You are here: Home / Exposures / Grange, Holford, Guentert, 2001 / A pharmacokinetic model to predict the PK interaction of L-dopa and benserazide in rats (L-dopa + Benserazide)

Model Mathematics

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Component: environment

Component: gastrointestinal_compartment_L_dopa

F_H = 1 - (\frac{CL_H}{Q}) F_G = 1 CL_H = f_H CL_dopa_0 F_c_dopa = F_H F_G \frac{d}{d time} (A_dopa_c) = (- ka_c_dopa) A_dopa_c

Component: body_compartment_L_dopa

\frac{d}{d time} (C_dopa_c) = \frac{1}{V_dopa} (ka_c_dopa A_dopa_c F_c_dopa - (CL_dopa C_dopa_c))

Component: body_compartment_3_OMD

\frac{d}{d time} (C_OMD_c) = \frac{1}{V_OMD_c} (CL_COMT C_dopa_c - (CL_OMD_c C_OMD_c))

Component: L_dopa_clearance

CL_dopa = CL_AADC + CL_COMT + CL_REST CL_AADC = \frac{CL_AADC0}{1 + \frac{C1_M}{ki}} CL_AADC0 = CL_dopa_0 0.69 CL_COMT = CL_dopa_0 0.1 CL_REST = CL_dopa_0 0.21

Component: gastrointestinal_compartment_benserazide

\frac{d}{d time} (A_bens) = (- ka_B) A_bens

Component: central_compartment_benserazide

\frac{d}{d time} (C_bens_central) = \frac{1}{V1_B} ((ka_B A_bens F_B - (CL_bens_total C_bens_central)) + CLd_B (C_bens_peripheral - C_bens_central))

Component: peripheral_compartment_benserazide

\frac{d}{d time} (C_bens_peripheral) = \frac{1}{V2_B} CLd_B (C_bens_central - C_bens_peripheral)

Component: benserazide_clearance

CL_bens_total = \frac{CL_B}{1 - fm} CL_Ro = CL_bens_total fm

Component: gastrointestinal_compartment_Ro

\frac{d}{d time} (A_Ro) = (- ka_M) A_Ro

Component: central_compartment_Ro

\frac{d}{d time} (C_Ro_central) = \frac{1}{V1_M} ((ka_M A_Ro F_Ro - (CL_M C_Ro_central)) + CL_Ro C_bens_central + CLd_M (C_Ro_peripheral - C_Ro_central))

Component: peripheral_compartment_Ro

\frac{d}{d time} (C_Ro_peripheral) = \frac{1}{V2_M} CLd_M (C_Ro_central - C_Ro_peripheral)

Source: Derived from workspace Grange 2001 at changeset 43d391a99d8b.

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