You are previewing The Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness.
O'Reilly logo
The Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness

Book Description

A practical and clarifying approach to aging and aging-related diseases

Providing a thorough and extensive theoretical framework, The Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness addresses the surprisingly subtlenotion—with consequential biomedical and public health relevance—of what it means for acondition to be related to aging. In this pursuit, the book presents a new quantitative methodto examine the relative contributions of genetic and environmental factors to mortality anddisease incidence in a population.

With input from evolutionary biology, population genetics, demography, and epidemiology, this medically motivated book describes an index of aging-relatedness and also features:

  • Original results on the asymptotic behavior of the minimum of time-to-event random variables, which extends those of the classical statistical theory of extreme values

  • A comprehensive and satisfactory explanation based on biological principles of the Gompertz pattern of mortality in human populations

  • The development of an evolution-based model of causation relevant to mortality and aging-related diseases of complex etiology

  • An explanation of how and why the description of human mortality by the Gompertz distribution can be improved upon from first principles

  • The amply illustrated analysis of real-world data, including a program for conducting the analysis written in the freely available R statistical software

  • Technical appendices including mathematical material as well as an extensive and multidisciplinary bibliography on aging and aging-related diseases

  • The Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness is an excellent resource for practitioners and researchers with an interest in aging and aging-related diseases from the fields of medicine, biology, gerontology, biostatistics, epidemiology, demography, and public health.

    Table of Contents

    1. Cover
    2. Title page
    3. Copyright page
    4. Dedication One
    5. Dedication Two
    6. PREFACE AND ACKNOWLEDGMENT
    7. 1 INTRODUCTION
    8. 2 AN ACCOUNT OF GOMPERTZIAN MORTALITY THROUGH STATISTICAL AND EVOLUTIONARY ARGUMENTS
      1. 2.1 THE STATISTICAL THEORY OF EXTREME VALUES
      2. 2.2 THE EVOLUTIONARY THEORY OF AGING
    9. 3 THE ARGUMENT AGAINST GOMPERTZIAN MORTALITY
      1. 3.1 DEPARTURES FROM THE GOMPERTZ MODEL
      2. 3.2 AN EVOLUTION-BASED MODEL OF CAUSATION
    10. 4 THE INDEX OF AGING-RELATEDNESS
      1. 4.1 A SURVIVAL MIXTURE MODEL OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS
      2. 4.2 DEFINITION AND INTERPRETATION OF THE INDEX OF AGING-RELATEDNESS
      3. 4.3 THE SURVIVAL MIXTURE MODEL AND COMPETING RISKS
      4. 4.4 ESTIMATION OF THE MODEL PARAMETERS
      5. 4.5 ILLUSTRATIVE APPLICATION: THE ISRAELI ISCHEMIC HEART DISEASE STUDY
      6. 4.6 PRECISION OF ESTIMATION
    11. 5 DISCUSSION: IMPLICATIONS
      1. 5.1 THE MEANING OF THE GOMPERTZ PARAMETER
      2. 5.2 AGE AS A RISK FACTOR FOR DISEASE
      3. 5.3 ARE AGING-RELATED DISEASES AN INTEGRAL PART OF AGING?
      4. 5.4 BIOLOGICAL VERSUS CHRONOLOGICAL AGING
      5. 5.5 THE PUBLIC HEALTH NOTION OF COMPRESSION OF MORBIDITY
      6. 5.6 A PICTURE OF AGING FOR THE TWENTY-FIRST CENTURY
    12. APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITH SOME EXTENSIONS
    13. APPENDIX B: DERIVATION OF HAMILTON’S EQUATION FOR THE FORCE OF NATURAL SELECTION ON MORTALITY
    14. APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS
    15. APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OF THE MIXTURE LOG-LIKELIHOOD FUNCTION
    16. APPENDIX E: EXPECTATION–CONDITIONAL MAXIMIZATION (ECM) ALGORITHM
    17. APPENDIX F: R PROGRAM
    18. REFERENCES
    19. AUTHOR INDEX
    20. SUBJECT INDEX
    21. Eula