Mathematical Models for Therapeutic Approaches to Control Psoriasis [electronic resource] /
Roy, Priti Kumar.author.
Datta, Abhirup.author.
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.
Chapter 1. Introduction -- Chapter 2. Basic MathematicalModel on Immunopathogenic Plaque of Psoriasis -- Chapter 3.Release of Cytokine and Its Control during the Formation of Psoariasis -- Chapter 4. Regulating Growth of Keratinocytes through Feedback Mechanism with Delay Effect in Psoriatic System -- Chapter 5. Control of Psoriatic System for logistic T-Cell Proliferation -- Chapter 6. Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis -- Chapter 7. Inhibition of Excessive Keratinocyte Growth in Psoriasis using Drugs Cyclosporin and FK506 -- Chapter 8. Fractional Approach of the Formation of Psoriasis during Release of Cytokines -- Chapter 9. Fractional Approach for Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis -- Chapter 10. Fractional Approach for the Inhibition of Excessive Keratinocyte Growth in Psoriasis using Drugs Cyclosporin and FK506.
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.
Biomathematics.
Mathematical models.
Applied mathematics.
Engineering mathematics.
Health promotion.
Mathematical and Computational Biology.
Mathematical Modeling and Industrial Mathematics.
Applications of Mathematics.
Health Promotion and Disease Prevention.