- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-11-17 10:26:39+13:00
- Desc:
- Using sympy for rational nullspace
- Permanent Source URI:
- https://models.cellml.org/workspace/6cc/rawfile/959a1eab6b859e88de73c065526e3aff5828cd39/BG_PKA.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="BG_PKA" 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"/>
<variable initial_value="3.212E-02" name="q_cAMP_init" units="fmol"/>
<variable initial_value="6.840E-03" name="q_PKI_init" units="fmol"/>
<variable initial_value="2.242E-02" name="q_PKACI_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_ARCI_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_A2RCI_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_CI_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_A2RI_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_PKACI_PKI_init" units="fmol"/>
<variable initial_value="9.500E-04" name="q_PKACII_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_ARCII_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_A2RCII_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_CII_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_A2RII_init" units="fmol"/>
<variable initial_value="3.800E-15" name="q_PKACII_PKI_init" units="fmol"/>
<!-- Global value-->
<variable name="q_cAMP" public_interface="out" units="fmol"/>
<variable name="q_PKI" public_interface="out" units="fmol"/>
<variable name="q_PKACI" public_interface="out" units="fmol"/>
<variable name="q_ARCI" public_interface="out" units="fmol"/>
<variable name="q_A2RCI" public_interface="out" units="fmol"/>
<variable name="q_CI" public_interface="out" units="fmol"/>
<variable name="q_A2RI" public_interface="out" units="fmol"/>
<variable name="q_PKACI_PKI" public_interface="out" units="fmol"/>
<variable name="q_PKACII" public_interface="out" units="fmol"/>
<variable name="q_ARCII" public_interface="out" units="fmol"/>
<variable name="q_A2RCII" public_interface="out" units="fmol"/>
<variable name="q_CII" public_interface="out" units="fmol"/>
<variable name="q_A2RII" public_interface="out" units="fmol"/>
<variable name="q_PKACII_PKI" public_interface="out" units="fmol"/>
<!-- From submodule-->
<variable name="q_cAMP_mPKA" public_interface="in" units="fmol"/>
<variable name="q_PKI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_PKACI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_ARCI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_A2RCI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_CI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_A2RI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_PKACI_PKI_mPKA" public_interface="in" units="fmol"/>
<variable name="q_PKACII_mPKA" public_interface="in" units="fmol"/>
<variable name="q_ARCII_mPKA" public_interface="in" units="fmol"/>
<variable name="q_A2RCII_mPKA" public_interface="in" units="fmol"/>
<variable name="q_CII_mPKA" public_interface="in" units="fmol"/>
<variable name="q_A2RII_mPKA" public_interface="in" units="fmol"/>
<variable name="q_PKACII_PKI_mPKA" public_interface="in" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_cAMP</ci>
<apply>
<plus/>
<ci>q_cAMP_mPKA</ci>
<ci>q_cAMP_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKI</ci>
<apply>
<plus/>
<ci>q_PKI_mPKA</ci>
<ci>q_PKI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKACI</ci>
<apply>
<plus/>
<ci>q_PKACI_mPKA</ci>
<ci>q_PKACI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_ARCI</ci>
<apply>
<plus/>
<ci>q_ARCI_mPKA</ci>
<ci>q_ARCI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_A2RCI</ci>
<apply>
<plus/>
<ci>q_A2RCI_mPKA</ci>
<ci>q_A2RCI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_CI</ci>
<apply>
<plus/>
<ci>q_CI_mPKA</ci>
<ci>q_CI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_A2RI</ci>
<apply>
<plus/>
<ci>q_A2RI_mPKA</ci>
<ci>q_A2RI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKACI_PKI</ci>
<apply>
<plus/>
<ci>q_PKACI_PKI_mPKA</ci>
<ci>q_PKACI_PKI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKACII</ci>
<apply>
<plus/>
<ci>q_PKACII_mPKA</ci>
<ci>q_PKACII_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_ARCII</ci>
<apply>
<plus/>
<ci>q_ARCII_mPKA</ci>
<ci>q_ARCII_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_A2RCII</ci>
<apply>
<plus/>
<ci>q_A2RCII_mPKA</ci>
<ci>q_A2RCII_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_CII</ci>
<apply>
<plus/>
<ci>q_CII_mPKA</ci>
<ci>q_CII_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_A2RII</ci>
<apply>
<plus/>
<ci>q_A2RII_mPKA</ci>
<ci>q_A2RII_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKACII_PKI</ci>
<apply>
<plus/>
<ci>q_PKACII_PKI_mPKA</ci>
<ci>q_PKACII_PKI_init</ci>
</apply>
</apply>
</math>
</component>
<component name="PKA_parameters">
