Location: Na+/Glucose Transporter @ 89cd53399e44 / BG-original / StateDiagram.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-08-02 05:37:03+12:00
- Desc:
- fixing diffusion
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/89cd53399e44e02d8db73780f55d1b1c8b85fe85/BG-original/StateDiagram.cellml
<?xml version='1.0'?>
<model name="StateDiagram" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="state">
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="8.314" name="R" units="J_per_mol_K"/>
<variable initial_value="300" name="T" units="kelvin"/>
<variable initial_value="2" name="z" units="dimensionless"/>
<variable initial_value="96485" name="F" units="C_per_mol"/>
<variable initial_value="0.3" name="rho_1" units="dimensionless"/>
<variable initial_value="0.7" name="rho_2" units="dimensionless"/>
<!-- Parameters-->
<variable name="K_q1" public_interface="in" units="per_mol"/>
<variable name="K_q2" public_interface="in" units="per_mol"/>
<variable name="K_q3" public_interface="in" units="per_mol"/>
<variable name="K_q4" public_interface="in" units="per_mol"/>
<variable name="K_q5" public_interface="in" units="per_mol"/>
<variable name="K_q6" public_interface="in" units="per_mol"/>
<variable name="K_q7" public_interface="in" units="per_mol"/>
<variable name="K_q8" public_interface="in" units="per_mol"/>
<variable name="K_q9" public_interface="in" units="per_mol"/>
<variable name="K_q10" public_interface="in" units="per_mol"/>
<variable name="K_E" public_interface="in" units="per_mol"/>
<variable name="K_Re_1" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_2" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_3" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_4" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_5" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_6" public_interface="in" units="mol_per_s"/>
<variable name="K_Re_7" public_interface="in" units="mol_per_s"/>
<!-- State variables-->
<variable name="q1_init" public_interface="in" units="mole"/>
<variable name="q2_init" public_interface="in" units="mole"/>
<variable name="q3_init" public_interface="in" units="mole"/>
<variable name="q4_init" public_interface="in" units="mole"/>
<variable name="q5_init" public_interface="in" units="mole"/>
<variable name="q6_init" public_interface="in" units="mole"/>
<variable name="q7_init" public_interface="in" units="mole"/>
<variable name="q8_init" public_interface="in" units="mole"/>
<variable name="q9_init" public_interface="in" units="mole"/>
<variable name="q10_init" public_interface="in" units="mole"/>
<variable name="q_E_init" public_interface="in" units="mole"/>
<variable initial_value="0.0" name="q1_aux" units="mole"/>
<variable initial_value="0.0" name="q2_aux" units="mole"/>
<variable initial_value="0.0" name="q3_aux" units="mole"/>
<variable initial_value="0.0" name="q4_aux" units="mole"/>
<variable initial_value="0.0" name="q5_aux" units="mole"/>
<variable initial_value="0.0" name="q6_aux" units="mole"/>
<variable initial_value="0.0" name="q7_aux" units="mole"/>
<variable initial_value="0.0" name="q8_aux" units="mole"/>
<variable initial_value="0.0" name="q9_aux" units="mole"/>
<variable initial_value="0.0" name="q10_aux" units="mole"/>
<variable initial_value="0.0" name="q_E_aux" units="mole"/>
<variable name="q1" public_interface="out" units="mole"/>
<variable name="q2" public_interface="out" units="mole"/>
<variable name="q3" public_interface="out" units="mole"/>
<variable name="q4" public_interface="out" units="mole"/>
<variable name="q5" public_interface="out" units="mole"/>
<variable name="q6" public_interface="out" units="mole"/>
<variable name="q7" public_interface="out" units="mole"/>
<variable name="q8" public_interface="out" units="mole"/>
<variable name="q9" public_interface="out" units="mole"/>
<variable name="q10" public_interface="out" units="mole"/>
<variable name="q_E" public_interface="out" units="mole"/>
<variable name="v_Re_1" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_2" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_3" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_4" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_5" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_6" public_interface="out" units="mol_per_s"/>
<variable name="v_Re_7" public_interface="out" units="mol_per_s"/>
<variable name="u1" public_interface="out" units="J_per_mol"/>
<variable name="u2" public_interface="out" units="J_per_mol"/>
<variable name="u3" public_interface="out" units="J_per_mol"/>
<variable name="u4" public_interface="out" units="J_per_mol"/>
<variable name="u5" public_interface="out" units="J_per_mol"/>
<variable name="u6" public_interface="out" units="J_per_mol"/>
<variable name="u7" public_interface="out" units="J_per_mol"/>
<variable name="u8" public_interface="out" units="J_per_mol"/>
<variable name="u9" public_interface="out" units="J_per_mol"/>
<variable name="u10" public_interface="out" units="J_per_mol"/>
<variable name="u11" public_interface="out" units="J_per_mol"/>
<variable name="u12" public_interface="out" units="J_per_mol"/>
<variable name="u13" public_interface="out" units="J_per_mol"/>
<variable name="u14" public_interface="out" units="J_per_mol"/>
<variable name="u15" public_interface="out" units="J_per_mol"/>
<variable name="u16" public_interface="out" units="J_per_mol"/>
<variable name="u17" public_interface="out" units="J_per_mol"/>
<variable name="u_E" public_interface="out" units="J_per_C"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q1_aux</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
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<ci>v_Re_1</ci>
</apply>
</apply>
<apply>
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<ci>t</ci>
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<ci>v_Re_2</ci>
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<ci>v_Re_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
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<ci>v_Re_3</ci>
<ci>v_Re_7</ci>
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<apply>
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<apply>
<diff/>
<bvar>
<ci>t</ci>
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<ci>q10_aux</ci>
