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We review models of biological evolution in which the population frequency changes deterministically with time. If the population is self-replicating, although the equations for simple prototypes can be linearised, nonlinear equations arise…

Populations and Evolution · Quantitative Biology 2015-05-27 Kavita Jain , Sarada Seetharaman

We study the adaptation dynamics of a maladapted asexual population on rugged fitness landscapes with many local fitness peaks. The distribution of beneficial fitness effects is assumed to belong to one of the three extreme value domains,…

Populations and Evolution · Quantitative Biology 2016-01-13 Sarada Seetharaman , Kavita Jain

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

Statistical Mechanics · Physics 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

In evolution theory the concept of a fitness landscape has played an important role, evolution itself being portrayed as a hill-climbing process on a rugged landscape. In this article it is shown that in general, in the presence of other…

Adaptation and Self-Organizing Systems · Physics 2016-11-17 C. R. Stephens

Mutational robustness quantifies the effect of random mutations on fitness. When mutational robustness is high, most mutations do not change fitness or have only a minor effect on it. From the point of view of fitness landscapes, robust…

Populations and Evolution · Quantitative Biology 2019-10-22 Alexander Klug , Su-Chan Park , Joachim Krug

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:…

Populations and Evolution · Quantitative Biology 2011-10-14 Sidhartha Goyal , Daniel J. Balick , Elizabeth R. Jerison , Richard A. Neher , Boris I. Shraiman , Michael M. Desai

Consider a mathematical model of evolutionary adaptation of fitness landscape and mutation matrix as a reaction to population changes. As a basis, we use an open quasispecies model, which is modified to include explicit death flow. We…

Populations and Evolution · Quantitative Biology 2020-11-25 Igor Samokhin , Tatiana Yakushkina , Alexander S. Bratus

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…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

We show that evolution in a population of adaptive agents, repeatedly competing for a limited resource, can come to an abrupt halt. This transition from evolutionary to non-evolutionary behavior arises as the global resource level is…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. F. Johnson , D. J. T. Leonard , P. M. Hui , T. S. Lo

Resource are often not uniformly distributed within a population. Spatial variations of concentration of a resource, change the fitness of competing strategies locally. The notion of fitness varying with respect to both genotype and…

Populations and Evolution · Quantitative Biology 2022-04-08 Hossein Nemati , Mohammad Reza Ejtehadi , Kamran Kaveh

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

Populations and Evolution · Quantitative Biology 2015-05-19 Anna Melbinger , Massimo Vergassola

Population expansions trigger many biomedical and ecological transitions, from tumor growth to invasions of non-native species. Although population spreading often selects for more invasive phenotypes, we show that this outcome is far from…

Populations and Evolution · Quantitative Biology 2015-12-14 Kirill S. Korolev

Evolution occurs in populations of reproducing individuals. It is well known that population structure can affect evolutionary dynamics. Traditionally, natural selection is studied between mutants that differ in reproductive rate, but are…

Populations and Evolution · Quantitative Biology 2021-11-23 Josef Tkadlec , Kamran Kaveh , Krishnendu Chatterjee , Martin A. Nowak

We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. We propose a new model of gene regulation, where gene expression is…

Populations and Evolution · Quantitative Biology 2016-09-29 John Reinitz , Sergey Vakulenko , Dmitri Grigoriev , Andreas Weber

The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit…

Populations and Evolution · Quantitative Biology 2015-06-30 Oskar Hallatschek , Lukas Geyrhofer

The basic mechanics of evolution have been understood since Darwin. But debate continues over whether macroevolutionary phenomena are driven primary by the fitness structure of genotype space or by ecological interaction. In this paper we…

Populations and Evolution · Quantitative Biology 2012-10-22 David V. Foster , Mary M. Rorick , Tanja Gesell , Laura Feeney , Jacob G. Foster

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

Evolutionary dynamics is often viewed as a subtle process of change accumulation that causes a divergence among organisms and their genomes. However, this interpretation is an inheritance of a gradualistic view that has been challenged at…

Populations and Evolution · Quantitative Biology 2018-07-27 Jacobo Aguirre , Pablo Catalán , José A. Cuesta , Susanna Manrubia

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

Populations and Evolution · Quantitative Biology 2007-05-23 Jacek Miekisz

Hubbell's neutral theory of biodiversity has successfully explained the observed composition of many ecological communities but it relies on strict demographic equivalence among species and provides no room for evolutionary processes like…

Populations and Evolution · Quantitative Biology 2012-11-16 David A. Kessler , Nadav M. Shnerb
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