<variable initial_value="48.0417" name="kappa_aI" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="21.1895" name="kappa_bI" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="4.84331" name="kappa_dI" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="149.139" name="kappa_iI" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="48.0417" name="kappa_aII" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="21.1895" name="kappa_bII" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="4.84331" name="kappa_dII" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="149.139" name="kappa_iII" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0401879" name="K_cAMP" public_interface="out" units="per_fmol"/>
<variable initial_value="14.3814" name="K_PKI" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0478876" name="K_PKACI" public_interface="out" units="per_fmol"/>
<variable initial_value="0.605095" name="K_ARCI" public_interface="out" units="per_fmol"/>
<variable initial_value="1.3719" name="K_A2RCI" public_interface="out" units="per_fmol"/>
<variable initial_value="1.96997" name="K_CI" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0885687" name="K_A2RI" public_interface="out" units="per_fmol"/>
<variable initial_value="0.194918" name="K_PKACI_PKI" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0478876" name="K_PKACII" public_interface="out" units="per_fmol"/>
<variable initial_value="0.605095" name="K_ARCII" public_interface="out" units="per_fmol"/>
<variable initial_value="1.3719" name="K_A2RCII" public_interface="out" units="per_fmol"/>
<variable initial_value="1.96997" name="K_CII" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0885687" name="K_A2RII" public_interface="out" units="per_fmol"/>
<variable initial_value="0.194918" name="K_PKACII_PKI" public_interface="out" units="per_fmol"/>
</component>
<!-- active catalytic subunit of PKA is called C
CI and CII for type I and II PKA holoenzymes-->
<component name="PKA">
<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"/>
<!-- PKA parameters-->
<variable name="kappa_aI" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_bI" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_dI" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_iI" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_aII" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_bII" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_dII" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_iII" public_interface="in" units="fmol_per_sec"/>
<variable name="K_cAMP" public_interface="in" units="per_fmol"/>
<variable name="K_PKI" public_interface="in" units="per_fmol"/>
<variable name="K_PKACI" public_interface="in" units="per_fmol"/>
<variable name="K_ARCI" public_interface="in" units="per_fmol"/>
<variable name="K_A2RCI" public_interface="in" units="per_fmol"/>
<variable name="K_CI" public_interface="in" units="per_fmol"/>
<variable name="K_A2RI" public_interface="in" units="per_fmol"/>
<variable name="K_PKACI_PKI" public_interface="in" units="per_fmol"/>
<variable name="K_PKACII" public_interface="in" units="per_fmol"/>
<variable name="K_ARCII" public_interface="in" units="per_fmol"/>
<variable name="K_A2RCII" public_interface="in" units="per_fmol"/>
<variable name="K_CII" public_interface="in" units="per_fmol"/>
<variable name="K_A2RII" public_interface="in" units="per_fmol"/>
<variable name="K_PKACII_PKI" public_interface="in" units="per_fmol"/>
<variable name="vaI" units="fmol_per_sec"/>
<variable name="vbI" units="fmol_per_sec"/>
<variable name="vdI" units="fmol_per_sec"/>
<variable name="viI" units="fmol_per_sec"/>
<variable name="vaII" units="fmol_per_sec"/>
<variable name="vbII" units="fmol_per_sec"/>
<variable name="vdII" units="fmol_per_sec"/>
<variable name="viII" units="fmol_per_sec"/>
<variable name="mu_cAMP" units="J_per_mol"/>
<variable name="mu_PKI" units="J_per_mol"/>
<variable name="mu_PKACI" units="J_per_mol"/>
<variable name="mu_ARCI" units="J_per_mol"/>
<variable name="mu_A2RCI" units="J_per_mol"/>
<variable name="mu_CI" units="J_per_mol"/>
<variable name="mu_A2RI" units="J_per_mol"/>
<variable name="mu_PKACI_PKI" units="J_per_mol"/>
<variable name="mu_PKACII" units="J_per_mol"/>
<variable name="mu_ARCII" units="J_per_mol"/>
<variable name="mu_A2RCII" units="J_per_mol"/>
<variable name="mu_CII" units="J_per_mol"/>
<variable name="mu_A2RII" units="J_per_mol"/>
<variable name="mu_PKACII_PKI" units="J_per_mol"/>
<!-- Input from global environment-->
<variable name="q_cAMP_global" public_interface="in" units="fmol"/>
<variable name="q_PKI_global" public_interface="in" units="fmol"/>
<variable name="q_PKACI_global" public_interface="in" units="fmol"/>
<variable name="q_ARCI_global" public_interface="in" units="fmol"/>
<variable name="q_A2RCI_global" public_interface="in" units="fmol"/>
<variable name="q_CI_global" public_interface="in" units="fmol"/>
<variable name="q_A2RI_global" public_interface="in" units="fmol"/>
<variable name="q_PKACI_PKI_global" public_interface="in" units="fmol"/>
<variable name="q_PKACII_global" public_interface="in" units="fmol"/>
