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Advances in healthcare and in the quality of life significantly increase human life expectancy. With the ageing of populations, new un-faced challenges are brought to science. The human body is naturally selected to be well-functioning…

Artificial Intelligence · Computer Science 2016-07-21 Grazziela P. Figueredo , Peer-Olaf Siebers , Uwe Aickelin , Amanda Whitbrook , Jonathan M. Garibaldi

The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model (VM) dynamics)…

Populations and Evolution · Quantitative Biology 2009-11-13 T. Antal , S. Redner , V. Sood

Branching processes are models used to describe populations that reproduce and die over time. In the classical setting, an individual's reproductive capacity remains constant throughout its lifetime. However, in real-world situations,…

Probability · Mathematics 2026-02-27 Daniela Bertacchi , Elena Montanaro , Fabio Zucca

At the physiological level, aging is neither rigid nor unchangeable. Instead, the molecular and mechanisms driving aging are sufficiently plastic that a variety of diverse interventions--dietary, pharmaceutical, and genetic--have been…

Quantitative Methods · Quantitative Biology 2018-08-28 Nicholas Stroustrup

We study and compare equilibrium and aging dynamics on both sides of the ideal glass transition temperature $T_{MCT}$. In the context of a mean field model, we observe that all dynamical behaviors are determined by the energy distance…

Disordered Systems and Neural Networks · Physics 2009-10-06 Alexandre Lefèvre

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

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

Computer Science and Game Theory · Computer Science 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

Time delay can have a significant impact on the properties of collective organization of active matter. In the previous paper [1], we discussed delay-induced breathing in a system of swarmalators - a model coupling particles' internal…

Statistical Mechanics · Physics 2025-08-12 Chanin Kumpeerakij , Thiparat Chotibut , Oleg Kogan

We discuss dynamics obtained by increasing powers of non-normal matrices that are roots of the identity, and therefore have all eigenvalues on the unit circle. Naively, one would expect that the expectation value of such powers cannot grow…

Mathematical Physics · Physics 2025-10-02 Junaid Majeed Bhat , Jaš Bensa , Marko Žnidarič

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel

Many single-cell observables are highly heterogeneous. A part of this heterogeneity stems from age-related phenomena: the fact that there is a nonuniform distribution of cells with different ages. This has led to a renewed interest in…

Quantitative Methods · Quantitative Biology 2018-04-18 Nash Rochman , Dan Popescu , Sean X. Sun

Sexual selection theory models evolution of sexual signals and preferences using simple life histories. However, life-history models predict that males benefit from increasing sexual investment approaching old age, producing age-dependent…

Populations and Evolution · Quantitative Biology 2013-12-16 Joel James Adamson

The evolution of complexity has been a central theme for Biology [2] and Artificial Life research [1]. It is generally agreed that complexity has increased in our universe, giving way to life, multi-cellularity, societies, and systems of…

Populations and Evolution · Quantitative Biology 2011-09-06 Carlos Gershenson , Tom Lenaerts

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

Probability · Mathematics 2023-08-01 Aurélien Velleret

We represent a process of learning by using bit strings, where 1-bits represent the knowledge acquired by individuals. Two ways of learning are considered: individual learning by trial-and-error; and social learning by copying knowledge…

Populations and Evolution · Quantitative Biology 2007-05-23 Armando Ticona Bustillos , Paulo Murilo C. de Oliveira

Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

Populations and Evolution · Quantitative Biology 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich

This paper is concerned with an analysis of the dynamics of a non-autonomous, single population age based growth model with harvesting formulation. First, we derive sufficient conditions for permanence and positive invariance. Then, by…

Populations and Evolution · Quantitative Biology 2020-01-10 N. S. N. V. K. Vyshnavi Devi , Debaldev Jana , M. Lakshmanan

Motivated by recent research of aging in E. coli, we explore the effects of aging on bacterial fitness. The disposable soma theory of aging was developed to explain how differences in lifespans and aging rates could be linked to life…

Populations and Evolution · Quantitative Biology 2007-05-23 Leah R. Johnson , Marc Mangel

Many complex systems experience damage accumulation which leads to aging, manifest as an increasing probability of system collapse with time. This naturally raises the question of how to maximize health and longevity in an aging system at…

Populations and Evolution · Quantitative Biology 2020-12-02 Eric D. Sun , Thomas C. T. Michaels , L. Mahadevan

Continuous-time random walks are generalisations of random walks frequently used to account for the consistent observations that many molecules in living cells undergo anomalous diffusion, i.e. subdiffusion. Here, we describe the…

Analysis of PDEs · Mathematics 2015-03-31 Hugues Berry , Thomas Lepoutre , Álvaro Mateos González
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