Model Mathematics

\frac{d}{d time} (Per_m) = C1 + S1 \frac{{(\frac{CC_n}{A1})}^{a} + B1}{1.0 + {(\frac{PT_n}{R1})}^{r} + {(\frac{CC_n}{A1})}^{a} + B1} - (D1 \frac{Per_m}{L1 + Per_m} + D0 Per_m)

\frac{d}{d time} (Per_c) = S2 Per_m + V2 PT_c - (V1 Per_c Tim_c + D2 Dbt_c \frac{Per_c}{L2 + Per_c} + D0 Per_c)

\frac{d}{d time} (Tim_m) = C2 + S3 \frac{{(\frac{CC_n}{A2})}^{a} + B2}{1.0 + {(\frac{PT_n}{R2})}^{r} + {(\frac{CC_n}{A2})}^{a} + B2} - (D3 \frac{Tim_m}{L3 + Tim_m} + D0 Tim_m)

\frac{d}{d time} (Tim_c) = S4 Tim_m + V2 PT_c - (V1 Per_c Tim_c + D4 \frac{Tim_c}{L4 + Tim_c} + D0 Tim_c)

\frac{d}{d time} (PT_c) = V1 Per_c Tim_c + T2 \frac{PT_n}{K2 + PT_n} - (V2 PT_c + T1 \frac{PT_c}{K1 + PT_c} + D5 \frac{PT_c}{L5 + PT_c} + D0 PT_c)

\frac{d}{d time} (PT_n) = T1 \frac{PT_c}{K1 + PT_c} - (T2 \frac{PT_n}{K2 + PT_n} + D6 \frac{PT_n}{L6 + PT_n} + D0 PT_n)

\frac{d}{d time} (Clk_m) = C3 + S5 \frac{{(\frac{PT_n}{A3})}^{a} + B3}{1.0 + {(\frac{CC_n}{R3})}^{r} + {(\frac{PT_n}{A3})}^{a} + B3} - (D7 \frac{Clk_m}{L7 + Clk_m} + D0 Clk_m)

\frac{d}{d time} (Clk_c) = S6 Clk_m + V4 CC_c - (V3 Clk_c Cyc_c + D8 \frac{Clk_c}{L8 + Clk_c} + D0 Clk_c)

\frac{d}{d time} (CC_c) = V3 Clk_c Cyc_c + T4 \frac{CC_n}{K4 + CC_n} - (V4 CC_c + T3 \frac{CC_c}{K3 + CC_c} + D9 \frac{CC_c}{L9 + CC_c} + D0 CC_c)

\frac{d}{d time} (CC_n) = T3 \frac{CC_c}{K3 + CC_c} - (T4 \frac{CC_n}{K4 + CC_n} + D10 \frac{CC_n}{L10 + CC_n} + D0 CC_n)