Model Mathematics

\frac{d}{d time} (phi_I) = alpha K_T + k1 k2 phi_I (1.0 - (k3 (phi_I + phi_R) + k5 F + k6 C)) - (d1 phi_I)

\frac{d}{d time} (phi_R) = (1.0 - alpha) K_T + k1 k2 phi_R (1.0 - (k3 (phi_I + phi_R) + k5 F + k6 C)) - (d1 phi_R)

\frac{d}{d time} (T) = k4 phi_I + k7 F - (d2 T)

\frac{d}{d time} (P) = k8 (phi_I + phi_R) + k9 F - (d3 P)

\frac{d}{d time} (F) = M_P + k10 F (1.0 - (k3 (phi_I + phi_R) + k5 F + k6 C)) - (d4 F)

\frac{d}{d time} (C) = k11 F f_T g_C - (d5 F C)

\frac{d}{d time} (H) = k12 F - (d6 H)

K_T = tau1 T^{3.0} + tau2 T^{2.0} + tau3 T + tau4

M_P = tau1 P^{3.0} + tau2 P^{2.0} + tau3 P + tau4

f_T = tau1 T^{3.0} + tau2 T^{2.0} + tau3 T + tau4

g_C = tau1 C^{3.0} + tau2 C^{2.0} + tau3 C + tau4

alpha = (- (0.197 \log_{10} H)) + 0.4407