PMID: 9193896May 1, 1997Paper

Intersections of mortality-rate and survival functions: model-independent considerations

Experimental Gerontology
H R Hirsch

Abstract

In work reported previously (Hirsch, 1995), it was shown that families of straight lines intersect at a single point if and only if the slopes of the lines are linearly related to their intercepts. This slope-intercept relation was applied to several mathematical mortality models including the Gompertz-Makeham and the Weibull. In all cases, survival functions intersected at greater ages than the corresponding mortality-rate functions. It was further demonstrated that a common point of intersection can exist for members of a family of survival functions or for members of the corresponding family of mortality-rate functions but not for both. Here the same results are obtained with respect to intersections of general model-independent survival and mortality-rate functions. The generality of the results strengthens the conclusion reached earlier that these intersections imply only the existence of a valid slope-intercept relation and have little other significance with regard to the biology of aging.

References

Sep 1, 1992·Mechanisms of Ageing and Development·J E Riggs, R J Millecchia
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Jul 1, 1960·Science·B L STREHLER, A S MILDVAN

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Citations

Jun 3, 2004·Neurobiology of Aging·Jacob RaberJ Wesson Ashford

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