Model Mathematics

Component: environment

Component: Cgen_pp

ddtime Cgen_pp = Qpp H_Cgen_B Cgen_B - Qpp H_Cgen_pp Cgen_pp Ppp Vpp H_Cgen_pp = 0.0 if Cgen_pp < 0.0 1.0 otherwise Qpp = 0.528 Qt

Component: Cgen_rp

ddtime Cgen_rp = Qrp H_Cgen_B Cgen_B - Qrp H_Cgen_rp Cgen_rp Prp Vrp - kgen_urine H_Cgen_rp Cgen_rp H_Cgen_rp = 0.0 if Cgen_rp < 0.0 1.0 otherwise Qrp = 0.289 Qt

Component: Cgen_l

ddtime Cgen_l = Ql H_Cgen_B Cgen_B - Ql + QGI H_Cgen_l Cgen_l Pl + vinf + QGI H_Cgen_GI Cgen_GI Prp Vl - Vmax H_Cgen_l Cgen_l Km + H_Cgen_l Cgen_l H_Cgen_l = 0.0 if Cgen_l < 0.0 1.0 otherwise Ql = 0.03 Qt

Component: Cgen_GI

ddtime Cgen_GI = QGI H_Cgen_B Cgen_B - QGI H_Cgen_GI Cgen_GI Prp VGI H_Cgen_GI = 0.0 if Cgen_GI < 0.0 1.0 otherwise QGI = 0.153 Qt

Component: Ccon_l

ddtime Ccon_l = Vmax H_Cgen_l Cgen_l Km + H_Cgen_l Cgen_l - kbile H_Ccon_l Ccon_l + Ql + QGI H_Ccon_l Ccon_l - H_Ccon_ROB Ccon_ROB Vl H_Ccon_l = 0.0 if Ccon_l < 0.0 1.0 otherwise

Component: Ccon_ROB

ddtime Ccon_ROB = Ql + QGI H_Ccon_l Ccon_l - H_Ccon_ROB Ccon_ROB VROB - kcon_urine H_Ccon_ROB Ccon_ROB H_Ccon_ROB = 0.0 if Ccon_ROB < 0.0 1.0 otherwise

Component: Acon_b

ddtime Acon_b = kbile H_Ccon_l Ccon_l Vl d_t_Cgen_l = tbasal + cgen H_Cgen_l Cgen_l - time ct

Component: Cgen_B

Cgen_B = Qrp H_Cgen_rp Cgen_rp Prp + Qpp H_Cgen_pp Cgen_pp Ppp + Ql + QGI H_Cgen_l Cgen_l Pl Qt H_Cgen_B = 0.0 if Cgen_B < 0.0 1.0 otherwise

Component: model_parameters

vinf = cv F if time < epsilon time 0.0 cv G if time 1.0 - epsilon time epsilon cv H if time 1.0 time > 1.0 - epsilon cv I if time 1.0 + 5.0 60.0 time > 1.0 F = -2.0 epsilon 3.0 time 3.0 + 3.0 epsilon 2.0 time 2.0 G = 1.0 H = 3.0 1.0 - time 2.0 epsilon 2.0 - 2.0 1.0 - time 3.0 epsilon 3.0 I = 0.0 Qt = 14.1 m_rat 0.75