Mathematical Models for Therapeutic Approaches to Control Psoriasis 1st edition by Priti Kumar Roy,Abhirup Datta 9789811390197 9811390193

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ISBN 10:9811390193
ISBN 13:9789811390197
Author:Priti Kumar Roy,Abhirup Datta 

This book discusses several mathematical models highlighting the disease dynamics of psoriasis and its control. It explains the control of keratinocyte concentration through a negative feedback mechanism and the effect of including a realistic time delay in that system. The effect of cytokine release is described in a mathematical model of psoriasis and further elucidated in two different mathematical pathways: the ordinary differential equation model system, and the fractional-order differential equation model system. The book also identifies the role of CD8+ T-cells in psoriasis by investigating the interaction between dendritic cells and CD8+ T-cells. Presenting an approach to control the fractional-order system to prevent excess production of keratinocyte cell population, the book is intended for researchers and scientists in the field of applied mathematics, health informatics, applied statistics and qualitative public health, as well as bio-mathematicians interested in the mathematical modeling of autoimmune diseases like psoriasis.

Mathematical Models for Therapeutic Approaches to Control Psoriasis 1st  Table of contents:

1. Introduction

Part I. Dynamics of Psoriatic Pathogenesis and Its Possible Control under Integer-Order Framework

2. Basic Mathematical Model on Immunopathogenic Plaque of Psoriasis

3. Release of Cytokine and Its Control During the Formation of Psoariasis

4. Regulating Growth of Keratinocytes through Feedback Mechanism with Delay Effect in Psoriatic System

5. Control of Psoriatic System for Logistic T-Cell Proliferation

6. Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis

7. Inhibition of Excessive Keratinocyte Growth in Psoriasis using Drugs Cyclosporin and FK506

Part II. Methods and Applications of Fractional Calculus in the Psoriatic Pathogenesis

8. Fractional Approach of the Formation of Psoriasis during Release of Cytokines

9. Fractional Approach for Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis

10. Fractional Approach for the Inhibition of Excessive Keratinocyte Growth in Psoriasis usin

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