Model Mathematics

\frac{d}{d time} (q_A) = (- v_R_34) + v_R_78 \frac{d}{d time} (q_M) = (- v_R_12) + v_R_78 \frac{d}{d time} (q_Mp) = v_R_12 - v_R_34 \frac{d}{d time} (q_AM) = v_R_56 - v_R_78 \frac{d}{d time} (q_AMp) = v_R_34 - v_R_56 \frac{d}{d time} (q_Pi) = (- v_R_12) + v_R_56 \frac{d}{d time} (q_Ca_i) = n_Cai_SM (- v_R_12 - v_R_56) \frac{d}{d time} (q_cGMP) = v_R_12 + v_R_56

stress = \frac{q_AM + q_AMp}{1}

mu_A = R T \ln (K_A q_A) mu_M = R T \ln (K_M q_M) mu_Mp = R T \ln (K_Mp q_Mp) mu_AM = R T \ln (K_AM q_AM) mu_AMp = R T \ln (K_AMp q_AMp) mu_Pi = R T \ln (K_Pi q_Pi) mu_Ca_i = R T \ln (K_Ca_i q_Ca_i) mu_cGMP = R T \ln (K_cGMP q_cGMP) v_R_12 = kappa_R_12 (ⅇ^{\frac{mu_M + mu_Pi + n_Cai_SM mu_Ca_i}{R T}} - (ⅇ^{\frac{mu_Mp + mu_cGMP}{R T}})) v_R_34 = kappa_R_34 (ⅇ^{\frac{mu_A + mu_Mp}{R T}} - (ⅇ^{\frac{mu_AMp}{R T}})) v_R_56 = kappa_R_56 (ⅇ^{\frac{mu_AMp + n_Cai_SM mu_Ca_i}{R T}} - (ⅇ^{\frac{mu_AM + mu_Pi + mu_cGMP}{R T}})) v_R_78 = kappa_R_78 (ⅇ^{\frac{mu_AM}{R T}} - (ⅇ^{\frac{mu_A + mu_M}{R T}}))