Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Other Applied Mathematics
Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, Jessica S. Lugo
Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, Jessica S. Lugo
Murray State Theses and Dissertations
Mathematical models are often created to analyze the complicated behavior of many physical systems. One such system is that of the interaction between cancer cells, the immune system, and various treatments such as chemotherapy, radiation, and immunotherapy. Using models that depict these relationships gives researchers insight on the dynamics of this complicated system and possibly ideas for improved treatment schedules.
The model presented here gives the relationship of cancer cells in development phases with immune cells and cycle-specific chemotherapy treatment. This model includes a constant delay term in the mitotic phase. Optimal control theory is used to minimize the cost …