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The analysis of a truncated sample can be hindered by censoring. Survival information may be lost to follow-up or the birthdate may be missing. The data can still be modeled as a truncated point process and it is close to a Poisson process,…

Methodology · Statistics 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

We develop flexible multi-parameter regression survival models for interval censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multi-parameter Weibull regression…

Methodology · Statistics 2019-01-29 Defen Peng , Gilbert MacKenzie , Kevin Burke

Epochal dynamics, in which long periods of stasis in population fitness are punctuated by sudden innovations, is a common behavior in both natural and artificial evolutionary processes. We use a recent quantitative mathematical analysis of…

adap-org · Physics 2007-05-23 Erik van Nimwegen , James P. Crutchfield

A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , D. Sornette

In the long run, the eventual extinction of any biological population is an inevitable outcome. While extensive research has focused on the average time it takes for a population to go extinct under various circumstances, there has been…

Populations and Evolution · Quantitative Biology 2023-07-18 David Kessler , Nadav M. Shnerb

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

The i.i.d. censoring model for survival analysis assumes two independent sequences of i.i.d. positive random variables, $(T_i^*)_{1\le i\le n}$ and $(U_i)_{1\le i\le n}$. The data consists of observations on the random sequence…

Statistics Theory · Mathematics 2020-02-27 Ross A. Maller , Sidney I. Resnick

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

Understanding why we age is a long-lived open problem in evolutionary biology. Aging is prejudicial to the individual and evolutionary forces should prevent it, but many species show signs of senescence as individuals age. Here, I will…

Populations and Evolution · Quantitative Biology 2012-01-24 André C. R. Martins

A model describing the dynamics related to the spreading of non-lethal infectious diseases in a fixed-size population is proposed. The model consists of a non-linear delay-differential equation describing the time evolution of the increment…

Populations and Evolution · Quantitative Biology 2010-10-05 A. Noviello , F. Romeo , R. De Luca

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

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

The idea that there are any large-scale trends in the evolution of biological organisms is highly controversial. It is commonly believed, for example, that there is a large-scale trend in evolution towards increasing complexity, but…

Neural and Evolutionary Computing · Computer Science 2021-06-08 Peter D. Turney

Following the recent publication of our book on Exploring the Health State of a Population by Dynamic Modeling Methods in The Springer Series on Demographic Methods and Population Analysis (DOI 10.1007/978-3-319-65142-2) we provide this…

Quantitative Methods · Quantitative Biology 2017-11-28 Christos H Skiadas , Charilaos Skiadas

The intensification and increased frequency of weather extremes is emerging as one of the most important aspects of climate change. We use Monte Carlo simulation to understand and predict the consequences of variations in trends (i.e.,…

Populations and Evolution · Quantitative Biology 2011-08-26 Simone Vincenzi , Michele Bellingeri

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

Recently, different dispersion strategies in population models subject to geometric catastrophes have been considered as strategies to improve the chance of po\-pu\-lation's survival. Such dispersion strategies have been contrasted with the…

Probability · Mathematics 2023-03-17 Valdivino Vargas Junior , Fábio Prates Machado , Alejandro Roldán-Correa

Biological populations are subject to fluctuating environmental conditions. Different adaptive strategies can allow them to cope with these fluctuations: specialization to one particular environmental condition, adoption of a generalist…

Populations and Evolution · Quantitative Biology 2017-09-27 Andreas Mayer , Thierry Mora , Olivier Rivoire , Aleksandra M. Walczak

Correlations between high life expectancy and low lifespan inequality are frequently observed. A recent article seeks to explain this phenomenon by proposing that a mortality improvement maps to life expectancy and relative lifespan…

Populations and Evolution · Quantitative Biology 2020-11-23 M. J. Wensink