Genetic model for longitudinal studies of aging, health, and longevity and its potential application to incomplete data

Journal of Theoretical Biology

Volumn 258, Issue 1, 2009, Pages 103-111

  Arbeev, Konstantin G ^a   Akushevich, Igor ^a   Kulminski, Alexander M ^a   Arbeeva, Liubov S ^a   Akushevich, Lucy ^a   Ukraintseva, Svetlana V ^a   Culminskaya, Irina V ^a   Yashin, Anatoli I ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Adaptive capacity; Age dependent physiological norm; Allostatic load; Stochastic process model; Stress resistance

Indexed keywords

AGING; DATA ACQUISITION; DATA SET; GENETIC ANALYSIS; GENETIC MARKER; GENOTYPE; HEALTH RISK; LONGEVITY; LONGITUDINAL GRADIENT; SIMULATION; STRESS RESISTANCE;

ACCURACY; ADAPTATION; AGING; ALLELE; ALLOSTASIS; ARTICLE; COMPARATIVE STUDY; GENETIC MARKER; GENETIC MODEL; GENETIC PARAMETERS; GENOTYPE; HAZARD ASSESSMENT; HEALTH; HUMAN; LONGEVITY; LONGITUDINAL STUDY; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; SIMULATION; STATISTICAL ANALYSIS; STOCHASTIC MODEL; STRESS;

AGING; ANIMALS; DATA INTERPRETATION, STATISTICAL; HEALTH STATUS; HUMANS; LONGEVITY; MODELS, GENETIC; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 63649098103     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.01.023     Document Type: Article

References (46)

