Model Mathematics

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Component: BG_parameters

Component: environment

m = \frac{stimMag}{tRamp} q_L_B1_init = \{\begin{matrix} stimHolding + m ((time - stimSt) + tRamp) if time < stimSt \land time > stimSt - tRamp \\ stimMag + stimHolding if time \geq stimSt \land time < stimSt + stimDur \\ stimHolding + (- m) (time - stimSt - tRamp - stimDur) if time < stimSt + tRamp + stimDur \land time \geq stimSt + stimDur \\ stimHolding otherwise \end{matrix} q_L_M2_init = \{\begin{matrix} stimHolding + m ((time - stimSt2) + tRamp) if time < stimSt2 \land time > stimSt2 - tRamp \\ stimMag + stimHolding if time \geq stimSt2 \land time < stimSt2 + stimDur \\ stimHolding + (- m) (time - stimSt2 - tRamp - stimDur) if time < stimSt2 + tRamp + stimDur \land time \geq stimSt2 + stimDur \\ stimHolding otherwise \end{matrix}

L_B1_T = q_L_B1 + q_LR_B1Gs + q_LR_B1 + q_LR_B1_aby + q_LR_B1_aby_T L_M2_T = q_L_M2 + q_LR_M2Gi + q_LR_M2 + q_LR_M2_aby + q_LR_M2_aby_T R_B1_T = q_R_B1 + q_R_B1Gs + q_LR_B1 + q_LR_B1Gs + q_R_B1_aby + q_R_B1_aby_T + q_LR_B1_aby + q_LR_B1_aby_T R_M2_T = q_R_M2 + q_R_M2Gi + q_LR_M2 + q_LR_M2Gi + q_R_M2_aby + q_R_M2_aby_T + q_LR_M2_aby + q_LR_M2_aby_T Gs_T = q_Gs + q_R_B1Gs + q_LR_B1Gs + q_a_Gs_GTP + q_a_Gs_GDP + q_R_B1_aby + q_R_B1_aby_T + q_LR_B1_aby + q_LR_B1_aby_T Gi_T = q_Gi + q_R_M2Gi + q_LR_M2Gi + q_a_Gi_GTP + q_a_Gi_GDP + q_R_M2_aby + q_R_M2_aby_T + q_LR_M2_aby + q_LR_M2_aby_T adenosine_T = q_cAMP + q_PDE_cAMP + q_five_AMP + q_ATP + q_AC_ATP + q_a_Gs_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_a_Gs_GTP_AC = q_a_Gs_GTP_AC_init + q_a_Gs_GTP_AC_mcAMP q_a_Gs_GTP_AC_ATP = q_a_Gs_GTP_AC_ATP_init + q_a_Gs_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_a_Gs_GTP = q_a_Gs_GTP_init + q_a_Gs_GTP_mcAMP + q_a_Gs_GTP_mGsProtein q_FSK = q_FSK_init + q_FSK_mcAMP q_a_Gi_GTP = q_a_Gi_GTP_init + q_a_Gi_GTP_mcAMP + q_a_Gi_GTP_mGiProtein q_ACinh = q_ACinh_init + q_ACinh_mcAMP q_PPi = q_PPi_init + q_PPi_mcAMP q_L_B1 = q_L_B1_init + q_L_B1_mLRGbinding_B1AR q_R_B1 = q_R_B1_init + q_R_B1_mLRGbinding_B1AR + q_R_B1_mGsProtein q_Gs = q_Gs_init + q_Gs_mLRGbinding_B1AR + q_Gs_mGsProtein q_LR_B1 = q_LR_B1_init + q_LR_B1_mLRGbinding_B1AR + q_LR_B1_mGsProtein q_R_B1Gs = q_R_B1Gs_init + q_R_B1Gs_mLRGbinding_B1AR + q_R_B1Gs_mGsProtein q_LR_B1Gs = q_LR_B1Gs_init + q_LR_B1Gs_mLRGbinding_B1AR + q_LR_B1Gs_mGsProtein q_L_M2 = q_L_M2_init + q_L_M2_mLRGbinding_M2 q_R_M2 = q_R_M2_init + q_R_M2_mLRGbinding_M2 + q_R_M2_mGiProtein q_Gi = q_Gi_init + q_Gi_mLRGbinding_M2 + q_Gi_mGiProtein q_LR_M2 = q_LR_M2_init + q_LR_M2_mLRGbinding_M2 + q_LR_M2_mGiProtein q_R_M2Gi = q_R_M2Gi_init + q_R_M2Gi_mLRGbinding_M2 + q_R_M2Gi_mGiProtein q_LR_M2Gi = q_LR_M2Gi_init + q_LR_M2Gi_mLRGbinding_M2 + q_LR_M2Gi_mGiProtein q_beta_gamma_Gs = q_beta_gamma_Gs_init + q_beta_gamma_Gs_mGsProtein q_a_Gs_GDP = q_a_Gs_GDP_init + q_a_Gs_GDP_mGsProtein q_Pi = q_Pi_init + q_Pi_mGsProtein + q_Pi_mGiProtein q_R_B1_aby = q_R_B1_aby_init + q_R_B1_aby_mGsProtein q_R_B1_aby_T = q_R_B1_aby_T_init + q_R_B1_aby_T_mGsProtein q_LR_B1_aby = q_LR_B1_aby_init + q_LR_B1_aby_mGsProtein q_LR_B1_aby_T = q_LR_B1_aby_T_init + q_LR_B1_aby_T_mGsProtein q_GTP = q_GTP_init + q_GTP_mGsProtein + q_GTP_mGiProtein q_GDP = q_GDP_init + q_GDP_mGsProtein + q_GDP_mGiProtein q_beta_gamma_Gi = q_beta_gamma_Gi_init + q_beta_gamma_Gi_mGiProtein q_a_Gi_GDP = q_a_Gi_GDP_init + q_a_Gi_GDP_mGiProtein q_R_M2_aby = q_R_M2_aby_init + q_R_M2_aby_mGiProtein q_R_M2_aby_T = q_R_M2_aby_T_init + q_R_M2_aby_T_mGiProtein q_LR_M2_aby = q_LR_M2_aby_init + q_LR_M2_aby_mGiProtein q_LR_M2_aby_T = q_LR_M2_aby_T_init + q_LR_M2_aby_T_mGiProtein

