Event Title

Global Dynamics of the HIV Latent Reservoir with Latency Reversing Agents and Immune Response

Session Title

STEM and Biomedical Research

Document Type

Oral Presentation

Faculty Mentor

Kristen Abernathy, Ph.D., and Zachary Abernathy, Ph.D.

College

College of Arts and Sciences

Department

Department of Mathematics

Description

In this project, we model the dynamics of HIV-1 latently infected cells under the effects of latency reversing agents (LRAs) to promote a natural immune response. We establish the existence of immune-free and positive equilibria and then utilize Lyapunov functions to prove the global asymptotic stability of each. Numerical simulations are performed to support and illustrate these results. We conclude with a discussion on the model’s predicted threshold for LRA effectiveness to stimulate a natural immune response and decrease the size of the latent reservoir.

Previously Presented/Performed?

UNCG Regional Mathematics and Statistics Conference, Greensboro, North Carolina, November 2019; Mathematical Assocation of America (MAA) Southeastern Section Meeting, High Point University, March 2020

Grant Support?

Supported by an SC INBRE grant from the National Institute for General Medical Sciences (NIH-NIGMS)

Awards Won

Second Place, UNCG Regional Mathematics and Statistics Conference, November 2019

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Apr 24th, 12:00 AM

Global Dynamics of the HIV Latent Reservoir with Latency Reversing Agents and Immune Response

In this project, we model the dynamics of HIV-1 latently infected cells under the effects of latency reversing agents (LRAs) to promote a natural immune response. We establish the existence of immune-free and positive equilibria and then utilize Lyapunov functions to prove the global asymptotic stability of each. Numerical simulations are performed to support and illustrate these results. We conclude with a discussion on the model’s predicted threshold for LRA effectiveness to stimulate a natural immune response and decrease the size of the latent reservoir.