Mathematical modeling and analysis of HIV dynamics during therapy
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.
Song, Yan, "Mathematical modeling and analysis of HIV dynamics during therapy" (2009). ETD Collection for Fayetteville State University. AAI1484763.