- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-12-16 14:03:37+13:00
- Desc:
- Init
- Permanent Source URI:
- http://models.cellml.org/workspace/7e8/rawfile/3658dba9638e60010e18bef5e63e81168427d9d8/flatexport.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 8/12/2021 at 4:20:06 at PM using:
COR (0.9.31.1409)
Copyright 2002-2021 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk
CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model name="normalised_hill_B1AR" cmeta:id="normalised_hill_B1AR" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<units xmlns="http://www.cellml.org/cellml/1.0#" name="mM">
<unit units="mole" prefix="milli"/>
</units>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="env">
<variable name="time" units="second"/>
<variable name="NE" units="mM" initial_value="0" public_interface="out"/>
<variable name="B1AR" units="mM" initial_value="0" public_interface="out"/>
<variable name="GRK" units="mM" initial_value="0" public_interface="out"/>
<variable name="B1ARPG" units="mM" initial_value="0" public_interface="out"/>
<variable name="B1ARPA" units="mM" initial_value="0" public_interface="out"/>
<variable name="Gsabg" units="mM" initial_value="0" public_interface="out"/>
<variable name="Gsa" units="mM" initial_value="0" public_interface="out"/>
<variable name="Gsbg" units="mM" initial_value="0" public_interface="out"/>
<variable name="FSK" units="mM" initial_value="0" public_interface="out"/>
<variable name="AC" units="mM" initial_value="0" public_interface="out"/>
<variable name="IBMX" units="mM" initial_value="0" public_interface="out"/>
<variable name="PDE" units="mM" initial_value="0" public_interface="out"/>
<variable name="cAMP" units="mM" initial_value="0" public_interface="out"/>
<variable name="PKA" units="mM" initial_value="0" public_interface="out"/>
<variable name="PKAR" units="mM" initial_value="0" public_interface="out"/>
<variable name="PKI" units="mM" initial_value="0" public_interface="out"/>
<variable name="PKAC" units="mM" initial_value="0" public_interface="out"/>
<variable name="PP2A" units="mM" initial_value="0" public_interface="out"/>
<variable name="IKs" units="mM" initial_value="0" public_interface="out"/>
<variable name="ICa" units="mM" initial_value="0" public_interface="out"/>
<variable name="RyR" units="mM" initial_value="0" public_interface="out"/>
<variable name="Inhib1" units="mM" initial_value="0" public_interface="out"/>
<variable name="TnI" units="mM" initial_value="0" public_interface="out"/>
<variable name="PLB" units="mM" initial_value="0" public_interface="out"/>
<variable name="PP1" units="mM" initial_value="0" public_interface="out"/>
<variable name="tau_NE" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_B1AR" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_GRK" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_B1ARPG" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_B1ARPA" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_Gsabg" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_Gsa" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_Gsbg" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_FSK" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_AC" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_IBMX" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PDE" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_cAMP" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PKA" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PKAR" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PKI" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PKAC" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PP2A" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_IKs" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_ICa" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_RyR" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_Inhib1" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_TnI" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PLB" units="second" initial_value="1" public_interface="out"/>
<variable name="tau_PP1" units="second" initial_value="1" public_interface="out"/>
<variable name="Ymax" units="mM" initial_value="1" public_interface="out"/>
<variable name="EC50_NE_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_B1ARPA_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_B1ARPG_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_B1AR_GRK" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_B1AR_Gsabg" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_GRK_B1ARPG" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_Gsabg_Gsbg" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_Gsabg_Gsa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_Gsa_AC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_AC_cAMP" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_FSK_AC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_IBMX_PDE" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PDE_cAMP" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_cAMP_PKA" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKA_PKAR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKA_PKAC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKI_PKAC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP2A_TnI" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP2A_Inhib1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP2A_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP2A_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_B1ARPA" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_PLB" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_IKs" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_TnI" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PKAC_Inhib1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_Inhib1_PP1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP1_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP1_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP1_IKs" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="EC50_PP1_PLB" