Model Mathematics

Component: environment

Component: T2

dd time T2 = k_5 LT2 + k_1 Bp T3 + ky T2p Y0 - Yp + kb T2p B0 - Bp - k5 L T2 + k8 T2 + Vmax T2 KR + T2 KR = k1a + k1c k1b Vmax = k1c R + T2R

Component: T3

dd time T3 = k_6 LT3 + k_2 Bp T4 + ky T3p Y0 - Yp + kb T3p B0 - Bp - k6 L T3 + k9 T3 + Vmax T3 KR + T3 KR = k2a + k2c k2b Vmax = k2c R + T3R

Component: T4

dd time T4 = k_7 LT4 + ky T4p Y0 - Yp + kb T4p B0 - Bp - k7 L T4 + k10 T4

Component: T2p

dd time T2p = k_5 LT2p + k_1 Bp T3p + ky T2 Y0 - Yp + kb T2 B0 - Bp - k5 L T2p + k8 T2p + Vmax T2p KR + T2p KR = k1a + k1c k1b Vmax = k1c R + T2pR

Component: T3p

dd time T3p = k_6 LT3p + k_2 Bp T4p + ky T3 Y0 - Yp + kb T3 B0 - Bp - k6 L T3p + k9 T3p + Vmax T3p KR + T3p KR = k2a + k2c k2b Vmax = k2c R + T3pR

Component: T4p

dd time T4p = k_7 LT4p + ky T4 Y0 - Yp + kb T4 B0 - Bp - k7 L T4p + k10 T4p

Component: LT2

dd time LT2 = k_5 T2 + k_3 Bp LT3 + ky LT2p Y0 - Yp + kb LT2p B0 - Bp - k5 L LT2 + k11 LT2 + Vmax LT2 KR + LT2 KR = k3a + k3c k3b Vmax = k3c R + LT2R

Component: LT3

dd time LT3 = k_6 T3 + k_4 Bp LT4 + ky LT3p Y0 - Yp + kb LT3p B0 - Bp - k6 L LT3 + k12 LT3 + Vmax LT3 KR + LT3 KR = k4a + k4c k4b Vmax = k4c R + LT3R

Component: LT4

dd time LT4 = k_7 T4 + ky LT4p Y0 - Yp + kb LT4p B0 - Bp - k7 L LT4 + k13 LT4

Component: LT2p

dd time LT2p = k_5 T2p + k_3 Bp LT3p + ky LT2 Y0 - Yp + kb LT2 B0 - Bp - k5 L LT2p + k11 LT2p + Vmax LT2p KR + LT2p KR = k3a + k3c k3b Vmax = k3c R + LT2pR

Component: LT3p

dd time LT3p = k_6 T3p + k_4 Bp LT4p + ky LT3 Y0 - Yp + kb LT3 B0 - Bp - k6 L LT3p + k12 LT3p + Vmax LT3p KR + LT3p KR = k4a + k4c k4b Vmax = k4c R + LT3pR

Component: LT4p

dd time LT4p = k_7 T4p + ky LT4p Y0 - Yp + kb LT4p B0 - Bp - k7 L LT4p + k13 LT4p

Component: Yp

dd time Yp = ky P Y0 - Yp - k_y Z Yp

Component: Bp

dd time Bp = kb P B0 - Bp - k_b Bp

Component: P

P = T2p + LT2p + T3p + LT3p + T4p + LT4p

Component: T2R

dd time T2R = k1b T2 R - k1a T2R + k1c T2R

Component: T3R

dd time T3R = k2b T3 R - k2a T3R + k2c T3R

Component: T2pR

dd time T2pR = k1b T2p R - k1a T2pR + k1c T2pR

Component: T3pR

dd time T3pR = k2b T3p R - k2a T3pR + k2c T3pR

Component: LT2R

dd time LT2R = k3b LT2 R - k3a LT2R + k3c LT2R

Component: LT3R

dd time LT3R = k4b LT3 R - k4a LT3R + k4c LT3R

Component: LT2pR

dd time LT2pR = k3b LT2p R - k3a LT2pR + k3c LT2pR

Component: LT3pR

dd time LT3pR = k4b LT3p R - k4a LT3pR + k4c LT3pR

Component: L

Component: R

Component: Z

Component: Y0

Component: B0

Component: model_parameters