Location: Na+/Glucose Transporter @ 64ea31e49cc3 / BG-simplified / StateDiagram.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-07-31 18:31:06+12:00
- Desc:
- modularisation
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/64ea31e49cc3a4ba9a3b468db0f26f8fae5e155c/BG-simplified/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"/>
<!-- Parameters-->
<variable name="K_q_1" public_interface="in" units="per_mol"/>
<variable name="K_q_2" public_interface="in" units="per_mol"/>
<variable name="K_q_3" public_interface="in" units="per_mol"/>
<variable name="K_q_4" public_interface="in" units="per_mol"/>
<variable name="K_q_5" public_interface="in" units="per_mol"/>
<variable name="K_q_6" public_interface="in" units="per_mol"/>
<variable name="K_q_7" public_interface="in" units="per_mol"/>
<variable name="K_q_8" public_interface="in" units="per_mol"/>
<variable name="K_q_9" public_interface="in" units="per_mol"/>
<variable name="K_q_10" 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="q_1_init" public_interface="in" units="mole"/>
<variable name="q_2_init" public_interface="in" units="mole"/>
<variable name="q_3_init" public_interface="in" units="mole"/>
<variable name="q_4_init" public_interface="in" units="mole"/>
<variable name="q_5_init" public_interface="in" units="mole"/>
<variable name="q_6_init" public_interface="in" units="mole"/>
<variable name="q_7_init" public_interface="in" units="mole"/>
<variable name="q_8_init" public_interface="in" units="mole"/>
<variable name="q_9_init" public_interface="in" units="mole"/>
<variable name="q_10_init" public_interface="in" units="mole"/>
<variable name="q_E_init" public_interface="in" units="mole"/>
<variable initial_value="0.0" name="q_1_aux" units="mole"/>
<variable initial_value="0.0" name="q_2_aux" units="mole"/>
<variable initial_value="0.0" name="q_3_aux" units="mole"/>
<variable initial_value="0.0" name="q_4_aux" units="mole"/>
<variable initial_value="0.0" name="q_5_aux" units="mole"/>
<variable initial_value="0.0" name="q_6_aux" units="mole"/>
<variable initial_value="0.0" name="q_7_aux" units="mole"/>
<variable initial_value="0.0" name="q_8_aux" units="mole"/>
<variable initial_value="0.0" name="q_9_aux" units="mole"/>
<variable initial_value="0.0" name="q_10_aux" units="mole"/>
<variable initial_value="0.0" name="q_E_aux" units="mole"/>
<variable name="q_1" public_interface="out" units="mole"/>
<variable name="q_2" public_interface="out" units="mole"/>
<variable name="q_3" public_interface="out" units="mole"/>
<variable name="q_4" public_interface="out" units="mole"/>
<variable name="q_5" public_interface="out" units="mole"/>
<variable name="q_6" public_interface="out" units="mole"/>
<variable name="q_7" public_interface="out" units="mole"/>
<variable name="q_8" public_interface="out" units="mole"/>
<variable name="q_9" public_interface="out" units="mole"/>
<variable name="q_10" 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="u_1" public_interface="out" units="J_per_mol"/>
<variable name="u_2" public_interface="out" units="J_per_mol"/>
<variable name="u_3" public_interface="out" units="J_per_mol"/>
<variable name="u_4" public_interface="out" units="J_per_mol"/>
<variable name="u_5" public_interface="out" units="J_per_mol"/>
<variable name="u_6" public_interface="out" units="J_per_mol"/>
<variable name="u_7" public_interface="out" units="J_per_mol"/>
<variable name="u_8" public_interface="out" units="J_per_mol"/>
<variable name="u_9" public_interface="out" units="J_per_mol"/>
<variable name="u_10" public_interface="out" units="J_per_mol"/>
<variable name="u_11" public_interface="out" units="J_per_mol"/>
<variable name="u_12" public_interface="out" units="J_per_mol"/>
<variable name="u_13" public_interface="out" units="J_per_mol"/>
<variable name="u_14" public_interface="out" units="J_per_mol"/>
<variable name="u_15" public_interface="out" units="J_per_mol"/>
<variable name="u_16" public_interface="out" units="J_per_mol"/>
<variable name="u_17" public_interface="out" units="J_per_mol"/>
<variable name="u_E" public_interface="out" units="J_per_mol"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1_aux</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>v_Re_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_2_aux</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>v_Re_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_3_aux</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_4_aux</ci>
</apply>
