- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-04-18 15:08:56+12:00
- Desc:
- Add SGLT1 BG without an extra circuit
- Permanent Source URI:
- http://models.cellml.org/workspace/b65/rawfile/1ca0ff10d368d137819511a3dea6d082dcc35710/Facilitated transporter/CellMLV2/GLUT1_kinetic.cellml
<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="GLUT1_kinetic">
<units name="mM">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</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>
<component name="main">
<variable name="t" units="second"/>
<variable name="K_io_e" units="mM" initial_value="1.64"/>
<variable name="K_io_math" units="mM"/>
<variable name="v_io_emax" units="mM_per_s" initial_value="0.0713"/>
<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 name="K_oi_e" units="mM" initial_value="0.145"/>
<variable name="K_oi_math" units="mM"/>
<variable name="v_oi_emax" units="mM_per_s" initial_value="0.00548"/>
<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 name="glu" units="mM" initial_value="1e-8"/>
<variable name="c" units="per_s" initial_value="1113"/>
<variable name="d" units="per_s" initial_value="90.3"/>
<variable name="g" units="per_s" initial_value="12.1"/>
<variable name="h" units="per_s" initial_value="0.726"/>
<variable name="a" units="per_s" initial_value="2000"/>
<variable name="b" units="per_s"/>
<variable name="GC" units="mM" initial_value="6.67e-3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
<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="dimensionless">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>
<times/>
<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>
<cn cellml:units="mM">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>K_io_math</ci>
<apply>
<times/>
<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>
<cn cellml:units="mM">1</cn>
</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>