<variable name="q_ARCII_global" public_interface="in" units="fmol"/>
<variable name="q_A2RCII_global" public_interface="in" units="fmol"/>
<variable name="q_CII_global" public_interface="in" units="fmol"/>
<variable name="q_A2RII_global" public_interface="in" units="fmol"/>
<variable name="q_PKACII_PKI_global" public_interface="in" units="fmol"/>
<!-- Output to global environment-->
<variable initial_value="1e-16" name="q_cAMP" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_PKI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_PKACI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_ARCI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_A2RCI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_CI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_A2RI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_PKACI_PKI" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_PKACII" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_ARCII" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_A2RCII" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_CII" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_A2RII" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_PKACII_PKI" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_cAMP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_cAMP</ci>
<ci>q_cAMP_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PKI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKI</ci>
<ci>q_PKI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKACI</ci>
<ci>q_PKACI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_ARCI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_ARCI</ci>
<ci>q_ARCI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_A2RCI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_A2RCI</ci>
<ci>q_A2RCI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_CI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_CI</ci>
<ci>q_CI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_A2RI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_A2RI</ci>
<ci>q_A2RI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PKACI_PKI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKACI_PKI</ci>
<ci>q_PKACI_PKI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PKACII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKACII</ci>
<ci>q_PKACII_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_ARCII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_ARCII</ci>
<ci>q_ARCII_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_A2RCII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_A2RCII</ci>
<ci>q_A2RCII_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_CII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_CII</ci>
<ci>q_CII_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_A2RII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_A2RII</ci>
<ci>q_A2RII_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PKACII_PKI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PKACII_PKI</ci>
<ci>q_PKACII_PKI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vaI</ci>
<apply>
<times/>
<ci>kappa_aI</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PKACI</ci>
<ci>mu_cAMP</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_ARCI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vbI</ci>
<apply>
<times/>
<ci>kappa_bI</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_ARCI</ci>
<ci>mu_cAMP</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_A2RCI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vdI</ci>
<apply>
<times/>
<ci>kappa_dI</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_A2RCI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_A2RI</ci>
<ci>mu_CI</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>viI</ci>
<apply>
<times/>
<ci>kappa_iI</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_CI</ci>
<ci>mu_PKI</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_PKACI_PKI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vaII</ci>
<apply>
<times/>
<ci>kappa_aII</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PKACII</ci>
<ci>mu_cAMP</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_ARCII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vbII</ci>
<apply>
<times/>
<ci>kappa_bII</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_ARCII</ci>
<ci>mu_cAMP</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_A2RCII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vdII</ci>
<apply>
<times/>
<ci>kappa_dII</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_A2RCII</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_A2RII</ci>
<ci>mu_CII</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>viII</ci>
<apply>
<times/>
<ci>kappa_iII</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_CII</ci>
<ci>mu_PKI</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_PKACII_PKI</ci>
<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_cAMP</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>vaI</ci>
