Disease Dynamics

By: Alexander Asachenkov, Guri Marchuk, Ronald Mohler

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Hardcover | 23 December 1993

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Hardcover
344 Pages

Dimensions(cm)
24.77 x 16.51 x 2.54

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This text discusses mathematical modelling, analysis and control of the immune system and disease dynamics. The purpose of the book is the practical application of mathematics to immunology and medicine in order to establish a basis for more effective treatment, to provide a tutorial systematic description of how the immune system controls diseases and to present several significant examples such as malignant tumour dynamics and control, and viral hepatitis. The book is multidisciplinary in content, with the intended readers including biomathematicians, biologists and physicists. It combines immunological principles, mathematical models, computer simulations and methods of analysis.

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You Can Find This Book In

Non-Fiction Medicine Clinical & Internal Medicine Diseases & Disorders Immunology Oncology Other Branches of Medicine Pathology Mathematics Applied Mathematics Mathematical Modelling Science

Physics Applied Physics Medical Physics

Preface
Acknowledgments
Introduction
Models	p. 1
A Basic Overview of Immunology	p. 5
Model of Infectious Disease	p. 15
A Non-linear Synthesis of the Immune System	p. 35
A Model of Anti-viral Immune Response	p. 49
Compartmental Models	p. 67
Appendix A: Modeling Delay Using Ordinary Differential Equations	p. 83
Clinical Data Processing	p. 95
The Problem of Parameter Estimation	p. 101
Statistical Parameter Estimation	p. 119
Marchuk-Zuev Identification Problem	p. 141
An Experimental Influenza Investigation	p. 155
Parameter Estimation for a Given Organism	p. 165
Appendix B: Generalized Index Construction	p. 185
Mathematical Models in Cancer Research	p. 195
The Tumor Growth Models	p. 203
Tumor Growth Index	p. 217
Tumor Dynamics and Control	p. 229
Data Analysis in Cancer Research	p. 247
Further Development of Cancer Research	p. 271
Appendix C: Other Models in Cancer Research	p. 293
Table of Contents provided by Blackwell. All Rights Reserved.

Disease Dynamics

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Hardcover

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