<ci>v_Re_4</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_5_aux</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_5</ci>
<ci>v_Re_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_6_aux</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_2</ci>
<ci>v_Re_5</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_7_aux</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re_1</ci>
<ci>v_Re_3</ci>
</apply>
<ci>v_Re_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_8_aux</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_Re_4</ci>
<ci>v_Re_2</ci>
</apply>
<ci>v_Re_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_9_aux</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_3</ci>
<ci>v_Re_7</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_10_aux</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_7</ci>
<ci>v_Re_4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_aux</ci>
</apply>
<apply>
<plus/>
<ci>v_Re_1</ci>
<ci>v_Re_5</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_1</ci>
<ci>q_1_init</ci>
</apply>
<apply>
<eq/>
<ci>q_2</ci>
<ci>q_2_init</ci>
</apply>
<apply>
<eq/>
<ci>q_3</ci>
<ci>q_3_init</ci>
</apply>
<apply>
<eq/>
<ci>q_4</ci>
<ci>q_4_init</ci>
</apply>
<apply>
<eq/>
<ci>q_5</ci>
<apply>
<plus/>
<ci>q_5_aux</ci>
<ci>q_5_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_6</ci>
<apply>
<plus/>
<ci>q_6_aux</ci>
<ci>q_6_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_7</ci>
<apply>
<plus/>
<ci>q_7_aux</ci>
<ci>q_7_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_8</ci>
<apply>
<plus/>
<ci>q_8_aux</ci>
<ci>q_8_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_9</ci>
<apply>
<plus/>
<ci>q_9_aux</ci>
<ci>q_9_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_10</ci>
<apply>
<plus/>
<ci>q_10_aux</ci>
<ci>q_10_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_E</ci>
<ci>q_E_init</ci>
</apply>
<apply>
<eq/>
<ci>u_11</ci>
<apply>
<plus/>
<ci>u_5</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>u_1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_12</ci>
<apply>
<plus/>
<ci>u_7</ci>
<ci>u_E</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_13</ci>
<apply>
<plus/>
<ci>u_6</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>u_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_14</ci>
<apply>
<plus/>
<ci>u_3</ci>
<ci>u_7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_15</ci>
<apply>
<plus/>
<ci>u_4</ci>
<ci>u_8</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_16</ci>
<apply>
<minus/>
<ci>u_6</ci>
<ci>u_E</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_17</ci>
<ci>u_5</ci>
</apply>
<!-- Constitu_tive Re_lations-->
<apply>
<eq/>
<ci>u_1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_1</ci>
<ci>q_1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_2</ci>
<ci>q_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_3</ci>
<ci>q_3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_4</ci>
<ci>q_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_5</ci>
<ci>q_5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_6</ci>
<ci>q_6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_7</ci>
<ci>q_7</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_8</ci>
<ci>q_8</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_9</ci>
<ci>q_9</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_q_10</ci>
<ci>q_10</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_E</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<ci>K_E</ci>
<ci>q_E</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_1</ci>
<apply>
<times/>
<ci>K_Re_1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_12</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_2</ci>
<apply>
<times/>
<ci>K_Re_2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_13</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_3</ci>
<apply>
<times/>
<ci>K_Re_3</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_14</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_4</ci>
<apply>
<times/>
<ci>K_Re_4</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_15</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_5</ci>
<apply>
<times/>
<ci>K_Re_5</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_16</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_17</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_6</ci>
<apply>
<times/>
<ci>K_Re_6</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_7</ci>
<apply>
<times/>
<ci>K_Re_7</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>u_10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>