Location: SLC transporters @ 1acfe8e08917 / Facilitated transporter / GLUT1_BG.cellml
- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-03-25 17:13:10+13:00
- Desc:
- Modify the model to reflect the change in Peter's lecture note
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/b65/rawfile/1acfe8e0891752c3cad4dbd50af1bbbd81d6e3b9/Facilitated transporter/GLUT1_BG.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="GLUT1_BG" 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="fmol" units_ref="fmol"/>
<units name="J_per_K_mol" units_ref="J_per_K_mol"/>
<units name="fmol_per_s" units_ref="fmol_per_s"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="per_fmol" units_ref="per_fmol"/>
</import>
<import xlink:href="params_BG_fit.cellml">
<component component_ref="params_BG" name="params_BG"/>
</import>
<component name="GLUT1_BG">
<variable name="t" units="second"/>
<variable name="R" public_interface="in" units="J_per_K_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="K_Ai" public_interface="in" units="per_fmol"/>
<variable name="q_init_Ai" public_interface="in" units="fmol"/>
<variable name="K_Ao" public_interface="in" units="per_fmol"/>
<variable name="q_init_Ao" public_interface="in" units="fmol"/>
<variable name="K_1" public_interface="in" units="per_fmol"/>
<variable name="q_init_1" public_interface="in" units="fmol"/>
<variable name="K_2" public_interface="in" units="per_fmol"/>
<variable name="q_init_2" public_interface="in" units="fmol"/>
<variable name="K_3" public_interface="in" units="per_fmol"/>
<variable name="q_init_3" public_interface="in" units="fmol"/>
<variable name="K_4" public_interface="in" units="per_fmol"/>
<variable name="q_init_4" public_interface="in" units="fmol"/>
<variable name="kappa_r1" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r2" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r3" public_interface="in" units="fmol_per_s"/>
<variable name="kappa_r4" public_interface="in" units="fmol_per_s"/>
<variable name="mu_Ai" units="J_per_mol"/>
<variable name="v_Ai" units="fmol_per_s"/>
<variable name="mu_Ao" units="J_per_mol"/>
<variable name="v_Ao" units="fmol_per_s"/>
<variable name="mu_1" units="J_per_mol"/>
<variable name="v_1" units="fmol_per_s"/>
<variable name="mu_2" units="J_per_mol"/>
<variable name="v_2" units="fmol_per_s"/>
<variable name="mu_3" units="J_per_mol"/>
<variable name="v_3" units="fmol_per_s"/>
<variable name="mu_4" units="J_per_mol"/>
<variable name="v_4" units="fmol_per_s"/>
<variable name="A_f_r1" units="J_per_mol"/>
<variable name="v_r1" units="fmol_per_s"/>
<variable name="A_r_r1" units="J_per_mol"/>
<variable name="A_f_r2" units="J_per_mol"/>
<variable name="v_r2" units="fmol_per_s"/>
<variable name="A_r_r2" units="J_per_mol"/>
<variable name="A_f_r3" units="J_per_mol"/>
<variable name="v_r3" units="fmol_per_s"/>
<variable name="A_r_r3" units="J_per_mol"/>
<variable name="A_f_r4" units="J_per_mol"/>
<variable name="v_r4" units="fmol_per_s"/>
<variable name="A_r_r4" units="J_per_mol"/>
<variable name="q_Ai" units="fmol"/>
<variable name="q_Ao" units="fmol"/>
<variable initial_value="q_init_1" name="q_1" units="fmol"/>
<variable initial_value="q_init_2" name="q_2" units="fmol"/>
<variable initial_value="q_init_3" name="q_3" units="fmol"/>
<variable initial_value="q_init_4" name="q_4" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_Ai</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ai</ci>
<ci>q_Ai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Ai</ci>
<ci>q_init_Ai</ci>
</apply>
<!-- ode(q_Ai,t) = v_Ai;-->
<apply>
<eq/>
<ci>mu_Ao</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ao</ci>
<ci>q_Ao</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Ao</ci>
<ci>q_init_Ao</ci>
</apply>
<!-- ode(q_Ao,t) = v_Ao;-->
<apply>
<eq/>
<ci>mu_1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_1</ci>
<ci>q_1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1</ci>
</apply>
<ci>v_1</ci>
</apply>
<apply>
<eq/>
<ci>mu_2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2</ci>
<ci>q_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_2</ci>
</apply>
<ci>v_2</ci>
</apply>
<apply>
<eq/>
<ci>mu_3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_3</ci>
<ci>q_3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_3</ci>
</apply>
<ci>v_3</ci>
</apply>
<apply>
<eq/>
<ci>mu_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_4</ci>
<ci>q_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_4</ci>
</apply>
<ci>v_4</ci>
</apply>
<apply>
<eq/>
<ci>v_r1</ci>
<apply>
<times/>
<ci>kappa_r1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r2</ci>
<apply>
<times/>
<ci>kappa_r2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r3</ci>
<apply>
<times/>
<ci>kappa_r3</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r4</ci>
<apply>
<times/>
<ci>kappa_r4</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f_r4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r_r4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Ai</ci>
<ci>v_r4</ci>
</apply>
<apply>
<eq/>
<ci>v_Ao</ci>
<apply>
<minus/>
<ci>v_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_1</ci>
<apply>
<minus/>
<ci>v_r1</ci>
<ci>v_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_2</ci>
<apply>
<minus/>
<ci>v_r3</ci>
<ci>v_r2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_3</ci>
<apply>
<minus/>
<ci>v_r2</ci>
<ci>v_r4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_4</ci>
<apply>
<minus/>
<ci>v_r4</ci>
<ci>v_r1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_f_r1</ci>
<ci>mu_4</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r1</ci>
<ci>mu_1</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r2</ci>
<ci>mu_2</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r2</ci>
<ci>mu_3</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r3</ci>
<apply>
<plus/>
<ci>mu_Ao</ci>
<ci>mu_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_r_r3</ci>
<ci>mu_2</ci>
</apply>
<apply>
<eq/>
<ci>A_f_r4</ci>
<ci>mu_3</ci>
</apply>
<apply>
<eq/>
<ci>A_r_r4</ci>
<apply>
<plus/>
<ci>mu_Ai</ci>
<ci>mu_4</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="params_BG" component_2="GLUT1_BG"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="K_Ai" variable_2="K_Ai"/>
<map_variables variable_1="q_init_Ai" variable_2="q_init_Ai"/>
<map_variables variable_1="K_Ao" variable_2="K_Ao"/>
<map_variables variable_1="q_init_Ao" variable_2="q_init_Ao"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
<map_variables variable_1="q_init_1" variable_2="q_init_1"/>
<map_variables variable_1="K_2" variable_2="K_2"/>
<map_variables variable_1="q_init_2" variable_2="q_init_2"/>
<map_variables variable_1="K_3" variable_2="K_3"/>
<map_variables variable_1="q_init_3" variable_2="q_init_3"/>
<map_variables variable_1="K_4" variable_2="K_4"/>
<map_variables variable_1="q_init_4" variable_2="q_init_4"/>
<map_variables variable_1="kappa_r1" variable_2="kappa_r1"/>
<map_variables variable_1="kappa_r2" variable_2="kappa_r2"/>
<map_variables variable_1="kappa_r3" variable_2="kappa_r3"/>
<map_variables variable_1="kappa_r4" variable_2="kappa_r4"/>
</connection>
</model>