You are here: Home / Exposures / Rong, Perelson, 2009 / Modeling latently infected cell activation: viral and latent reservoir persistence, and viral blips in HIV-infected patients on potent therapy (Extended Model)

Model Mathematics

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Component: environment

Component: uninfected

\frac{d}{d time} (T) = lambda - (d_T T) - ((1 - efficacy) k V T)

Component: latently_infected

\frac{d}{d time} (L_0) = (eta (1 - efficacy) k V T - (d_0 L_0) - (f a L_0)) + (1 - f) rho L_a

Component: activated

\frac{d}{d time} (L_a) = f (a L_0 + p L_a) - ((1 - f) (a + rho) L_a) - (a_L L_a) f = \{\begin{matrix} 0 if T_off < time \\ 0 if time < T_on \\ 1 otherwise \end{matrix}

Component: productively_infected

\frac{d}{d time} (T_star) = ((1 - eta) (1 - efficacy) k V T - (1 delta T_star T_star)) + a_L L_a

Component: viral_load

\frac{d}{d time} (V) = p_v T_star - (c V)

Component: drug_efficacy

Source: Derived from workspace Rong, Perelson 2009 at changeset 08aa70861ad7.

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