Results 121 to 130 of about 9,698 (163)

Gompertz curves, allometry and embryogenesis

The Bulletin of Mathematical Biophysics, 1970
A number of new properties of the Gompertz curve are derived. In particular, the curve is shown to be of particular importance in the theory of biological similitude, because of a direct relation to the allometric law. A discussion is included indicating some of the practical limitations of the theory.
openaire   +2 more sources

Gompertz in Context: The Gompertz and Related Distributions

2001
A model often used in mortality analysis and forecasting is the Gompertz model. The model is attractive because the mathematical specification is consistent with theories of ageing. Other models that are used less often share some of the useful features of the Gompertz model. Furthermore, the Gompertz can be approached as a member of families of models
openaire   +3 more sources

Comparison of Entropy Measures for Gompertz and Truncated Gompertz Distribution

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022
Muhammad Ahsan ul Haq, Muhammad Aslam
openaire   +1 more source

Gompertz Pharmacokinetic Model for Drug Disposition

Pharmaceutical Research, 2002
Disposition of drugs among compartments of the body usually occurs at changing rates that are commonly modeled as sums of exponential terms with different rate constants. This paper describes an alternative. Gompertz kinetics, in which the rates can change systematically.Differential equations were developed and solved that fit typical examples taken ...
openaire   +2 more sources

Gompertz–Makeham life expectancies: Expressions and applications

Theoretical Population Biology, 2013
In 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
openaire   +5 more sources

Hormesis, gompertz functions, and risk assessment

Drug Metabolism Reviews, 1988
A 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, P J, Neafsey, D J, Fournier   +2 more
openaire   +2 more sources

The extension of Gompertz law's validity

Mechanisms of Ageing and Development, 1997
The 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 ...
openaire   +2 more sources

A Cell Kinetics Justification for Gompertz’ Equation

SIAM Journal on Applied Mathematics, 1986
On 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.
openaire   +2 more sources

A multivariate Gompertz-type distribution

Journal of Applied Statistics, 2001
The 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
openaire   +1 more source

Parameter Estimation of the Gompertz Population

Biometrical Journal, 1997
AbstractThe 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
openaire   +1 more source