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Model Mathematics

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Component: environment

Component: uninfected

\frac{d}{d time} (T) = s + p T - (gamma T^{2}) - ((k_3 beta + \frac{N k_1 k_2}{k_1 T + mu_V}) T T_1) beta = \frac{gamma}{k_3} (1 + \frac{k_2}{mu_b})

Component: latently_infected

\frac{d}{d time} (T_1) = \{\begin{matrix} T_1_t if time ≦ t_min \\ \frac{N k_1 k_2}{k_1 T + mu_V} T T_1 - (k_3 T_1) otherwise \end{matrix} T_1_t = \frac{k_1 T_0 V_0}{k_4 - k_3} (ⅇ^{(- k_3) time} - (ⅇ^{(- k_4) time}))

Component: actively_infected

T_2 = \frac{k_2 T_1}{mu_b}

Component: free_virus_particle

V = \frac{N k_2 T_1}{k_1 T + mu_V}

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

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