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Genomic evolution can be viewed as string-editing processes driven by mutations. An understanding of the statistical properties resulting from these mutation processes is of value in a variety of tasks related to biological sequence data,…

Information Theory · Computer Science 2018-12-07 Hao Lou , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

In this work we propose a physical model of organismal evolution, where phenotype, organism life expectancy, is directly related to genotype i.e. the stability of its proteins which can be determined exactly in the model. Simulating the…

Populations and Evolution · Quantitative Biology 2007-05-23 Konstantin B. Zeldovich , Boris E. Shakhnovich , Eugene I. Shakhnovich

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

Data Analysis, Statistics and Probability · Physics 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

During bouts of evolutionary diversification, such as adaptive radiations, the emerging species cluster around different locations in phenotype space, How such multimodal patterns in phenotype space can emerge from a single ancestral…

Populations and Evolution · Quantitative Biology 2007-11-19 Michael Doebeli , Hendrik J. Blok , Olof Leimar , Ulf Dieckmann

Genetically identical cells in the same population can take on phenotypically variable states, leading to differentiated responses to external signals, such as nutrients and drug-induced stress. Many models and experiments have focused on a…

Molecular Networks · Quantitative Biology 2015-04-28 Thierry Mora , Aleksandra M. Walczak

Evolvability refers to the ability of an individual genotype (solution) to produce offspring with mutually diverse phenotypes. Recent research has demonstrated that divergent search methods, particularly novelty search, promote evolvability…

Neural and Evolutionary Computing · Computer Science 2023-06-19 Bruno Gašperov , Marko Đurasević

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

The model of interaction between learning and evolutionary optimization is designed and investigated. The evolving population of modeled organisms is considered. The mechanism of the genetic assimilation of the acquired features during a…

Neural and Evolutionary Computing · Computer Science 2014-11-20 Vladimir G. Red'ko

A central goal in ecology is to understand how biodiversity is maintained. Previous theoretical works have employed the rock-paper-scissors (RPS) game as a toy model, demonstrating that population mobility is crucial in determining the…

Populations and Evolution · Quantitative Biology 2026-05-21 Kaiwen Jiang , Chenyang Zhao , Shengfeng Deng , Weiran Cai , Jiqiang Zhang , Li Chen

We show that the Tangled Nature model can be interpreted as a general formulation of the quasi-species model by Eigen et al. in a frequency dependent fitness landscape. We present a detailed theoretical derivation of the mutation threshold,…

Statistical Mechanics · Physics 2009-11-07 Simone Avogadro di Collobiano , Kim Christensen , Henrik Jeldtoft Jensen

There have been many studies to examine whether one trait is correlated with another trait across a group of present-day species (for example, do species with larger brains tend to have longer gestation times. Since the introduction of the…

Populations and Evolution · Quantitative Biology 2023-09-07 Albert Ch. Soewongsono , Barbara R. Holland , Malgorzata M. O'Reilly

A simple model of macroevolution is proposed exhibiting both the property of punctuated equilibrium and the dynamics of potentialities for different species to evolve towards increasingly higher complexity. It is based on the phenomenon of…

Biological Physics · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

Environmental fluctuations have important consequences in the organization of ecological communities, and understanding how such a variability influences the biodiversity of an ecosystem is a major question in ecology. In this paper, we…

Populations and Evolution · Quantitative Biology 2016-11-16 Jorge Hidalgo , Samir Suweis , Amos Maritan

We re-examine the evolutionary dynamics of RNA secondary structures under directional selection towards an optimum RNA structure. We find that the punctuated equilibria lead to a very slow approach to the optimum, following on average an…

Populations and Evolution · Quantitative Biology 2010-11-05 P. Sulc , A. Wagner , O. C. Martin

We study a minimal model for the growth of a phenotypically heterogeneous population of cells subject to a fluctuating environment in which they can replicate (by exploiting available resources) and modify their phenotype within a given…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea De Martino , Thomas Gueudré , Mattia Miotto

Quasispecies theory provides the conceptual and theoretical bases for describing the dynamics of biological information of replicators subject to large mutation rates. This theory, initially conceived within the framework of prebiotic…

Populations and Evolution · Quantitative Biology 2025-06-26 Edward A. Turner , Francisco Crespo , Josep Sardanyés , Nolbert Morales

In many models of genotypic evolution, the vector of genotype populations satisfies a system of linear ordinary differential equations. This system of equations models a competition between differential replication rates (fitness) and…

Populations and Evolution · Quantitative Biology 2009-11-13 Charles L. Epstein

An ongoing debate in evolutionary biology is whether phenotypic change occurs predominantly around the time of speciation or whether it instead accumulates gradually over time. In this work I propose a general framework incorporating both…

Populations and Evolution · Quantitative Biology 2014-07-02 Krzysztof Bartoszek

We introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of colonies in the population, and the growth rate of colonies…

Probability · Mathematics 2025-01-30 Sylvain Billiard , Charles Medous , Charline Smadi

We introduce a generalization of the parallel, or Crow-Kimura, and Eigen models of molecular evolution to represent the exchange of genetic information between individuals in a population. We study the effect of different schemes of genetic…

Populations and Evolution · Quantitative Biology 2009-11-13 Enrique Munoz , Jeong-Man Park , Michael W. Deem
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