- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-11-16 16:23:09+13:00
- Desc:
- Finding rational nullspace
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/6ba/rawfile/915ab06a088cfd92a95bafcadf0a8c0774778698/BG_B1AR.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- BG model of beta1 adrenergic receptor activation, based on saucerman2003
1jul21 initialising file
19 Jul beta1AR only: no Gactivation (see GsProtein)
1sept sig module is now an import - sharing vsig1-4 variables-->
<!-- NOTE B1ARtot is the sum R + LR + LRG + RG value must exceed LR+LRG-->
<model name="BG_beta1AR" 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"/>
<!-- initial conditions-->
<variable name="q_L_B1_init" units="fmol"/>
<variable initial_value="0.00005" name="q_R_B1_init" units="fmol"/>
<variable initial_value="0.00015" name="q_Gs_init" units="fmol"/>
<variable initial_value="0" name="q_LR_B1_init" units="fmol"/>
<variable initial_value="0.0000508778" name="q_LR_B1Gs_init" units="fmol"/>
<variable initial_value="0" name="q_B1d_init" units="fmol"/>
<variable initial_value="0.0228" name="q_BARK_init" units="fmol"/>
<variable initial_value="0.0000508778" name="q_LR_B1_BARK_init" units="fmol"/>
<variable initial_value="0.0000508778" name="q_LR_B1Gs_BARK_init" units="fmol"/>
<variable initial_value="0" name="q_B1p_init" units="fmol"/>
<variable initial_value="0.000221209" name="q_PKACI_init" units="fmol"/>
<variable initial_value="0.008778" name="q_R_PKACI_init" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_L_B1_init</ci>
<piecewise>
<piece>
<cn cellml:units="fmol" type="e-notation">1<sep/>-4</cn>
<apply>
<gt/>
<apply>
<sin/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>time</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="fmol" type="e-notation">1<sep/>-6</cn>
</otherwise>
</piecewise>
</apply>
</math>
<!-- Global value-->
<variable name="q_L_B1" public_interface="out" units="fmol"/>
<variable name="q_R_B1" public_interface="out" units="fmol"/>
<variable name="q_Gs" public_interface="out" units="fmol"/>
<variable name="q_LR_B1" public_interface="out" units="fmol"/>
<variable name="q_LR_B1Gs" public_interface="out" units="fmol"/>
<variable name="q_B1d" public_interface="out" units="fmol"/>
<variable name="q_BARK" public_interface="out" units="fmol"/>
<variable name="q_LR_B1_BARK" public_interface="out" units="fmol"/>
<variable name="q_LR_B1Gs_BARK" public_interface="out" units="fmol"/>
<variable name="q_B1p" public_interface="out" units="fmol"/>
<variable name="q_PKACI" public_interface="out" units="fmol"/>
<variable name="q_R_PKACI" public_interface="out" units="fmol"/>
<!-- From submodule-->
<variable name="q_L_B1_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_R_B1_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_Gs_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_LR_B1_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_LR_B1Gs_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_B1d_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_BARK_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_LR_B1_BARK_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_LR_B1Gs_BARK_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_B1p_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_PKACI_mB1AR" public_interface="in" units="fmol"/>
<variable name="q_R_PKACI_mB1AR" public_interface="in" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_L_B1</ci>
<apply>
<plus/>
<ci>q_L_B1_mB1AR</ci>
<ci>q_L_B1_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_R_B1</ci>
<apply>
<plus/>
<ci>q_R_B1_mB1AR</ci>
<ci>q_R_B1_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_Gs</ci>
<apply>
<plus/>
<ci>q_Gs_mB1AR</ci>
<ci>q_Gs_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_LR_B1</ci>
<apply>
<plus/>
<ci>q_LR_B1_mB1AR</ci>
<ci>q_LR_B1_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_LR_B1Gs</ci>
<apply>
<plus/>
<ci>q_LR_B1Gs_mB1AR</ci>
<ci>q_LR_B1Gs_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_B1d</ci>
<apply>
<plus/>
<ci>q_B1d_mB1AR</ci>
<ci>q_B1d_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_BARK</ci>
<apply>
<plus/>
<ci>q_BARK_mB1AR</ci>
<ci>q_BARK_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_LR_B1_BARK</ci>
<apply>
<plus/>
<ci>q_LR_B1_BARK_mB1AR</ci>
<ci>q_LR_B1_BARK_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_LR_B1Gs_BARK</ci>
<apply>
<plus/>
<ci>q_LR_B1Gs_BARK_mB1AR</ci>