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_a_Gs_GTP_AC = q_a_Gs_GTP_AC_mcAMP + q_a_Gs_GTP_AC_init q_a_Gs_GTP_AC_ATP = q_a_Gs_GTP_AC_ATP_mcAMP + q_a_Gs_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_a_Gs_GTP = q_a_Gs_GTP_mcAMP + q_a_Gs_GTP_init q_FSK = q_FSK_mcAMP + q_FSK_init q_a_Gi_GTP = q_a_Gi_GTP_mcAMP + q_a_Gi_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_a_Gs_GTP_AC = R T \ln (K_a_Gs_GTP_AC q_a_Gs_GTP_AC_global) mu_a_Gs_GTP_AC_ATP = R T \ln (K_a_Gs_GTP_AC_ATP q_a_Gs_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_a_Gs_GTP = R T \ln (K_a_Gs_GTP q_a_Gs_GTP_global) mu_FSK = R T \ln (K_FSK q_FSK_global) mu_a_Gi_GTP = R T \ln (K_a_Gi_GTP q_a_Gi_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_a_Gs_GTP_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_a_Gs_GTP_AC_ATP}{R T}})) v2b = kappa_2b (ⅇ^{\frac{mu_a_Gs_GTP_AC_ATP}{R T}} - (ⅇ^{\frac{mu_a_Gs_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_a_Gs_GTP}{R T}} - (ⅇ^{\frac{mu_a_Gs_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_a_Gi_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_a_Gs_GTP) = - v6 \frac{d}{d time} (q_a_Gs_GTP_AC) = (v6 - v2a) + v2b \frac{d}{d time} (q_a_Gs_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_a_Gi_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_a_Gs_GTP_AC_ATP_global AC_T = q_AC_global + q_AC_ATP_global + q_FSK_AC_global + q_FSK_AC_ATP_global + q_a_Gs_GTP_AC_global + q_a_Gs_GTP_AC_ATP_global Gs_T = q_a_Gs_GTP_global + q_a_Gs_GTP_AC_global + q_a_Gs_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_L_B1_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_L_B1 = q_L_B1_mLRGbinding_B1AR + q_L_B1_init q_R_B1 = q_R_B1_mLRGbinding_B1AR + q_R_B1_init q_Gs = q_Gs_mLRGbinding_B1AR + q_Gs_init q_LR_B1 = q_LR_B1_mLRGbinding_B1AR + q_LR_B1_init q_R_B1Gs = q_R_B1Gs_mLRGbinding_B1AR + q_R_B1Gs_init q_LR_B1Gs = q_LR_B1Gs_mLRGbinding_B1AR + q_LR_B1Gs_init

