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First passage time to detection in stochastic population dynamical models for HIV-1

✍ Scribed by H.C. Tuckwell; F.Y.M. Wan

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
235 KB
Volume
13
Category
Article
ISSN
0893-9659

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✦ Synopsis

The detection of HIVol levels in human hosts is cast as a first exit time problem for a multidimensional diffusion process. We consider a four-component model for early HIV-1 dynamics including uninfected CD4+ T-cells, latently infected cells, actively infected cells, and HIV-1 virions. An analytical framework is presented for the distribution of the time at which a given virion level is attained. A one-dimensional diffusion approximation for a branching process leads to an estimate for the distribution of the virion density and an expression for the mean detection time for any given detection threshold. (~) 2000 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

A Stochastic Model for Early HIV-1 Popul
A Stochastic Model for Early HIV-1 Population Dynamics
✍ Henry C. Tuckwell; Emmanuelle Le Corfec πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 309 KB

A simple stochastic mathematical model is developed and investigated for early human immunodeficiency virus type-1 (HIV-1) population dynamics. The model, which is a multi-dimensional diffusion process, includes activated uninfected CD4 + T cells, latently and actively infected CD4 + T cells and fre