Mathematical modeling and analysis of HIV dynamics during therapy

Yan Song, Fayetteville State University

Abstract

In this research, generalized mathematical models depicting HIV-1 pathophysiodynamics are constructed and analysed using dynamical system theory and the principles of linearized stability. The model variables comprise: uninfected CD4 + helper T lymphocytes; HIV-1 infected CD4+ helper T lymphocytes; HIV-1 virions in the blood plasma; CD8+ cytotoxic T lymphocytes; and anti-HIV-1/AIDS drug molecules. These models represent a generalization of previous models and contain many clinically plausible aspects of HIV-1 immunodynamics. Necessary and sufficient criteria are derived elucidating the therapeutic scenarios of viral persistence, latency and annihilation for all the three phases of pre-latency, latency, and post-latency. In particular, clinically plausible criteria are derived such that the therapeutically derived rest points are asymptotically stable.^

Subject Area

Applied Mathematics|Mathematics|Biology, Virology

Recommended Citation

Song, Yan, "Mathematical modeling and analysis of HIV dynamics during therapy" (2009). ETD Collection for Fayetteville State University. AAI1484763.
http://digitalcommons.uncfsu.edu/dissertations/AAI1484763

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