- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-08-05 13:59:08+12:00
- Desc:
- Equations, with initial conditions and parameters included
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/6d6/rawfile/ab60ae33485c63669f1712762871109c24756e71/BG_Inhib1.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- PLB Inhib1 module,
5 Aug 21 - not containing PLBphos/PLBdephos reactions (this is a separate module)
Use [Ip_S2] where [Ip] = [Ip_s1] + [Ip_S2]
Use [PKACI_S2] where [PKACI] = [PKACI_S1] + [PKACI_S2]-->
<model name="BG_Inhib1" 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_and_constants/units_BG.cellml">
<units name="per_sec" units_ref="per_sec"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="fmol" units_ref="fmol"/>
<units name="fmol_per_L" units_ref="fmol_per_L"/>
<units name="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
<units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="mM" units_ref="mM"/>
<units name="uM" units_ref="uM"/>
<units name="mM_per_sec" units_ref="mM_per_sec"/>
<units name="uM_per_sec" units_ref="uM_per_sec"/>
<units name="pL" units_ref="pL"/>
<units name="m_to_u" units_ref="m_to_u"/>
</import>
<import xlink:href="units_and_constants/constants_BG.cellml">
<component component_ref="constants" name="constants"/>
</import>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<component name="Inhib1">
<variable name="time" public_interface="in" units="second"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<!-- Inhib1 parameters-->
<variable initial_value="2.91246e+06" name="kappa_PKAi1" units="fmol_per_sec"/>
<variable initial_value="3.09449e-12" name="kappa_PKAi2" units="fmol_per_sec"/>
<variable initial_value="7.49413e-13" name="kappa_PP2ai1" units="fmol_per_sec"/>
<variable initial_value="736451" name="kappa_PP2ai2" units="fmol_per_sec"/>
<variable initial_value="0.0262488" name="K_PKACI_S2" units="per_fmol"/>
<variable initial_value="1.23112e+16" name="K_Ip_S2" units="per_fmol"/>
<variable initial_value="0.000343352" name="K_Ip_PKACI" units="per_fmol"/>
<variable initial_value="0.00650322" name="K_PP2" units="per_fmol"/>
<variable initial_value="8.48665e-05" name="K_Ip_PP2a" units="per_fmol"/>
<variable initial_value="1.38655e-20" name="K_I" units="per_fmol"/>
<variable initial_value="1.117E-03" name="q_PKACI_S2" units="fmol"/>
<variable initial_value="9.994E-04" name="q_Ip_S2" units="fmol"/>
<variable initial_value="1e-13" name="q_Ip_PKACI" units="fmol"/>
<variable initial_value="8.512E-03" name="q_PP2" units="fmol"/>
<variable initial_value="1e-13" name="q_Ip_PP2" units="fmol"/>
<variable initial_value="1.140E-02" name="q_I" units="fmol"/>
<variable name="vPKAi1" units="fmol_per_sec"/>
<variable name="vPKAi2" units="fmol_per_sec"/>
<variable name="vPP2ai1" units="fmol_per_sec"/>
<variable name="vPP2ai2" units="fmol_per_sec"/>
<variable name="mu_PKACI_S2" units="J_per_mol"/>
<variable name="mu_Ip_S2" units="J_per_mol"/>
<variable name="mu_Ip_PKACI" units="J_per_mol"/>
<variable name="mu_PP2a" units="J_per_mol"/>
<variable name="mu_Ip_PP2a" units="J_per_mol"/>
<variable name="mu_I" units="J_per_mol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_PKACI_S2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKACI_S2</ci>
<ci>q_PKACI_S2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ip_S2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ip_S2</ci>
<ci>q_Ip_S2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ip_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ip_PKACI</ci>
<ci>q_Ip_PKACI</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PP2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PP2</ci>
<ci>q_PP2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ip_PP2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ip_PP2a</ci>
<ci>q_Ip_PP2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_I</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_I</ci>
<ci>q_I</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vPKAi1</ci>
<apply>
<times/>
<ci>kappa_PKAi1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PKACI_S2</ci>
<ci>mu_I</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ip_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vPKAi2</ci>
<apply>
<times/>
<ci>kappa_PKAi2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ip_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PKACI_S2</ci>
<ci>mu_Ip_S2</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vPP2ai1</ci>
<apply>
<times/>
<ci>kappa_PP2ai1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PP2a</ci>
<ci>mu_Ip_S2</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ip_PP2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vPP2ai2</ci>
<apply>
<times/>
<ci>kappa_PP2ai2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ip_PP2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PP2a</ci>
<ci>mu_I</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACI_S2</ci>
</apply>
<apply>
<minus/>
<ci>vPKAi2</ci>
<ci>vPKAi1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Ip_S2</ci>
</apply>
<apply>
<minus/>
<ci>vPKAi2</ci>
<ci>vPP2ai1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Ip_PKACI</ci>
</apply>
<apply>
<minus/>
<ci>vPKAi1</ci>
<ci>vPKAi2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PP2</ci>
</apply>
<apply>
<minus/>
<ci>vPP2ai2</ci>
<ci>vPP2ai1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Ip_PP2</ci>
</apply>
<apply>
<minus/>
<ci>vPP2ai1</ci>
<ci>vPP2ai2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_I</ci>
</apply>
<apply>
<minus/>
<ci>vPP2ai2</ci>
<ci>vPKAi1</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="Inhib1"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="constants" component_2="Inhib1"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
</model>