<ci>q_LR_B1Gs_BARK_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_B1p</ci>
<apply>
<plus/>
<ci>q_B1p_mB1AR</ci>
<ci>q_B1p_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_PKACI</ci>
<apply>
<plus/>
<ci>q_PKACI_mB1AR</ci>
<ci>q_PKACI_init</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_R_PKACI</ci>
<apply>
<plus/>
<ci>q_R_PKACI_mB1AR</ci>
<ci>q_R_PKACI_init</ci>
</apply>
</apply>
</math>
</component>
<component name="B1AR_parameters">
<variable initial_value="0.000282928" name="kappa_B11" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="128604" name="kappa_B12" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.000200356" name="kappa_B21" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="91071.1" name="kappa_B22" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.28764e-05" name="kappa_P1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="10398.4" name="kappa_P2" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.90698e-08" name="K_L_B1" public_interface="out" units="per_fmol"/>
<variable initial_value="1849.44" name="K_R_B1" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0410501" name="K_Gs" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0242248" name="K_LR_B1" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0342084" name="K_LR_B1Gs" public_interface="out" units="per_fmol"/>
<variable initial_value="2.90698e-08" name="K_B1d" public_interface="out" units="per_fmol"/>
<variable initial_value="0.226042" name="K_BARK" public_interface="out" units="per_fmol"/>
<variable initial_value="0.226042" name="K_LR_B1_BARK" public_interface="out" units="per_fmol"/>
<variable initial_value="0.319199" name="K_LR_B1Gs_BARK" public_interface="out" units="per_fmol"/>
<variable initial_value="1.13021e-09" name="K_B1p" public_interface="out" units="per_fmol"/>
<variable initial_value="7.19049e-05" name="K_PKACI" public_interface="out" units="per_fmol"/>
<variable initial_value="2.79561" name="K_R_PKACI" public_interface="out" units="per_fmol"/>
</component>
<component name="B1AR">
<variable name="time" public_interface="in" units="second"/>
<!-- Physical parameters-->
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<!-- Bond graph parameters, found using pinv of kinetic parameters-->
<variable name="kappa_B11" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_B12" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_B21" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_B22" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_P1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_P2" public_interface="in" units="fmol_per_sec"/>
<variable name="K_L_B1" public_interface="in" units="per_fmol"/>
<variable name="K_R_B1" public_interface="in" units="per_fmol"/>
<variable name="K_Gs" public_interface="in" units="per_fmol"/>
<variable name="K_LR_B1" public_interface="in" units="per_fmol"/>
<variable name="K_LR_B1Gs" public_interface="in" units="per_fmol"/>
<variable name="K_B1d" public_interface="in" units="per_fmol"/>
<variable name="K_BARK" public_interface="in" units="per_fmol"/>
<variable name="K_LR_B1_BARK" public_interface="in" units="per_fmol"/>
<variable name="K_LR_B1Gs_BARK" public_interface="in" units="per_fmol"/>
<variable name="K_B1p" public_interface="in" units="per_fmol"/>
<variable name="K_PKACI" public_interface="in" units="per_fmol"/>
<variable name="K_R_PKACI" public_interface="in" units="per_fmol"/>
<!-- States (and initial conditions)
Input from global environment-->
<variable name="q_L_B1_global" public_interface="in" units="fmol"/>
<variable name="q_R_B1_global" public_interface="in" units="fmol"/>
<variable name="q_Gs_global" public_interface="in" units="fmol"/>
<variable name="q_LR_B1_global" public_interface="in" units="fmol"/>
<variable name="q_LR_B1Gs_global" public_interface="in" units="fmol"/>
<variable name="q_B1d_global" public_interface="in" units="fmol"/>
<variable name="q_BARK_global" public_interface="in" units="fmol"/>
<variable name="q_LR_B1_BARK_global" public_interface="in" units="fmol"/>
<variable name="q_LR_B1Gs_BARK_global" public_interface="in" units="fmol"/>
<variable name="q_B1p_global" public_interface="in" units="fmol"/>
<variable name="q_PKACI_global" public_interface="in" units="fmol"/>
<variable name="q_R_PKACI_global" public_interface="in" units="fmol"/>
<!-- Output to global environment-->
