Model Mathematics

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Component: BG_parameters

Component: environment

m1 = \frac{stimMag1}{tRamp1} q_LB1_init = \{\begin{matrix} stimHolding1 + m1 ((time - stimSt1) + tRamp1) if time < stimSt1 \land time > stimSt1 - tRamp1 \\ stimMag1 + stimHolding1 if time \geq stimSt1 \land time < stimSt1 + stimDur1 \\ stimHolding1 + (- m1) (time - stimSt1 - tRamp1 - stimDur1) if time < stimSt1 + tRamp1 + stimDur1 \land time \geq stimSt1 + stimDur1 \\ stimHolding1 otherwise \end{matrix}

m2 = \frac{stimMag2}{tRamp2} q_LM2_init = \{\begin{matrix} stimHolding2 + m2 ((time - stimSt2) + tRamp2) if time < stimSt2 \land time > stimSt2 - tRamp2 \\ stimMag2 + stimHolding2 if time \geq stimSt2 \land time < stimSt2 + stimDur2 \\ stimHolding2 + (- m2) (time - stimSt2 - tRamp2 - stimDur2) if time < stimSt2 + tRamp2 + stimDur2 \land time \geq stimSt2 + stimDur2 \\ stimHolding2 otherwise \end{matrix}

LB1_T = q_L_RB1_inactive + q_LB1 + q_L_RB1_Gs + q_L_RB1 + q_L_RB1_tag + q_L_RB1_GRKArr RB1_T = q_RB1_inactive + q_L_RB1_inactive + q_RB1 + q_RB1_Gs + q_L_RB1 + q_L_RB1_Gs + q_RB1_tag + q_L_RB1_tag + q_RB1_GRKArr + q_L_RB1_GRKArr Gs_T = q_Gs + q_RB1_Gs + q_L_RB1_Gs + q_Gsa_GTP + q_Gsa_GDP adenosine_T = q_cAMP + q_PDE_cAMP + q_five_AMP + q_ATP + q_AC_ATP + q_Gsa_GTP_AC_ATP + q_FSK_AC_ATP

