- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-03-26 11:05:55+13:00
- Desc:
- Add steady state models
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/b65/rawfile/bd1739982e5279efee0e76a7d7ca81fb316fabcc/Facilitated transporter/params_BG_fit_ss_io.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="params_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_per_s" units_ref="fmol_per_s"/>
<units name="J_per_K_mol" units_ref="J_per_K_mol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="fmol" units_ref="fmol"/>
<units name="per_s" units_ref="per_s"/>
<units name="pL" units_ref="pL"/>
<units name="uM" units_ref="uM"/>
<units name="mM" units_ref="mM"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
</import>
<units name="per_fmol_s">
<unit exponent="-1" units="fmol"/>
<unit units="per_s"/>
</units>
<units name="amol">
<unit prefix="atto" units="mole"/>
</units>
<component name="params_BG">
<variable name="t" public_interface="out" units="second"/>
<variable initial_value="8.31" name="R" public_interface="out" units="J_per_K_mol"/>
<variable initial_value="273.15" name="T" public_interface="out" units="kelvin"/>
<variable name="K_Ai" public_interface="out" units="per_fmol"/>
<variable name="q_init_Ai" public_interface="out" units="fmol"/>
<variable name="K_Ao" public_interface="out" units="per_fmol"/>
<variable name="q_init_Ao" public_interface="out" units="fmol"/>
<variable initial_value="1e-6" name="K_1" public_interface="out" units="per_fmol"/>
<variable initial_value="0.1501" name="q_init_1" public_interface="out" units="fmol"/>
<variable name="K_2" public_interface="out" units="per_fmol"/>
<variable initial_value="0.1501" name="q_init_2" public_interface="out" units="fmol"/>
<variable initial_value="1e-5" name="K_3" public_interface="out" units="per_fmol"/>
<variable initial_value="0.1501" name="q_init_3" public_interface="out" units="fmol"/>
<variable name="K_4" public_interface="out" units="per_fmol"/>
<variable initial_value="0.1501" name="q_init_4" public_interface="out" units="fmol"/>
<variable name="kappa_r1" public_interface="out" units="fmol_per_s"/>
<variable name="kappa_r2" public_interface="out" units="fmol_per_s"/>
<variable name="kappa_r3" public_interface="out" units="fmol_per_s"/>
<variable name="kappa_r4" public_interface="out" units="fmol_per_s"/>
<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="1000" name="a" units="per_fmol_s"/>
<variable name="b" units="per_s"/>
<variable name="E" public_interface="out" units="fmol"/>
<!-- GC: the concentrationof glucose carrier molecules-->
<variable initial_value="6.67" name="GC" units="uM"/>
<variable initial_value="90" name="V_i" units="pL"/>
<!-- the intracelluar glucose concentration-->
<variable initial_value="0" name="g_i" units="mM"/>
<!-- the intracelluar glucose concentration-->
<variable initial_value="0" name="g_o" units="mM"/>
<variable initial_value="90" name="V_o" public_interface="out" units="pL"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_3</ci>
<ci>c</ci>
</apply>
<ci>d</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_4</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_1</ci>
<ci>h</ci>
</apply>
<ci>g</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_Ao</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>K_2</ci>
<ci>K_1</ci>
</apply>
<ci>a</ci>
</apply>
<ci>b</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>b</ci>
<apply>
<times/>
<cn cellml:units="fmol">9.5</cn>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_Ai</ci>
<ci>K_Ao</ci>
</apply>
<apply>
<eq/>
<ci>kappa_r1</ci>
<apply>
<divide/>
<ci>h</ci>
<ci>K_4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>kappa_r2</ci>
<apply>
<divide/>
<ci>c</ci>
<ci>K_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>kappa_r3</ci>
<apply>
<divide/>
<ci>b</ci>
<ci>K_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>kappa_r4</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_r3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>E</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>GC</ci>
<ci>V_i</ci>
<cn cellml:units="fmol">1</cn>
</apply>
<cn cellml:units="amol">1000</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>q_init_Ao</ci>
<apply>
<times/>
<ci>g_o</ci>
<ci>V_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_init_Ai</ci>
<apply>
<times/>
<ci>g_i</ci>
<ci>V_i</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>g_i</ci>
</apply>
<cn cellml:units="mM_per_s">1</cn>
</apply>
</math>
<!-- q_init_3 = E/4{dimensionless};
q_init_4 = E/4{dimensionless};
q_init_5 = E/4{dimensionless};
q_init_6 = E/4{dimensionless};-->
</component>
</model>