1. Allison D.B., Faith M.S., Heo M., and Kotler D.P. Hypothesis concerning the U-shaped relation between body mass index and mortality. Am. J. Epidemiol. 146 (1997) 339-349
2. Boutitie F., Gueyffier F., Pocock S., Fagard R., and Boissel J.P. J-shaped relationship between blood pressure and mortality in hypertensive patients: new insights from a meta-analysis of individual-patient data. Ann. Intern. Med. 136 (2002) 438-448
3. Breslow N.E., and Cain K.C. Logistic regression for two-stage case-control data. Biometrika 75 (1988) 11-20
4. Breslow N.E., and Holubkov R. Weighted likelihood, pseudo-likelihood and maximum likelihood methods for logistic regression analysis of two-stage data. Stat. Med. 16 (1997) 103-116
5. Breslow N.E., and Holubkov R. Maximum likelihood estimation of logistic regression parameters under two-phase, outcome-dependent sampling. J. R. Stat. Soc. B 59 (1997) 447-461
6. Bureau A., Diallo M.S., Ordovas J.M., and Cupples L.A. Estimating interaction between genetic and environmental risk factors: efficiency of sampling designs within a cohort. Epidemiology 19 (2008) 83-93
7. Cain K.C., and Breslow N.E. Logistic regression analysis and efficient design for two-stage studies. Am. J. Epidemiol. 128 (1988) 1198-1206
8. Chatterjee N., and Chen Y.H. Maximum likelihood inference on a mixed conditionally and marginally specified regression model for genetic epidemiologic studies with two-phase sampling. J. R. Stat. Soc. B 69 (2007) 123-142
9. Dawber T.R., Meadors G.F., and Moore F.E. Epidemiological approaches to heart disease: the Framingham Study. Am. J. Public Health 41 (1951) 279-286
10. Goldberger A.L., Peng C.K., and Lipsitz L.A. What is physiologic complexity and how does it change with aging and disease?. Neurobiol. Aging 23 (2002) 23-26
11. Hall D.M., Xu L., Drake V.J., Oberley L.W., Oberley T.D., Moseley P.L., and Kregel K.C. Aging reduces adaptive capacity and stress protein expression in the liver after heat stress. J. Appl. Physiol. 89 (2000) 749-759
12. Karlamangla A.S., Singer B.H., and Seeman T.E. Reduction in allostatic load in older adults is associated with lower all-cause mortality risk: MacArthur studies of successful aging. Psychosom. Med. 68 (2006) 500-507
13. Kulminski A.M., Arbeev K.G., Kulminskaya I.V., Ukraintseva S.V., Land K., Akushevich I., and Yashin A.I. Body mass index and nine-year mortality in disabled and nondisabled older US Individuals. J. Am. Geriatr. Soc. 56 (2008) 105-110
14. Kuzuya M., Enoki H., Iwata M., Hasegawa J., and Hirakawa Y. J-shaped relationship between resting pulse rate and all-cause mortality in community-dwelling older people with disabilities. J. Am. Geriatr. Soc. 56 (2008) 367-368
15. Lewington S., Clarke R., Qizilbash N., Peto R., and Collins R. Age-specific relevance of usual blood pressure to vascular mortality: a meta-analysis of individual data for one million adults in 61 prospective studies. Lancet 360 (2002) 1903-1913
16. Lund J., Tedesco P., Duke K., Wang J., Kim S.K., and Johnson T.E. Transcriptional profile of aging in C-elegans. Curr. Biol. 12 (2002) 1566-1573
17. Manton, K.G., Yashin, A.I., 2000. Mechanisms of Aging and Mortality: A Search for New Paradigms. Odense Monograph on Population Aging No. 7. Odense University Press, Odense, Denmark.
18. MathWorks Inc. Optimization Toolbox™ 4 User's Guide (2008), The MathWorks, Inc., Natick, MA
19. Mazza A., Zamboni S., Rizzato E., Pessina A.C., Tikhonoff V., Schiavon L., and Casiglia E. Serum uric acid shows a J-shaped trend with coronary mortality in non-insulin-dependent diabetic elderly people. The CArdiovascular STudy in the ELderly (CASTEL). Acta Diabetol. 44 (2007) 99-105
20. McEwen B.S., and Wingfield J.C. The concept of allostasis in biology and biomedicine. Horm. Behav. 43 (2003) 2-15
21. Okumiya K., Matsubayashi K., Wada T., Fujisawa M., Osaki Y., Doi Y., Yasuda N., and Ozawa T. A U-shaped association between home systolic blood pressure and four-year mortality in community-dwelling older men. J. Am. Geriatr. Soc. 47 (1999) 1415-1421
22. Palatini P. Need for a revision of the normal limits of resting heart rate. Hypertension 33 (1999) 622-625
23. Protogerou A.D., Safar M.E., Iaria P., Safar H., Le Dudal K., Filipovsky J., Henry O., Ducimetiere P., and Blacher J. Diastolic blood pressure and mortality in the elderly with cardiovascular disease. Hypertension 50 (2007) 172-180