q_ATP = q_ATP_init + q_ATP_mcAMP q_cAMP = q_cAMP_init + q_cAMP_mcAMP q_AC = q_AC_init + q_AC_mcAMP q_AC_ATP = q_AC_ATP_init + q_AC_ATP_mcAMP q_Gsa_GTP_AC = q_Gsa_GTP_AC_init + q_Gsa_GTP_AC_mcAMP q_Gsa_GTP_AC_ATP = q_Gsa_GTP_AC_ATP_init + q_Gsa_GTP_AC_ATP_mcAMP q_FSK_AC = q_FSK_AC_init + q_FSK_AC_mcAMP q_FSK_AC_ATP = q_FSK_AC_ATP_init + q_FSK_AC_ATP_mcAMP q_PDE = q_PDE_init + q_PDE_mcAMP q_PDE_cAMP = q_PDE_cAMP_init + q_PDE_cAMP_mcAMP q_five_AMP = q_five_AMP_init + q_five_AMP_mcAMP q_IBMX = q_IBMX_init + q_IBMX_mcAMP q_PDEinh = q_PDEinh_init + q_PDEinh_mcAMP q_Gsa_GTP = q_Gsa_GTP_init + q_Gsa_GTP_mcAMP + q_Gsa_GTP_mGPCR_B1AR_reduced q_FSK = q_FSK_init + q_FSK_mcAMP q_Gia_GTP = q_Gia_GTP_init + q_Gia_GTP_mcAMP + q_Gia_GTP_mGPCR_M2_reduced q_ACinh = q_ACinh_init + q_ACinh_mcAMP q_PPi = q_PPi_init + q_PPi_mcAMP q_RB1_inactive = q_RB1_inactive_init + q_RB1_inactive_mGPCR_B1AR_reduced q_L_RB1_inactive = q_L_RB1_inactive_init + q_L_RB1_inactive_mGPCR_B1AR_reduced q_LB1 = q_LB1_init + q_LB1_mGPCR_B1AR_reduced q_RB1 = q_RB1_init + q_RB1_mGPCR_B1AR_reduced q_Gs = q_Gs_init + q_Gs_mGPCR_B1AR_reduced q_RB1_Gs = q_RB1_Gs_init + q_RB1_Gs_mGPCR_B1AR_reduced q_L_RB1 = q_L_RB1_init + q_L_RB1_mGPCR_B1AR_reduced q_L_RB1_Gs = q_L_RB1_Gs_init + q_L_RB1_Gs_mGPCR_B1AR_reduced q_Gsbetagamma = q_Gsbetagamma_init + q_Gsbetagamma_mGPCR_B1AR_reduced q_Gsa_GDP = q_Gsa_GDP_init + q_Gsa_GDP_mGPCR_B1AR_reduced q_GTP = q_GTP_init + q_GTP_mGPCR_B1AR_reduced + q_GTP_mGPCR_M2_reduced q_GDP = q_GDP_init + q_GDP_mGPCR_B1AR_reduced + q_GDP_mGPCR_M2_reduced q_Pi = q_Pi_init + q_Pi_mGPCR_B1AR_reduced + q_Pi_mGPCR_M2_reduced q_RB1_tag = q_RB1_tag_init + q_RB1_tag_mGPCR_B1AR_reduced q_L_RB1_tag = q_L_RB1_tag_init + q_L_RB1_tag_mGPCR_B1AR_reduced q_RB1_GRKArr = q_RB1_GRKArr_init + q_RB1_GRKArr_mGPCR_B1AR_reduced q_L_RB1_GRKArr = q_L_RB1_GRKArr_init + q_L_RB1_GRKArr_mGPCR_B1AR_reduced q_GRKArr = q_GRKArr_init + q_GRKArr_mGPCR_B1AR_reduced + q_GRKArr_mGPCR_M2_reduced q_RM2_inactive = q_RM2_inactive_init + q_RM2_inactive_mGPCR_M2_reduced q_L_RM2_inactive = q_L_RM2_inactive_init + q_L_RM2_inactive_mGPCR_M2_reduced q_LM2 = q_LM2_init + q_LM2_mGPCR_M2_reduced q_RM2 = q_RM2_init + q_RM2_mGPCR_M2_reduced q_Gi = q_Gi_init + q_Gi_mGPCR_M2_reduced q_RM2_Gi = q_RM2_Gi_init + q_RM2_Gi_mGPCR_M2_reduced q_L_RM2 = q_L_RM2_init + q_L_RM2_mGPCR_M2_reduced q_L_RM2_Gi = q_L_RM2_Gi_init + q_L_RM2_Gi_mGPCR_M2_reduced q_Gibetagamma = q_Gibetagamma_init + q_Gibetagamma_mGPCR_M2_reduced q_Gia_GDP = q_Gia_GDP_init + q_Gia_GDP_mGPCR_M2_reduced q_RM2_tag = q_RM2_tag_init + q_RM2_tag_mGPCR_M2_reduced q_L_RM2_tag = q_L_RM2_tag_init + q_L_RM2_tag_mGPCR_M2_reduced q_RM2_GRKArr = q_RM2_GRKArr_init + q_RM2_GRKArr_mGPCR_M2_reduced q_L_RM2_GRKArr = q_L_RM2_GRKArr_init + q_L_RM2_GRKArr_mGPCR_M2_reduced

Component: units

Component: constants

Component: environment

q_ATP = q_ATP_mcAMP + q_ATP_init q_cAMP = q_cAMP_mcAMP + q_cAMP_init q_AC = q_AC_mcAMP + q_AC_init q_AC_ATP = q_AC_ATP_mcAMP + q_AC_ATP_init q_Gsa_GTP_AC = q_Gsa_GTP_AC_mcAMP + q_Gsa_GTP_AC_init q_Gsa_GTP_AC_ATP = q_Gsa_GTP_AC_ATP_mcAMP + q_Gsa_GTP_AC_ATP_init q_FSK_AC = q_FSK_AC_mcAMP + q_FSK_AC_init q_FSK_AC_ATP = q_FSK_AC_ATP_mcAMP + q_FSK_AC_ATP_init q_PDE = q_PDE_mcAMP + q_PDE_init q_PDE_cAMP = q_PDE_cAMP_mcAMP + q_PDE_cAMP_init q_five_AMP = q_five_AMP_mcAMP + q_five_AMP_init q_IBMX = q_IBMX_mcAMP + q_IBMX_init q_PDEinh = q_PDEinh_mcAMP + q_PDEinh_init q_Gsa_GTP = q_Gsa_GTP_mcAMP + q_Gsa_GTP_init q_FSK = q_FSK_mcAMP + q_FSK_init q_Gia_GTP = q_Gia_GTP_mcAMP + q_Gia_GTP_init q_ACinh = q_ACinh_mcAMP + q_ACinh_init q_PPi = q_PPi_mcAMP + q_PPi_init