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_NE_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_B1ARPA_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_B1ARPG_B1AR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_B1AR_GRK" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_B1AR_Gsabg" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_GRK_B1ARPG" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_Gsabg_Gsbg" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_Gsabg_Gsa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_Gsa_AC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_AC_cAMP" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_FSK_AC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_IBMX_PDE" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PDE_cAMP" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_cAMP_PKA" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKA_PKAR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKA_PKAC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKI_PKAC" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP2A_TnI" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP2A_Inhib1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP2A_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP2A_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_B1ARPA" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_PLB" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_IKs" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_TnI" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PKAC_Inhib1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_Inhib1_PP1" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP1_RyR" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP1_ICa" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP1_IKs" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="W_PP1_PLB" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="n" units="dimensionless" initial_value="1.4" public_interface="out"/>
<variable name="f_act_NE_B1AR" units="dimensionless" public_interface="in"/>
<variable name="f_act_B1AR_GRK" units="dimensionless" public_interface="in"/>
<variable name="f_act_B1AR_Gsabg" units="dimensionless" public_interface="in"/>
<variable name="f_act_GRK_B1ARPG" units="dimensionless" public_interface="in"/>
<variable name="f_act_Gsabg_Gsbg" units="dimensionless" public_interface="in"/>
<variable name="f_act_Gsabg_Gsa" units="dimensionless" public_interface="in"/>
<variable name="f_act_Gsa_AC" units="dimensionless" public_interface="in"/>
<variable name="f_act_AC_cAMP" units="dimensionless" public_interface="in"/>
<variable name="f_act_FSK_AC" units="dimensionless" public_interface="in"/>
<variable name="f_act_cAMP_PKA" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKA_PKAR" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKA_PKAC" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_B1ARPA" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_PLB" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_IKs" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_ICa" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_RyR" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_TnI" units="dimensionless" public_interface="in"/>
<variable name="f_act_PKAC_Inhib1" units="dimensionless" public_interface="in"/>
<variable name="f_inh_B1ARPA_B1AR" units="dimensionless" public_interface="in"/>
<variable name="f_inh_B1ARPG_B1AR" units="dimensionless" public_interface="in"/>
<variable name="f_inh_IBMX_PDE" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PDE_cAMP" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PKI_PKAC" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP2A_TnI" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP2A_Inhib1" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP2A_ICa" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP2A_RyR" units="dimensionless" public_interface="in"/>
<variable name="f_inh_Inhib1_PP1" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP1_RyR" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP1_ICa" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP1_IKs" units="dimensionless" public_interface="in"/>
<variable name="f_inh_PP1_PLB" units="dimensionless" public_interface="in"/>
<variable name="OR_C" units="dimensionless"/>
<variable name="OR_AC_GSA_FSK" units="dimensionless"/>
<variable name="OR_cAMP_AC_PDE" units="dimensionless"/>
<variable name="OR_PKAC_PKA_PKI" units="dimensionless"/>
<variable name="OR_IKs_PKAC_PP1" units="dimensionless"/>
<variable name="OR_ICa_PKAC_PP2A" units="dimensionless"/>
<variable name="OR_RyR_PKAC_PP2A" units="dimensionless"/>
<variable name="OR_Inhib1_PKAC_PP2A" units="dimensionless"/>
<variable name="OR_TnI_PKAC_PP2A" units="dimensionless"/>
<variable name="OR_PLB_PKAC_PP1" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>OR_AC_GSA_FSK</ci>
<apply>
<minus/>
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<plus/>
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<times/>
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</apply>
</apply>
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<apply>
<eq/>
<ci>OR_cAMP_AC_PDE</ci>
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<minus/>
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<plus/>
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<times/>
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<minus/>
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<plus/>
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<times/>
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<apply>
<eq/>
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<apply>
<minus/>
<apply>
<plus/>
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<ci>f_inh_PP1_IKs</ci>
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<times/>
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<eq/>
<ci>OR_ICa_PKAC_PP2A</ci>
<apply>
<minus/>
<apply>
<plus/>
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<times/>
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<apply>
<eq/>
