PMID: 3753089Jul 1, 1986Paper

A mathematical model of survival kinetics. I. Theoretical basis

Archives of Gerontology and Geriatrics
L Piantanelli

Abstract

A mathematical model of mortality and survival kinetics is proposed based upon the two main aspects of survival data, namely, the rate of vitality reduction with age and its statistical distribution. Certain mathematical assumptions are made on the time-course of both vitality and its distribution. Then, these two aspects are integrated in a single model which can be used to describe survivorship, cumulative mortality or dying. The model is capable of fitting empirical curves even at very advanced ages, where the widely used Gompertz law fails. Examples are provided, derived from populations having rather different lifespans such as rotifers, flies, rats and horses. The model maintains one of the most interesting characteristics of Gompertz law, namely, the possibility to estimate the 'design constant for longevity' relating maximum lifespan to one of the parameters of the model. It also has the potential characteristics enabling it to be used to judge the statistical significance of the difference between two empirical survival curves.

References

Sep 1, 1976·Mechanisms of Ageing and Development·J MiquelH Atlan
Jul 1, 1986·Archives of Gerontology and Geriatrics·L PiantanelliG Linari
Jan 1, 1974·Journal of Gerontology·K S Brown, W F Forbes
Jul 1, 1974·Journal of Gerontology·K S Brown, W F Forbes
Jan 1, 1970·Gerontologia·D Schlettwein-Gsell
Jan 1, 1984·Experimental Gerontology·M Sawada, H E Enesco
May 1, 1982·Archives of Gerontology and Geriatrics·A C Economos
Nov 20, 1942·The Journal of General Physiology·H S Simms

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Citations

Jan 1, 1990·Mechanisms of Ageing and Development·P J Neafsey
Jul 1, 1986·Archives of Gerontology and Geriatrics·L PiantanelliG Linari
Apr 9, 2001·Mechanisms of Ageing and Development·L PiantanelliV N Anisimov
Jul 27, 2001·Mechanisms of Ageing and Development·L PiantanelliA Zaia
Dec 4, 2009·Rejuvenation Research·Andrea BassoEugenio Mocchegiani
Jan 1, 1991·Annals of the New York Academy of Sciences·C Pieri
Dec 26, 1992·Annals of the New York Academy of Sciences·L PiantanelliA Basso
May 31, 1994·Annals of the New York Academy of Sciences·L PiantanelliG Rossolini
Jan 4, 2008·The American Naturalist·James J AndersonTing Li
Sep 22, 2010·Neurobiology of Aging·Norbert SchuffUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Jun 30, 1994·Annals of the New York Academy of Sciences·L PiantanelliA Antognini
Jan 1, 1988·Drug Metabolism Reviews·H BoxenbaumD J Fournier
Dec 6, 1996·The Journal of Biological Chemistry·C Ullsperger, N R Cozzarelli

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