Model Mathematics

\frac{d}{d time} (R) = phi_2b O + (k_1b + l_2b) I_1 - (phi_2 p R + phi_1 R)

\frac{d}{d time} (O) = phi_2 p R + phi_4b A + k_3b S - ((phi_2b + phi_4 + 1.0 phi_3) O)

S = 1.0 - (R + O + A + I_1 + I_2)

\frac{d}{d time} (I_1) = phi_1 R - ((k_1b + l_2b) I_1)

\frac{d}{d time} (I_2) = phi_5 A - ((k_1b + l_2b) I_2)

\frac{d}{d time} (A) = phi_4 O + (k_1b + l_2b) I_2 - (phi_4b A + phi_5 A)

phi_1 = \frac{(k_1a L_1 + l_2a) c}{L_1 + c (1.0 + \frac{L_1}{L_3})} phi_2 = \frac{k_2a L_3 + l_4a c}{L_3 + c (1.0 + \frac{L_3}{L_1})} phi_2b = \frac{k_2b + l_4b c}{1.0 + \frac{c}{L_5}} phi_3 = \frac{k_3a L_5}{c + L_5} phi_4 = \frac{(k_4a L_5 + l_6a) c}{c + L_5} phi_4b = \frac{L_1 (k_4b + l_6b)}{c + L_1} phi_5 = \frac{(k_1a L_1 + l_2a) c}{c + L_1}