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The one-dimensional motion of $N$ particles in the field of many incoherent waves is revisited numerically. When the wave complex amplitudes are independent, with a gaussian distribution, the quasilinear approximation is found to always…

Chaotic Dynamics · Physics 2015-05-13 Yves Elskens

This paper is about statistical properties of quasistatic dynamical systems. These are a class of non-stationary systems that model situations where the dynamics change very slowly over time due to external influence. We focus on the case…

Dynamical Systems · Mathematics 2018-07-05 Juho Leppänen

A review of the mechanisms of speciation is performed. The mechanisms of the evolution of species, taking into account the feedback of the state of the environment and mechanisms of the emergence of complexity, are considered. It is shown…

Populations and Evolution · Quantitative Biology 2018-07-18 Alexey V. Melkikh , Alexey V. Melkikh , Andrei Khrennikov

Using methods of statistical physics, we present rigorous theoretical calculations of Eigen's quasispecies theory with the truncated fitness landscape which dramatically limits the available sequence space of a reproducing quasispecies.…

Populations and Evolution · Quantitative Biology 2015-05-13 David B. Saakian , Christof K. Biebricher , Chin-Kun Hu

We consider the quasi-static evolution of a brittle layer on a stiff substrate; adhesion between layers is assumed to be elastic. Employing a phase-field approach we obtain the quasi-static evolution as the limit of time-discrete evolutions…

Analysis of PDEs · Mathematics 2019-10-28 Matteo Negri

A population genetics formulation of Eigen's molecular quasispecies model is proposed and several simple replication landscapes are investigated analytically. Our results show a remarcable similarity to those obtained with the original…

Condensed Matter · Physics 2009-10-28 Domingos Alves , Jose Fernando Fontanari

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, under certain assumptions, the fitness of almost all quasi-species becomes independent of mutational probabilities and the initial frequency distributions of the sequences in high dimensional sequence spaces. This result is…

Populations and Evolution · Quantitative Biology 2016-07-05 Vaibhav Madhok

A quasispecies is the stationary state of a set of interrelated genotypes that evolve according to the usual principles of selection and mutation. Quasispecies studies have invariably concentrated on the possibility of errors during…

Populations and Evolution · Quantitative Biology 2015-01-20 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

This study focuses on open quasispecies systems with competition and death flow, described by modified Eigen and Crow-Kimura models. We examine the evolutionary adaptation process as a reaction to changes in rates. One of the fundamental…

Populations and Evolution · Quantitative Biology 2021-12-01 Igor Samokhin , Tatiana Yakushkina , Dmitry Markin , Alexander S. Bratus

The quasispecies model describes processes related to the origin of life and viral evolutionary dynamics. We discuss how the error catastrophe that reflects the transition from localized to delocalized quasispecies population is affected by…

Populations and Evolution · Quantitative Biology 2009-12-31 Nathaniel Wagner , Emmanuel Tannenbaum , Gonen Ashkenasy

This Letter studies the quasispecies dynamics of a population capable of genetic repair evolving on a time-dependent fitness landscape. We develop a model that considers an asexual population of single-stranded, conservatively replicating…

Populations and Evolution · Quantitative Biology 2009-11-13 Pavel Gorodetsky , Emmanuel Tannenbaum

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

High Energy Physics - Theory · Physics 2009-10-30 I. D. Lawrie , D. B. McKernan

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

Populations and Evolution · Quantitative Biology 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

Evolutionary dynamics in an uncorrelated rugged fitness landscape is studied in the framework of Eigen's molecular quasispecies model. We consider the case of strong selection, which is analogous to the zero temperature limit in the…

Statistical Mechanics · Physics 2007-05-23 Joachim Krug

Quasiclassical methods for non-adiabatic quantum dynamics can reveal new features of quantum effects, such as tunneling evolution, that are harder to reveal in standard treatments based on wave functions of stationary states. Here, these…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Martin Bojowald , Pip Petersen

Quasispecies theory predicts that there is a critical mutation probability above which a viral population will go extinct. Above this threshold the virus loses the ability to replicate the best adapted genotype, leading to a population…

Probability · Mathematics 2011-09-26 J. Theodore Cox , Rinaldo B. Schinazi

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

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…

Biological Physics · Physics 2009-11-07 Claus O. Wilke

The quasispecies model was introduced in 1971 by Manfred Eigen to discuss the first stages of life on Earth. It provides an appealing mathematical framework to study the evolution of populations in biology, for instance viruses. We present…

Populations and Evolution · Quantitative Biology 2016-09-20 Raphaël Cerf , Joseba Dalmau