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Model Mathematics

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Component: environment

Component: uninfected

\frac{d}{d time} (T) = (s_V - (mu_T T)) + r T (1 - (\frac{T + T_1 + T_2}{T_max})) - (k_1 V T) s_V = \frac{theta s}{theta + V}

Component: latently_infected

\frac{d}{d time} (T_1) = k_1 V T - (mu_T T_1) - (k_2 T_1)

Component: actively_infected

\frac{d}{d time} (T_2) = k_2 T_1 - (mu_b T_2)

Component: free_virus_particle

\frac{d}{d time} (V) = N mu_b T_2 - (k_1 V T) - (mu_V V)

Component: T_cell_population

T_tot = T + T_1 + T_2

Component: AZT

N = \{\begin{matrix} N_initial if time < tau \\ N_AZT if time \geq tau \end{matrix}

Source: Derived from workspace Perelson 1993 at changeset 0f0e62e81e5a.

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