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
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.
