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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.

Mathematics. --- Medicine. --- Mathematical and Computational Biology. --- Mathematical Modeling and Industrial Mathematics. --- Applications of Mathematics. --- Health Promotion and Disease Prevention. --- Health Workforce --- Math --- Science --- Biomathematics. --- Mathematical models. --- Applied mathematics. --- Engineering mathematics. --- Health promotion. --- Health promotion programs --- Health promotion services --- Promotion of health --- Wellness programs --- Preventive health services --- Health education --- Engineering --- Engineering analysis --- Mathematical analysis --- Models, Mathematical --- Simulation methods --- Biology --- Mathematics

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This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications. .

Mathematical analysis. --- Analysis (Mathematics). --- Mathematical models. --- Biomathematics. --- Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Mathematical and Computational Biology. --- Biology --- Mathematics --- Models, Mathematical --- Simulation methods --- 517.1 Mathematical analysis --- Mathematical analysis