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This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

统计力学 · 物理学 2015-06-24 Barbara Drossel

These short notes collect some thoughts about the way Butcher-Oemler-like and evolutionary studies are performed. We emphasize the shortcomings of several overlooked technical ingredients in the above type of studies, with the hope of…

天体物理学 · 物理学 2007-05-23 S. Andreon

The impact of environmental fluctuation on species diversity is studied with a model of the evolutionary ecology of microorganisms. We show that environmental fluctuation induces evolutionary branching and assures the consequential…

种群与进化 · 定量生物学 2015-05-13 Masashi Tachikawa

In this article a kinetic model for the dynamics of myxobacteria colonies on flat surfaces is investigated. The model is based on the kinetic equation for collective bacteria dynamics introduced in arXiv:2001.02711, which is based on the…

偏微分方程分析 · 数学 2021-09-28 Laura Kanzler , Christian Schmeiser

Recent research has extended methods from the fields of thermodynamics and statistical mechanics into other disciplines. Most notably, one recent work creates a unified theoretical framework to understand evolutionary biology, machine…

种群与进化 · 定量生物学 2024-05-22 Daniel Sadasivan , Cole Cantu , Cecilia Marsh , Andrew Graham

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests…

凝聚态物理 · 物理学 2009-10-22 Jan de Boer , A. D. Jackson , Tilo Wettig

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

生物物理 · 物理学 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

种群与进化 · 定量生物学 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Protein distributions measured under a broad set of conditions in bacteria and yeast were shown to exhibit a common skewed shape, with variances depending quadratically on means. For bacteria these properties were reproduced by temporal…

生物物理 · 物理学 2015-10-28 Naama Brenner , C. M. Newman , Dino Osmanovic , Yitzhak Rabin , Hanna Salman , D. L. Stein

Bacteria evolve resistance to antibiotics by a multitude of mechanisms. A central, yet unsolved question is how resistance evolution affects cell growth at different drug levels. Here we develop a fitness model that predicts growth rates of…

种群与进化 · 定量生物学 2020-07-03 Fernanda Pinheiro , Omar Warsi , Dan I. Andersson , Michael Lässig

Mathematical modeling and analysis can provide insight on the dynamics of ecosystems which maintain biodiversity in the face of competitive and prey-predator interactions. Of primary interests are the underlying structure and features which…

种群与进化 · 定量生物学 2017-01-03 Cameron J. Browne

Evolutionary experiments with microbes are a powerful tool to study mutations and natural selection. These experiments, however, are often limited to the well-mixed environments of a test tube or a chemostat. Since spatial organization can…

种群与进化 · 定量生物学 2012-05-02 Kirill S Korolev , Melanie J I Müller , Nilay Karahan , Andrew W Murray , Oskar Hallatschek , David R Nelson

Biological evolution in a sequence space with random fitnesses is studied within Eigen's quasispecies model. A strong selection limit is employed, in which the population resides at a single sequence at all times. Evolutionary trajectories…

统计力学 · 物理学 2009-11-07 Joachim Krug , Christian Karl

We study the discrete-time evolution of a transformation on a set of probability measures that is up-dated combining independently the marginals on the atoms of partitions. This model was recently introduced in Baake, Baake and Salamat…

概率论 · 数学 2016-04-19 Servet Martinez

Boolean networks may be viewed as idealizations of biological genetic networks, where each node is represented by an on-off switch which is a function of the binary output from some other nodes. We evolve connectivity in a single Boolean…

生物物理 · 物理学 2016-09-08 Stefan Bornholdt , Kim Sneppen

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…

种群与进化 · 定量生物学 2010-10-05 A. Noviello , F. Romeo , R. De Luca

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…

种群与进化 · 定量生物学 2022-10-12 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Motivated by recent research of aging in E. coli, we explore the effects of aging on bacterial fitness. The disposable soma theory of aging was developed to explain how differences in lifespans and aging rates could be linked to life…

种群与进化 · 定量生物学 2007-05-23 Leah R. Johnson , Marc Mangel

To maintain a constant cell size, dividing cells have to coordinate cell cycle events with cell growth. This coordination has for long been supposed to rely on the existence of size thresholds determining cell cycle progression [1]. In…

细胞行为 · 定量生物学 2016-11-04 Ilya Soifer , Lydia Robert , Ariel Amir

Motivated by the existence of remarkably ordered cluster arrays of bacteria colonies growing in Petri dishes and related problems, we study the spontaneous emergence of clustering and patterns in a simple nonequilibrium system: the…

统计力学 · 物理学 2009-11-13 Francisco Ramos , Cristobal Lopez , E. Hernandez-Garcia , Miguel A. Munoz