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Model Mathematics

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Component: environment

Component: B

B = \frac{F n2 K2 Cp}{1 + K2 F}

Component: R

R = \frac{ISF Vmax fu C}{Km + fu C} fu = \frac{F}{F + B} ISF = (- 8.3212) + 2.0401 age + 4.1962 \log_{10} (age 365)

Component: Ca

\frac{d}{d time} (Ca) = \frac{Qc (Cv - Ca)}{Va + Vv}

Component: Cv

Cv = \frac{\frac{Q C}{P}}{Qc}

Component: C

\frac{d}{d time} (C) = \frac{Q (Ca - (\frac{C}{P})) - (R 1)}{V}

Component: model_constants

Source: Derived from workspace Yang, Tong, Mccarver, Hines, Beard, 2006 at changeset 4c73f9690f45.

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Population-Based Analysis of Methadone Distribution and Metabolism Using an Age-Dependent Physiologically Based Pharmacokinetic Model