0e-9" name="q6" units="mole"/>
<variable initial_value="1.0e-9" name="q7" units="mole"/>
<variable initial_value="1.0e-9" name="q8" units="mole"/>
<variable initial_value="1.0e-9" name="q9" units="mole"/>
<variable initial_value="1.0e-9" name="q10" units="mole"/>
<variable initial_value="1.0e-9" name="q11" units="mole"/>
<variable initial_value="10" name="q12" units="mole"/>
<variable name="q" units="mole"/>
<variable name="qx" 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"/>
<!-- 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/>
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<ci>v_Re1</ci>
</apply>
<ci>v_Re2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
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<ci>t</ci>
</bvar>
<ci>q2</ci>
</apply>
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<ci>v_Re1</ci>
<ci>v_Re3</ci>
</apply>
<ci>v_Re4</ci>
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<ci>v_Re11</ci>
</apply>
</apply>
<apply>
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<apply>
<diff/>
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<ci>t</ci>
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<ci>q3</ci>
</apply>
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<ci>q5</ci>
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<ci>v_Re4</ci>
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<ci>v_Re9</ci>
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<eq/>
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<ci>t</ci>
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<ci>v_Re6</ci>
<ci>v_Re10</ci>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q7</ci>
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<minus/>
<apply>
<plus/>
<ci>v_Re7</ci>
<ci>v_Re8</ci>
<ci>v_Re13</ci>
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<ci>v_Re15</ci>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
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<ci>q8</ci>
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<plus/>
<ci>v_Re15</ci>
<ci>v_Re16</ci>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q9</ci>
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<apply>
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<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re11</ci>
<ci>v_Re12</ci>
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<ci>v_Re13</ci>
</apply>
<ci>v_Re14</ci>
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<ci>v_Re17</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q10</ci>
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<plus/>
<ci>v_Re17</ci>
<ci>v_Re18</ci>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q11</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re9</ci>
<ci>v_Re10</ci>
<ci>v_Re14</ci>
</apply>
<ci>v_Re16</ci>
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<ci>v_Re18</ci>
</apply>
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<apply>
<eq/>
<ci>q</ci>
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<plus/>
<ci>q1</ci>
<ci>q2</ci>
<ci>q3</ci>
<ci>q4</ci>
<ci>q5</ci>
<ci>q6</ci>
</apply>
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<apply>
<eq/>
<ci>qx</ci>
<apply>
<plus/>
<ci>q7</ci>
<ci>q8</ci>
<ci>q9</ci>
<ci>q10</ci>
<ci>q11</ci>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q12</ci>
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<apply>
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<apply>
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<apply>
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<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re1</ci>
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<ci>v_Re2</ci>
</apply>
<ci>v_Re3</ci>
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<ci>v_Re4</ci>
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<ci>v_Re5</ci>
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<ci>v_Re6</ci>
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<ci>v_Re13</ci>
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<ci>v_Re14</ci>
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<ci>v_Re15</ci>
</apply>
<ci>v_Re16</ci>
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<ci>v_Re17</ci>
</apply>
<ci>v_Re18</ci>
</apply>
</apply>
<!-- Constitutive relations-->
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<eq/>
<ci>v_Re1</ci>
<apply>
<times/>
<ci>K_Re1</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q1</ci>
<ci>q1</ci>
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<apply>
<times/>
<ci>K_q2</ci>
<ci>q2</ci>
</apply>
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<ci>v_Re2</ci>
<apply>
<times/>
<ci>K_Re2</ci>
<apply>
<minus/>
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<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q1</ci>
<ci>q1</ci>
</apply>
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<times/>
<ci>K_q3</ci>
<ci>q3</ci>
</apply>
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<ci>v_Re3</ci>
<apply>
<times/>
<ci>K_Re3</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q2</ci>
<ci>q2</ci>
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<apply>
<times/>
<ci>K_q4</ci>
<ci>q4</ci>
</apply>
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<eq/>
<ci>v_Re4</ci>
<apply>
<times/>
<ci>K_Re4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q2</ci>
<ci>q2</ci>
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<apply>
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<ci>K_q5</ci>
<ci>q5</ci>
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<ci>v_Re5</ci>
<apply>
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<ci>K_Re5</ci>
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<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q3</ci>
<ci>q3</ci>
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<ci>K_q5</ci>
<ci>q5</ci>
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<ci>v_Re6</ci>
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<ci>K_Re6</ci>
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<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q3</ci>
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<ci>K_q6</ci>
<ci>q6</ci>
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<ci>v_Re7</ci>
<apply>
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<ci>K_Re7</ci>
<apply>
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<ci>K_q4</ci>
<ci>q4</ci>
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<ci>K_q7</ci>
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<ci>v_Re8</ci>
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<times/>
<ci>K_Re8</ci>
<apply>
<minus/>
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<times/>
<ci>K_q5</ci>
<ci>q5</ci>
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<ci>v_Re10</ci>
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<ci>v_Re13</ci>
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<ci>q12</ci>
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<ci>v_Re15</ci>
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<ci>K_q7</ci>
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<ci>v_Re16</ci>
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<ci>K_Re16</ci>
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<ci>v_Re17</ci>
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<ci>K_q9</ci>
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<times/>
<ci>K_q10</ci>
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<eq/>
<ci>v_Re18</ci>
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<times/>
<ci>K_Re18</ci>
<apply>
<minus/>
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<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q11</ci>
<ci>q11</ci>
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<times/>
<ci>K_q10</ci>
<ci>q10</ci>
</apply>
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</apply>
</apply>
</math>
</component>
</model>