Component: cAMP_parameters

Component: cAMP

mu_ATP = R T \ln (K_ATP q_ATP_global) mu_cAMP = R T \ln (K_cAMP q_cAMP_global) mu_AC = R T \ln (K_AC q_AC_global) mu_AC_ATP = R T \ln (K_AC_ATP q_AC_ATP_global) mu_Gsa_GTP_AC = R T \ln (K_Gsa_GTP_AC q_Gsa_GTP_AC_global) mu_Gsa_GTP_AC_ATP = R T \ln (K_Gsa_GTP_AC_ATP q_Gsa_GTP_AC_ATP_global) mu_FSK_AC = R T \ln (K_FSK_AC q_FSK_AC_global) mu_FSK_AC_ATP = R T \ln (K_FSK_AC_ATP q_FSK_AC_ATP_global) mu_PDE = R T \ln (K_PDE q_PDE_global) mu_PDE_cAMP = R T \ln (K_PDE_cAMP q_PDE_cAMP_global) mu_five_AMP = R T \ln (K_five_AMP q_five_AMP_global) mu_IBMX = R T \ln (K_IBMX q_IBMX_global) mu_PDEinh = R T \ln (K_PDEinh q_PDEinh_global) mu_Gsa_GTP = R T \ln (K_Gsa_GTP q_Gsa_GTP_global) mu_FSK = R T \ln (K_FSK q_FSK_global) mu_Gia_GTP = R T \ln (K_Gia_GTP q_Gia_GTP_global) mu_ACinh = R T \ln (K_ACinh q_ACinh_global) mu_PPi = R T \ln (K_PPi q_PPi_global) v1a = kappa_1a (ⅇ^{\frac{mu_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_AC_ATP}{R T}})) v1b = kappa_1b (ⅇ^{\frac{mu_AC_ATP}{R T}} - (ⅇ^{\frac{mu_AC + mu_cAMP + mu_PPi}{R T}})) v2a = kappa_2a (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}})) v2b = kappa_2b (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_cAMP + mu_PPi}{R T}})) v3a = kappa_3a (ⅇ^{\frac{mu_FSK_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}})) v3b = kappa_3b (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC + mu_cAMP + mu_PPi}{R T}})) v4a = kappa_4a (ⅇ^{\frac{mu_PDE + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE_cAMP}{R T}})) v4b = kappa_4b (ⅇ^{\frac{mu_PDE_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE + mu_five_AMP}{R T}})) v5 = kappa_5 (ⅇ^{\frac{mu_PDE + mu_IBMX}{R T}} - (ⅇ^{\frac{mu_PDEinh}{R T}})) v6 = kappa_6 (ⅇ^{\frac{mu_AC + mu_Gsa_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC}{R T}})) v7 = kappa_7 (ⅇ^{\frac{mu_FSK + mu_AC}{R T}} - (ⅇ^{\frac{mu_FSK_AC}{R T}})) vGiAC = kappa_GiAC (ⅇ^{\frac{mu_AC + mu_Gia_GTP}{R T}} - (ⅇ^{\frac{mu_ACinh}{R T}})) \frac{d}{d time} (q_ATP) = - v1a - v3a - v2a \frac{d}{d time} (q_AC) = v1b - v1a - v6 - v7 - vGiAC \frac{d}{d time} (q_AC_ATP) = v1a - v1b \frac{d}{d time} (q_cAMP) = v1b + v3b + v2b - v4a \frac{d}{d time} (q_FSK) = - v7 \frac{d}{d time} (q_FSK_AC) = v7 + v3b - v3a \frac{d}{d time} (q_FSK_AC_ATP) = v3a - v3b \frac{d}{d time} (q_Gsa_GTP) = - v6 \frac{d}{d time} (q_Gsa_GTP_AC) = (v6 - v2a) + v2b \frac{d}{d time} (q_Gsa_GTP_AC_ATP) = v2a - v2b \frac{d}{d time} (q_PDE_cAMP) = v4a - v4b \frac{d}{d time} (q_PDE) = v4b - v4a - v5 \frac{d}{d time} (q_IBMX) = - v5 \frac{d}{d time} (q_PDEinh) = v5 \frac{d}{d time} (q_five_AMP) = v4b \frac{d}{d time} (q_Gia_GTP) = - vGiAC \frac{d}{d time} (q_ACinh) = vGiAC \frac{d}{d time} (q_PPi) = vGiAC

