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.
Recommended Citation
Chacko, Matthew, "A Mathematical Model Describing the Dynamics of HIV Virions and CD4+T Cells in the Human Immune System" (2013). Honors Theses. 73.
https://dx.doi.org/10.32597/honors/73/
https://digitalcommons.andrews.edu/honors/73
Subject Area
HIV (Viruses)--Mathematical models., T cells, CD4 antigen, Mathematical models.
Creative Commons License
This work is licensed under a Creative Commons Attribution-No Derivative Works 4.0 International License.
DOI
https://dx.doi.org/10.32597/honors/73/