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Figure 2 | Theoretical Biology and Medical Modelling

Figure 2

From: Improving the estimation of the death rate of infected cells from time course data during the acute phase of virus infections: application to acute HIV-1 infection in a humanized mouse model

Figure 2

Fitting of artificial (simulated) data by the novel models. Artificial data were generated with the “reduced standard” viral infection model of Eqs. (1–3). The novel RQS model (Eqs. (1) and (4)), the novel PWT model (Eqs. (5–8)), and the previous PWR model were fitted to a total of 5 + 5 = 10 data points generated from the numerical solution of the reduced standard model at the days. Noise was added by perturbing the predicted log transformed value by a normally distributed error (with standard deviation σ = 0.2). The blue and red symbols denote one representative simulated dataset, the dotted line the best fit of the RQS model, the dashed line that of the PWT model, and the black solid lines show the ascending and descending slopes obtained with the PWR model. The true parameters were: β = 10–8, p = 4000, δ = 0.7, c = 23 and the initial values were T(0) = 1000000, I(0) = 0, and V(0) = 1000, corresponding an R0 = 2.48 and 90% target cell depletion (i.e., f = 0.1).

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