Location: SLC transporters @ ca447f870d3b / Facilitated transporter / GLUT2_kinetic.cellml
- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-04-19 17:04:11+12:00
- Desc:
- Add bond graph models for ref 2005 fig 3B
- Permanent Source URI:
- http://models.cellml.org/workspace/b65/rawfile/ca447f870d3be12963a885d5acd8da79af2a683d/Facilitated transporter/GLUT2_kinetic.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="GLUT2_kinetic" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<!-- Facilitated diffusion -->
<units name="mM">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="liter"/>
</units>
<units name="mM_per_s">
<unit units="mM"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_s">
<unit exponent="-1" units="second"/>
</units>
<units name="per_s_mM">
<unit exponent="-1" units="second"/>
<unit exponent="-1" units="mM"/>
</units>
<component name="main">
<variable name="t" units="second"/>
<variable initial_value="1.64" name="K_io_e" units="mM"/>
<variable name="K_io_math" units="mM"/>
<variable initial_value="0.0713" name="v_io_emax" units="mM_per_s"/>
<variable name="v_io_max" units="mM_per_s"/>
<variable name="v_io_ss_e" units="mM_per_s"/>
<variable name="v_io_ss" units="mM_per_s"/>
<variable initial_value="0.145" name="K_oi_e" units="mM"/>
<variable name="K_oi_math" units="mM"/>
<variable initial_value="0.00548" name="v_oi_emax" units="mM_per_s"/>
<variable name="v_oi_max" units="mM_per_s"/>
<variable name="v_oi_ss_e" units="mM_per_s"/>
<variable name="v_oi_ss" units="mM_per_s"/>
<variable initial_value="1e-8" name="glu" units="mM"/>
<variable initial_value="1113" name="c" units="per_s"/>
<variable initial_value="90.3" name="d" units="per_s"/>
<variable initial_value="12.1" name="g" units="per_s"/>
<variable initial_value="0.726" name="h" units="per_s"/>
<variable initial_value="2000" name="a" units="per_s_mM"/>
<variable name="b" units="per_s"/>
<variable initial_value="6.67e-3" name="GC" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>glu</ci>
</apply>
<cn cellml:units="mM_per_s">1</cn>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<times/>
<cn cellml:units="mM">9.5</cn>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_io_ss</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>v_io_max</ci>
<ci>glu</ci>
</apply>
<apply>
<plus/>
<ci>K_io_math</ci>
<ci>glu</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_oi_ss</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>v_oi_max</ci>
<ci>glu</ci>
</apply>
<apply>
<plus/>
<ci>K_oi_math</ci>
<ci>glu</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_oi_math</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>g</ci>
<ci>h</ci>
</apply>
<ci>b</ci>
</apply>
<apply>
<times/>
<ci>a</ci>
<apply>
<plus/>
<ci>h</ci>
<ci>c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_io_math</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>b</ci>
<ci>d</ci>
<ci>g</ci>
<apply>
<plus/>
<ci>g</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>h</ci>
<ci>c</ci>
<apply>
<plus/>
<ci>g</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_io_max</ci>
<apply>
<divide/>
<ci>GC</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>g</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_oi_max</ci>
<apply>
<divide/>
<ci>GC</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>c</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>h</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_io_ss_e</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>v_io_emax</ci>
<ci>glu</ci>
</apply>
<apply>
<plus/>
<ci>K_io_e</ci>
<ci>glu</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_oi_ss_e</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>v_oi_emax</ci>
<ci>glu</ci>
</apply>
<apply>
<plus/>
<ci>K_oi_e</ci>
<ci>glu</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>