Date of Award

2013

Document Type

Honors Thesis

Department

Mathematics

First Advisor

Shandelle Henson

Abstract

Human Immunodeficiency Virus (HIV) is an intracellular parasite that attacks cells of the immune system called CD4+T cells. In ecology the Lotka-Volterra models, a classical set of differential equations, describe three interactions between species in ecosystems: predator/prey, mutualism, and competition. The human body is also an ecosystem with HIV and T cells exhibiting the three Lotka-Volterra interactions with each other. I pose a mathematical model that predicts T cell/HIV dynamics by incorporating the three Lotka-Volterra interactions and other salient biological phenomena that influence the dynamics, such as T cell senescence and the presence of viral reserviors.

Subject Area

HIV (Viruses)--Mathematical models., T cells, CD4 antigen, Mathematical models.

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