Modeling the Latent Reservoir in the Dynamics of HIV Infection with CTL Memory
Session Title
STEM and Biomedical Research
College
College of Arts and Sciences
Department
Mathematics
Faculty Mentor
Zachary Abernathy, Ph.D., and Kristen Abernathy, Ph.D.
Abstract
In this project, we model the dynamics of HIV-1 latently infected cells under the effects of a natural immune response. Our purpose in this model is to study the long-term effects of CTL memory on viral load. We establish the existence of equilibria and the global asymptotic stability of the disease-free equilibrium based on the rate that cells are latently versus actively infected. We then perform numerical simulations to illustrate the stability behavior of immune-free and internal equilibria. Furthermore, we demonstrate that anti-retroviral therapy can stimulate a memory response and reduce the viral load in the case when all equilibra exist.
Previously Presented/Performed?
Summer Undergraduate Research Experience (SURE) Symposium and Poster Session, Winthrop University, June and October 2019; UNCG Regional Mathematics and Statistics Conference, Greensboro, North Carolina, November 2019
Grant Support?
Supported by an SC INBRE grant from the National Institute for General Medical Sciences (NIH-NIGMS)
Start Date
24-4-2020 12:00 AM
Modeling the Latent Reservoir in the Dynamics of HIV Infection with CTL Memory
In this project, we model the dynamics of HIV-1 latently infected cells under the effects of a natural immune response. Our purpose in this model is to study the long-term effects of CTL memory on viral load. We establish the existence of equilibria and the global asymptotic stability of the disease-free equilibrium based on the rate that cells are latently versus actively infected. We then perform numerical simulations to illustrate the stability behavior of immune-free and internal equilibria. Furthermore, we demonstrate that anti-retroviral therapy can stimulate a memory response and reduce the viral load in the case when all equilibra exist.
