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The effects of health histories on stochastic process models of aging and mortality.

Publication ,  Journal Article
Yashin, AI; Manton, KG; Woodbury, MA; Stallard, E
Published in: Journal of mathematical biology
January 1995

A model of human health history and aging, based on a multivariate stochastic process with both continuous diffusion and discrete jump components, is presented. Discrete changes generate non-Gaussian diffusion with time varying continuous state distributions. An approach to calculating transition rates in dynamically heterogeneous populations, which generalizes the conditional averaging of hazard rates done in "fixed frailty" population models, is presented to describe health processes with multiple jumps. Conditional semi-invariants are used to approximate the conditional p.d.f. of the unobserved health history components. This is useful in analyzing the age dependence of mortality and health changes at advanced age (e.g., 95+) where homeostatic controls weaken, and physiological dynamics and survival manifest nonlinear behavior.

Duke Scholars

Published In

Journal of mathematical biology

DOI

EISSN

1432-1416

ISSN

0303-6812

Publication Date

January 1995

Volume

34

Issue

1

Start / End Page

1 / 16

Related Subject Headings

  • Stochastic Processes
  • Population Dynamics
  • Normal Distribution
  • Mortality
  • Models, Theoretical
  • Medical History Taking
  • Mathematics
  • Humans
  • Health Status
  • Bioinformatics
 

Citation

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Yashin, A. I., Manton, K. G., Woodbury, M. A., & Stallard, E. (1995). The effects of health histories on stochastic process models of aging and mortality. Journal of Mathematical Biology, 34(1), 1–16. https://doi.org/10.1007/bf00180134
Yashin, A. I., K. G. Manton, M. A. Woodbury, and E. Stallard. “The effects of health histories on stochastic process models of aging and mortality.Journal of Mathematical Biology 34, no. 1 (January 1995): 1–16. https://doi.org/10.1007/bf00180134.
Yashin AI, Manton KG, Woodbury MA, Stallard E. The effects of health histories on stochastic process models of aging and mortality. Journal of mathematical biology. 1995 Jan;34(1):1–16.
Yashin, A. I., et al. “The effects of health histories on stochastic process models of aging and mortality.Journal of Mathematical Biology, vol. 34, no. 1, Jan. 1995, pp. 1–16. Epmc, doi:10.1007/bf00180134.
Yashin AI, Manton KG, Woodbury MA, Stallard E. The effects of health histories on stochastic process models of aging and mortality. Journal of mathematical biology. 1995 Jan;34(1):1–16.
Journal cover image

Published In

Journal of mathematical biology

DOI

EISSN

1432-1416

ISSN

0303-6812

Publication Date

January 1995

Volume

34

Issue

1

Start / End Page

1 / 16

Related Subject Headings

  • Stochastic Processes
  • Population Dynamics
  • Normal Distribution
  • Mortality
  • Models, Theoretical
  • Medical History Taking
  • Mathematics
  • Humans
  • Health Status
  • Bioinformatics