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Genotypic fitness landscapes are constructed by assessing the fitness of all possible combinations of a given number of mutations. In the last years, several experimental fitness landscapes have been completely resolved. As fitness…

Fisher's geometric model describes biological fitness landscapes by combining a linear map from the discrete space of genotypes to an $n$-dimensional Euclidean phenotype space with a nonlinear, single-peaked phenotype-fitness map. Genotypes…

种群与进化 · 定量生物学 2020-08-28 Su-Chan Park , Sungmin Hwang , Joachim Krug

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…

种群与进化 · 定量生物学 2012-06-29 Richard A. Neher , Boris I. Shraiman

We consider an asexually reproducing population on a finite type space whose evolution is driven by exponential birth, death and competition rates, as well as the possibility of mutation at a birth event. On the individual-based level this…

种群与进化 · 定量生物学 2020-02-10 Anna Kraut , Anton Bovier

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…

种群与进化 · 定量生物学 2009-11-11 Kavita Jain , Joachim Krug

The fitness landscape defines the relationship between genotypes and fitness in a given environment, and underlies fundamental quantities such as the distribution of selection coefficient, or the magnitude and type of epistasis. A better…

种群与进化 · 定量生物学 2016-05-18 François Blanquart , Thomas Bataillon

In this paper we develop and test algorithmic techniques to estimate genotypes fitnesses by analysis of observed daily frequency data monitoring the long-term evolution of bacterial populations. In particular, we develop a non-linear least…

种群与进化 · 定量生物学 2020-10-05 Sergey S. Sarkisov , Ilya Timofeyev , Robert Azencott

Predicting fitness of biologically-active populations, communities or systems in fluctuating environments is a long-standing challenge. Phenotypic plasticity and bet-hedging strategy, two key evolutionary traits living systems harness to…

种群与进化 · 定量生物学 2024-10-24 Sumana Bhattacharyya , Uttam Singh , Anupam Sengupta

We consider populations evolving according to natural selection, mutation, and recombination, and assume that the genomes of all or a representative selection of individuals are known. We pose the problem if it is possible to infer fitness…

种群与进化 · 定量生物学 2025-10-24 Hong-Li Zeng , Yu-Han Huang , John Barton , Erik Aurell

Many biological systems exhibit multiscale dynamics, where some species occur in high copy numbers while others remain rare. This heterogeneity necessitates hybrid modelling approaches: deterministic models are computationally efficient but…

种群与进化 · 定量生物学 2026-01-21 Tom Kimpson , Domenic P. J. Germano , Jennifer A. Flegg , Mark B. Flegg

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…

种群与进化 · 定量生物学 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

The problem of automatic software generation is known as Machine Programming. In this work, we propose a framework based on genetic algorithms to solve this problem. Although genetic algorithms have been used successfully for many problems,…

神经与进化计算 · 计算机科学 2023-04-04 Shantanu Mandal , Todd A. Anderson , Javier S. Turek , Justin Gottschlich , Shengtian Zhou , Abdullah Muzahid

In this paper, we consider a fitness-level model of a non-elitist mutation-only evolutionary algorithm (EA) with tournament selection. The model provides upper and lower bounds for the expected proportion of the individuals with fitness…

神经与进化计算 · 计算机科学 2016-08-29 Anton Eremeev

A simple analytical framework to study the molecular quasispecies evolution of finite populations is proposed, in which the population is assumed to be a random combination of the constiyuent molecules in each generation,i.e., linkage…

统计力学 · 物理学 2016-08-31 Domingos Alves , J. F. Fontanari

We study biological evolution in a high-dimensional genotype space in the regime of rare mutations and strong selection. The population performs an uphill walk which terminates at local fitness maxima. Assigning fitness randomly to…

种群与进化 · 定量生物学 2015-05-28 Johannes Neidhart , Joachim Krug

This paper presents two different efficiency-enhancement techniques for probabilistic model building genetic algorithms. The first technique proposes the use of a mutation operator which performs local search in the sub-solution…

神经与进化计算 · 计算机科学 2007-05-23 Kumara Sastry , David E. Goldberg , Martin Pelikan

In this paper, we explore the theory and expand upon the practice of fitness landscape analysis for optimization problems over the space of permutations. Many of the computational and analytical tools for fitness landscape analysis, such as…

神经与进化计算 · 计算机科学 2023-11-10 Vincent A. Cicirello

We introduce a model of molecular evolution in which the fitness of an individual depends both on its own and on the parent's genotype. The model can be solved by means of a nonlinear mapping onto the standard quasispecies model. The…

生物物理 · 物理学 2009-11-07 Claus O. Wilke

Mutations in a microbial population can increase the frequency of a genotype not only by increasing its exponential growth rate, but also by decreasing its lag time or adjusting the yield (resource efficiency). The contribution of multiple…

种群与进化 · 定量生物学 2018-02-15 Michael Manhart , Bharat V. Adkar , Eugene I. Shakhnovich

Motivated by present activities in (statistical) physics directed towards biological evolution, we review the interplay of three evolutionary forces: mutation, selection, and genetic drift. The review addresses itself to physicists and…

统计力学 · 物理学 2016-11-23 Ellen Baake , Wilfried Gabriel