<variable initial_value="1e-16" name="q_L_B1" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_R_B1" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_Gs" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_LR_B1" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_LR_B1Gs" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_B1d" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_BARK" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_LR_B1_BARK" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_LR_B1Gs_BARK" public_interface="out" units="fmol"/>
<variable initial_value="1e-16" name="q_B1p" 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_R_PKACI" public_interface="out" units="fmol"/>
<!-- Bond variables-->
<variable name="vB11" units="fmol_per_sec"/>
<variable name="vB12" units="fmol_per_sec"/>
<variable name="vB21" units="fmol_per_sec"/>
<variable name="vB22" units="fmol_per_sec"/>
<variable name="vP1" units="fmol_per_sec"/>
<variable name="vP2" units="fmol_per_sec"/>
<variable name="mu_L_B1" units="J_per_mol"/>
<variable name="mu_R_B1" units="J_per_mol"/>
<variable name="mu_Gs" units="J_per_mol"/>
<variable name="mu_LR_B1" units="J_per_mol"/>
<variable name="mu_LR_B1Gs" units="J_per_mol"/>
<variable name="mu_B1d" units="J_per_mol"/>
<variable name="mu_BARK" units="J_per_mol"/>
<variable name="mu_LR_B1_BARK" units="J_per_mol"/>
<variable name="mu_LR_B1Gs_BARK" units="J_per_mol"/>
<variable name="mu_B1p" units="J_per_mol"/>
<variable name="mu_PKACI" units="J_per_mol"/>
<variable name="mu_R_PKACI" units="J_per_mol"/>
<!-- Constitutive equations-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_L_B1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_L_B1</ci>
<ci>q_L_B1_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_R_B1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_R_B1</ci>
<ci>q_R_B1_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Gs</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Gs</ci>
<ci>q_Gs_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_LR_B1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_LR_B1</ci>
<ci>q_LR_B1_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_LR_B1Gs</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_LR_B1Gs</ci>
<ci>q_LR_B1Gs_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_B1d</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_B1d</ci>
<ci>q_B1d_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_BARK</ci>
<ci>q_BARK_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_LR_B1_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_LR_B1_BARK</ci>
<ci>q_LR_B1_BARK_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_LR_B1Gs_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_LR_B1Gs_BARK</ci>
<ci>q_LR_B1Gs_BARK_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_B1p</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_B1p</ci>
<ci>q_B1p_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_R_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_R_PKACI</ci>
<ci>q_R_PKACI_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vB11</ci>
<apply>
<times/>
<ci>kappa_B11</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_LR_B1</ci>
<ci>mu_BARK</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_LR_B1_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vB12</ci>
<apply>
<times/>
<ci>kappa_B12</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_LR_B1_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_BARK</ci>
<ci>mu_B1d</ci>
<ci>mu_L_B1</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vB21</ci>
<apply>
<times/>
<ci>kappa_B21</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_LR_B1Gs</ci>
<ci>mu_BARK</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_LR_B1Gs_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vB22</ci>
<apply>
<times/>
<ci>kappa_B22</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_LR_B1Gs_BARK</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_BARK</ci>
<ci>mu_B1d</ci>
<ci>mu_L_B1</ci>
<ci>mu_Gs</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vP1</ci>
<apply>
<times/>
<ci>kappa_P1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_R_B1</ci>
<ci>mu_PKACI</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_R_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>vP2</ci>
<apply>
<times/>
<ci>kappa_P2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_R_PKACI</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_PKACI</ci>
