Optimal Control Strategies for Tumor Cells with Immune Response

Abstract

The recurrence of the cancer growth can be prevented by the anti- tumor activity which is found to be very crucial in developing the treatment of the cancerous cells. In the present work, we include an immune response to derive the optimal control strategies. The focus is on assessing immune cell effects on tumor progression.  Applying optimal control theory, we produce continuous controls to a range of objectives and parameter choices. Applying Pontryagin’s Maximum Principle we provide a practical approach and look at factors that have a reflective influence on numerical convergence. Numerical simulations have been carried out with hypothetical values to show stability of the system