Turing patterns from dynamics of early HIV infection over a two-dimensional surface

Abstract

We have developed a mathematical model for in-host virus dynamics that includes spatial chemotaxis and diffusion across a two dimensional surface representing the vaginal or rectal epithelium at primary HIV infection. A linear stability analysis of the steady state solutions identified conditions for Turing instability pattern formation. We have solved the model equations numerically using parameter values obtained from previous experimental results for HIV infections. Simulations of the model for this surface show hot spots of infection. Understanding this localization is an important step in the ability to correctly model early HIV infection. These spatial variations also have implications for the development and effectiveness of microbicides against HIV.

22 pages, 12 figures

References in corpus (2)

• Formation of spatial patterns in epidemic model with constant removal rate of the infectives
• Formation of regular spatial patterns in ratio-dependent predator-prey model driven by spatial colored-noise

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