Component: LRGbinding_parameters

Component: LRGbinding_B1AR

mu_L_B1 = R T \ln (K_L_B1 q_L_B1_global) mu_R_B1 = R T \ln (K_R_B1 q_R_B1_global) mu_Gs = R T \ln (K_Gs q_Gs_global) mu_LR_B1 = R T \ln (K_LR_B1 q_LR_B1_global) mu_R_B1Gs = R T \ln (K_R_B1Gs q_R_B1Gs_global) mu_LR_B1Gs = R T \ln (K_LR_B1Gs q_LR_B1Gs_global) vsig1_B1 = kappa_sig1_B1 ⅇ^{\frac{mu_R_B1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_R_B1Gs}{R T}}) vsig2_B1 = kappa_sig2_B1 ⅇ^{\frac{mu_R_B1Gs + mu_L_B1}{R T}} - (ⅇ^{\frac{mu_LR_B1Gs}{R T}}) vsig3_B1 = kappa_sig3_B1 ⅇ^{\frac{mu_LR_B1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_LR_B1Gs}{R T}}) vsig4_B1 = kappa_sig4_B1 ⅇ^{\frac{mu_R_B1 + mu_L_B1}{R T}} - (ⅇ^{\frac{mu_LR_B1}{R T}}) \frac{d}{d time} (q_L_B1) = - vsig2_B1 - vsig4_B1 \frac{d}{d time} (q_R_B1) = - vsig1_B1 - vsig4_B1 \frac{d}{d time} (q_Gs) = - vsig1_B1 - vsig3_B1 \frac{d}{d time} (q_LR_B1) = (- vsig3_B1) + vsig4_B1 \frac{d}{d time} (q_R_B1Gs) = vsig1_B1 - vsig2_B1 \frac{d}{d time} (q_LR_B1Gs) = vsig2_B1 + vsig3_B1

L_T = q_L_B1_global + q_LR_B1_global + q_LR_B1Gs_global R_T = q_R_B1_global + q_LR_B1_global + q_R_B1Gs_global + q_LR_B1Gs_global Gs_T = q_Gs_global + q_R_B1Gs_global + q_LR_B1Gs_global

Component: units

Component: constants

Component: environment

q_L_M2 = q_L_M2_mLRGbinding_M2 + q_L_M2_init q_R_M2 = q_R_M2_mLRGbinding_M2 + q_R_M2_init q_Gi = q_Gi_mLRGbinding_M2 + q_Gi_init q_LR_M2 = q_LR_M2_mLRGbinding_M2 + q_LR_M2_init q_R_M2Gi = q_R_M2Gi_mLRGbinding_M2 + q_R_M2Gi_init q_LR_M2Gi = q_LR_M2Gi_mLRGbinding_M2 + q_LR_M2Gi_init q_L_M2_init = \{\begin{matrix} 1 e -4 if time < 5 e -1 \land time > 4 e -1 \\ 1 e -4 otherwise \end{matrix}

