- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2021-11-29 10:33:04+13:00
- Desc:
- Modify the units
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/6bc/rawfile/9915b3b7ab67814181ffc82e17a7c152d5913065/BG/gate_m3h_BG.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- The BG of the gating process for Na channel in HH model: m3h-->
<model name="gate_m3h_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_BG.cellml">
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="fmol" units_ref="fmol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="per_fmol" units_ref="per_fmol"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S00"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S10"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S20"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S30"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S01"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S11"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S21"/>
</import>
<import xlink:href="C_BG.cellml">
<component component_ref="C_BG" name="C_S31"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m10"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m20"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m30"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m11"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m21"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_m31"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_h0"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_h1"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_h2"/>
</import>
<import xlink:href="gate_BG.cellml">
<component component_ref="gate_BG" name="vRe_h3"/>
</import>
<component name="gate_m3h_BG">
<!--Parameters -->
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable name="q_S00_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S10_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S20_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S30_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S01_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S11_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S21_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="q_S31_init" private_interface="out" public_interface="in" units="fmol"/>
<variable name="K_S00" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S10" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S20" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S30" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S01" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S11" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S21" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="K_S31" private_interface="out" public_interface="in" units="per_fmol"/>
<variable name="kappa_m10" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m20" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m30" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m11" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m21" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m31" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h0" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h1" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h2" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h3" private_interface="out" public_interface="in" units="fmol_per_sec"/>
<variable name="z_m_f" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="z_m_r" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="z_h_f" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="z_h_r" private_interface="out" public_interface="in" units="dimensionless"/>
<!--Inputs-->
<variable name="t" private_interface="out" public_interface="in" units="second"/>
<variable name="mu_p" private_interface="out" public_interface="in" units="J_per_mol"/>
<!--Outputs-->
<variable name="A_g_Na" private_interface="in" public_interface="out" units="J_per_mol"/>
<variable name="v_mh_Na" public_interface="out" units="fmol_per_sec"/>
<!--Intermediate variables-->
<variable name="v_m10" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m20" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m30" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m11" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m21" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m31" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h0" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h1" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h2" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h3" private_interface="in" units="fmol_per_sec"/>
<variable name="v_S00" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S10" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S20" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S30" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S01" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S11" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S21" private_interface="out" units="fmol_per_sec"/>
<variable name="v_S31" private_interface="out" units="fmol_per_sec"/>
<variable name="v_m10_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m20_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m30_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m11_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m21_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_m31_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h0_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h1_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h2_Na" private_interface="in" units="fmol_per_sec"/>
<variable name="v_h3_Na" private_interface="in" units="fmol_per_sec"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>v_S00</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m10</ci>
</apply>
<ci>v_h0</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S10</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m10</ci>
<ci>v_m20</ci>
</apply>
<ci>v_h1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S20</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m20</ci>
<ci>v_m30</ci>
</apply>
<ci>v_h2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S30</ci>
<apply>
<minus/>
<ci>v_m30</ci>
<ci>v_h3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S01</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m11</ci>
</apply>
<ci>v_h0</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S11</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m11</ci>
<ci>v_m21</ci>
</apply>
<ci>v_h1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S21</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m21</ci>
<ci>v_m31</ci>
</apply>
<ci>v_h2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S31</ci>
<apply>
<plus/>
<ci>v_m31</ci>
<ci>v_h3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_mh_Na</ci>
<apply>
<plus/>
<ci>v_m10_Na</ci>
<ci>v_m20_Na</ci>
<ci>v_m30_Na</ci>
<ci>v_m11_Na</ci>
<ci>v_m21_Na</ci>
<ci>v_m31_Na</ci>
<ci>v_h0_Na</ci>
<ci>v_h1_Na</ci>
<ci>v_h2_Na</ci>
<ci>v_h3_Na</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="gate_m3h_BG">
<component_ref component="C_S00"/>
<component_ref component="C_S10"/>
