Mathematical Models for Therapeutic Approaches to Control Psoriasis
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Beschreibung
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.
Discusses several mathematical models highlighting the disease dynamics of psoriasis and its control Approaches psoriasis from a cell-biological perspective Creates a bridge between mathematics and biology, focusing on cell-biological features in humans Analyzes the impact of the mathematical model formulation to describe a biological rather than a cell-biological (human) phenomenon Sheds new light on how mathematics can help better control the disease
Autor*in
Priti Kumar Roy
Themen in »Mathematical Models for Therapeutic Approaches to Control Psoriasis«
Comparative Analysis Psoriatic Cell Dynamics Time Delay Operation Immunopathogenic System Cell Counting Mechanism Psoriatic Cell-Cytokine Network