Mathematical models of the cell and cell associated objects
Title:
Mathematical models of the cell and cell associated objects
Author:
Ivanov, Viktor Vladimirovich.
ISBN:
9780444527141
Personal Author:
Edition:
1st ed.
Publication Information:
Amsterdam, Netherlands ; Boston [Mass.] : Elsevier, c2006.
Physical Description:
xix, 333 p. : ill. ; 25 cm.
Series:
Mathematics in science and engineering, v. 206
Series Title:
Mathematics in science and engineering, 0076-5392 ; v. 206
Contents:
Preface -- List of abbreviations -- List of notations -- Introduction: Evolutionary Systems and Development Modeling -- Part 1: SURVEY OF MM OF CAO -- Chapter 1: General Methods of Inlet and Analysis of MM -- Chapter 2: MM of Enzyme Reactions -- Chapter 3: MM of Kinetic Cellular Theory -- Chapter 4: Some Other MM -- Part 2: MM OF DEVELOPMENT -- Chapter 5: Base MM -- Chapter 6: Examples of CAO and Their MM -- Chapter 7: MM of the Cell -- Chapter 8: MM of the Immune Network -- Chapter 9: MM of Some Other CAO -- Part 3: INTRODUCTION TO APPLICATIONS -- Chapter 10: AIDS -- Chapter 11: Cancers -- Chapter 12: On Life Longevity Problems -- Chapter 13: On MM of a Disease -- Appendix: MATHEMATICS OF DEVELOPMENT -- Chapter 14: Investigation of Equations -- Chapter 15: Investigation of Optimization Problems -- Chapter 16: Numerical Methods and Software Summary -- Bibliography -- Index -- About the Authors.
Abstract:
This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book. - Introduces and proves fundamental properties of evolutionary systems on optimal distribution of their various resources on their internal and external functions - Gives detailed analysis of applications to modeling AIDS, cancers, and life longevity - Introducing and grounding the respective numerical algorithms and software - Detailed analysis of hundreds of scientific works in the field of mathematical modeling of the cell and cell associated objects.
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