- Author:
- Soroush <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-03-23 18:02:51+13:00
- Desc:
- adding internalising
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/483/rawfile/dfa41682aa4c51a1cd00cf09ef9db64da8f0996e/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="19669.898190896332336110969383345" name="K_q1" units="per_mol"/>
<variable initial_value="22.642778846942836895744330635748" name="K_q2" units="per_mol"/>
<variable initial_value="344.92284866397723000782142649788" name="K_q3" units="per_mol"/>
<variable initial_value="0.092525051182377403374730786987424" name="K_q4" units="per_mol"/>
<variable initial_value="0.79410800256918876707169257173497" name="K_q5" units="per_mol"/>
<variable initial_value="27.262131139011316690252773372446" name="K_q6" units="per_mol"/>
<variable initial_value="0.0023992548166924284343807546894061" name="K_q7" units="per_mol"/>
<variable initial_value="0.00012039271481611065838380806926226" name="K_q8" units="per_mol"/>
<variable initial_value="1.4910518693281436888243034456165" name="K_q9" units="per_mol"/>
<variable initial_value="0.10084667207103279579706369479989" name="K_q10" units="per_mol"/>
<variable initial_value="0.074819807063060973632760746375022" name="K_q11" units="per_mol"/>
<variable initial_value="188700.48780057954529781659531017" name="K_q12" units="per_mol"/>
<variable initial_value="1.0" name="K_q13" units="per_mol"/>
<variable initial_value="1.0" name="K_q14" units="per_mol"/>
<variable initial_value="1.0" name="K_q15" units="per_mol"/>
<variable initial_value="0.00026402858048145057254458992313708" name="K_Re1" units="mol_per_s"/>
<variable initial_value="0.000015033464072311165253049099705152" name="K_Re2" units="mol_per_s"/>
<variable initial_value="0.11468149145170428912762664945222" name="K_Re3" units="mol_per_s"/>
<variable initial_value="0.0065298236969439789115526194279936" name="K_Re4" units="mol_per_s"/>
<variable initial_value="0.0075283723848291946358969008209405" name="K_Re5" units="mol_per_s"/>
<variable initial_value="0.00042865630517700924559494598551885" name="K_Re6" units="mol_per_s"/>
<variable initial_value="7.1332032953871585030870965749145" name="K_Re7" units="mol_per_s"/>
<variable initial_value="0.41556060250286657232025179042378" name="K_Re8" units="mol_per_s"/>
<variable initial_value="0.41556060250286657232025179042378" name="K_Re9" units="mol_per_s"/>
<variable initial_value="0.024209405957099193808979640017413" name="K_Re10" units="mol_per_s"/>
<variable initial_value="0.014574182887651868498411079152653" name="K_Re11" units="mol_per_s"/>
<variable initial_value="0.00095673569112113235815498051460739" name="K_Re12" units="mol_per_s"/>
<variable initial_value="1.7415273755356088371660695586574" name="K_Re13" units="mol_per_s"/>
<variable initial_value="0.099160436280496911340680287115388" name="K_Re14" units="mol_per_s"/>
<variable initial_value="61.624698156595679408651882109711" name="K_Re15" units="mol_per_s"/>
<variable initial_value="34.706152698173918969238100490386" name="K_Re16" units="mol_per_s"/>
<variable initial_value="0.099160436280496911340680287115388" name="K_Re17" units="mol_per_s"/>
<variable initial_value="0.099160436280496911340680287115388" name="K_Re18" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re19" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re20" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re21" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re22" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re23" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re24" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re25" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re26" units="mol_per_s"/>
<variable initial_value="1.0" name="K_Re27" units="mol_per_s"/>
<!-- 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"/>
<variable initial_value="0.0" name="q7" units="mole"/>
<variable initial_value="0.0" name="q8" units="mole"/>
<variable initial_value="0.0" name="q9" units="mole"/>
<variable initial_value="0.0" name="q10" units="mole"/>
<variable initial_value="0.0" name="q11" units="mole"/>