ATP_T = q_ATP_global + q_AC_ATP_global + q_FSK_AC_ATP_global + q_Gsa_GTP_AC_ATP_global AC_T = q_AC_global + q_AC_ATP_global + q_FSK_AC_global + q_FSK_AC_ATP_global + q_Gsa_GTP_AC_global + q_Gsa_GTP_AC_ATP_global Gs_T = q_Gsa_GTP_global + q_Gsa_GTP_AC_global + q_Gsa_GTP_AC_ATP_global cAMP_T = q_cAMP_global + q_PDE_cAMP_global + q_five_AMP

Component: units

Component: constants

Component: environment

m = \frac{stimMag}{tR} q_LB1_init = \{\begin{matrix} stimHolding + m ((time - stimSt) + tR) if time < stimSt \land time > stimSt - tR \\ stimMag + stimHolding if time \geq stimSt \land time < stimSt + stimDur \\ stimHolding + (- m) (time - stimSt - tR - stimDur) if time < stimSt + tR + stimDur \land time \geq stimSt + stimDur \\ stimHolding otherwise \end{matrix}

q_RB1_inactive = q_RB1_inactive_mGPCR_B1AR_reduced + q_RB1_inactive_init q_L_RB1_inactive = q_L_RB1_inactive_mGPCR_B1AR_reduced + q_L_RB1_inactive_init q_LB1 = q_LB1_mGPCR_B1AR_reduced + q_LB1_init q_RB1 = q_RB1_mGPCR_B1AR_reduced + q_RB1_init q_Gs = q_Gs_mGPCR_B1AR_reduced + q_Gs_init q_RB1_Gs = q_RB1_Gs_mGPCR_B1AR_reduced + q_RB1_Gs_init q_L_RB1 = q_L_RB1_mGPCR_B1AR_reduced + q_L_RB1_init q_L_RB1_Gs = q_L_RB1_Gs_mGPCR_B1AR_reduced + q_L_RB1_Gs_init q_Gsa_GTP = q_Gsa_GTP_mGPCR_B1AR_reduced + q_Gsa_GTP_init q_Gsbetagamma = q_Gsbetagamma_mGPCR_B1AR_reduced + q_Gsbetagamma_init q_Gsa_GDP = q_Gsa_GDP_mGPCR_B1AR_reduced + q_Gsa_GDP_init q_GTP = q_GTP_mGPCR_B1AR_reduced + q_GTP_init q_GDP = q_GDP_mGPCR_B1AR_reduced + q_GDP_init q_Pi = q_Pi_mGPCR_B1AR_reduced + q_Pi_init q_RB1_tag = q_RB1_tag_mGPCR_B1AR_reduced + q_RB1_tag_init q_L_RB1_tag = q_L_RB1_tag_mGPCR_B1AR_reduced + q_L_RB1_tag_init q_RB1_GRKArr = q_RB1_GRKArr_mGPCR_B1AR_reduced + q_RB1_GRKArr_init q_L_RB1_GRKArr = q_L_RB1_GRKArr_mGPCR_B1AR_reduced + q_L_RB1_GRKArr_init q_GRKArr = q_GRKArr_mGPCR_B1AR_reduced + q_GRKArr_init

