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Gompertz–Makeham life expectancies: Expressions and applications
Theoretical Population Biology, 2013In a population of individuals, whose mortality is governed by a Gompertz-Makeham hazard, we derive closed-form solutions to the life-expectancy integral, corresponding to the cases of homogeneous and gamma-heterogeneous populations, as well as in the presence/absence of the Makeham term.
Missov, Trifon, Lenart, Adam
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Hormesis, gompertz functions, and risk assessment
Drug Metabolism Reviews, 1988A historical survey of the literature indicates that benefits derived from low doses of toxic substances have been reported over many centuries. Hippocrates, Paracelsus, Arndt, Schulz, and Hahnemann (founder of homeopathy) have all reported that low doses of toxic substances may be "stimulatory" or otherwise beneficial.
H, Boxenbaum +2 more
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The extension of Gompertz law's validity
Mechanisms of Ageing and Development, 1997The interval 35-85 years is mostly considered as the range of Gomperz law's validity. Looking at the spectrum of causes of death for the interval 10-30 years we find that its main share is caused by various accidents independent of age. These accidents result in the increase and following plateau of the total mortality curve over the age of 15 years ...
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A Cell Kinetics Justification for Gompertz’ Equation
SIAM Journal on Applied Mathematics, 1986On the basis of the maturity-time model of \textit{S. I. Rubinow} [Maturity- time representation for cell populations. Biophys. J. 8, 1055-1073 (1968)] which describes the cell densities of a growing cell population for the first few generation times in a good agreement to measurements, in this paper cell kinetic models for the growth of cell ...
Frenzen, C. L., Murray, J. D.
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A multivariate Gompertz-type distribution
Journal of Applied Statistics, 2001The Gompertz distribution has many applications, particularly in medical and actuarial studies. However, there has been little recent work on the Gompertz in comparison with its early investigation. The problem of finding and analysing a bivariate (or multivariate) Gompertz distribution is of interest and the focus of this paper.
Samia A. Adham, Stephen G. Walker
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Parameter Estimation of the Gompertz Population
Biometrical Journal, 1997AbstractThe Gompertz distribution has been used to model human mortality and fit actuarial tables. In the recent years, this distribution has been studied by some authors. The MLE estimates for the parameters of the Gompertz distribution were disucssed by GARG, RAO and REDMOND (1970). The purpose of this paper is to develop an exact confidence interval
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Probabilistic Gompertz model of irreversible growth
Bulletin of Mathematical Biology, 2005Characterizing organism growth within populations requires the application of well-studied individual size-at-age models, such as the deterministic Gompertz model, to populations of individuals whose characteristics, corresponding to model parameters, may be highly variable. A natural approach is to assign probability distributions to one or more model
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How could the Gompertz–Makeham law evolve
Journal of Theoretical Biology, 2009In line with the origin of life from the chemical world, biological mortality kinetics is suggested to originate from chemical decomposition kinetics described by the Arrhenius equation k = A*exp(-E/RT). Another chemical legacy of living bodies is that, by using the appropriate properties of their constituent molecules, they incorporate all their ...
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Chebyshev approximation by Gompertz function
Matematychni Metody Ta Fizyko-Mekhanichni Polya, 2022P. S. Malachivskyy +2 more
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