24. Scott A.J., and Wild C.J. Maximum likelihood for generalised case-control studies. J. Stat. Plann. Inference 96 (2001) 3-27
25. Scott A.J., Lee A.J., and Wild C.J. On the Breslow-Holubkov estimator. Lifetime Data Anal. 13 (2007) 545-563
26. Seeman T.E., McEwen B.S., Rowe J.W., and Singer B.H. Allostatic load as a marker of cumulative biological risk: MacArthur studies of successful aging. Proc. Natl. Acad. Sci. USA 98 (2001) 4770-4775
27. Tan Q.H., De Benedictis G., Ukraintseva S.V., Franceschi C., Vaupel J.W., and Yashin A.I. A centenarian-only approach for assessing gene-gene interaction in human longevity. Eur. J. Hum. Genet. 10 (2002) 119-124
28. Tan Q.H., Yashin A.I., Bladbjerg E.M., de Maat M.P.M., Andersen-Ranberg K., Jeune B., Christensen K., and Vaupel J.W. Variations of cardiovascular disease associated genes exhibit sex-dependent influence on human longevity. Exp. Gerontol. 36 (2001) 1303-1315
29. Troiano R.P., Frongillo E.A., Sobal J., and Levitsky D.A. The relationship between body weight and mortality: a quantitative analysis of combined information from existing studies. Int. J. Obesity 20 (1996) 63-75
30. Troncale J.A. The aging process: physiologic changes and pharmacologic implications. Postgrad. Med. 99 (1996) 111-114 120-122
31. Ukraintseva S.V., and Yashin A.I. Individual aging and cancer risk: how are they related?. Demographic Res. 9 (2003) 163-196
32. Vaupel J.W., and Yashin A.I. Heterogeneity's ruses: some surprising effects of selection on population dynamics. Am. Stat. 39 (1985) 176-185
33. Westin S., and Heath I. Thresholds for normal blood pressure and serum cholesterol. Br. Med. J. 330 (2005) 1461-1462
34. Witteman J.C.M., Grobbee D.E., Valkenburg H.A., Vanhemert A.M., Stijnen T., Burger H., and Hofman A. J-shaped relation between change in diastolic blood-pressure and progression of aortic atherosclerosis. Lancet 343 (1994) 504-507
35. Woodbury M.A., and Manton K.G. Random-walk model of human mortality and aging. Theor. Popul. Biol. 11 (1977) 37-48
36. Yashin A.I. Dynamics in survival analysis: conditional Gaussian property vs. Cameron-Martin formula. In: Krylov N.V., et al. (Ed). Statistics and Control of Stochastic Processes (1985), Springer, New York 446-475
37. Yashin A.I., and Manton K.G. Effects of unobserved and partially observed covariate processes on system failure: a review of models and estimation strategies. Statistical Science 12 (1997) 20-34
38. Yashin A.I., Arbeev K.G., and Ukraintseva S.V. The accuracy of statistical estimates in genetic studies of aging can be significantly improved. Biogerontology 8 (2007) 243-255
39. Yashin A.I., Akushevich I.V., Arbeev K.G., Akushevich L., Ukraintseva S.V., and Kulminski A. Insights on aging and exceptional longevity from longitudinal data: novel findings from the Framingham Heart Study. Age 28 (2006) 363-374
40. Yashin A.I., Arbeev K.G., Akushevich I., Kulminski A., Akushevich L., and Ukraintseva S.V. Stochastic model for analysis of longitudinal data on aging and mortality. Math. Biosci. 208 (2007) 538-551
41. Yashin A.I., Arbeev K.G., Kulminski A., Akushevich I., Akushevich L., and Ukraintseva S.V. Cumulative index of elderly disorders and its dynamic contribution to mortality and longevity. Rejuvenation Res. 10 (2007) 75-86
42. Yashin A.I., Arbeev K.G., Kulminski A., Akushevich I., Akushevich L., and Ukraintseva S.V. Health decline, aging and mortality: how are they related?. Biogerontology 8 (2007) 291-302
43. Yashin A.I., Arbeev K.G., Kulminski A., Akushevich I., Akushevich L., and Ukraintseva S.V. What age trajectories of cumulative deficits and medical costs tell us about individual aging and mortality risk: findings from the NLTCS-Medicare data. Mech. Ageing Dev. 129 (2008) 191-200
44. Yashin A.I., Arbeev K.G., Akushevich I., Kulminski A., Akushevich L., and Ukraintseva S.V. Model of hidden heterogeneity in longitudinal data. Theor. Popul. Biol. 73 (2008) 1-10
45. Yashin A.I., De Benedictis G., Vaupel J.W., Tan Q., Andreev K.F., Iachine I.A., Bonafe M., DeLuca M., Valensin S., Carotenuto L., and Franceschi C. Genes, demography, and life span: the contribution of demographic data in genetic studies on aging and longevity. Am. J. Hum. Genet. 65 (1999) 1178-1193
46. Yashin A.I., De Benedictis G., Vaupel J.W., Tan Q., Andreev K.F., Iachine I.A., Bonafe M., Valensin S., De Luca M., Carotenuto L., and Franceschi C. Genes and longevity: lessons from studies of centenarians. J. Gerontol. A. Biol. Sci. Med. Sci. 55 (2000) B319-B328