conserv_R_T = q_RB1_inactive + q_L_RB1_inactive + q_RB1 + q_RB1_Gs + q_L_RB1 + q_L_RB1_Gs + q_RB1_tag + q_L_RB1_tag + q_RB1_GRKArr + q_L_RB1_GRKArr total_R_init = q_RB1_inactive_init + q_L_RB1_inactive_init + q_RB1_init + q_RB1_Gs_init + q_L_RB1_init + q_L_RB1_Gs_init conserv_L_T = q_L_RB1_inactive + q_LB1 + q_L_RB1 + q_L_RB1_Gs + q_L_RB1_tag + q_L_RB1_GRKArr conserv_G_T = q_Gs + q_RB1_Gs + q_L_RB1_Gs + q_Gsa_GTP + q_Gsa_GDP

Component: GPCR_B1AR_reduced_parameters

Component: GPCR_B1AR_reduced

mu_RB1_inactive = R T \ln (K_RB1_inactive q_RB1_inactive_global) mu_L_RB1_inactive = R T \ln (K_L_RB1_inactive q_L_RB1_inactive_global) mu_LB1 = R T \ln (K_LB1 q_LB1_global) mu_RB1 = R T \ln (K_RB1 q_RB1_global) mu_Gs = R T \ln (K_Gs q_Gs_global) mu_RB1_Gs = R T \ln (K_RB1_Gs q_RB1_Gs_global) mu_L_RB1 = R T \ln (K_L_RB1 q_L_RB1_global) mu_L_RB1_Gs = R T \ln (K_L_RB1_Gs q_L_RB1_Gs_global) mu_Gsa_GTP = R T \ln (K_Gsa_GTP q_Gsa_GTP_global) mu_Gsbetagamma = R T \ln (K_Gsbetagamma q_Gsbetagamma_global) mu_Gsa_GDP = R T \ln (K_Gsa_GDP q_Gsa_GDP_global) mu_GTP = R T \ln (K_GTP q_GTP_global) mu_GDP = R T \ln (K_GDP q_GDP_global) mu_Pi = R T \ln (K_Pi q_Pi_global) mu_RB1_tag = R T \ln (K_RB1_tag q_RB1_tag_global) mu_L_RB1_tag = R T \ln (K_L_RB1_tag q_L_RB1_tag_global) mu_RB1_GRKArr = R T \ln (K_RB1_GRKArr q_RB1_GRKArr_global) mu_L_RB1_GRKArr = R T \ln (K_L_RB1_GRKArr q_L_RB1_GRKArr_global) mu_GRKArr = R T \ln (K_GRKArr q_GRKArr_global) v_Rswitch_B1 = kappa_Rswitch_B1 (ⅇ^{\frac{mu_RB1_inactive}{R T}} - (ⅇ^{\frac{mu_RB1}{R T}})) v_LRswitch_B1 = kappa_LRswitch_B1 (ⅇ^{\frac{mu_L_RB1_inactive}{R T}} - (ⅇ^{\frac{mu_L_RB1}{R T}})) v_C_B1 = kappa_C_B1 (ⅇ^{\frac{mu_RB1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_RB1_Gs}{R T}})) v_R_B1 = kappa_R_B1 (ⅇ^{\frac{mu_L_RB1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_L_RB1_Gs}{R T}})) v_L_B1 = kappa_L_B1 (ⅇ^{\frac{mu_RB1_inactive + mu_LB1}{R T}} - (ⅇ^{\frac{mu_L_RB1_inactive}{R T}})) v_Act1_Gs = kappa_Act1_Gs (ⅇ^{\frac{mu_RB1_Gs + mu_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP + mu_Gsbetagamma + mu_RB1_tag + mu_GDP}{R T}})) v_Act2_Gs = kappa_Act2_Gs (ⅇ^{\frac{mu_L_RB1_Gs + mu_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP + mu_Gsbetagamma + mu_L_RB1_tag + mu_GDP}{R T}})) v_Hyd_Gs = kappa_Hyd_Gs (ⅇ^{\frac{mu_Gsa_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GDP + mu_Pi}{R T}})) v_Reassoc_Gs = kappa_Reassoc_Gs (ⅇ^{\frac{mu_Gsa_GDP + mu_Gsbetagamma}{R T}} - (ⅇ^{\frac{mu_Gs}{R T}})) v_InternR_B1 = kappa_InternR_B1 (ⅇ^{\frac{mu_RB1_tag + mu_GRKArr}{R T}} - (ⅇ^{\frac{mu_RB1_GRKArr}{R T}})) v_InternLR_B1 = kappa_InternLR_B1 (ⅇ^{\frac{mu_L_RB1_tag + mu_GRKArr}{R T}} - (ⅇ^{\frac{mu_L_RB1_GRKArr}{R T}}))

