Immunotherapy as a Treatment for HPV and Cervical Cacner

College

College of Arts and Sciences

Department

Mathematics

Abstract

In this paper, we analyze a system of six ordinary differential equations to model dynamics of the human papilloma virus (HPV), cells infected with the virus, cells susceptible to the virus, precancerous cells, cancerous cells, and the immune system's response. The model considers the dynamics of these cell populations when the immune system is boosted through immunotherapy treatment. We find sufficient global stability conditions using the method of localization of compact invariant sets. Graphs of numerical simulations show the dynamics of the system when conditions are met and when conditions are not met.

Honors Thesis Committee

Kristen Abernathy, Ph.D.; Zachary Abernathy, Ph.D.; and Trent Kull, Ph.D.

Start Date

20-4-2018 3:45 PM

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Apr 20th, 3:45 PM

Immunotherapy as a Treatment for HPV and Cervical Cacner

West 219

In this paper, we analyze a system of six ordinary differential equations to model dynamics of the human papilloma virus (HPV), cells infected with the virus, cells susceptible to the virus, precancerous cells, cancerous cells, and the immune system's response. The model considers the dynamics of these cell populations when the immune system is boosted through immunotherapy treatment. We find sufficient global stability conditions using the method of localization of compact invariant sets. Graphs of numerical simulations show the dynamics of the system when conditions are met and when conditions are not met.