Location: SLC transporters @ 39304d73b18a / Facilitated transporter / GLUT1_ss_io.cellml
- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-04-03 14:25:59+13:00
- Desc:
- update the param files
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/b65/rawfile/39304d73b18ad8ff0a68e0ffb2d4d1caee5d8f7d/Facilitated transporter/GLUT1_ss_io.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_ss_io.cellml">
<component component_ref="params_BG" name="params_BG"/>
</import>
<component name="GLUT1_BG">
<variable name="t" public_interface="in" units="second"/>
<variable name="K_Ai" public_interface="in" units="per_fmol"/>
<variable name="K_Ao" public_interface="in" units="per_fmol"/>
<variable name="K_1" public_interface="in" units="per_fmol"/>
<variable name="K_2" public_interface="in" units="per_fmol"/>
<variable name="K_3" public_interface="in" units="per_fmol"/>
<variable name="K_4" public_interface="in" units="per_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="q_Ai" public_interface="in" units="fmol"/>
<variable name="q_Ao" public_interface="in" units="fmol"/>
<variable name="lambda" units="dimensionless"/>
<variable name="q_tot" public_interface="in" units="fmol"/>
<variable name="v_max" units="fmol_per_s"/>
<variable name="k_m_1" units="dimensionless"/>
<variable name="k_m_2" units="dimensionless"/>
<variable name="k_m_3" units="dimensionless"/>
<variable name="v" units="fmol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda</ci>
<apply>
<divide/>
<ci>kappa_r2</ci>
<ci>kappa_r1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_max</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>q_tot</ci>
<ci>kappa_r2</ci>
<ci>K_3</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_1</ci>
</apply>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_m_1</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_1</ci>
</apply>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_4</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>lambda</ci>
<ci>K_3</ci>
</apply>
<ci>K_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_m_2</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_1</ci>
</apply>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_4</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>lambda</ci>
<ci>K_3</ci>
</apply>
<ci>K_1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_m_3</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_1</ci>
</apply>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_4</ci>
</apply>
</apply>
<apply>
<times/>
<ci>lambda</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_3</ci>
<ci>K_2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>v_max</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_Ao</ci>
<ci>q_Ao</ci>
</apply>
<apply>
<times/>
<ci>K_Ai</ci>
<ci>q_Ai</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Ao</ci>
<ci>q_Ao</ci>
</apply>
<ci>k_m_1</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Ai</ci>
<ci>q_Ai</ci>
</apply>
<ci>k_m_2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Ao</ci>
<ci>q_Ao</ci>
<ci>K_Ai</ci>
<ci>q_Ai</ci>
</apply>
<ci>k_m_3</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="params_BG" component_2="GLUT1_BG"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="K_Ai" variable_2="K_Ai"/>
<map_variables variable_1="K_Ao" variable_2="K_Ao"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
<map_variables variable_1="K_2" variable_2="K_2"/>
<map_variables variable_1="K_3" variable_2="K_3"/>
<map_variables variable_1="q_init_Ai" variable_2="q_Ai"/>
<map_variables variable_1="q_init_Ao" variable_2="q_Ao"/>
<map_variables variable_1="K_4" variable_2="K_4"/>
<map_variables variable_1="E" variable_2="q_tot"/>
<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>