Component: LRGbinding_parameters

Component: LRGbinding_M2

mu_L_M2 = R T \ln (K_L_M2 q_L_M2_global) mu_R_M2 = R T \ln (K_R_M2 q_R_M2_global) mu_Gi = R T \ln (K_Gi q_Gi_global) mu_LR_M2 = R T \ln (K_LR_M2 q_LR_M2_global) mu_R_M2Gi = R T \ln (K_R_M2Gi q_R_M2Gi_global) mu_LR_M2Gi = R T \ln (K_LR_M2Gi q_LR_M2Gi_global) vsig1_M2 = kappa_sig1_M2 ⅇ^{\frac{mu_R_M2 + mu_Gi}{R T}} - (ⅇ^{\frac{mu_R_M2Gi}{R T}}) vsig2_M2 = kappa_sig2_M2 ⅇ^{\frac{mu_R_M2Gi + mu_L_M2}{R T}} - (ⅇ^{\frac{mu_LR_M2Gi}{R T}}) vsig3_M2 = kappa_sig3_M2 ⅇ^{\frac{mu_LR_M2 + mu_Gi}{R T}} - (ⅇ^{\frac{mu_LR_M2Gi}{R T}}) vsig4_M2 = kappa_sig4_M2 ⅇ^{\frac{mu_R_M2 + mu_L_M2}{R T}} - (ⅇ^{\frac{mu_LR_M2}{R T}}) \frac{d}{d time} (q_L_M2) = - vsig2_M2 - vsig4_M2 \frac{d}{d time} (q_R_M2) = - vsig1_M2 - vsig4_M2 \frac{d}{d time} (q_Gi) = - vsig1_M2 - vsig3_M2 \frac{d}{d time} (q_LR_M2) = (- vsig3_M2) + vsig4_M2 \frac{d}{d time} (q_R_M2Gi) = vsig1_M2 - vsig2_M2 \frac{d}{d time} (q_LR_M2Gi) = vsig2_M2 + vsig3_M2

L_T = q_L_M2_global + q_LR_M2_global + q_LR_M2Gi_global R_T = q_R_M2_global + q_LR_M2_global + q_R_M2Gi_global + q_LR_M2Gi_global Gi_T = q_Gi_global + q_R_M2Gi_global + q_LR_M2Gi_global

Component: units

Component: constants

Component: environment

q_R_B1 = q_R_B1_mGsProtein + q_R_B1_init q_Gs = q_Gs_mGsProtein + q_Gs_init q_R_B1Gs = q_R_B1Gs_mGsProtein + q_R_B1Gs_init q_LR_B1 = q_LR_B1_mGsProtein + q_LR_B1_init q_LR_B1Gs = q_LR_B1Gs_mGsProtein + q_LR_B1Gs_init q_a_Gs_GTP = q_a_Gs_GTP_mGsProtein + q_a_Gs_GTP_init q_beta_gamma_Gs = q_beta_gamma_Gs_mGsProtein + q_beta_gamma_Gs_init q_a_Gs_GDP = q_a_Gs_GDP_mGsProtein + q_a_Gs_GDP_init q_Pi = q_Pi_mGsProtein + q_Pi_init q_R_B1_aby = q_R_B1_aby_mGsProtein + q_R_B1_aby_init q_R_B1_aby_T = q_R_B1_aby_T_mGsProtein + q_R_B1_aby_T_init q_LR_B1_aby = q_LR_B1_aby_mGsProtein + q_LR_B1_aby_init q_LR_B1_aby_T = q_LR_B1_aby_T_mGsProtein + q_LR_B1_aby_T_init q_GTP = q_GTP_mGsProtein + q_GTP_init q_GDP = q_GDP_mGsProtein + q_GDP_init

