Model Mathematics

\frac{d}{d time} (K2_E1) = k9 K2_E2 + k1_K2_E1_ATP - (k9_K2_E1 + k1 ATP K2_E1)

\frac{d}{d time} (K2_E1_ATP) = k1 ATP K2_E1 + k11 K2_E2_ATP + k2a_K K_E1_ATP - (k11_K2_E1_ATP + k1_K2_E1_ATP + k2a K2_E1_ATP)

\frac{d}{d time} (K_E1_ATP) = k2a K2_E1_ATP + k2b_K E1_ATP - (k2a_K_E1_ATP + k2b K_E1_ATP)

\frac{d}{d time} (E1_ATP) = k2b K_E1_ATP + k3a_H_E1_ATP - (k2b_K E1_ATP + k3a H E1_ATP)

\frac{d}{d time} (H_E1_ATP) = k3a H E1_ATP + k3b_H2_E1_ATP - (k3a_H_E1_ATP + k3b H H_E1_ATP)

\frac{d}{d time} (H2_E1_ATP) = k3b H H_E1_ATP + k4_ADP H2_E1_P - (k3b_H2_E1_ATP + k4 H2_E1_ATP)

\frac{d}{d time} (H2_E1_P) = k4 H2_E1_ATP + k5_H2_E2_P - (k4_ADP H2_E1_P + k5 H2_E1_P)

\frac{d}{d time} (H2_E2_P) = k6a_H H_E2_P + k5 H2_E1_P - (k6a H2_E2_P + k5_H2_E2_P)

\frac{d}{d time} (H_E2_P) = k6a H2_E2_P + k6b_H E2_P - (k6a_H H_E2_P + k6b H_E2_P)

\frac{d}{d time} (E2_P) = k7a_K_E2_P + k6b H_E2_P - (k6b_H E2_P + k7a K E2_P)

\frac{d}{d time} (K_E2_P) = k7a K E2_P + k7b_K2_E2_P - (k7a_K_E2_P + k7b K K_E2_P)

\frac{d}{d time} (K2_E2_P) = k7b K K_E2_P + k8_P K2_E2 - (k8 K2_E2_P + k7b_K2_E2_P)

\frac{d}{d time} (K2_E2) = k8 K2_E2_P + k10_K2_E2_ATP + k9_K2_E1 - (k8_P K2_E2 + k10 ATP K2_E2 + k9 K2_E2)

\frac{d}{d time} (K2_E2_ATP) = k10 ATP K2_E2 + k11_K2_E1_ATP - (k10_K2_E2_ATP + k11 K2_E2_ATP)