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Biofilm infections on medical implants are difficult to eradicate because insufficient nutrient availability promotes antibiotic-tolerant persister cells that survive treatment and reseed growth. Existing mathematical models usually omit…

Populations and Evolution · Quantitative Biology 2025-09-23 Parna Mandal , Nigel J. Mottram , Sean McGinty

The mutation-selection mechanism of Darwinian evolution gives rise not only to adaptation to environmental conditions but also to the enhancement of robustness against mutations. When two or more phenotypes have the same fitness value, the…

Populations and Evolution · Quantitative Biology 2024-11-20 Macoto Kikuchi

Character evolution that affects ecological community interactions often occurs contemporaneously with temporal changes in population size, potentially altering the very nature of those dynamics. Such eco-evolutionary processes may be most…

Populations and Evolution · Quantitative Biology 2012-06-12 Laura E. Jones , Lutz Becks , Stephen P. Ellner , Nelson G. Hairston , Takehito Yoshida , Gregor F. Fussmann

The emergence of complex patterns of organization close to the Cambrian boundary is known to have happened over a (geologically) short period of time. It involved the rapid diversification of body plans and stands as one of the major…

Genomics · Quantitative Biology 2007-05-23 Ricard V. Sole , Pau Fernandez , Stuart A. Kauffman

In this paper we consider a microscopic model of a simple ecosystem. The basic ingredients of this model are individuals, and both the phenotypic and genotypic levels are taken in account. The model is based on a long range cellular…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Michele Bezzi

Background: The accumulation of deleterious mutations of a population directly contributes to the fate as to how long the population would exist, a process often described as Muller's ratchet with the absorbing phenomenon. The key to…

Populations and Evolution · Quantitative Biology 2012-09-11 Shuyun Jiao , Ping Ao

Genetic drift is stochastic fluctuations of alleles frequencies in a population due to sampling effects. We consider a model of drift in an equilibrium population, with high mutation rates: few functional mutations per generation. Such…

Populations and Evolution · Quantitative Biology 2017-01-12 Alexey A. Shadrin , Dmitri V. Parkhomchuk

We study the adaptive dynamics of predator-prey systems modeled by a dynamical system in which the traits of predators and prey are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the…

Probability · Mathematics 2015-03-13 Rick Durrett , John Mayberry

The forest of mutations associated to a multitype branching forest is obtained by merging together all vertices of its clusters and by preserving connections between them. We first show that the forest of mutations of any mulitype branching…

Probability · Mathematics 2015-10-06 Loïc Chaumont , Thi Ngoc Anh Nguyen

The process of evolutionary emergence of purposeful adaptive behavior is investigated by means of computer simulations. The model proposed implies that there is an evolving population of simple agents, which have two natural needs: energy…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mikhail S. Burtsev , Vladimir G. Redko , Roman V. Gusarev

Crossover and mutation are the two main operators that lead to new solutions in evolutionary approaches. In this article, a new method of performing the crossover phase is presented. The problem of choice is evolutionary decision tree…

Neural and Evolutionary Computing · Computer Science 2021-05-11 Maciej Świechowski

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

This paper concerns applications of genetic algorithms and genetic programming to tasks for which it is difficult to find a representation that does not map to a highly complex and discontinuous fitness landscape. In such cases the standard…

Neural and Evolutionary Computing · Computer Science 2016-05-06 Michal Gregor , Juraj Spalek

How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider the time until a…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

Is evolution always gradual or can it make leaps? We examine a mathematical model of an evolutionary process on a fitness landscape and obtain analytic solutions for the probability of multi-mutation leaps, that is, several mutations…

Populations and Evolution · Quantitative Biology 2022-10-12 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

The accumulation of deleterious mutations is driven by rare fluctuations which lead to the loss of all mutation free individuals, a process known as Muller's ratchet. Even though Muller's ratchet is a paradigmatic process in population…

Populations and Evolution · Quantitative Biology 2012-06-29 Richard A. Neher , Boris I. Shraiman

We consider the evolutionary trajectories traced out by an infinite population undergoing mutation-selection dynamics in static, uncorrelated random fitness landscapes. Starting from the population that consists of a single genotype, the…

Populations and Evolution · Quantitative Biology 2009-11-11 Kavita Jain , Joachim Krug

The accumulation of adaptive mutations is essential for survival in novel environments. However, in clonal populations with a high mutational supply, the power of natural selection is expected to be limited. This is due to clonal…

Populations and Evolution · Quantitative Biology 2014-04-04 João Barroso-Batista , Ana Sousa , Marta Lourenço , Marie-Louise Bergman , Jocelyne Demengeot , Karina B. Xavier , Isabel Gordo

Linked beneficial and deleterious mutations are known to decrease the fixation probability of a favorable mutation in large asexual populations. While the hindering effect of strongly deleterious mutations on adaptive evolution has been…

Populations and Evolution · Quantitative Biology 2022-03-22 Kavita Jain

Mechanisms of immunity, and of the host-pathogen interactions in general are among the most fundamental problems of medicine, ecology, and evolution studies. Here, we present a microscopic, protein-level, sequence-based model of immune…

Biomolecules · Quantitative Biology 2007-11-22 Muyoung Heo , Konstantin B. Zeldovich , Eugene I. Shakhnovich
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