Component: GsProtein_parameters

Component: GsProtein

mu_R_B1 = R T \ln (K_R_B1 q_R_B1_global) mu_Gs = R T \ln (K_Gs q_Gs_global) mu_R_B1Gs = R T \ln (K_R_B1Gs q_R_B1Gs_global) mu_LR_B1 = R T \ln (K_LR_B1 q_LR_B1_global) mu_LR_B1Gs = R T \ln (K_LR_B1Gs q_LR_B1Gs_global) mu_a_Gs_GTP = R T \ln (K_a_Gs_GTP q_a_Gs_GTP_global) mu_beta_gamma_Gs = R T \ln (K_beta_gamma_Gs q_beta_gamma_Gs_global) mu_a_Gs_GDP = R T \ln (K_a_Gs_GDP q_a_Gs_GDP_global) mu_Pi = R T \ln (K_Pi q_Pi_global) mu_R_B1_aby = R T \ln (K_R_B1_aby q_R_B1_aby_global) mu_R_B1_aby_T = R T \ln (K_R_B1_aby_T q_R_B1_aby_T_global) mu_LR_B1_aby = R T \ln (K_LR_B1_aby q_LR_B1_aby_global) mu_LR_B1_aby_T = R T \ln (K_LR_B1_aby_T q_LR_B1_aby_T_global) mu_GTP = R T \ln (K_GTP q_GTP_global) mu_GDP = R T \ln (K_GDP q_GDP_global) vDoff1_Gs = kappa_Doff1_Gs (ⅇ^{\frac{mu_R_B1Gs}{R T}} - (ⅇ^{\frac{mu_R_B1_aby + mu_GDP}{R T}})) vTon1_Gs = kappa_Ton1_Gs (ⅇ^{\frac{mu_R_B1_aby + mu_GTP}{R T}} - (ⅇ^{\frac{mu_R_B1_aby_T}{R T}})) vAct1_Gs = kappa_Act1_Gs (ⅇ^{\frac{mu_R_B1_aby_T}{R T}} - (ⅇ^{\frac{mu_a_Gs_GTP + mu_beta_gamma_Gs + mu_R_B1}{R T}})) vDoff2_Gs = kappa_Doff2_Gs (ⅇ^{\frac{mu_LR_B1Gs}{R T}} - (ⅇ^{\frac{mu_LR_B1_aby + mu_GDP}{R T}})) vTon2_Gs = kappa_Ton2_Gs (ⅇ^{\frac{mu_LR_B1_aby + mu_GTP}{R T}} - (ⅇ^{\frac{mu_LR_B1_aby_T}{R T}})) vAct2_Gs = kappa_Act2_Gs (ⅇ^{\frac{mu_LR_B1_aby_T}{R T}} - (ⅇ^{\frac{mu_a_Gs_GTP + mu_beta_gamma_Gs + mu_LR_B1}{R T}})) vhyd_Gs = kappa_hyd_Gs (ⅇ^{\frac{mu_a_Gs_GTP}{R T}} - (ⅇ^{\frac{mu_a_Gs_GDP + mu_Pi}{R T}})) vreassoc_Gs = kappa_reassoc_Gs (ⅇ^{\frac{mu_a_Gs_GDP + mu_beta_gamma_Gs}{R T}} - (ⅇ^{\frac{mu_Gs}{R T}})) \frac{d}{d time} (q_R_B1) = vAct1_Gs \frac{d}{d time} (q_R_B1Gs) = - vDoff1_Gs \frac{d}{d time} (q_Gs) = vreassoc_Gs \frac{d}{d time} (q_LR_B1) = vAct2_Gs \frac{d}{d time} (q_LR_B1Gs) = - vDoff2_Gs \frac{d}{d time} (q_a_Gs_GTP) = vAct1_Gs + vAct2_Gs - vhyd_Gs \frac{d}{d time} (q_beta_gamma_Gs) = vAct1_Gs + vAct2_Gs - vreassoc_Gs \frac{d}{d time} (q_a_Gs_GDP) = vhyd_Gs - vreassoc_Gs \frac{d}{d time} (q_Pi) = vhyd_Gs \frac{d}{d time} (q_R_B1_aby) = vDoff1_Gs - vTon1_Gs \frac{d}{d time} (q_R_B1_aby_T) = vTon1_Gs - vAct1_Gs \frac{d}{d time} (q_LR_B1_aby) = vDoff2_Gs - vTon2_Gs \frac{d}{d time} (q_LR_B1_aby_T) = vTon2_Gs - vAct2_Gs \frac{d}{d time} (q_GTP) = - vTon1_Gs - vTon2_Gs \frac{d}{d time} (q_GDP) = vDoff1_Gs + vDoff2_Gs

