- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-10-19 10:24:37+13:00
- Desc:
- Add readme to link the documentation on overleaf.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/701/rawfile/6741283829975cd4f084159e7734dcbece29f7b1/Components/CB4HM_Cai.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- Four-state cross-bridge model of Hai and Murphy (1988)-->
<model name="CB4HM_Cai" 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="../cellLib/Components/units.cellml">
<units name="per_s" units_ref="per_s"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="ms" units_ref="ms"/>
<units name="mM" units_ref="mM"/>
</import>
<import xlink:href="../cellLib/Components/CB4HM.cellml">
<component component_ref="CB4HM" name="CB4HM"/>
</import>
<import xlink:href="../cellLib/Components/Hillfcn.cellml">
<component component_ref="Hillfcn" name="H_p"/>
</import>
<import xlink:href="../cellLib/Components/Hillfcn.cellml">
<component component_ref="Hillfcn" name="H_n"/>
</import>
<component name="CB4HM_Cai">
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<variable name="C_ms" public_interface="in" units="per_ms"/>
<variable name="M_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="Mp_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="AM_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="AMp_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="MLCK_max" public_interface="in" units="dimensionless"/>
<variable name="K_MLCK" public_interface="in" units="mM"/>
<variable name="K_CaMLCK" public_interface="in" units="mM"/>
<variable name="p_M" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="n_M" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="x_hp" private_interface="out" units="dimensionless"/>
<variable name="x_hn" private_interface="out" units="dimensionless"/>
<variable name="H_p" private_interface="in" units="dimensionless"/>
<variable name="H_n" private_interface="in" units="dimensionless"/>
<variable name="K_1" private_interface="out" units="per_ms"/>
<variable name="K_2" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="K_3" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="K_4" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="K_5" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="K_6" private_interface="out" units="per_ms"/>
<variable name="K_7" private_interface="out" public_interface="in" units="per_ms"/>
<variable name="MLCK" units="dimensionless"/>
<variable name="stress" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="phosphorylation" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="M" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="Mp" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="AM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="AMp" private_interface="in" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>MLCK</ci>
<apply>
<times/>
<ci>MLCK_max</ci>
<ci>H_p</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<times/>
<ci>C_ms</ci>
<ci>MLCK</ci>
<ci>H_n</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_6</ci>
<ci>K_1</ci>
</apply>
<apply>
<eq/>
<ci>x_hp</ci>
<apply>
<divide/>
<ci>Cai</ci>
<ci>K_MLCK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_hn</ci>
<apply>
<divide/>
<ci>K_CaMLCK</ci>
<ci>Cai</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="CB4HM_Cai">
<component_ref component="CB4HM"/>
<component_ref component="H_p"/>
<component_ref component="H_n"/>
</component_ref>
</group>
<connection>
<map_components component_1="CB4HM_Cai" component_2="CB4HM"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="M_init" variable_2="M_init"/>
<map_variables variable_1="Mp_init" variable_2="Mp_init"/>
<map_variables variable_1="AM_init" variable_2="AM_init"/>
<map_variables variable_1="AMp_init" variable_2="AMp_init"/>
<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="K_4" variable_2="K_4"/>
<map_variables variable_1="K_5" variable_2="K_5"/>
<map_variables variable_1="K_6" variable_2="K_6"/>
<map_variables variable_1="K_7" variable_2="K_7"/>
<map_variables variable_1="stress" variable_2="stress"/>
<map_variables variable_1="phosphorylation" variable_2="phosphorylation"/>
<map_variables variable_1="AMp" variable_2="AMp"/>
<map_variables variable_1="AM" variable_2="AM"/>
<map_variables variable_1="Mp" variable_2="Mp"/>
<map_variables variable_1="M" variable_2="M"/>
</connection>
<connection>
<map_components component_1="CB4HM_Cai" component_2="H_p"/>
<map_variables variable_1="x_hp" variable_2="x"/>
<map_variables variable_1="p_M" variable_2="n"/>
<map_variables variable_1="H_p" variable_2="H"/>
</connection>
<connection>
<map_components component_1="CB4HM_Cai" component_2="H_n"/>
<map_variables variable_1="x_hn" variable_2="x"/>
<map_variables variable_1="n_M" variable_2="n"/>
<map_variables variable_1="H_n" variable_2="H"/>
</connection>
</model>
