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Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

Populations and Evolution · Quantitative Biology 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

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

Most new mutations are deleterious and are eventually eliminated by natural selection. But in an adapting population, the rapid amplification of beneficial mutations can hinder the removal of deleterious variants in nearby regions of the…

Populations and Evolution · Quantitative Biology 2014-05-16 Benjamin H Good , Michael M Desai

We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("traits"), which can be discrete or continuous. Under minimal…

Populations and Evolution · Quantitative Biology 2018-11-02 Alex McAvoy , Ben Adlam , Benjamin Allen , Martin A. Nowak

We study how the interplay between the memory immune response and pathogen mutation affects epidemic dynamics in two related models. The first explicitly models pathogen mutation and individual memory immune responses, with contacted…

Chaotic Dynamics · Physics 2009-11-07 Michelle Girvan , Duncan S. Callaway , M. E. J. Newman , Steven H. Strogatz

Dominance is usually considered a constant value that describes the relative difference in fitness or phenotype between heterozygotes and the average of homozygotes at a focal polymorphic locus. However, the observed dominance can vary with…

Populations and Evolution · Quantitative Biology 2023-12-05 Juan Li , Claudia Bank

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

We investigate the effect of spatial range expansions on the evolution of fitness when beneficial and deleterious mutations co-segregate. We perform individual-based simulations of a uniform linear habitat and complement them with…

Populations and Evolution · Quantitative Biology 2013-06-10 Stephan Peischl , Isabelle Dupanloup , Mark Kirkpatrick , Laurent Excoffier

Fitness landscapes provide a quantitative framework for understanding how natural selection shapes evolutionary trajectories. A central feature of these landscapes is their number of local optima, which determines whether fitness-increasing…

Populations and Evolution · Quantitative Biology 2026-05-06 Mahan Ghafari , Alejandro Castro Cabrera , Alejandro Lage-Castellanos , Guillaume Achaz , Joachim Krug , Luca Ferretti

An elastic spring network is an example of evolvable matter. It can be pruned to couple separated pairs of nodes so that when a strain is applied to one of them, the other responds either in-phase or out-of-phase. This produces two pruned…

Soft Condensed Matter · Physics 2026-02-10 Samar Alqatari , Sidney Nagel

The evolution of antimicrobial resistance generally occurs in an environment where antimicrobial concentration is variable, which has dramatic consequences on the microorganisms' fitness landscape, and thus on the evolution of resistance.…

Biological Physics · Physics 2018-10-23 Loïc Marrec , Anne-Florence Bitbol

We investigate the fitness advantage associated with the robustness of a phenotype against deleterious mutations using deterministic mutation-selection models of quasispecies type equipped with a mesa shaped fitness landscape. We obtain…

Populations and Evolution · Quantitative Biology 2015-05-13 Andrea Wolff , Joachim Krug

We consider the dynamics of a non-recombining haploid population of finite size which accumulates deleterious mutations irreversibly. This ratchet like process occurs at a finite speed in the absence of epistasis, but it has been suggested…

Populations and Evolution · Quantitative Biology 2008-08-18 Kavita Jain

The accumulation of beneficial mutations on many competing genetic backgrounds in rapidly adapting populations has a striking impact on evolutionary dynamics. This effect, known as clonal interference, causes erratic fluctuations in the…

Populations and Evolution · Quantitative Biology 2013-05-31 Katya Kosheleva , Michael Desai

We study the evolutionary dynamics of an asexual population of nonmutators and mutators on a class of epistatic fitness landscapes. We consider the situation in which all mutations are deleterious and mutators are produced from nonmutators…

Populations and Evolution · Quantitative Biology 2013-05-08 Kavita Jain , Apoorva Nagar

A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable mutation rates as a control parameter to optimise the…

Populations and Evolution · Quantitative Biology 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

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

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

Analysis of PDEs · Mathematics 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques

Epistasis (gene-gene interaction) is crucial to predicting genetic disease. Our work tackles the computational challenges faced by previous works in epistasis detection by modeling it as a one-step Markov Decision Process where the state is…

Machine Learning · Computer Science 2018-09-26 Kexin Huang , Rodrigo Nogueira