Location: Diabetes @ ebe8650819fa / BondGraph / BG.cellml
- Author:
- Soroush <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-03-21 18:27:12+13:00
- Desc:
- changing the parameters
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/483/rawfile/ebe8650819fa9d98d72d0b0d1bd873f4024f8732/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="45171932968560.456744703068869175" name="K_q1" units="per_mol"/>
<variable initial_value="101633.04067392843394520464377069" name="K_q2" units="per_mol"/>
<variable initial_value="24009.980235439837288579486593336" name="K_q3" units="per_mol"/>
<variable initial_value="0.00092744677624366848386188017116201" name="K_q4" units="per_mol"/>
<variable initial_value="0.00016354266071707673176646346830397" name="K_q5" units="per_mol"/>
<variable initial_value="0.00011535412083806233148468766230644" name="K_q6" units="per_mol"/>
<variable initial_value="0.010806170498680058584218754509715" name="K_q7" units="per_mol"/>
<variable initial_value="0.000000000038218220757993099392101522538707" name="K_q8" units="per_mol"/>
<variable initial_value="1521770.0566201251500960790173054" name="K_q9" units="per_mol"/>
<variable initial_value="0.00002919714382173054503231791062581" name="K_q10" units="per_mol"/>
<variable initial_value="0.02825659005528561288960233245779" name="K_q11" units="per_mol"/>
<!-- var K_q12: per_mol {init: 1.0};-->
<variable initial_value="0.00000033077431976177317686229447228807" name="K_Re1" units="mol_per_s"/>
<variable initial_value="0.0000000031892148626951044717554725871953" name="K_Re2" units="mol_per_s"/>
<variable initial_value="73.508158867045222683503509721854" name="K_Re3" units="mol_per_s"/>
<variable initial_value="0.70874097165999665951521065220623" name="K_Re4" units="mol_per_s"/>
<variable initial_value="311.15634526731804379754147636701" name="K_Re5" units="mol_per_s"/>
<variable initial_value="3.0000649435636846774630665772493" name="K_Re6" units="mol_per_s"/>
<variable initial_value="0.049016289844816148012577783559957" name="K_Re7" units="mol_per_s"/>
<variable initial_value="0.13898514247192132732310217785882" name="K_Re8" units="mol_per_s"/>
<variable initial_value="0.13898514247192132732310217785882" name="K_Re9" units="mol_per_s"/>
<variable initial_value="0.39409081938059369627381848214925" name="K_Re10" units="mol_per_s"/>
<variable initial_value="0.00000000022364774141634874624345049359622" name="K_Re11" units="mol_per_s"/>
<variable initial_value="0.00000000094668965892980925630914091402437" name="K_Re12" units="mol_per_s"/>
<variable initial_value="1.1910787453864581038713019133271" name="K_Re13" units="mol_per_s"/>
<variable initial_value="0.0070779948892873738308930600349133" name="K_Re14" units="mol_per_s"/>
<variable initial_value="6665774.8930389754954909276639776" name="K_Re15" units="mol_per_s"/>
<variable initial_value="264393463.09596612807842600059829" name="K_Re16" units="mol_per_s"/>
<variable initial_value="0.047334023748622756063899015644439" name="K_Re17" units="mol_per_s"/>
<variable initial_value="825.75427375871146798113884897316" name="K_Re18" units="mol_per_s"/>
<!-- var K_Re19: mol_per_s {init: 1.0};-->
<!-- State variables-->
<variable initial_value="9.9682" name="q1" units="mole"/>
<variable initial_value="0.02214" name="q2" units="mole"/>
<variable initial_value="0.00935" name="q3" units="mole"/>
<variable initial_value="1.22887e-5" name="q4" units="mole"/>
<variable initial_value="1.03764e-5" name="q5" units="mole"/>
<variable initial_value="2.18683e-6" name="q6" units="mole"/>
<variable initial_value="1.51514e-9" name="q7" units="mole"/>
<variable initial_value="1.78726e-14" name="q8" units="mole"/>
<variable initial_value="1.36476e-6" name="q9" units="mole"/>
<variable initial_value="5.59231e-20" name="q10" units="mole"/>
<variable initial_value="6.39352e-10" name="q11" units="mole"/>
<!-- var q12: mole {init: 1e-6};-->
<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"/>
<!-- var v_Re19: mol_per_s;-->
<variable name="u1" units="J_per_mol"/>
<variable name="u2" units="J_per_mol"/>
<variable name="u3" units="J_per_mol"/>
<variable name="u4" units="J_per_mol"/>
<variable name="u5" units="J_per_mol"/>
<variable name="u6" units="J_per_mol"/>
<variable name="u7" units="J_per_mol"/>
<variable name="u8" units="J_per_mol"/>
<variable name="u9" units="J_per_mol"/>
<variable name="u10" units="J_per_mol"/>
<variable name="u11" units="J_per_mol"/>
<!-- var u12: J_per_mol;-->
<variable name="u13" units="J_per_mol"/>
<!-- Conservation laws-->
<!-- ode(q1, t) = -v_Re1-v_Re2;
ode(q2, t) = v_Re1-v_Re3-v_Re4-v_Re11;
ode(q3, t) = v_Re2-v_Re5-v_Re6-v_Re12;
ode(q4, t) = v_Re3-v_Re7;
ode(q5, t) = v_Re4+v_Re5-v_Re8-v_Re9;
ode(q6, t) = v_Re6-v_Re10;
ode(q7, t) = v_Re7+v_Re8-v_Re13-v_Re15-v_Re19;
ode(q8, t) = v_Re15+v_Re16-v_Re19;
ode(q9, t) = v_Re11+v_Re12+v_Re13+v_Re14-v_Re17-v_Re19;
ode(q10, t) = v_Re17+v_Re18-v_Re19;
ode(q11, t) = v_Re9+v_Re10-v_Re14-v_Re16-v_Re18-v_Re19;
ode(q12, t) = v_Re19;
u13 = u7+u8+u9+u10+u11;-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
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<bvar>
<ci>t</ci>
</bvar>
<ci>q1</ci>
</apply>
<apply>
<minus/>
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<ci>v_Re1</ci>
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<ci>v_Re2</ci>
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<ci>t</ci>
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<ci>q2</ci>
</apply>
<apply>
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<ci>v_Re1</ci>
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<ci>v_Re4</ci>
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<ci>v_Re11</ci>
</apply>
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<ci>v_Re2</ci>
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<ci>v_Re6</ci>
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<ci>v_Re12</ci>
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<ci>v_Re9</ci>
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<ci>v_Re6</ci>
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<ci>t</ci>
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<ci>q7</ci>
