Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2014

Committee Chair or Co-Chairs

Ariel Cintron-Arias

Committee Members

Jeff Knisley, Robert Gardner

Abstract

An existing mathematical model of ordinary differential equations was studied to better understand the interactions between hepatitis C virus (HCV) and the immune system cells in the human body. Three possible qualitative scenarios were explored: dominant CTL response, dominant antibody response, and coexistence. Additionally, a sensitivity analysis was carried out to rank model parameters for each of these scenarios. Therapy was addressed as an optimal control problem. Numerical solutions of optimal controls were computed using a forward-backward sweep scheme for each scenario. Model parameters were estimated using ordinary least squares fitting from longitudinal data (serum HCV RNA measurements) given in reported literature.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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