Control of Psoriatic System for Logistic T-Cell Proliferation

Abstract

In autoimmune disorder like Psoriasis, some of the T-Cells are to be effectively enhanced. This process is identified as spontaneous proliferation. When the activation is finished, T helper cells permit to self-proliferate. This is accomplished by releasing Interleukin 2 (IL-2), which acts on itself through an autocrine manner. Thus, stimulated T-Cells must be detached by apoptosis at the end of an immune reply in order to uphold cellular homeostasis. We have considered that the growth of T-Cells has occurred in logistic fashion as T-Cells cannot proliferate unboundedly, where T-Cells are generated through the expansion of accessible T-Cells from precursors. Our aim is to observe the performance of the immune system with the maximum proliferation of T-Cells. In this chapter, we have improved our mathematical model by considering the introduction of T-Cell proliferation of existing T-Cells in the growth term of T-Cell population, which is more practical from the biological feasibility.