R_T = q_R_B1_global + q_R_B1Gs_global + q_LR_B1_global + q_LR_B1Gs_global + q_R_B1_aby_global + q_R_B1_aby_T_global + q_LR_B1_aby_global + q_LR_B1_aby_T_global Gs_T = q_Gs_global + q_R_B1Gs_global + q_LR_B1Gs_global + q_a_Gs_GTP_global + q_a_Gs_GDP_global + q_R_B1_aby_global + q_R_B1_aby_T_global + q_LR_B1_aby_global + q_LR_B1_aby_T_global

Component: units

Component: constants

Component: environment

q_R_M2 = q_R_M2_mGiProtein + q_R_M2_init q_Gi = q_Gi_mGiProtein + q_Gi_init q_R_M2Gi = q_R_M2Gi_mGiProtein + q_R_M2Gi_init q_LR_M2 = q_LR_M2_mGiProtein + q_LR_M2_init q_LR_M2Gi = q_LR_M2Gi_mGiProtein + q_LR_M2Gi_init q_a_Gi_GTP = q_a_Gi_GTP_mGiProtein + q_a_Gi_GTP_init q_beta_gamma_Gi = q_beta_gamma_Gi_mGiProtein + q_beta_gamma_Gi_init q_a_Gi_GDP = q_a_Gi_GDP_mGiProtein + q_a_Gi_GDP_init q_Pi = q_Pi_mGiProtein + q_Pi_init q_R_M2_aby = q_R_M2_aby_mGiProtein + q_R_M2_aby_init q_R_M2_aby_T = q_R_M2_aby_T_mGiProtein + q_R_M2_aby_T_init q_LR_M2_aby = q_LR_M2_aby_mGiProtein + q_LR_M2_aby_init q_LR_M2_aby_T = q_LR_M2_aby_T_mGiProtein + q_LR_M2_aby_T_init q_GTP = q_GTP_mGiProtein + q_GTP_init q_GDP = q_GDP_mGiProtein + q_GDP_init

