Model Mathematics

\frac{d}{d time} (H1) = (- (betaIP H1)) + A

\frac{d}{d time} (H2) = betaIP H1 - (betaCP H2 + betaIS H2)

\frac{d}{d time} (H3) = betaIS H2 - (betaCS H3)

\frac{d}{d time} (A) = \{\begin{matrix} Amax \frac{1.0 - (ⅇ^{(- lamda) (time - t_on)})}{1.0 - (ⅇ^{(- lamda) (t_off - t_on)})} if time < t_off \lor time \geq t_on \\ Amax ⅇ^{(- alpha) (time - t_off)} if time \geq t_off \end{matrix} \frac{d}{d time} (A_) = A (1.0 - (m B_))

alph = alph_0 {(\frac{I}{I0})}^{p} \frac{I}{I + 100.0} B_= G (1.0 - n) alph \frac{d}{d time} (n) = 60.0 (alph (1.0 - n) - (beta n)) \frac{d}{d time} (I) = \{\begin{matrix} 0.0 if time \geq 0.0 \land time < 4.75 \\ 9500.0 if time \geq 4.75 \land time < 11.2 \\ 0.0 otherwise \end{matrix}

\frac{d}{d time} (x) = \frac{π}{12.0} (xc + mu (\frac{1.0}{3.0} x + \frac{4.0}{3.0} x^{3.0} - (\frac{256.0}{105.0} x^{7.0})) + B) \frac{d}{d time} (xc) = \frac{π}{12.0} ((q B xc - (x {(\frac{24.0}{0.99729 tau_x})}^{2.0})) + k B) B = B_(1.0 - (0.4 x)) (1.0 - (0.4 xc))