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The rate at which nodes in evolving social networks acquire links (friends, citations) shows complex temporal dynamics. Preferential attachment and link copying models, while enabling elegant analysis, only capture rich-gets-richer effects,…

Social and Information Networks · Computer Science 2017-09-07 Mayank Singh , Rajdeep Sarkar , Pawan Goyal , Animesh Mukherjee , Soumen Chakrabarti

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

Statistical Mechanics · Physics 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin

A novel framework is proposed for handling the complex task of modelling and analysis of longitudinal, multivariate, heterogeneous clinical data. This method uses temporal abstraction to convert the data into a more appropriate form for…

Machine Learning · Computer Science 2025-05-09 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

Statistical Mechanics · Physics 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

We study the Metropolis dynamics of a simple spin system without disorder, which exhibits glassy dynamics at low temperatures. We use an implementation of the algorithm of Bortz, Kalos and Lebowitz \cite{bortz}. This method turns out to be…

Condensed Matter · Physics 2009-10-22 Werner Krauth , Marc Mezard

We present some simple computer simulations that indicate that at short time aging is realized in a simple model of binary glasses. It is interesting to note that modest computer simulations are enough to evidenziate this effect. We also…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

The long-time dynamics of the 1D contact process suddenly brought out of an uncorrelated initial state is studied through a light-cone transfer-matrix renormalisation group approach. At criticality, the system undergoes ageing which is…

Statistical Mechanics · Physics 2007-05-23 Tilman Enss , Malte Henkel , Alan Picone , Ulrich Schollwöck

A large amount of population models use the concept of a carrying capacity. Simulated populations are bounded by invoking finite resources through a survival probability, commonly referred to as the Verhulst factor. The fact, however, that…

Populations and Evolution · Quantitative Biology 2015-05-19 C. M. N. Pinol , R. S. Banzon

This paper generalizes a previously published differential equation that describes the relation between the age-specific incidence, remission, and mortality of a disease with its prevalence. The underlying model is a simple compartment…

Populations and Evolution · Quantitative Biology 2012-09-07 Ralph Brinks

The risk of dying increases exponentially with age, in humans as well as in many other species. This increase is often attributed to the "accumulation of damage" known to occur in many biological structures and systems. The aim of this…

Populations and Evolution · Quantitative Biology 2020-07-01 Anders Ledberg

My analysis uses methods developed for data mining microarray experiments, adapted for ageing research. Methods bridge knowledge of statistical mechanics with data mining methods developed in statistical mathematics. Analyses can reveal how…

Quantitative Methods · Quantitative Biology 2012-12-11 Diana David-Rus

The catastrophic senescence of the Pacific salmon is among the initial tests used to validate the Penna aging model. Based on the mutation accumulation theory, the sudden decrease in fitness following reproduction may be solely attributed…

Biological Physics · Physics 2010-11-30 Chrysline Margus Pinol , Ronald Banzon

We describe a percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Tissues are considered as structures made of regular healthy,…

Statistical Mechanics · Physics 2016-01-28 Vladimir Privman , Vyacheslav Gorshkov , Sergiy Libert

Computer simulations of the Penna ageing model suggest that already a small fraction of births with enhanced number of new mutations can negatively influence the whole population.

Populations and Evolution · Quantitative Biology 2015-05-13 S. Cebrat , D. Stauffer

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

This paper presents a novel approach for modeling mortality rates above age 70 by proposing a mixture-based model. This model is compared to four other widely used models: the Beard, Gompertz, Makeham, and Perks models. Our model can…

Applications · Statistics 2023-01-18 Silvio C. Patricio , Fredy Castellares , Bernardo L. Queiroz

We present a simple model for biological aging. We studied it through computer simulations and we have found this model to reflect some features of real populations.

Condensed Matter · Physics 2009-10-28 Thadeu J. P. Penna

I consider ageing behaviour in two exactly solvable reaction-diffusion systems. Ageing exponents and scaling functions are determined. I discuss in particular a case in which the equality of two critical exponents, known from systems with…

Statistical Mechanics · Physics 2007-05-23 Florian Baumann

We survey the recent mathematical results about aging in certain simple disordered models. We start by the Bouchaud trap model. We then survey the results obtained for simple models of spin-glass dynamics, like the REM (the Random Energy…

Probability · Mathematics 2007-05-23 Gérard Ben-Arous

We review the ageing phenomenon in the context of simplest trap model, Bouchaud's REM-like trap model from a spectral theoretic point of view. We show that the generator of the dynamics of this model can be diagonalised exactly. Using this…

Probability · Mathematics 2007-05-23 A. Bovier , A. Faggionato