Title

Numerical Methods for a Combination Chemotherapy/Immunotherapy Model

Presenter Information

Jessica LugoFollow

Academic Level at Time of Presentation

Senior

Major

Mathematics

Minor

Engineering Science

List all Project Mentors & Advisor(s)

Dr. Craig Collins

Presentation Format

Oral Presentation

Abstract/Description

Mathematical models simulating the interactions between tumor cells, immune system cells, and chemotherapy drugs provide valuable information to medical researchers. The application of optimal control theory to these models offers insight into the development of effective treatment regimens by indicating the best dosage levels and delivery schedules. The focus of this project is to investigate a combined chemo- and immunotherapy model presented by de Pillis, et al. This model has been analyzed numerically using a standard fourth order Runge–Kutta method. The goal of this project is to compare the performance of alternative numerical methods.

Affiliations

OTHER Affiliation

Other Affiliations

McNair Scholar

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Numerical Methods for a Combination Chemotherapy/Immunotherapy Model

Mathematical models simulating the interactions between tumor cells, immune system cells, and chemotherapy drugs provide valuable information to medical researchers. The application of optimal control theory to these models offers insight into the development of effective treatment regimens by indicating the best dosage levels and delivery schedules. The focus of this project is to investigate a combined chemo- and immunotherapy model presented by de Pillis, et al. This model has been analyzed numerically using a standard fourth order Runge–Kutta method. The goal of this project is to compare the performance of alternative numerical methods.