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Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection mechanism. However, selection acts on phenotypes, and is…

Populations and Evolution · Quantitative Biology 2026-05-01 Bastien Mallein , Francesco Paparella , Emmanuel Schertzer , Zsófia Talyigás

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

Populations and Evolution · Quantitative Biology 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

Although many phenotypic traits are determined by a large number of genetic variants, the behavior of allele frequencies in a polygenic trait is not completely understood. The problem is especially challenging when the quantitative trait of…

Populations and Evolution · Quantitative Biology 2026-03-31 Archana Devi , Kavita Jain

Hysteresis and bet-hedging (random choice of phenotypes) are two different observations typically linked with multiplicity of phenotypes in biological systems. Hysteresis can be viewed as form of the system's persistent memory of past…

Populations and Evolution · Quantitative Biology 2015-06-17 Gary Friedman , Stephen McCarthy , Dmitrii Rachinskii

We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. We propose a new model of gene regulation, where gene expression is…

Populations and Evolution · Quantitative Biology 2016-09-29 John Reinitz , Sergey Vakulenko , Dmitri Grigoriev , Andreas Weber

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

We show that the effect of stress on the reproductive fitness of noisy cell populations can be modelled as first-passage time problem, and demonstrate that even relatively short-lived fluctuations in gene expression can ensure long-term…

Biological Physics · Physics 2015-06-03 Daniel A. Charlebois , Nezar Abdennur , Mads Kaern

Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

Populations and Evolution · Quantitative Biology 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

Recent studies at individual cell resolution have revealed phenotypic heterogeneity in nominally clonal tumor cell populations. The heterogeneity affects cell growth behaviors, which can result in departure from the idealized uniform…

Populations and Evolution · Quantitative Biology 2023-10-20 Yue Wang , Joseph X. Zhou , Edoardo Pedrini , Irit Rubin , May Khalil , Roberto Taramelli , Hong Qian , Sui Huang

We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate due to age or competition and a probability of mutation…

Probability · Mathematics 2019-02-12 Anton Bovier , Loren Coquille , Charline Smadi

This study elaborates some examples of a simple evolutionary stochastic rate process where the population rate of change depends on the distribution of properties--so different cohorts change at different rates. We investigate the effect on…

Populations and Evolution · Quantitative Biology 2010-01-26 C. T. J. Dodson

We are interested in the dynamics of a population structured by a phenotypic trait. Individuals reproduce sexually, which is represented by a non-linear integral operator. This operator is combined to a multiplicative operator representing…

Analysis of PDEs · Mathematics 2021-04-14 Gaël Raoul

This paper shows that differentiating the lifetimes of two phenotypes independently from their fertility can lead to a qualitative change in the equilibrium of a population: since survival and reproduction are distinct functional aspects of…

Populations and Evolution · Quantitative Biology 2013-05-22 Ignacio Gallo

We construct a model of speciation from evolution in an ecosystem consisting of a limited amount of energy recources. The species posses genetic information, which is inherited according to the rules of the Penna model of genetic evolution.…

Soft Condensed Matter · Physics 2007-05-23 Aleksandra Nowicka , Artur Duda , Miroslaw R. Dudek

Large populations may contain numerous simultaneously segregating polymorphisms subject to natural selection. Since selection acts on individuals whose fitness depends on many loci, different loci affect each other's dynamics. This leads to…

Populations and Evolution · Quantitative Biology 2011-08-09 Richard A. Neher , Boris I. Shraiman

Cells can often choose among several stably heritable phenotypes. Examples are the expression of genes in eukaryotic cells where long chromosomal regions can adopt persistent and heritable silenced or active states, that may be associated…

Molecular Networks · Quantitative Biology 2015-05-18 Mille A. Micheelsen , Namiko Mitarai , Kim Sneppen , Ian. B. Dodd

Due to stochastic fluctuations arising from finite population size, known as genetic drift, the ability of a population to explore a rugged fitness landscape depends on its size. In the weak mutation regime, while the mean steady-state…

Populations and Evolution · Quantitative Biology 2024-12-30 Richard Servajean , Anne-Florence Bitbol

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier