Fig. 1

Different Modeling of T-cell Dynamics. a Simple exponential model of total CD4+ T-cells. T: total T-cell measurement, int: initial CD4 + T-cell measurement, asy: asymptotic or long-term CD4+ T-cell measurement on treatment, c: cell elimination rate constant, ln(2)/c: time to achieve half asymptotic CD4+ T-cell measurement. b Joint viral and T-cell dynamic model in HIV infection. TUI: uninfected T-cells, T*: infected Tcells, V: infectious HIV virons, λ: production rate of uninfected T-cells, d: death rate constant of uninfected T-cells, k: viral infection rate constant, δ: death rate constant of infected T-cells, ρ: new viron production rate constant, cl: viron clearance rate constant. c and d Mechanistic models of T-cell homeostasis. R: resting T-cells, A: activated T-cells, a: activation rate constant, r: rate constant of reversion to resting state, π: resting cells proliferation rate constant, d: death rate constant, p: proliferation rate constant, N: naïve T-cells, M: memory T-cells, σ: naïve T-cell production rate