Model Mathematics

q_PKACI = q_PKACI_mInhib1 + q_PKACI_init q_Ip = q_Ip_mInhib1 + q_Ip_init q_Ip_PKACI = q_Ip_PKACI_mInhib1 + q_Ip_PKACI_init q_PP2a = q_PP2a_mInhib1 + q_PP2a_init q_Ip_PP2a = q_Ip_PP2a_mInhib1 + q_Ip_PP2a_init q_I = q_I_mInhib1 + q_I_init

mu_PKACI = R T \ln (K_PKACI q_PKACI_global) mu_Ip = R T \ln (K_Ip q_Ip_global) mu_Ip_PKACI = R T \ln (K_Ip_PKACI q_Ip_PKACI_global) mu_PP2a = R T \ln (K_PP2a q_PP2a_global) mu_Ip_PP2a = R T \ln (K_Ip_PP2a q_Ip_PP2a_global) mu_I = R T \ln (K_I q_I_global) vPKAi1 = kappa_PKAi1 (ⅇ^{\frac{mu_PKACI + mu_I}{R T}} - (ⅇ^{\frac{mu_Ip_PKACI}{R T}})) vPKAi2 = kappa_PKAi2 (ⅇ^{\frac{mu_Ip_PKACI}{R T}} - (ⅇ^{\frac{mu_PKACI + mu_Ip}{R T}})) vPP2ai1 = kappa_PP2ai1 (ⅇ^{\frac{mu_PP2a + mu_Ip}{R T}} - (ⅇ^{\frac{mu_Ip_PP2a}{R T}})) vPP2ai2 = kappa_PP2ai2 (ⅇ^{\frac{mu_Ip_PP2a}{R T}} - (ⅇ^{\frac{mu_PP2a + mu_I}{R T}})) \frac{d}{d time} (q_PKACI) = vPKAi2 - vPKAi1 \frac{d}{d time} (q_Ip) = vPKAi2 - vPP2ai1 \frac{d}{d time} (q_Ip_PKACI) = vPKAi1 - vPKAi2 \frac{d}{d time} (q_PP2a) = vPP2ai2 - vPP2ai1 \frac{d}{d time} (q_Ip_PP2a) = vPP2ai1 - vPP2ai2 \frac{d}{d time} (q_I) = vPP2ai2 - vPKAi1