Mathematical Modelling of Immune Response in Infectious Diseases

By:

Guri I. Marchuk

Format:

Paperback / softback

Series:

Mathematics and its Applications

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Description

This is the first monograph to present a unified approach to using mathematical models in the study of qualitative and quantitative regularities of immune response dynamics in infectious diseases within individual organisms. These mathematical models are formulated as systems of delay- differential equations. Simple mathematical models of infectious diseases, antiviral immune response and antibacterial response were developed and applied to the study of hepatitis B, influenza A, infectious bacterial pneumonia, and mixed infections. Particular attention was paid to the development of efficient computational procedures for solving the initial value problem for stiff delay-differential equations and to the parameter identification problem. Adjoint equations and the perturbation theory were used for the sensitivity analysis. Audience: This book will be of interest to a wide range of mathematicians and specialists in immunology and infectious diseases. It can also be recommended as a textbook for postgraduate students, bridging the gap between mathematics, immunology and infectious diseases research.

Release date NZ

December 15th, 2010

Author

Guri I. Marchuk

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1997

Illustrations

X, 350 p.

Pages

350

Series

Mathematics and its Applications

Dimensions

155x235x19

ISBN-13

9789048148431

Product ID

11075688

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