Mathematical Models of the Cell and Cell Associated Objects

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

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