<ci>mu_B1p</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<!-- BG model-->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_L_B1</ci>
</apply>
<apply>
<plus/>
<ci>vB12</ci>
<ci>vB22</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_R_B1</ci>
</apply>
<apply>
<minus/>
<ci>vP1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Gs</ci>
</apply>
<ci>vB22</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_LR_B1</ci>
</apply>
<apply>
<minus/>
<ci>vB11</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_B1d</ci>
</apply>
<apply>
<plus/>
<ci>vB12</ci>
<ci>vB22</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_BARK</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>vB12</ci>
<ci>vB22</ci>
</apply>
<ci>vB11</ci>
</apply>
<ci>vB21</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_LR_B1_BARK</ci>
</apply>
<apply>
<minus/>
<ci>vB11</ci>
<ci>vB12</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_LR_B1Gs</ci>
</apply>
<apply>
<minus/>
<ci>vB21</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_LR_B1Gs_BARK</ci>
</apply>
<apply>
<minus/>
<ci>vB21</ci>
<ci>vB22</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_B1p</ci>
</apply>
<apply>
<minus/>
<ci>vP1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_PKACI</ci>
</apply>
<apply>
<minus/>
<ci>vP2</ci>
<ci>vP1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_R_PKACI</ci>
</apply>
<apply>
<minus/>
<ci>vP1</ci>
<ci>vP2</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="B1AR"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="q_L_B1_mB1AR" variable_2="q_L_B1"/>
<map_variables variable_1="q_L_B1" variable_2="q_L_B1_global"/>
<map_variables variable_1="q_R_B1_mB1AR" variable_2="q_R_B1"/>
<map_variables variable_1="q_R_B1" variable_2="q_R_B1_global"/>
<map_variables variable_1="q_Gs_mB1AR" variable_2="q_Gs"/>
<map_variables variable_1="q_Gs" variable_2="q_Gs_global"/>
<map_variables variable_1="q_LR_B1_mB1AR" variable_2="q_LR_B1"/>
<map_variables variable_1="q_LR_B1" variable_2="q_LR_B1_global"/>
<map_variables variable_1="q_LR_B1Gs_mB1AR" variable_2="q_LR_B1Gs"/>
<map_variables variable_1="q_LR_B1Gs" variable_2="q_LR_B1Gs_global"/>
<map_variables variable_1="q_B1d_mB1AR" variable_2="q_B1d"/>
<map_variables variable_1="q_B1d" variable_2="q_B1d_global"/>
<map_variables variable_1="q_BARK_mB1AR" variable_2="q_BARK"/>
<map_variables variable_1="q_BARK" variable_2="q_BARK_global"/>
<map_variables variable_1="q_LR_B1_BARK_mB1AR" variable_2="q_LR_B1_BARK"/>
<map_variables variable_1="q_LR_B1_BARK" variable_2="q_LR_B1_BARK_global"/>
<map_variables variable_1="q_LR_B1Gs_BARK_mB1AR" variable_2="q_LR_B1Gs_BARK"/>
<map_variables variable_1="q_LR_B1Gs_BARK" variable_2="q_LR_B1Gs_BARK_global"/>
<map_variables variable_1="q_B1p_mB1AR" variable_2="q_B1p"/>
<map_variables variable_1="q_B1p" variable_2="q_B1p_global"/>
<map_variables variable_1="q_PKACI_mB1AR" variable_2="q_PKACI"/>
<map_variables variable_1="q_PKACI" variable_2="q_PKACI_global"/>
<map_variables variable_1="q_R_PKACI_mB1AR" variable_2="q_R_PKACI"/>
<map_variables variable_1="q_R_PKACI" variable_2="q_R_PKACI_global"/>
</connection>
<connection>
<map_components component_1="B1AR_parameters" component_2="B1AR"/>
<map_variables variable_1="kappa_B11" variable_2="kappa_B11"/>
<map_variables variable_1="kappa_B12" variable_2="kappa_B12"/>
<map_variables variable_1="kappa_B21" variable_2="kappa_B21"/>
<map_variables variable_1="kappa_B22" variable_2="kappa_B22"/>
<map_variables variable_1="kappa_P1" variable_2="kappa_P1"/>
<map_variables variable_1="kappa_P2" variable_2="kappa_P2"/>
<map_variables variable_1="K_L_B1" variable_2="K_L_B1"/>
<map_variables variable_1="K_R_B1" variable_2="K_R_B1"/>
<map_variables variable_1="K_Gs" variable_2="K_Gs"/>
<map_variables variable_1="K_LR_B1" variable_2="K_LR_B1"/>
<map_variables variable_1="K_LR_B1Gs" variable_2="K_LR_B1Gs"/>
<map_variables variable_1="K_B1d" variable_2="K_B1d"/>
<map_variables variable_1="K_BARK" variable_2="K_BARK"/>
<map_variables variable_1="K_LR_B1_BARK" variable_2="K_LR_B1_BARK"/>
<map_variables variable_1="K_LR_B1Gs_BARK" variable_2="K_LR_B1Gs_BARK"/>
<map_variables variable_1="K_B1p" variable_2="K_B1p"/>
<map_variables variable_1="K_PKACI" variable_2="K_PKACI"/>
<map_variables variable_1="K_R_PKACI" variable_2="K_R_PKACI"/>
</connection>
<connection>
<map_components component_1="constants" component_2="B1AR"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
</model>
