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Related papers: General functions for human survival and mortality

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The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in various contexts. Here we propose a generative model to capture the dynamics of survival analysis,…

Physics and Society · Physics 2015-09-30 Trevor Fenner , Mark Levene , George Loizou

The Lee Carter modelling framework is widely used because of its simplicity and robustness despite its inability to model specific cohort effects. A large number of extensions have been proposed that model cohort effects but there is no…

Populations and Evolution · Quantitative Biology 2010-03-10 Edouard Debonneuil

It is now increasingly realized that the underlying mechanism which governs aging (ageing) is a complex interplay of genetic regulation and damage-accumulation. "Aging as a result of accumulation of 'faults' on cellular and molecular…

Tissues and Organs · Quantitative Biology 2011-03-31 Jicun Wang , Thomas Michelitsch , Arne Wunderlin , Ravi Mahadeva

A new stochastic method for describing mortality is proposed and explored. It is based on differences of observed times series of the transform $\log(-\log x)$ of survival probabilities which seem to follow simple patterns over the years.…

Applications · Statistics 2015-02-26 Meitner Cadena

The Weibull distribution is a very applicable model for the lifetime data. For inference about two Weibull distributions using records, the shape parameters of the distributions are usually considered equal. However, there is not an…

Methodology · Statistics 2014-08-12 Hojatollah Zakerzadeh , Ali Akbar Jafari

The chronological age used in demography describes the linear evolution of the life of a living being. The chronological age cannot give precise information about the exact developmental stage or aging processes an organism has reached. On…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal

Structured populations are ubiquitous across the biological sciences. Mathematical models of these populations allow us to understand how individual physiological traits drive the overall dynamics in aggregate. For example, linear age- or…

Analysis of PDEs · Mathematics 2022-04-25 Sabina L. Altus , Jeffrey C. Cameron , David M. Bortz

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the…

adap-org · Physics 2007-05-23 W. Hwang , P. L. Krapivsky , S. Redner

The aim of this article is to determine a new six-parameter Beta Weibull distribution and its various associated functions, namely the cumulative distribution, survival, probability density and hazard functions. Next, we determine the…

Statistics Theory · Mathematics 2026-04-07 Didier Alain Njamen Njomen , Fidel Djongreba Ndikwa

In the past six decades, lifespan inequality has varied greatly within and among countries even while life expectancy has continued to increase. How and why does mortality change generate this diversity? We derive a precise link between…

Populations and Evolution · Quantitative Biology 2013-11-22 Duncan O. S. Gillespie , Meredith V. Trotter , Shripad D. Tuljapurkar

Medical investigations focusing on patient survival often generate not only a failure time for each patient but also a sequence of measurements on patient health at annual or semi-annual check-ups while the patient remains alive. Such a…

Methodology · Statistics 2016-01-18 Peter McCullagh , Walter Dempsey

The ageing intensity function is a powerful analytical tool that provides valuable insights into the ageing process across diverse domains such as reliability engineering, actuarial science, and healthcare. Its applications continue to…

Statistics Theory · Mathematics 2024-09-17 Ashutosh Singh , Ishapathik Das , Asok Kumar Nanda , Sumen Sen

Theoretical analysis proves that human survivability is dominated by an unusual physical, rather than biological, mechanism, which yields an exact law. The law agrees with all experimental data, but, contrary to existing theories, it is the…

Biological Physics · Physics 2009-11-07 Mark Ya. Azbel'

A multiphasic constitutive model of the skin that implicitly accounts for the process of intrinsic (i.e.\ chronological) ageing via variation of the constitutive parameters is proposed. The structurally-motivated constitutive formulation…

Biological Physics · Physics 2018-01-18 D Pond , A McBride , L Davids , B D Reddy , G Limbert

Several biomarkers are hypothesized to indicate early stages of Alzheimer's disease, well before the cognitive symptoms manifest. Their precise relations to the disease progression, however, is poorly understood. This lack of understanding…

Applications · Statistics 2025-05-12 Mingyuan Li , Zheyu Wang , Akihiko Nishimura

The unprecedented extension of the human lifespan necessitates a parallel evolution in how we quantify the quality of aging and its socioeconomic impact. Traditional metrics focusing on Healthspan (years free of disease) overlook the…

Quantitative Methods · Quantitative Biology 2026-03-19 Alex Zhavoronkov , Dominika Wilczok

Ageing's sensitivity to natural selection has long been discussed because of its apparent negative effect on individual's fitness. Thanks to the recently described (Smurf) 2-phase model of ageing we were allowed to propose a fresh angle for…

Probability · Mathematics 2019-05-17 Sylvie Méléard , Michael Rera , Tristan Roget

A simple mathematical model of the aging process for long-lived organisms is considered. The key point in this model is the assumption that the body does not have internal clocks that count out the chronological time at scales of decades.…

Other Quantitative Biology · Quantitative Biology 2019-12-30 Yu. N. Morokov

Life is a complex biological phenomenon represented by numerous chemical, physical and biological processes performed by a biothermodynamic system/cell/organism. Both living organisms and inanimate objects are subject to aging, a biological…

Other Quantitative Biology · Quantitative Biology 2018-01-25 Marko Popovic

It is well established that physical aging of amorphous solids is governed by a marked change in dynamical properties as the material becomes older. Conversely, structural properties such as the radial distribution function exhibit only a…

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