Numerical Methods for a Combination Chemotherapy/Immunotherapy Model
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
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.