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Model Mathematics

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Component: environment

Component: T

\frac{d}{d time} (T) = lamda - (d T + k T VI)

Component: T_

\frac{d}{d time} (T_) = k T (time - tau) VI (time - tau) ⅇ^{(- m) tau} - (delta T_)

Component: VI

\frac{d}{d time} (VI) = N delta T_(1 - epsilon_PI) - (c VI)

Component: VNI

\frac{d}{d time} (VNI) = N delta T_epsilon_PI - (c VNI)

Component: epsilon_PI

epsilon_PI = \frac{Cc}{IC50 + Cc}

Component: Cb

Cb = \frac{F D}{Vd} \frac{ka}{ke - ka} (ⅇ^{(- ka) time} - (ⅇ^{(- ke) time}))

Component: Cc

\frac{d}{d time} (Cc) = kacell Cx - (kecell Cc)

Component: Cx

Cx = \{\begin{matrix} (1 - fb) H Cb - Cc if (1 - fb) H Cb - Cc > 0 \\ 0 otherwise \end{matrix}

Component: kinetic_parameters

Source: Derived from workspace Dixit, Perelson, 2004 at changeset ca90068e1ced.

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Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay