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PMID: 17300818 Published · ppublish English Journal Article Research Support, N.I.H., Extramural

Stochastic model for analysis of longitudinal data on aging and mortality.

Mathematical biosciences ·Vol. 208 ·No. 2 ·2007-08-00 ·Pages 538-51

Yashin AI, Arbeev KG, Akushevich I, Kulminski A, Akushevich L, Ukraintseva SV

Abstract

Aging-related changes in a human organism follow dynamic regularities, which contribute to the observed age patterns of incidence and mortality curves. An organism's 'optimal' (normal) physiological state changes with age, affecting the values of risks of disease and death. The resistance to stresses, as well as adaptive capacity, declines with age. An exposure to improper environment results in persisting deviation of individuals' physiological (and biological) indices from their normal state (due to allostatic adaptation), which, in turn, increases chances of disease and death. Despite numerous studies investigating these effects, there is no conceptual framework, which would allow for putting all these findings together, and analyze longitudinal data taking all these dynamic connections into account. In this paper we suggest such a framework, using a new version of stochastic process model of aging and mortality. Using this model, we elaborated a statistical method for analyses of longitudinal data on aging, health and longevity and tested it using different simulated data sets. The results show that the model may characterize complicated interplay among different components of aging-related changes in humans and that the model parameters are identifiable from the data.

MeSH Terms
Aging Data Interpretation, Statistical Humans Mathematics Models, Statistical Mortality Stochastic Processes
Authors & Affiliations
6 authors, click to expand affiliations / ORCID
Yashin Anatoli I
Duke University, Center for Demographic Studies, 2117 Campus Drive, Box 90408, Durham, NC 27708-0408, USA. [email protected]
Arbeev Konstantin G
Akushevich Igor
Kulminski Aliaksandr
Akushevich Lucy
Ukraintseva Svetlana V
References (24)
24 references, click to expand
  1. A corrected pseudo-score approach for additive hazards model with longitudinal covariates measured with error.
    Lifetime Data Anal. 2006 Mar;12(1):97-110 PMID: 16583301
  2. Techniques for incorporating longitudinal measurements into analyses of survival data from clinical trials.
    Stat Methods Med Res. 2002 Jun;11(3):237-45 PMID: 12094757
  3. Mortality and aging in a heterogeneous population: a stochastic process model with observed and unobserved variables.
    Theor Popul Biol. 1985 Apr;27(2):154-75 PMID: 4023952
  4. Stress resistance declines with age: analysis of data from a survival experiment with Drosophila melanogaster.
    Biogerontology. 2004;5(1):17-30 PMID: 15138378
  5. Allostatic load as a marker of cumulative biological risk: MacArthur studies of successful aging.
    Proc Natl Acad Sci U S A. 2001 Apr 10;98(8):4770-5 PMID: 11287659
  6. Simultaneously modelling censored survival data and repeatedly measured covariates: a Gibbs sampling approach.
    Stat Med. 1996 Aug 15;15(15):1663-85 PMID: 8858789
  7. A random-walk model of human mortality and aging.
    Theor Popul Biol. 1977 Feb;11(1):37-48 PMID: 854860
  8. Random-effects models for longitudinal data.
    Biometrics. 1982 Dec;38(4):963-74 PMID: 7168798
  9. Patterns of age-specific means and genetic variances of mortality rates predicted by the mutation-accumulation theory of ageing.
    J Theor Biol. 2001 May 7;210(1):47-65 PMID: 11343430
  10. Rethinking the evolutionary theory of aging: transfers, not births, shape senescence in social species.
    Proc Natl Acad Sci U S A. 2003 Aug 5;100(16):9637-42 PMID: 12878733
  11. The reliability theory of aging and longevity.
    J Theor Biol. 2001 Dec 21;213(4):527-45 PMID: 11742523
  12. A joint model for survival and longitudinal data measured with error.
    Biometrics. 1997 Mar;53(1):330-9 PMID: 9147598
  13. J-shaped relation between change in diastolic blood pressure and progression of aortic atherosclerosis.
    Lancet. 1994 Feb 26;343(8896):504-7 PMID: 7906758
  14. Dependent competing risks: a stochastic process model.
    J Math Biol. 1986;24(2):119-40 PMID: 3746135
  15. An estimator for the proportional hazards model with multiple longitudinal covariates measured with error.
    Biostatistics. 2002 Dec;3(4):511-28 PMID: 12933595
  16. Joint modelling of longitudinal measurements and event time data.
    Biostatistics. 2000 Dec;1(4):465-80 PMID: 12933568
  17. A Bayesian semiparametric joint hierarchical model for longitudinal and survival data.
    Biometrics. 2003 Jun;59(2):221-8 PMID: 12926706
  18. The aging process. Physiologic changes and pharmacologic implications.
    Postgrad Med. 1996 May;99(5):111-4, 120-2 PMID: 8650079
  19. Joint modeling of longitudinal and survival data via a common frailty.
    Biometrics. 2004 Dec;60(4):892-9 PMID: 15606409
  20. Transcriptional profile of aging in C. elegans.
    Curr Biol. 2002 Sep 17;12(18):1566-73 PMID: 12372248
  21. Individual aging and mortality rate: how are they related?
    Soc Biol. 2002 Fall-Winter;49(3-4):206-17 PMID: 14652918
  22. The concept of allostasis in biology and biomedicine.
    Horm Behav. 2003 Jan;43(1):2-15 PMID: 12614627
  23. Epidemiological approaches to heart disease: the Framingham Study.
    Am J Public Health Nations Health. 1951 Mar;41(3):279-81 PMID: 14819398
  24. A flexible B-spline model for multiple longitudinal biomarkers and survival.
    Biometrics. 2005 Mar;61(1):64-73 PMID: 15737079
Article Info
Journal
Mathematical biosciences
Abbr.
Math Biosci
ISSN
0025-5564
Published
2007-08-00
Epub
2006-00-05
Pages
538-51
Language
English
Region
United States
NLM ID
0103146
PMCID
PMC2084381
Subset
IM
Grants
NIA NIH HHS · 5P01-AG-008761-16 · United States
NIA NIH HHS · 1R01 AG028259-01 · United States
NIA NIH HHS · R01 AG027019 · United States
NIA NIH HHS · P01 AG008761 · United States
NIA NIH HHS · 1R01-AG027019-01 · United States
NIA NIH HHS · R01 AG028259 · United States
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