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We consider a model of a population of fixed size $N$ undergoing selection. Each individual acquires beneficial mutations at rate $\mu_N$, and each beneficial mutation increases the individual's fitness by $s_N$. Each individual dies at…

概率论 · 数学 2015-07-03 Jason Schweinsberg

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

统计力学 · 物理学 2017-03-22 Tamás Biró , Zoltán Néda

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

种群与进化 · 定量生物学 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

We present a simple physical model that recapitulates several features of biological evolution, while being based only on thermally-driven attachment and detachment of elementary building blocks. Through its dynamics, this model samples a…

种群与进化 · 定量生物学 2025-07-11 Guy Bunin , Olivier Rivoire

Environmental variation can play an important role in ecological competition by influencing the relative advantage between competing species. Here, we consider such effects by extending a classical, competitive Moran model to incorporate an…

种群与进化 · 定量生物学 2019-09-18 Ryan Murray , Glenn Young

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

种群与进化 · 定量生物学 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

We consider a continuum version of a previously introduced and numerically studied model of macroevolution (PRL 75, 2055, (1995)) in which agents evolve by an optimization process in a rugged fitness landscape and die due to their…

生物物理 · 物理学 2009-10-30 Paolo Sibani

We study how environmental stochasticity influences the long-term population size in certain one- and two-species models. The difficulty is that even when one can prove that there is persistence, it is usually impossible to say anything…

种群与进化 · 定量生物学 2025-07-15 Alexandru Hening , Siddharth Sabharwal

Many studies have analyzed how variability in reproductive success affects fitness. However, each study tends to focus on a particular problem, leaving unclear the overall structure of variability in populations. This fractured conceptual…

种群与进化 · 定量生物学 2011-11-08 Steven A. Frank

Agent-based stochastic models for finite populations have recently received much attention in the game theory of evolutionary dynamics. Both the ultimate fixation and the pre-fixation transient behavior are important to a full understanding…

种群与进化 · 定量生物学 2015-03-17 Da Zhou , Hong Qian

Theoretical descriptions of the stepping-stone model, a cornerstone of spatial population genetics, have long overlooked diffusive noise arising from migration dynamics. We derive an exact fluctuating hydrodynamic description of this model…

统计力学 · 物理学 2025-05-30 Rashmiranjan Bhutia , Stephy Jose , Prasad Perlekar , Kabir Ramola

In this paper, we investigate fitness landscapes (under point mutation and recombination) from the standpoint of whether the induced evolutionary dynamics have a "fast-slow" time scale associated with the differences in relaxation time…

种群与进化 · 定量生物学 2007-05-23 Max Shpak , Peter Stadler , Gunter Wagner , Lee Altenberg

We propose a minimal model to simulate long waiting times followed by evolutionary bursts on rugged landscapes. It combines point and inversions-like mutations as sources of genetic variation. The inversions are intended to simulate one of…

种群与进化 · 定量生物学 2021-05-13 Leonardo Trujillo , Paul Banse , Guillaume Beslon

Boolean networks have been widely used to explore aspects of gene regulation, traditionally with a single network. A modified form of the model to explore the effects of increasing the number of gene states has also recently been…

分子网络 · 定量生物学 2024-01-22 Larry Bull

The vast majority of mutations are deleterious, and are eliminated by purifying selection. Yet in finite asexual populations, purifying selection cannot completely prevent the accumulation of deleterious mutations due to Muller's ratchet:…

In this article, a stochastic individual-based model describing Darwinian evolution of asexual, phenotypic trait-structured population, is studied. We consider a large population with constant population size characterised by a resampling…

概率论 · 数学 2024-07-09 Nicolas Champagnat , Vincent Hass

Fitness landscapes are mappings between genotypes, phenotypes, and fitness that shape evolution. In recent years, empirical work and theoretical models have greatly advanced our understanding of how populations navigate rugged fitness…

种群与进化 · 定量生物学 2026-04-21 Malvika Srivastava , Claudia Bank , Joachim Krug , Suman G. Das

We investigate a model of evolutionary dynamics on a smooth landscape which features a ``mutator'' allele whose effect is to increase the mutation rate. We show that the expected proportion of mutators far from equilibrium, when the fitness…

patt-sol · 物理学 2009-10-30 David A. Kessler , Herbert Levine

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

种群与进化 · 定量生物学 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

We have simulated the evolution of age structured populations whose individuals represented by their diploid genomes were distributed on a square lattice. The environmental conditions on the whole territory changed simultaneously in the…

种群与进化 · 定量生物学 2009-11-05 Wojciech Waga , Marta Zawierta , Stanislaw Cebrat
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