v_Rsynthesis = v_Rswitch_B1 + v_L_B1 \frac{d}{d time} (q_RB1_inactive) = (- v_Rswitch_B1 - v_L_B1) + 1.0 v_Rsynthesis \frac{d}{d time} (q_L_RB1_inactive) = (- v_LRswitch_B1) + v_L_B1 \frac{d}{d time} (q_LB1) = - v_L_B1 \frac{d}{d time} (q_RB1) = v_Rswitch_B1 - v_C_B1 \frac{d}{d time} (q_Gs) = (- v_C_B1 - v_R_B1) + v_Reassoc_Gs \frac{d}{d time} (q_RB1_Gs) = v_C_B1 - v_Act1_Gs \frac{d}{d time} (q_L_RB1) = v_LRswitch_B1 - v_R_B1 \frac{d}{d time} (q_L_RB1_Gs) = v_R_B1 - v_Act2_Gs \frac{d}{d time} (q_Gsa_GTP) = v_Act1_Gs + v_Act2_Gs - v_Hyd_Gs \frac{d}{d time} (q_Gsbetagamma) = v_Act1_Gs + v_Act2_Gs - v_Reassoc_Gs \frac{d}{d time} (q_Gsa_GDP) = v_Hyd_Gs - v_Reassoc_Gs \frac{d}{d time} (q_GTP) = - v_Act1_Gs - v_Act2_Gs \frac{d}{d time} (q_GDP) = v_Act1_Gs + v_Act2_Gs \frac{d}{d time} (q_Pi) = v_Hyd_Gs \frac{d}{d time} (q_RB1_tag) = v_Act1_Gs - v_InternR_B1 \frac{d}{d time} (q_L_RB1_tag) = v_Act2_Gs - v_InternLR_B1 \frac{d}{d time} (q_RB1_GRKArr) = v_InternR_B1 \frac{d}{d time} (q_L_RB1_GRKArr) = v_InternLR_B1 \frac{d}{d time} (q_GRKArr) = - v_InternR_B1 - v_InternLR_B1

Component: units

Component: constants

Component: environment

m = \frac{stimMag}{tR} q_LM2_init = \{\begin{matrix} stimHolding + m ((time - stimSt) + tR) if time < stimSt \land time > stimSt - tR \\ stimMag + stimHolding if time \geq stimSt \land time < stimSt + stimDur \\ stimHolding + (- m) (time - stimSt - tR - stimDur) if time < stimSt + tR + stimDur \land time \geq stimSt + stimDur \\ stimHolding otherwise \end{matrix}

conserv_R_T = q_RM2_inactive + q_L_RM2_inactive + q_RM2 + q_RM2_Gi + q_L_RM2 + q_L_RM2_Gi + q_RM2_tag + q_L_RM2_tag + q_RM2_GRKArr + q_L_RM2_GRKArr total_R_init = q_RM2_inactive_init + q_L_RM2_inactive_init + q_RM2_init + q_RM2_Gi_init + q_L_RM2_init + q_L_RM2_Gi_init conserv_L_T = q_L_RM2_inactive + q_LM2 + q_L_RM2 + q_L_RM2_Gi + q_L_RM2_tag + q_L_RM2_GRKArr conserv_G_T = q_Gi + q_RM2_Gi + q_L_RM2_Gi + q_Gia_GTP + q_Gia_GDP