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<apply>
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<ci>v_Re_7</ci>
<ci>v_Re_4</ci>
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<apply>
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<apply>
<diff/>
<bvar>
<ci>t</ci>
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<ci>q_E_aux</ci>
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<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>rho_1</ci>
<ci>v_Re_1</ci>
</apply>
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<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>rho_2</ci>
<ci>v_Re_5</ci>
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<apply>
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<ci>q1</ci>
<ci>q1_init</ci>
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<apply>
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<apply>
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<ci>q5_init</ci>
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<apply>
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<ci>q6</ci>
<apply>
<plus/>
<ci>q6_aux</ci>
<ci>q6_init</ci>
</apply>
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<apply>
<eq/>
<ci>q7</ci>
<apply>
<plus/>
<ci>q7_aux</ci>
<ci>q7_init</ci>
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<apply>
<eq/>
<ci>q8</ci>
<apply>
<plus/>
<ci>q8_aux</ci>
<ci>q8_init</ci>
</apply>
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<apply>
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<ci>q9</ci>
<apply>
<plus/>
<ci>q9_aux</ci>
<ci>q9_init</ci>
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<apply>
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<ci>q10</ci>
<apply>
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<ci>q10_init</ci>
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<eq/>
<ci>q_E</ci>
<ci>q_E_init</ci>
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<apply>
<eq/>
<ci>u11</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>u5</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>u1</ci>
</apply>
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<times/>
<ci>rho_1</ci>
<ci>F</ci>
<ci>u_E</ci>
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<apply>
<eq/>
<ci>u12</ci>
<apply>
<plus/>
<ci>u7</ci>
<apply>
<times/>
<ci>rho_1</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
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<apply>
<eq/>
<ci>u13</ci>
<apply>
<plus/>
<ci>u6</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>u2</ci>
</apply>
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<apply>
<eq/>
<ci>u14</ci>
<apply>
<plus/>
<ci>u3</ci>
<ci>u7</ci>
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<apply>
<eq/>
<ci>u15</ci>
<apply>
<plus/>
<ci>u4</ci>
<ci>u8</ci>
</apply>
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<ci>u16</ci>
<apply>
<minus/>
<ci>u6</ci>
<apply>
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<ci>rho_2</ci>
<ci>F</ci>
<ci>u_E</ci>
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<ci>u17</ci>
<apply>
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<ci>u5</ci>
<apply>
<times/>
<ci>rho_2</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
</apply>
</apply>
<!-- Constitutive Re_lations-->
<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>
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<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>
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<apply>
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<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>
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<ci>u4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
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<apply>
<times/>
<ci>K_q4</ci>
<ci>q4</ci>
</apply>
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<apply>
<eq/>
<ci>u5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
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<times/>
<ci>K_q5</ci>
<ci>q5</ci>
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<ci>u6</ci>
<apply>
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<ci>R</ci>
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<apply>
<ln/>
<apply>
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<ci>K_q6</ci>
<ci>q6</ci>
</apply>
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<apply>
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<ci>u7</ci>
<apply>
<times/>
<ci>R</ci>
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<apply>
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<ci>K_q7</ci>
<ci>q7</ci>
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<apply>
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<ci>u8</ci>
<apply>
<times/>
<ci>R</ci>
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<apply>
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<ci>K_q8</ci>
<ci>q8</ci>
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<ci>u9</ci>
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<apply>
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<ci>q9</ci>
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<ci>u10</ci>
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<ci>R</ci>
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<apply>
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<ci>K_q10</ci>
<ci>q10</ci>
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<ci>F</ci>
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<ci>K_E</ci>
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<ci>v_Re_1</ci>
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<divide/>
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<ci>R</ci>
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<eq/>
<ci>v_Re_4</ci>
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<ci>K_Re_4</ci>
<apply>
<minus/>
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<divide/>
<ci>u10</ci>
<apply>
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<ci>T</ci>
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<minus/>
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<ci>T</ci>
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</model>