Component: GiProtein_parameters

Component: GiProtein

mu_R_M2 = R T \ln (K_R_M2 q_R_M2_global) mu_Gi = R T \ln (K_Gi q_Gi_global) mu_R_M2Gi = R T \ln (K_R_M2Gi q_R_M2Gi_global) mu_LR_M2 = R T \ln (K_LR_M2 q_LR_M2_global) mu_LR_M2Gi = R T \ln (K_LR_M2Gi q_LR_M2Gi_global) mu_a_Gi_GTP = R T \ln (K_a_Gi_GTP q_a_Gi_GTP_global) mu_beta_gamma_Gi = R T \ln (K_beta_gamma_Gi q_beta_gamma_Gi_global) mu_a_Gi_GDP = R T \ln (K_a_Gi_GDP q_a_Gi_GDP_global) mu_Pi = R T \ln (K_Pi q_Pi_global) mu_R_M2_aby = R T \ln (K_R_M2_aby q_R_M2_aby_global) mu_R_M2_aby_T = R T \ln (K_R_M2_aby_T q_R_M2_aby_T_global) mu_LR_M2_aby = R T \ln (K_LR_M2_aby q_LR_M2_aby_global) mu_LR_M2_aby_T = R T \ln (K_LR_M2_aby_T q_LR_M2_aby_T_global) mu_GTP = R T \ln (K_GTP q_GTP_global) mu_GDP = R T \ln (K_GDP q_GDP_global) vDoff1_Gi = kappa_Doff1_Gi (ⅇ^{\frac{mu_R_M2Gi}{R T}} - (ⅇ^{\frac{mu_R_M2_aby + mu_GDP}{R T}})) vTon1_Gi = kappa_Ton1_Gi (ⅇ^{\frac{mu_R_M2_aby + mu_GTP}{R T}} - (ⅇ^{\frac{mu_R_M2_aby_T}{R T}})) vAct1_Gi = kappa_Act1_Gi (ⅇ^{\frac{mu_R_M2_aby_T}{R T}} - (ⅇ^{\frac{mu_a_Gi_GTP + mu_beta_gamma_Gi + mu_R_M2}{R T}})) vDoff2_Gi = kappa_Doff2_Gi (ⅇ^{\frac{mu_LR_M2Gi}{R T}} - (ⅇ^{\frac{mu_LR_M2_aby + mu_GDP}{R T}})) vTon2_Gi = kappa_Ton2_Gi (ⅇ^{\frac{mu_LR_M2_aby + mu_GTP}{R T}} - (ⅇ^{\frac{mu_LR_M2_aby_T}{R T}})) vAct2_Gi = kappa_Act2_Gi (ⅇ^{\frac{mu_LR_M2_aby_T}{R T}} - (ⅇ^{\frac{mu_a_Gi_GTP + mu_beta_gamma_Gi + mu_LR_M2}{R T}})) vhyd_Gi = kappa_hyd_Gi (ⅇ^{\frac{mu_a_Gi_GTP}{R T}} - (ⅇ^{\frac{mu_a_Gi_GDP + mu_Pi}{R T}})) vreassoc_Gi = kappa_reassoc_Gi (ⅇ^{\frac{mu_a_Gi_GDP + mu_beta_gamma_Gi}{R T}} - (ⅇ^{\frac{mu_Gi}{R T}})) \frac{d}{d time} (q_R_M2) = vAct1_Gi \frac{d}{d time} (q_R_M2Gi) = - vDoff1_Gi \frac{d}{d time} (q_Gi) = vreassoc_Gi \frac{d}{d time} (q_LR_M2) = vAct2_Gi \frac{d}{d time} (q_LR_M2Gi) = - vDoff2_Gi \frac{d}{d time} (q_a_Gi_GTP) = vAct1_Gi + vAct2_Gi - vhyd_Gi \frac{d}{d time} (q_beta_gamma_Gi) = vAct1_Gi + vAct2_Gi - vreassoc_Gi \frac{d}{d time} (q_a_Gi_GDP) = vhyd_Gi - vreassoc_Gi \frac{d}{d time} (q_Pi) = vhyd_Gi \frac{d}{d time} (q_R_M2_aby) = vDoff1_Gi - vTon1_Gi \frac{d}{d time} (q_R_M2_aby_T) = vTon1_Gi - vAct1_Gi \frac{d}{d time} (q_LR_M2_aby) = vDoff2_Gi - vTon2_Gi \frac{d}{d time} (q_LR_M2_aby_T) = vTon2_Gi - vAct2_Gi \frac{d}{d time} (q_GTP) = - vTon1_Gi - vTon2_Gi \frac{d}{d time} (q_GDP) = vDoff1_Gi + vDoff2_Gi

R_T = q_R_M2_global + q_R_M2Gi_global + q_LR_M2_global + q_LR_M2Gi_global + q_R_M2_aby_global + q_R_M2_aby_T_global + q_LR_M2_aby_global + q_LR_M2_aby_T_global Gi_T = q_Gi_global + q_R_M2Gi_global + q_LR_M2Gi_global + q_a_Gi_GTP_global + q_a_Gi_GDP_global + q_R_M2_aby_global + q_R_M2_aby_T_global + q_LR_M2_aby_global + q_LR_M2_aby_T_global