Model Mathematics

R_APLC = \frac{APLC}{K_P + APLC} R_PKC = \frac{\frac{DG}{K_D + DG} C_cyt}{K_R + C_cyt} R_G = \frac{G^{n}}{{K_G}^{n} + G^{n}} R_DG = \frac{{DG}^{m}}{{K_D}^{m} + {DG}^{m}} R_IP_3 = \frac{{IP_3}^{3}}{{K_S}^{3} + {IP_3}^{3}} R_Cyt1 = \frac{C_cyt}{K_C1 + C_cyt} R_Cyt2 = \frac{C_cyt}{K_C2 + C_cyt} R_ER = \frac{{C_ER}^{w}}{{K_ER}^{w} + {C_ER}^{w}}

\frac{d}{d time} (G) = k_0 + k_1 G - (k_2 R_APLC G) - (k_3 R_PKC G)

PLC = C_PLC_T - APLC \frac{d}{d time} (APLC) = k_4 R_G R_DG PLC - (k_5 APLC)

\frac{d}{d time} (IP_3) = k_6 APLC - (k_7 IP_3)

DG = IP_3

\frac{d}{d time} (C_cyt) = beta ((rho (k_8 R_IP_3 R_ER - (k_9 R_Cyt1)) - (k_10 R_Cyt2)) + k_11)

\frac{d}{d time} (C_ER) = lambda ((- k_8) R_IP_3 R_ER + k_9 R_Cyt1)