Mathematical Modelling of Immune Response in Infectious Diseases
By: by Guri I. Marchuk
Series: Mathematics and Its Applications -- 395; Mathematics and Its Applications -- 395
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 350
ISBN-13: 9789048148431; 9789401587983
Subjects: Mathematics; Immunology; Computer science; Emerging infectious diseases; Systems theory
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.
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