</apply>
<ci>vbI</ci>
</apply>
<ci>vaII</ci>
</apply>
<ci>vbII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKI</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>viI</ci>
</apply>
<ci>viII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACI</ci>
</apply>
<apply>
<minus/>
<ci>vaI</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_ARCI</ci>
</apply>
<apply>
<minus/>
<ci>vaI</ci>
<ci>vbI</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_A2RCI</ci>
</apply>
<apply>
<minus/>
<ci>vbI</ci>
<ci>vdI</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_CI</ci>
</apply>
<apply>
<minus/>
<ci>vdI</ci>
<ci>viI</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_A2RI</ci>
</apply>
<ci>vdI</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACI_PKI</ci>
</apply>
<ci>viI</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACII</ci>
</apply>
<apply>
<minus/>
<ci>vaII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_ARCII</ci>
</apply>
<apply>
<minus/>
<ci>vaII</ci>
<ci>vbII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_A2RCII</ci>
</apply>
<apply>
<minus/>
<ci>vbII</ci>
<ci>vdII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_CII</ci>
</apply>
<apply>
<minus/>
<ci>vdII</ci>
<ci>viII</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_A2RII</ci>
</apply>
<ci>vdII</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACII_PKI</ci>
</apply>
<ci>viII</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="PKA"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="q_cAMP_mPKA" variable_2="q_cAMP"/>
<map_variables variable_1="q_cAMP" variable_2="q_cAMP_global"/>
<map_variables variable_1="q_PKI_mPKA" variable_2="q_PKI"/>
<map_variables variable_1="q_PKI" variable_2="q_PKI_global"/>
<map_variables variable_1="q_PKACI_mPKA" variable_2="q_PKACI"/>
<map_variables variable_1="q_PKACI" variable_2="q_PKACI_global"/>
<map_variables variable_1="q_ARCI_mPKA" variable_2="q_ARCI"/>
<map_variables variable_1="q_ARCI" variable_2="q_ARCI_global"/>
<map_variables variable_1="q_A2RCI_mPKA" variable_2="q_A2RCI"/>
<map_variables variable_1="q_A2RCI" variable_2="q_A2RCI_global"/>
<map_variables variable_1="q_CI_mPKA" variable_2="q_CI"/>
<map_variables variable_1="q_CI" variable_2="q_CI_global"/>
<map_variables variable_1="q_A2RI_mPKA" variable_2="q_A2RI"/>
<map_variables variable_1="q_A2RI" variable_2="q_A2RI_global"/>
<map_variables variable_1="q_PKACI_PKI_mPKA" variable_2="q_PKACI_PKI"/>
<map_variables variable_1="q_PKACI_PKI" variable_2="q_PKACI_PKI_global"/>
<map_variables variable_1="q_PKACII_mPKA" variable_2="q_PKACII"/>
<map_variables variable_1="q_PKACII" variable_2="q_PKACII_global"/>
<map_variables variable_1="q_ARCII_mPKA" variable_2="q_ARCII"/>
<map_variables variable_1="q_ARCII" variable_2="q_ARCII_global"/>
<map_variables variable_1="q_A2RCII_mPKA" variable_2="q_A2RCII"/>
<map_variables variable_1="q_A2RCII" variable_2="q_A2RCII_global"/>
<map_variables variable_1="q_CII_mPKA" variable_2="q_CII"/>
<map_variables variable_1="q_CII" variable_2="q_CII_global"/>
<map_variables variable_1="q_A2RII_mPKA" variable_2="q_A2RII"/>
<map_variables variable_1="q_A2RII" variable_2="q_A2RII_global"/>
<map_variables variable_1="q_PKACII_PKI_mPKA" variable_2="q_PKACII_PKI"/>
<map_variables variable_1="q_PKACII_PKI" variable_2="q_PKACII_PKI_global"/>
</connection>
<connection>
<map_components component_1="PKA_parameters" component_2="PKA"/>
<map_variables variable_1="kappa_aI" variable_2="kappa_aI"/>
<map_variables variable_1="kappa_bI" variable_2="kappa_bI"/>
<map_variables variable_1="kappa_dI" variable_2="kappa_dI"/>
<map_variables variable_1="kappa_iI" variable_2="kappa_iI"/>
<map_variables variable_1="kappa_aII" variable_2="kappa_aII"/>
<map_variables variable_1="kappa_bII" variable_2="kappa_bII"/>
<map_variables variable_1="kappa_dII" variable_2="kappa_dII"/>
<map_variables variable_1="kappa_iII" variable_2="kappa_iII"/>
<map_variables variable_1="K_cAMP" variable_2="K_cAMP"/>
<map_variables variable_1="K_PKI" variable_2="K_PKI"/>
<map_variables variable_1="K_PKACI" variable_2="K_PKACI"/>
<map_variables variable_1="K_ARCI" variable_2="K_ARCI"/>
<map_variables variable_1="K_A2RCI" variable_2="K_A2RCI"/>
<map_variables variable_1="K_CI" variable_2="K_CI"/>
<map_variables variable_1="K_A2RI" variable_2="K_A2RI"/>
<map_variables variable_1="K_PKACI_PKI" variable_2="K_PKACI_PKI"/>
<map_variables variable_1="K_PKACII" variable_2="K_PKACII"/>
<map_variables variable_1="K_ARCII" variable_2="K_ARCII"/>
<map_variables variable_1="K_A2RCII" variable_2="K_A2RCII"/>
<map_variables variable_1="K_CII" variable_2="K_CII"/>
<map_variables variable_1="K_A2RII" variable_2="K_A2RII"/>
<map_variables variable_1="K_PKACII_PKI" variable_2="K_PKACII_PKI"/>
</connection>
<connection>
<map_components component_1="constants" component_2="PKA"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
</model>
