A Model of HIV Immunology within an Individual Person

HIV immunology Simulation

(after McLean, et al., AIDS 1991)

{V′=πE−σVR′=b−μR−βRVE′=βRV−μEE\begin{cases}V' = {\color{red}{\pi}}E - {\color{red}{\sigma}}V\\ R' = {\color{red}{b}} - {\color{red}{\mu}}R - {\color{red}{\beta}}RV \\ E' = {\color{red}{\beta}}RV - {\color{red}{\mu_{E}}}E \end{cases}
⇝
{V′=100E−2VR′=0.272−0.00136R−0.00027RVE′=0.00027RV−0.33E\begin{cases}V' = \colorbox{pink}{{100}} E - \colorbox{pink}{{2}} V \\ R' = \colorbox{pink}{{0.272}} - \colorbox{pink}{{0.00136}} R - \colorbox{pink}{{0.00027}} RV \\ E' = \colorbox{pink}{{0.00027}} RV - \colorbox{pink}{{0.33}}E \end{cases}
initial conditions
V0(initial V population)V_0\text{(initial V population)}
R0(initial R population)R_0\text{(initial R population)}
E0(initial E population)E_0\text{(initial E population)}
parameters
π\pi
σ\sigma
bb
μ\mu
β\beta
μE\mu_{E}
simulation settings
TtotalT_{\text{total}}
ΔT\Delta T
0204060801000500100015002000
TrajectoryViruses(V)Uninfected Cells(R)Infected Cells(E)Viruses-Uninfected Cells-Infected Cells TrajectoryTimePopulationslines▼