Global Dynamics of the HIV Latent Reservoir with Latency Reversing Agents and Immune Response
Session Title
STEM and Biomedical Research
College
College of Arts and Sciences
Department
Mathematics
Faculty Mentor
Kristen Abernathy, Ph.D., and Zachary Abernathy, Ph.D.
Abstract
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.
Recognized with an Award?
Second Place, UNCG Regional Mathematics and Statistics Conference, November 2019
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)
Start Date
24-4-2020 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.
