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Aging is a universal consequence of life, yet researchers have identified no universal theme. This manuscript considers aging from the perspective of entropy, wherein things fall apart. We first examine biological information change as a…

Populations and Evolution · Quantitative Biology 2026-04-13 Stephan Baehr , Hans Baehr

Are there limits to human longevity? We suggest a new demographic model to describe human demographic trajectories. Specifically, the model mathematically defines the limits of longevity. Through the demographic analysis of trends for…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

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

Author's early work on aging is developed to yield a relationship between life spans and the velocity of aging. The mathematical analysis shows that the mean extent of the advancement of aging throughout one's life is conserved, or…

Populations and Evolution · Quantitative Biology 2007-05-23 Kazumi Suematsu

We determine the impact of resource renewal on the lifetime of a forager that depletes its environment and starves if it wanders too long without eating. In the framework of the minimal starving random walk model with resource renewal,…

Populations and Evolution · Quantitative Biology 2016-03-23 M. Chupeau , O. Bénichou , S. Redner

In this paper, we advance the network theory of aging and mortality by developing a causal mathematical model for the mortality rate. First, we show that in large networks, where health deficits accumulate at nodes representing health…

Quantitative Methods · Quantitative Biology 2024-12-18 Valentin Flietner , Bernd Heidergott , Frank den Hollander , Ines Lindner , Azadeh Parvaneh , Holger Strulik

The stage of evolution is the population of reproducing individuals. The structure of the population is know to affect the dynamics and outcome of evolutionary processes, but analytical results for generic random structures have been…

Populations and Evolution · Quantitative Biology 2014-07-10 Ben Adlam , Martin A. Nowak

We present, solve and numerically simulate a simple model that describes the consequences of increased longevity on fertility rates, population growth and the distribution of wealth in developed societies. We look at the consequences of the…

General Finance · Quantitative Finance 2011-08-08 Aleksandar Bogojevic , Antun Balaz , Rasa Karapandza

Recent discoveries show steady improvements in life expectancy during modern decades. Does this support that humans continue to live longer in future? We recently put forward the maximum survival tendency, as found in survival curves of…

Populations and Evolution · Quantitative Biology 2009-08-28 Byung Mook Weon , Jung Ho Je

The Price equation shows the unity between the fundamental expressions of change in biology, in information and entropy descriptions of populations, and in aspects of thermodynamics. The Price equation partitions the change in the average…

Statistical Mechanics · Physics 2017-05-23 Steven A. Frank

Evolution is the theory that plants and animals today have come from kinds that have existed in the past. Scientists such as Charles Darwin and Alfred Wallace dedicate their life to observe how species interact with their environment, grow,…

Neural and Evolutionary Computing · Computer Science 2022-09-16 Manasa Josyula

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

The probability of the survival of the population of individuals of both sexes of given mature age, procreation rate and structure stability has been searched in the numerical experiment. The populations with long period of reproduction and…

Condensed Matter · Physics 2007-05-23 Kazimierz Pater

Machines provide a longstanding model for how organisms accumulate damage, age, and die. However, the large-scale observation and analysis of complex machine populations under real-world conditions is routinely missing from this framework.…

Physics and Society · Physics 2025-05-20 Saul Justin Newman

In this paper, we affirm our earlier findings of evidence for a limit to human lifespan. In particular, we assess the analyses in extreme value theory (EVT) performed by Rootz\'en and Zholud. We find that their criticisms of our work are…

Applications · Statistics 2018-06-18 Brandon Milholland , Xiao Dong , Jan Vijg

We consider one dimensional random walks in random environment where every time the process stays at a location, it dies with a fixed probability. Under some mild assumptions it is easy to show that the survival probability goes to zero as…

Probability · Mathematics 2017-09-13 Stefan Junk

Given a sufficiently large universe, numerous civilizations almost surely exist. Some of these civilizations will be short-lived and die out relatively early in their development, i.e., before having the chance to spread to other planets.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Austin Gerig , Ken D. Olum , Alexander Vilenkin

In usual demographic analysis, force of mortality is a function of one variable, that is, of age. In this article bi-variate and multivariate force of mortality functions are introduced for the first time to explain mortality differentials.…

Dynamical Systems · Mathematics 2019-02-26 Swagata Mitra , Pratyush Singh , Arni S. R. Srinivasa Rao

Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

Biological Physics · Physics 2025-02-18 Huan Liu , Shashank Priya , Richard D. James