Êíèãà Ñèñòåìí ìåõ

 

Krutko V.N., Dontsov V.I. System mechanisms and models of aging. Moscow: LKI, 2008. 336 p. (Russian)

 

 

The monograph presents in a systematic form the most significant fundamental achievements in the field of mathematical modeling, theory and methods of describing and analyzing the processes of aging and mortality at the level of an individual organism and population, obtained by specialists of the Institute of System Analysis of the Russian Academy of Sciences and the National Gerontological Center.

Methods of statistical analysis of indicators of aging, mortality and life expectancy are presented in an accessible form adapted for practical use.

The book can be recommended both to scientists and specialists in the field of mathematical biology, gerontology, sociology, demography, preventive medicine, hygiene, sanitation, human ecology, as well as to teachers and students studying biomedical and social disciplines.

 

Table of contents

                                                                                             

INTRODUCTION: the subject, history and method of mathematical gerontology

 

Chapter I. SYSTEMIC METHODOLOGY AND AGING

          1.1. A systematic approach – a new methodology of modern natural science

          1.2. Features and significance of the essential modeling of aging

          1.3. The essential definition of the term aging

          1.4. The basic formula for describing aging

          1.5. Biochemical and thermodynamic models of aging    

          1.6. Multilevel development programs are the basis of life

          1.7. Survival of aging and ageless populations

 

Chapter II. THE MAIN MECHANISMS AND ESSENTIAL MODELS OF AGING

          2.1. General (essential) mechanisms of aging

          2.2. Modeling of the I general mechanism of aging

          2.3. Modeling II of the general mechanism of aging

          2.4. Modeling of the III general mechanism of aging

          2.5. Modeling of the IV general mechanism of aging

          2.6. The interrelationships of the four main mechanisms of aging

 

CHAPTER III. STRUCTURAL MODELS OF REGULATION AND RESTRICTION OF CELLULAR GROWTH AND THEIR ROLE IN THE AGING PROCESS

          3.1. Modeling of the initial levels of cell division regulation

          3.2. Formation of a cellular hypercycle

          3.3. Consequences of the evolution of the cellular hypercycle

          3.4. External regulation of the cellular hypercycle and its change with age

          3.5. Life expectancy of organisms

          3.6. The new immunoregulatory theory of aging

          3.7. Ways to restore age-depleted regulatory programs of cell growth and division

          3.8. Practical possibilities and approaches to radical life extension

 

CHAPTER IV. MATHEMATICAL MODELS AND METHODS OF ANALYSIS OF INDIVIDUAL AGING

          4.1. Mathematical models of biological age

          4.2. Dynamic models of aging of the body

               4.2.1. The model of the "organism-environment" system as the basis for modeling age-related functional changes

              4.2.2. The "shagreen skin" aging model

 

CHAPTER V. AGE-RELATED CHANGES IN THE SYSTEMIC PROPERTIES OF THE WHOLE ORGANISM

              5.1. Bio-age and the model of the temporal system organization of human functions

              5.2. Gender differences in the system organization of functions

              5.3. Age-related changes in the system organization of functions

              5.4. Factor analysis as a method of studying the structural organization of functions

 

CHAPTER VI.  STATISTICAL METHODS OF AGING ANALYSIS – POPULATION ANALYSIS

               6.1. Possibilities and tasks of statistical analysis of aging

               6.2. General and special mortality rates

                    6.2.1. Determination of mortality rates

                    6.2.2. Methods of data standardization

                    6.2.3. Survival tables

                    6.2.4. The use of survival tables for the analysis of experimental data on life expectancy

               6.3. Life expectancy distribution and its statistical estimates

                    6.3.1. Functions characterizing the distribution of life expectancy

                    6.3.2. Statistical estimates of distributions and their use as characteristics of life expectancy

                    6.3.3. Types of distributions most often used in the analysis of life expectancy

               6.4. Gompertz and Gompertz-Makem models

                     6.4.1. Derivation of Gompertz and Gompertz-Makem formulas

                     6.4.2. The nature of differences in life expectancy

                     6.4.3. Historical dynamics of mortality

                     6.4.4. Regional and gender differences in aging

                     6.4.5. Using the Gompertz model in experimental studies

               6.5. Statistical evaluation of the survival function and related functions

                    6.5.1. The case of small samples

                    6.5.2. The case of survival tables

              6.6. A systematic analysis of trends and causes of demographic catastrophe in Russia at the end of the XX century.

 

CHAPTER VII. COMPUTER SYSTEMS IN THE DIAGNOSIS AND PREVENTION OF AGING

              7.1. Aging of the population as a global problem of our time.

              7.2. Basic computer systems for practitioners

                   7.2.1. Computer system "Nutrition for health and longevity"

7.2.2. Computer system "Mental performance assessment system"

                   7.2.3. Computer system "Diagnostics and prevention of aging"

                   7.2.4. Electronic textbook "Gerontology and geroprophylaxis" ("age")

                   7.2.5. Computer system "Modeling of aging processes"

                   7.2.6. The program for the assessment and correction of physical performance "Physical health"

                   7.2.7. Biorhythm diagnostics program

                   7.2.8. Computer program "Medicinal herbs"

                   7.2.9. Computer program "Stress plus"

7.3. Virtual devices (VP) – a set of educational and research programs

              7.4. A set of popular programs

 

literature