<variable initial_value="1.0" 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 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"/>
<!-- 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>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re1</ci>
</apply>
<ci>v_Re2</ci>
</apply>
<ci>v_Re26</ci>
<ci>v_Re27</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q2</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re1</ci>
<ci>v_Re3</ci>
</apply>
<ci>v_Re4</ci>
</apply>
<ci>v_Re11</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q3</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re2</ci>
<ci>v_Re5</ci>
</apply>
<ci>v_Re6</ci>
</apply>
<ci>v_Re12</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q4</ci>
</apply>
<apply>
<minus/>
<ci>v_Re3</ci>
<ci>v_Re7</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q5</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re4</ci>
<ci>v_Re5</ci>
</apply>
<ci>v_Re8</ci>
</apply>
<ci>v_Re9</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q6</ci>
</apply>
<apply>
<minus/>
<ci>v_Re6</ci>
<ci>v_Re10</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q7</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re7</ci>
<ci>v_Re8</ci>
<ci>v_Re13</ci>
</apply>
<ci>v_Re15</ci>
</apply>
<ci>v_Re23</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q8</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re15</ci>
<ci>v_Re16</ci>
</apply>
<ci>v_Re20</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q9</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re11</ci>
<ci>v_Re12</ci>
</apply>
<ci>v_Re13</ci>
</apply>
<ci>v_Re14</ci>
</apply>
<ci>v_Re17</ci>
</apply>
<ci>v_Re19</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q10</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re17</ci>
<ci>v_Re18</ci>
</apply>
<ci>v_Re21</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q11</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re9</ci>
<ci>v_Re10</ci>
<ci>v_Re14</ci>
</apply>
<ci>v_Re16</ci>
</apply>
<ci>v_Re18</ci>
</apply>
<ci>v_Re22</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q12</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re1</ci>
</apply>
<ci>v_Re2</ci>
</apply>
<ci>v_Re3</ci>
</apply>
<ci>v_Re4</ci>
</apply>
<ci>v_Re5</ci>
</apply>
<ci>v_Re6</ci>
</apply>
<ci>v_Re13</ci>
</apply>
<ci>v_Re14</ci>
</apply>
<ci>v_Re15</ci>
</apply>
<ci>v_Re16</ci>
</apply>
<ci>v_Re17</ci>
</apply>
<ci>v_Re18</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q13</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re19</ci>
<ci>v_Re20</ci>
<ci>v_Re21</ci>
<ci>v_Re22</ci>
<ci>v_Re23</ci>
<ci>v_Re24</ci>
</apply>
<ci>v_Re25</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q14</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re24</ci>
</apply>
<ci>v_Re26</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q15</ci>
</apply>
<apply>
<minus/>
<ci>v_Re25</ci>
<ci>v_Re27</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<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>
</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_q12</ci>
<ci>q12</ci>
<ci>K_q1</ci>
<ci>q1</ci>
</apply>
<apply>
<times/>
<ci>K_q3</ci>
<ci>q3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<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>
</apply>
<apply>
<times/>
<ci>K_q4</ci>
<ci>q4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<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>
</apply>
<apply>
<times/>
<ci>K_q5</ci>
<ci>q5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re5</ci>
<apply>
<times/>
<ci>K_Re5</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q3</ci>
<ci>q3</ci>
</apply>
<apply>
<times/>
<ci>K_q5</ci>
<ci>q5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re6</ci>
<apply>
<times/>
<ci>K_Re6</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_q12</ci>
<ci>q12</ci>
<ci>K_q3</ci>
<ci>q3</ci>
</apply>
<apply>
<times/>
<ci>K_q6</ci>
<ci>q6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re7</ci>
<apply>
<times/>
<ci>K_Re7</ci>
<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>
</math>
</component>
</model>