<component_ref component="C_S20"/>
<component_ref component="C_S30"/>
<component_ref component="C_S01"/>
<component_ref component="C_S11"/>
<component_ref component="C_S21"/>
<component_ref component="C_S31"/>
<component_ref component="vRe_m10"/>
<component_ref component="vRe_m20"/>
<component_ref component="vRe_m30"/>
<component_ref component="vRe_m11"/>
<component_ref component="vRe_m21"/>
<component_ref component="vRe_m31"/>
<component_ref component="vRe_h0"/>
<component_ref component="vRe_h1"/>
<component_ref component="vRe_h2"/>
<component_ref component="vRe_h3"/>
</component_ref>
</group>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S00"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S00_init" variable_2="q_init"/>
<map_variables variable_1="K_S00" variable_2="K"/>
<map_variables variable_1="v_S00" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S10"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S10_init" variable_2="q_init"/>
<map_variables variable_1="K_S10" variable_2="K"/>
<map_variables variable_1="v_S10" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S20"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S20_init" variable_2="q_init"/>
<map_variables variable_1="K_S20" variable_2="K"/>
<map_variables variable_1="v_S20" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S30"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S30_init" variable_2="q_init"/>
<map_variables variable_1="K_S30" variable_2="K"/>
<map_variables variable_1="v_S30" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S01"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S01_init" variable_2="q_init"/>
<map_variables variable_1="K_S01" variable_2="K"/>
<map_variables variable_1="v_S01" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S11"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S11_init" variable_2="q_init"/>
<map_variables variable_1="K_S11" variable_2="K"/>
<map_variables variable_1="v_S11" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S21"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S21_init" variable_2="q_init"/>
<map_variables variable_1="K_S21" variable_2="K"/>
<map_variables variable_1="v_S21" variable_2="v"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="C_S31"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_S31_init" variable_2="q_init"/>
<map_variables variable_1="K_S31" variable_2="K"/>
<map_variables variable_1="v_S31" variable_2="v"/>
<map_variables variable_1="A_g_Na" variable_2="mu"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m10"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m10" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m10_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m10" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m20"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m20" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m20_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m20" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m30"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m30" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m30_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m30" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m11"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m11" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m11_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m11" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m21"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m21" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m21_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m21" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_m31"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_m_f" variable_2="z_g_f"/>
<map_variables variable_1="z_m_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_m31" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_m31_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_m31" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_h0"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_h_f" variable_2="z_g_f"/>
<map_variables variable_1="z_h_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_h0" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_h0_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_h0" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_h1"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_h_f" variable_2="z_g_f"/>
<map_variables variable_1="z_h_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_h1" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_h1_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_h1" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_h2"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_h_f" variable_2="z_g_f"/>
<map_variables variable_1="z_h_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_h2" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_h2_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_h2" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="gate_m3h_BG" component_2="vRe_h3"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_h_f" variable_2="z_g_f"/>
<map_variables variable_1="z_h_r" variable_2="z_g_r"/>
<map_variables variable_1="kappa_h3" variable_2="kappa_g"/>
<map_variables variable_1="mu_p" variable_2="mu_p"/>
<map_variables variable_1="v_h3_Na" variable_2="v_g_X"/>
<map_variables variable_1="v_h3" variable_2="v_g"/>
</connection>
<connection>
<map_components component_1="C_S00" component_2="vRe_m10"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S10" component_2="vRe_m10"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S10" component_2="vRe_m20"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S20" component_2="vRe_m20"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S20" component_2="vRe_m30"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S30" component_2="vRe_m30"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S01" component_2="vRe_m11"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S11" component_2="vRe_m11"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S11" component_2="vRe_m21"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S21" component_2="vRe_m21"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S21" component_2="vRe_m31"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S31" component_2="vRe_m31"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S00" component_2="vRe_h0"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S01" component_2="vRe_h0"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S10" component_2="vRe_h1"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S11" component_2="vRe_h1"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S20" component_2="vRe_h2"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S21" component_2="vRe_h2"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
<connection>
<map_components component_1="C_S30" component_2="vRe_h3"/>
<map_variables variable_1="mu" variable_2="mu_C"/>
</connection>
<connection>
<map_components component_1="C_S31" component_2="vRe_h3"/>
<map_variables variable_1="mu" variable_2="mu_O"/>
</connection>
</model>
