Model Mathematics

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Component: environment

q_L_B1_init = \{\begin{matrix} 1 e -4 if \sin (2 π time) > 0.1 \\ 1 e -6 otherwise \end{matrix}

q_L_B1 = q_L_B1_mB1AR + q_L_B1_init q_R_B1 = q_R_B1_mB1AR + q_R_B1_init q_Gs = q_Gs_mB1AR + q_Gs_init q_LR_B1 = q_LR_B1_mB1AR + q_LR_B1_init q_LR_B1Gs = q_LR_B1Gs_mB1AR + q_LR_B1Gs_init q_B1d = q_B1d_mB1AR + q_B1d_init q_BARK = q_BARK_mB1AR + q_BARK_init q_LR_B1_BARK = q_LR_B1_BARK_mB1AR + q_LR_B1_BARK_init q_LR_B1Gs_BARK = q_LR_B1Gs_BARK_mB1AR + q_LR_B1Gs_BARK_init q_B1p = q_B1p_mB1AR + q_B1p_init q_PKACI = q_PKACI_mB1AR + q_PKACI_init q_R_PKACI = q_R_PKACI_mB1AR + q_R_PKACI_init

Component: B1AR_parameters

Component: 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_LR_B1Gs = R T \ln (K_LR_B1Gs q_LR_B1Gs_global) mu_B1d = R T \ln (K_B1d q_B1d_global) mu_BARK = R T \ln (K_BARK q_BARK_global) mu_LR_B1_BARK = R T \ln (K_LR_B1_BARK q_LR_B1_BARK_global) mu_LR_B1Gs_BARK = R T \ln (K_LR_B1Gs_BARK q_LR_B1Gs_BARK_global) mu_B1p = R T \ln (K_B1p q_B1p_global) mu_PKACI = R T \ln (K_PKACI q_PKACI_global) mu_R_PKACI = R T \ln (K_R_PKACI q_R_PKACI_global) vB11 = kappa_B11 (ⅇ^{\frac{mu_LR_B1 + mu_BARK}{R T}} - (ⅇ^{\frac{mu_LR_B1_BARK}{R T}})) vB12 = kappa_B12 (ⅇ^{\frac{mu_LR_B1_BARK}{R T}} - (ⅇ^{\frac{mu_BARK + mu_B1d + mu_L_B1}{R T}})) vB21 = kappa_B21 (ⅇ^{\frac{mu_LR_B1Gs + mu_BARK}{R T}} - (ⅇ^{\frac{mu_LR_B1Gs_BARK}{R T}})) vB22 = kappa_B22 (ⅇ^{\frac{mu_LR_B1Gs_BARK}{R T}} - (ⅇ^{\frac{mu_BARK + mu_B1d + mu_L_B1 + mu_Gs}{R T}})) vP1 = kappa_P1 (ⅇ^{\frac{mu_R_B1 + mu_PKACI}{R T}} - (ⅇ^{\frac{mu_R_PKACI}{R T}})) vP2 = kappa_P2 (ⅇ^{\frac{mu_R_PKACI}{R T}} - (ⅇ^{\frac{mu_PKACI + mu_B1p}{R T}})) \frac{d}{d time} (q_L_B1) = vB12 + vB22 \frac{d}{d time} (q_R_B1) = - vP1 \frac{d}{d time} (q_Gs) = vB22 \frac{d}{d time} (q_LR_B1) = - vB11 \frac{d}{d time} (q_B1d) = vB12 + vB22 \frac{d}{d time} (q_BARK) = vB12 + vB22 - vB11 - vB21 \frac{d}{d time} (q_LR_B1_BARK) = vB11 - vB12 \frac{d}{d time} (q_LR_B1Gs) = - vB21 \frac{d}{d time} (q_LR_B1Gs_BARK) = vB21 - vB22 \frac{d}{d time} (q_B1p) = - vP1 \frac{d}{d time} (q_PKACI) = vP2 - vP1 \frac{d}{d time} (q_R_PKACI) = vP1 - vP2

Model Mathematics

Component: environment

Component: B1AR_parameters

Component: B1AR

Component: units

Component: constants