q_RM2_inactive = q_RM2_inactive_mGPCR_M2_reduced + q_RM2_inactive_init q_L_RM2_inactive = q_L_RM2_inactive_mGPCR_M2_reduced + q_L_RM2_inactive_init q_LM2 = q_LM2_mGPCR_M2_reduced + q_LM2_init q_RM2 = q_RM2_mGPCR_M2_reduced + q_RM2_init q_Gi = q_Gi_mGPCR_M2_reduced + q_Gi_init q_RM2_Gi = q_RM2_Gi_mGPCR_M2_reduced + q_RM2_Gi_init q_L_RM2 = q_L_RM2_mGPCR_M2_reduced + q_L_RM2_init q_L_RM2_Gi = q_L_RM2_Gi_mGPCR_M2_reduced + q_L_RM2_Gi_init q_Gia_GTP = q_Gia_GTP_mGPCR_M2_reduced + q_Gia_GTP_init q_Gibetagamma = q_Gibetagamma_mGPCR_M2_reduced + q_Gibetagamma_init q_Gia_GDP = q_Gia_GDP_mGPCR_M2_reduced + q_Gia_GDP_init q_GTP = q_GTP_mGPCR_M2_reduced + q_GTP_init q_GDP = q_GDP_mGPCR_M2_reduced + q_GDP_init q_Pi = q_Pi_mGPCR_M2_reduced + q_Pi_init q_RM2_tag = q_RM2_tag_mGPCR_M2_reduced + q_RM2_tag_init q_L_RM2_tag = q_L_RM2_tag_mGPCR_M2_reduced + q_L_RM2_tag_init q_RM2_GRKArr = q_RM2_GRKArr_mGPCR_M2_reduced + q_RM2_GRKArr_init q_L_RM2_GRKArr = q_L_RM2_GRKArr_mGPCR_M2_reduced + q_L_RM2_GRKArr_init q_GRKArr = q_GRKArr_mGPCR_M2_reduced + q_GRKArr_init

