perelson1

v1

∅ = Tstar

v2

Tstar = ∅

v3

V + Vin = ∅

v4

V + Vni = ∅

v5

∅ = V + Vni

Global parameters

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time.

  • Alan S Perelson
  • AU Neumann
  • M Markowitz
  • JM Leonard
  • DD Ho
Science 1996; 271 (5255): 1582-1586
Abstract
A new mathematical model was used to analyze a detailed set of human immunodeficiency virus-type 1 (HIV-1) viral load data collected from five infected individuals after the administration of a potent inhibitor of HIV-1 protease. Productively infected cells were estimated to have, on average, a life-span of 2.2 days (half-life t 1/2 = 1.6 days), and plasma virions were estimated to have a mean life-span of 0.3 days (t 1/2 = 0.24 days). The estimated average total HIV-1 production was 10.3 x 10(9) virions per day, which is substantially greater than previous minimum estimates. The results also suggest that the minimum duration of the HIV-1 life cycle in vivo is 1.2 days on average, and that the average HIV-1 generation time--defined as the time from release of a virion until it infects another cell and causes the release of a new generation of viral particles--is 2.6 days. These findings on viral dynamics provide not only a kinetic picture of HIV-1 pathogenesis, but also theoretical principles to guide the development of treatment strategies.
The model reproduces Figure 1A of the paper. Additionally it reproduces Figure 1B at the top. There seems to be an initial delay difference in Vni and Vin for Figure 1B. The SEDML for Figure 1B also includes the patient data obtained using GraphClick.