<ci>OR_RyR_PKAC_PP2A</ci>
<apply>
<minus/>
<apply>
<plus/>
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<ci>f_inh_PP2A_RyR</ci>
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<apply>
<times/>
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</apply>
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<apply>
<eq/>
<ci>OR_Inhib1_PKAC_PP2A</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>f_act_PKAC_Inhib1</ci>
<ci>f_inh_PP2A_Inhib1</ci>
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<apply>
<times/>
<ci>f_act_PKAC_Inhib1</ci>
<ci>f_inh_PP2A_Inhib1</ci>
</apply>
</apply>
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<apply>
<eq/>
<ci>OR_TnI_PKAC_PP2A</ci>
<apply>
<minus/>
<apply>
<plus/>
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<ci>f_inh_PP2A_TnI</ci>
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<apply>
<times/>
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<eq/>
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<apply>
<minus/>
<apply>
<plus/>
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<ci>f_inh_PP1_PLB</ci>
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<times/>
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<eq/>
<apply>
<diff/>
<bvar>
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<apply>
<divide/>
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<times/>
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<eq/>
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<diff/>
<bvar>
<ci>time</ci>
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<divide/>
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<minus/>
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<times/>
<ci>f_act_NE_B1AR</ci>
<ci>f_inh_B1ARPG_B1AR</ci>
<ci>f_inh_B1ARPA_B1AR</ci>
<ci>Ymax</ci>
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<ci>B1AR</ci>
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<ci>tau_B1AR</ci>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_B1AR_GRK</ci>
<ci>Ymax</ci>
</apply>
<ci>GRK</ci>
</apply>
<ci>tau_GRK</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>B1ARPG</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_GRK_B1ARPG</ci>
<ci>Ymax</ci>
</apply>
<ci>B1ARPG</ci>
</apply>
<ci>tau_B1ARPG</ci>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
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<ci>B1ARPA</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_PKAC_B1ARPA</ci>
<ci>Ymax</ci>
</apply>
<ci>B1ARPA</ci>
</apply>
<ci>tau_B1ARPA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
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<ci>Gsabg</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_B1AR_Gsabg</ci>
<ci>Ymax</ci>
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<ci>Gsabg</ci>
</apply>
<ci>tau_Gsabg</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
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<ci>Gsa</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_Gsabg_Gsa</ci>
<ci>Ymax</ci>
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<ci>tau_Gsa</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
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<ci>Gsbg</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>f_act_Gsabg_Gsbg</ci>
<ci>Ymax</ci>
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</apply>
<ci>tau_Gsbg</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
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<apply>
<divide/>
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<minus/>
<apply>
<times/>
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<apply>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>OR_AC_GSA_FSK</ci>
<ci>Ymax</ci>
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<ci>tau_AC</ci>
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</apply>
<apply>
<eq/>
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<diff/>
<bvar>
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<ci>IBMX</ci>
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<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>W_IBMX_PDE</ci>
<ci>Ymax</ci>
</apply>
<ci>IBMX</ci>
</apply>
<ci>tau_IBMX</ci>
</apply>
</apply>
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</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_PP2A_RyR_module"/>
<map_variables variable_1="W_PP2A_RyR" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_PP2A_RyR" variable_2="EC50"/>
<map_variables variable_1="PP2A" variable_2="X"/>
<map_variables variable_1="f_inh_PP2A_RyR" variable_2="f_act"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_Inhib1_PP1_module"/>
<map_variables variable_1="W_Inhib1_PP1" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_Inhib1_PP1" variable_2="EC50"/>
<map_variables variable_1="Inhib1" variable_2="X"/>
<map_variables variable_1="f_inh_Inhib1_PP1" variable_2="f_act"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_PP1_RyR_module"/>
<map_variables variable_1="W_PP1_RyR" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_PP1_RyR" variable_2="EC50"/>
<map_variables variable_1="PP1" variable_2="X"/>
<map_variables variable_1="f_inh_PP1_RyR" variable_2="f_act"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_PP1_ICa_module"/>
<map_variables variable_1="W_PP1_ICa" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_PP1_ICa" variable_2="EC50"/>
<map_variables variable_1="PP1" variable_2="X"/>
<map_variables variable_1="f_inh_PP1_ICa" variable_2="f_act"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_PP1_IKs_module"/>
<map_variables variable_1="W_PP1_IKs" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_PP1_IKs" variable_2="EC50"/>
<map_variables variable_1="PP1" variable_2="X"/>
<map_variables variable_1="f_inh_PP1_IKs" variable_2="f_act"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="env" component_2="f_PP1_PLB_module"/>
<map_variables variable_1="W_PP1_PLB" variable_2="W"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="EC50_PP1_PLB" variable_2="EC50"/>
<map_variables variable_1="PP1" variable_2="X"/>
<map_variables variable_1="f_inh_PP1_PLB" variable_2="f_act"/>
</connection>
</model>
