Mathematical Modelling of Immune Response in Infectious Diseases: 395 (Mathematics and Its Applications) - Tapa blanda

Marchuk, Guri I. I.

 
9789048148431: Mathematical Modelling of Immune Response in Infectious Diseases: 395 (Mathematics and Its Applications)
Tapa blanda
ISBN 10: 904814843X ISBN 13: 9789048148431
Editorial: Springer, 2010

Sinopsis

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism’s defence against antigen invasions. The results presented in this monograph are based on the construc­ tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat­ ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con­ tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci­ ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.

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Reseña del editor

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions. The results presented in this monograph are based on the construc­ tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat­ ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con­ tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci­ ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.

Reseña del editor

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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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
904814843X
ISBN 13 
9789048148431
Encuadernación
Tapa blanda
Número de páginas
364
Contacto del fabricante
ProductSafety@springernature.com
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Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9780792345282: Mathematical Modelling of Immune Response in Infectious Diseases: 395 (Mathematics and Its Applications, 395)

Edición Destacada

ISBN 10:  0792345282 ISBN 13:  9780792345282
Editorial: Springer, 1997
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