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We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a…

Classical Analysis and ODEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow , Jan Engelstädter

All possible phenotypes are not equally accessible to evolving populations. In fact, only phenotypes of large size, i.e. those resulting from many different genotypes, are found in populations of sequences, presumably because they are…

Populations and Evolution · Quantitative Biology 2023-08-16 Pablo Catalán , Juan Antonio García-Martín , Jacobo Aguirre , José A. Cuesta , Susanna Manrubia

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

Biomolecules · Quantitative Biology 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu

Mutations in a microbial population can increase the frequency of a genotype not only by increasing its exponential growth rate, but also by decreasing its lag time or adjusting the yield (resource efficiency). The contribution of multiple…

Populations and Evolution · Quantitative Biology 2018-02-15 Michael Manhart , Bharat V. Adkar , Eugene I. Shakhnovich

We introduce a new model of evolution on a fitness landscape possessing a tunable degree of neutrality. The model allows us to study the general properties of molecular species undergoing neutral evolution. We find that a number of…

adap-org · Physics 2007-05-23 M. E. J. Newman , Robin Engelhardt

We study a genetic regulatory network model developed to demonstrate that genetic robustness can evolve through stabilizing selection for optimal phenotypes. We report preliminary results on whether such selection could result in a…

Molecular Networks · Quantitative Biology 2010-12-07 Volkan Sevim , Per Arne Rikvold

A theoretical and experimental analysis is made of the effects of self-adaptation in a simple evolving system. Specifically, we consider the effects of coding the mutation and crossover probabilities of a genetic algorithm evolving in…

adap-org · Physics 2008-02-03 C. Stephens , I. Garcia , J. Mora , H. Waelbroeck

We examine the switching dynamics of a stochastic population subjected to a deterministically time-varying environment. Our approach is demonstrated in the realm of ecology on a problem of population establishment. Here, by assuming a…

Statistical Mechanics · Physics 2020-02-19 Tom Israeli , Michael Assaf

The origin of altruistic behavior, i.e. the behavior that is useful for a population or a species but goes at the expense of an altruistic individual, has long been a challenge for students of evolutionary biology. The populations with…

Populations and Evolution · Quantitative Biology 2010-02-24 T. Kulich , J. Flegr

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

In a view for a simple model where natural selection at the individual level is confronted to selection effects at the group level, we consider some individual-based models of some large population subdivided into a large number of groups.…

Probability · Mathematics 2023-07-13 Aurélien Velleret

Signal-processing molecules inside cells are often present at low copy number, which necessitates probabilistic models to account for intrinsic noise. Probability distributions have traditionally been found using simulation-based approaches…

Molecular Networks · Quantitative Biology 2009-11-09 Andrew Mugler , Aleksandra M. Walczak , Chris H. Wiggins

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

In this paper, we consider two stochastic models of gene expression in prokaryotic cells. In the first model, sixteen biochemical reactions involved in transcription, translation and transcriptional regulation in the presence of inducer…

Condensed Matter · Physics 2007-05-23 Indrani Bose , Rajesh Karmakar , Siddhartha Roy

The purpose of this Note is twofold: First, we introduce the general formalism of evolutionary genetics dynamics involving fitnesses, under both the deterministic and stochastic setups, and chiefly in discrete-time. In the process, we…

Quantitative Methods · Quantitative Biology 2015-05-14 Thierry Huillet

Ecological selection is a major driver of community assembly. Selection is classified as stabilizing when species with intermediate trait values gain the highest reproductive success, whereas selection is considered directional when fitness…

Populations and Evolution · Quantitative Biology 2021-05-13 DeMalach Niv , Po-Ju Ke , Tadashi Fukami

Gene expression in cells is stochastic, yet differentiation is robust. We propose a mechanism in which frustrated genes with weakly stable intermediate expression undergo noise-driven switching between basins of attraction, followed by…

Biological Physics · Physics 2026-04-21 Davey Plugers , Kunihiko Kaneko

Adaptation in response to selection on polygenic phenotypes may occur via subtle allele frequencies shifts at many loci. Current population genomic techniques are not well posed to identify such signals. In the past decade, detailed…

Populations and Evolution · Quantitative Biology 2014-08-19 Jeremy J. Berg , Graham Coop

Recurrent mutations are a common phenomenon in population genetics. They may be at the origin of the fixation of a new genotype, if they give a phenotypic advantage to the carriers of the new mutation. In this paper, we are interested in…

Probability · Mathematics 2016-11-28 Charline Smadi

Stochasticity in gene expression gives rise to fluctuations in protein levels across a population of genetically identical cells. Such fluctuations can lead to phenotypic variation in clonal populations, hence there is considerable interest…

Molecular Networks · Quantitative Biology 2015-06-15 Hodjat Pendar , Thierry Platini , Rahul V. Kulkarni