Model Mathematics

LPS = \{\begin{matrix} time 2 if time ≦ 0.5 \\ 1 - (\frac{time - 0.5}{1.5}) if time > 0.5 \land time < 2 \\ 0 otherwise \end{matrix} v_1 = LPS PIP_2 k_1 v_2 = PIP_2 k_2 v_3 = DG k_3 v_4 = AA k_4 v_5 = DG GPCho k_5 v_6 = LPS GPCho k_6 v_7 = GPCho k_7 v_8 = AA k_8 v_9 = HETE k_9 v_10 = DG AA k_10 v_11 = LPS AA k_11 v_12 = AA k_12 v_13 = PGH_2 k_13 v_14 = PGE_2 k_14 v_15 = PGH_2 k_15 v_16 = PGF_2a k_16 v_17 = PGH_2 k_17 v_18 = PGD_2 k_18 v_19 = PGD_2 k_19 v_20 = dPGD_2 k_20 v_21 = PGJ_2 k_21 v_22 = dPGJ_2 k_22 \frac{d}{d time} (AA) = (v_1 + v_2 + v_3 - v_4) + v_5 + v_6 + v_7 - v_8 - v_10 - v_11 - v_12 \frac{d}{d time} (HETE) = v_8 - v_9 \frac{d}{d time} (PGH_2) = v_10 + v_11 + v_12 - v_13 - v_15 - v_17 \frac{d}{d time} (PGE_2) = v_13 - v_14 \frac{d}{d time} (PGF_2a) = v_15 - v_16 \frac{d}{d time} (PGD_2) = v_17 - v_18 - v_19 \frac{d}{d time} (PGJ_2) = v_18 - v_21 \frac{d}{d time} (dPGD_2) = v_19 - v_20 \frac{d}{d time} (dPGJ_2) = v_21 - v_22