Track: Systems Dynamics

Abstract

Providing proper healthcare to the growing population in Bangladesh has become major concern because of the increasing threats of infectious diseases and their rate of mortality. It has been challenging for the healthcare providers to provide optimal treatment of emerging infectious diseases. In recent years, mathematical models have become important tools in analyzing and describing the changing dynamics of healthcare and biomedical systems. The processes in biology and medicine can be, in general, described by mathematical models where the nonlinear ordinary differential equations are the key ingredients. Optimal control technique fuels on such analysis in obtaining the optimal control strategies. This technique provides new results by applying the old theories. In this paper, we address some recent developments of modeling the nonlinear behavior of immunotherapeutic treatment of leukemia using Adoptive T cell. Optimal control technique can be of advantageous to obtain the better strategy as a special feature in some cases. Numerical treatment is performed to illustrate the results.

Keywords: Optimal control, Mathematical modeling, Healthcare systems, Numerical simulations