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<apply>
<minus/>
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<plus/>
<ci>v_Re7</ci>
<ci>v_Re8</ci>
</apply>
<ci>v_Re13</ci>
</apply>
<ci>v_Re15</ci>
</apply>
</apply>
<apply>
<eq/>
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<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q8</ci>
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<plus/>
<ci>v_Re15</ci>
<ci>v_Re16</ci>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q9</ci>
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<apply>
<minus/>
<apply>
<plus/>
<ci>v_Re11</ci>
<ci>v_Re12</ci>
<ci>v_Re13</ci>
<ci>v_Re14</ci>
</apply>
<ci>v_Re17</ci>
</apply>
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<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q10</ci>
</apply>
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<plus/>
<ci>v_Re17</ci>
<ci>v_Re18</ci>
</apply>
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<apply>
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<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>
</apply>
<ci>v_Re14</ci>
</apply>
<ci>v_Re16</ci>
</apply>
<ci>v_Re18</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u13</ci>
<apply>
<plus/>
<ci>u7</ci>
<ci>u8</ci>
<ci>u9</ci>
<ci>u10</ci>
<ci>u11</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<eq/>
<ci>u1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q1</ci>
<ci>q1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q2</ci>
<ci>q2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q3</ci>
<ci>q3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q4</ci>
<ci>q4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q5</ci>
<ci>q5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q6</ci>
<ci>q6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q7</ci>
<ci>q7</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q8</ci>
<ci>q8</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q9</ci>
<ci>q9</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q10</ci>
<ci>q10</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q11</ci>
<ci>q11</ci>
</apply>
</apply>
</apply>
</apply>
<!-- u12 = R*T*ln(K_q12*q12);-->
<apply>
<eq/>
<ci>v_Re1</ci>
<apply>
<times/>
<ci>K_Re1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re2</ci>
<apply>
<times/>
<ci>K_Re2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re3</ci>
<apply>
<times/>
<ci>K_Re3</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
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<divide/>
<ci>u4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re4</ci>
<apply>
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<ci>K_Re4</ci>
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<ci>K_Re5</ci>
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<minus/>
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<ci>u3</ci>
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<ci>T</ci>
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<ci>v_Re6</ci>
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<ci>K_Re6</ci>
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<minus/>
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<divide/>
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<ci>v_Re7</ci>
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<divide/>
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<ci>T</ci>
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<apply>
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<ci>v_Re8</ci>
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<ci>K_Re8</ci>
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<minus/>
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<exp/>
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<divide/>
<ci>u5</ci>
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<ci>R</ci>
<ci>T</ci>
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<apply>
<exp/>
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<divide/>
<ci>u7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re9</ci>
<apply>
<times/>
<ci>K_Re9</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re10</ci>
<apply>
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<ci>K_Re10</ci>
<apply>
<minus/>
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<exp/>
<apply>
<divide/>
<ci>u6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
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<apply>
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<divide/>
<ci>u11</ci>
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<ci>R</ci>
<ci>T</ci>
</apply>
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</apply>
</apply>
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<apply>
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<ci>v_Re11</ci>
<apply>
<times/>
<ci>K_Re11</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
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<apply>
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<divide/>
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<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
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<ci>v_Re12</ci>
<apply>
<times/>
<ci>K_Re12</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
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<divide/>
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<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re13</ci>
<apply>
<times/>
<ci>K_Re13</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re14</ci>
<apply>
<times/>
<ci>K_Re14</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re15</ci>
<apply>
<times/>
<ci>K_Re15</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re16</ci>
<apply>
<times/>
<ci>K_Re16</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re17</ci>
<apply>
<times/>
<ci>K_Re17</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re18</ci>
<apply>
<times/>
<ci>K_Re18</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<!-- v_Re19 = K_Re19*(exp(u13/(R*T))-exp(u12/(R*T)));-->
</component>
</model>