Component: GPCR_M2_reduced_parameters

Component: GPCR_M2_reduced

mu_RM2_inactive = R T \ln (K_RM2_inactive q_RM2_inactive_global) mu_L_RM2_inactive = R T \ln (K_L_RM2_inactive q_L_RM2_inactive_global) mu_LM2 = R T \ln (K_LM2 q_LM2_global) mu_RM2 = R T \ln (K_RM2 q_RM2_global) mu_Gi = R T \ln (K_Gi q_Gi_global) mu_RM2_Gi = R T \ln (K_RM2_Gi q_RM2_Gi_global) mu_L_RM2 = R T \ln (K_L_RM2 q_L_RM2_global) mu_L_RM2_Gi = R T \ln (K_L_RM2_Gi q_L_RM2_Gi_global) mu_Gia_GTP = R T \ln (K_Gia_GTP q_Gia_GTP_global) mu_Gibetagamma = R T \ln (K_Gibetagamma q_Gibetagamma_global) mu_Gia_GDP = R T \ln (K_Gia_GDP q_Gia_GDP_global) mu_GTP = R T \ln (K_GTP q_GTP_global) mu_GDP = R T \ln (K_GDP q_GDP_global) mu_Pi = R T \ln (K_Pi q_Pi_global) mu_RM2_tag = R T \ln (K_RM2_tag q_RM2_tag_global) mu_L_RM2_tag = R T \ln (K_L_RM2_tag q_L_RM2_tag_global) mu_RM2_GRKArr = R T \ln (K_RM2_GRKArr q_RM2_GRKArr_global) mu_L_RM2_GRKArr = R T \ln (K_L_RM2_GRKArr q_L_RM2_GRKArr_global) mu_GRKArr = R T \ln (K_GRKArr q_GRKArr_global) v_Rswitch_M2 = kappa_Rswitch_M2 (ⅇ^{\frac{mu_RM2_inactive}{R T}} - (ⅇ^{\frac{mu_RM2}{R T}})) v_LRswitch_M2 = kappa_LRswitch_M2 (ⅇ^{\frac{mu_L_RM2_inactive}{R T}} - (ⅇ^{\frac{mu_L_RM2}{R T}})) v_C_M2 = kappa_C_M2 (ⅇ^{\frac{mu_RM2 + mu_Gi}{R T}} - (ⅇ^{\frac{mu_RM2_Gi}{R T}})) v_R_M2 = kappa_R_M2 (ⅇ^{\frac{mu_L_RM2 + mu_Gi}{R T}} - (ⅇ^{\frac{mu_L_RM2_Gi}{R T}})) v_L_M2 = kappa_L_M2 (ⅇ^{\frac{mu_RM2_inactive + mu_LM2}{R T}} - (ⅇ^{\frac{mu_L_RM2_inactive}{R T}})) v_Act1_Gi = kappa_Act1_Gi (ⅇ^{\frac{mu_RM2_Gi + mu_GTP}{R T}} - (ⅇ^{\frac{mu_Gia_GTP + mu_Gibetagamma + mu_RM2_tag + mu_GDP}{R T}})) v_Act2_Gi = kappa_Act2_Gi (ⅇ^{\frac{mu_L_RM2_Gi + mu_GTP}{R T}} - (ⅇ^{\frac{mu_Gia_GTP + mu_Gibetagamma + mu_L_RM2_tag + mu_GDP}{R T}})) v_Hyd_Gi = kappa_Hyd_Gi (ⅇ^{\frac{mu_Gia_GTP}{R T}} - (ⅇ^{\frac{mu_Gia_GDP + mu_Pi}{R T}})) v_Reassoc_Gi = kappa_Reassoc_Gi (ⅇ^{\frac{mu_Gia_GDP + mu_Gibetagamma}{R T}} - (ⅇ^{\frac{mu_Gi}{R T}})) v_InternR_M2 = kappa_InternR_M2 (ⅇ^{\frac{mu_RM2_tag + mu_GRKArr}{R T}} - (ⅇ^{\frac{mu_RM2_GRKArr}{R T}})) v_InternLR_M2 = kappa_InternLR_M2 (ⅇ^{\frac{mu_L_RM2_tag + mu_GRKArr}{R T}} - (ⅇ^{\frac{mu_L_RM2_GRKArr}{R T}}))

v_Rsynthesis = + v_C_M2 + v_L_M2 \frac{d}{d time} (q_RM2_inactive) = - v_Rswitch_M2 - v_L_M2 \frac{d}{d time} (q_L_RM2_inactive) = - v_LRswitch_M2 \frac{d}{d time} (q_LM2) = - v_L_M2 \frac{d}{d time} (q_RM2) = (v_Rswitch_M2 - v_C_M2) + 1.0 v_Rsynthesis \frac{d}{d time} (q_Gi) = (- v_C_M2 - v_R_M2) + v_Reassoc_Gi \frac{d}{d time} (q_RM2_Gi) = v_C_M2 - v_Act1_Gi \frac{d}{d time} (q_L_RM2) = (v_LRswitch_M2 - v_R_M2) + v_L_M2 \frac{d}{d time} (q_L_RM2_Gi) = v_R_M2 - v_Act2_Gi \frac{d}{d time} (q_Gia_GTP) = v_Act1_Gi + v_Act2_Gi - v_Hyd_Gi \frac{d}{d time} (q_Gibetagamma) = v_Act1_Gi + v_Act2_Gi - v_Reassoc_Gi \frac{d}{d time} (q_Gia_GDP) = v_Hyd_Gi - v_Reassoc_Gi \frac{d}{d time} (q_GTP) = - v_Act1_Gi - v_Act2_Gi \frac{d}{d time} (q_GDP) = v_Act1_Gi + v_Act2_Gi \frac{d}{d time} (q_Pi) = v_Hyd_Gi \frac{d}{d time} (q_RM2_tag) = v_Act1_Gi - v_InternR_M2 \frac{d}{d time} (q_L_RM2_tag) = v_Act2_Gi - v_InternLR_M2 \frac{d}{d time} (q_RM2_GRKArr) = v_InternR_M2 \frac{d}{d time} (q_L_RM2_GRKArr) = v_InternLR_M2 \frac{d}{d time} (q_GRKArr) = - v_InternR_M2 - v_InternLR_M2