Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis

Abstract

As Psoriasis is an autoimmune disease, mainly Keratinocytes is one of the causal effects of this disease. It is known that half-saturation constant represents the concentration at which half the maximum intake rate is reached. In context of the disease Psoriasis, the effect of half-saturation guarantees that the activation rate of Keratinocyte cells is half-maximal of T-Cell density. This rate cannot exceed the rate of T-Cells by accumulation of half-saturation. Since our aim is to reduce excess Keratinocyte growth, the half-saturation constant has a significant effect on the disease Psoriasis. Suppression taking place on Dendritic Cells along with half-saturation effect plays an effective role in Psoriatic system. Keeping this view in mind, we have developed a mathematical model introducing the half-saturation constant through T-Cells. It has been infiltrated in the activation process of Keratinocytes in course of the Psoriatic plaques. Our focus is to observe the behavioral pattern in Psoriatic cell biology for including such an effect. We have furnished our analysis in two different pathways; one is through ODE system and another is through FODE system, which has been discussed later in this book. It has been observed how T-Cells extremely stimulate a portion of Keratinocyte cells per day through their activation with half-maximal of T-Cell density. This notion of half-saturation adds superior effects for reducing the excess production of Keratinocyte cell population.