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Model Mathematics

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Component: environment

Component: T

T = \frac{c delta}{k p}

Component: I

\frac{d}{d time} (I) = k_T E4 - (delta I) I_0 = \frac{c}{p} VI_0

Component: VI

\frac{d}{d time} (VI) = (1 - h) p I - (c VI)

Component: VNI

\frac{d}{d time} (VNI) = h p I - (c VNI)

Component: virus_total

V = VI + VNI

Component: E1

\frac{d}{d time} (E1) = \frac{VI - E1}{b_}

Component: E2

\frac{d}{d time} (E2) = \frac{E1 - E2}{b_}

Component: E3

\frac{d}{d time} (E3) = \frac{E2 - E3}{b_}

Component: E4

\frac{d}{d time} (E4) = \frac{E3 - E4}{b_}

Component: Heavyside_function

h = \{\begin{matrix} 0 if time < tau_p \\ 1 otherwise \end{matrix}

Component: kinetic_parameters

b_= \frac{b}{1 + m b} k_= \frac{k}{{(1 + m b)}^{n}}

Source: Derived from workspace Mittler, Sulzer, Neumann, Perelson, 1998 at changeset 41a3b72cac7f.

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Influence of delayed viral production on viral dynamics in HIV-1 infected patients