Model Mathematics

\frac{d}{d time} (Y) = k1 C1 \frac{P}{K + P} C - (k2 C2 (1.0 - (\frac{P}{K + P})) Y + ky Y)

\frac{d}{d time} (X) = k2 C2 (1.0 - (\frac{P}{K + P})) Y - (k3 X)

\frac{d}{d time} (P) = \{\begin{matrix} 10.0 - (k4 P) if time \geq 0.0 \land time < 6.0 \\ - (k4 P) if time \geq 6.0 \land time < 12.0 \\ 10.0 - (k4 P) if time \geq 12.0 \land time < 18.0 \\ - (k4 P) if time \geq 18.0 \land time < 24.0 \\ 10.0 - (k4 P) if time \geq 24.0 \land time < 30.0 \\ - (k4 P) if time \geq 30.0 \land time < 36.0 \\ 10.0 - (k4 P) if time \geq 36.0 \land time < 42.0 \\ - (k4 P) if time \geq 42.0 \land time < 48.0 \\ 10.0 - (k4 P) if time \geq 48.0 \land time < 54.0 \\ - (k4 P) if time \geq 54.0 \land time < 60.0 \\ 10.0 - (k4 P) if time \geq 60.0 \land time < 66.0 \\ - (k4 P) if time \geq 66.0 \land time < 72.0 \\ 10.0 - (k4 P) if time \geq 72.0 \land time < 78.0 \\ - (k4 P) if time \geq 78.0 \land time < 84.0 \\ 10.0 - (k4 P) if time \geq 84.0 \land time < 90.0 \\ - (k4 P) if time \geq 90.0 \land time < 96.0 \end{matrix}

\frac{d}{d time} (Z) = k5 C3 \frac{IL6}{K2 + IL6} - (k6 Z)

\frac{d}{d time} (IL6) = 0.1 X - (10.0 IL6)