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Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have been used recently to address open questions concerning the…

Populations and Evolution · Quantitative Biology 2020-10-14 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

Populations and Evolution · Quantitative Biology 2024-04-10 Joachim Krug , Daniel Oros

Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

Populations and Evolution · Quantitative Biology 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

A Profile Mixture Model is a model of protein evolution, describing sequence data in which sites are assumed to follow many related substitution processes on a single evolutionary tree. The processes depend in part on different amino acid…

Populations and Evolution · Quantitative Biology 2020-07-07 Samaneh Yourdkhani , Elizabeth S. Allman , John A. Rhodes

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut

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

Many models for the origin of life have focused on understanding how evolution can drive the refinement of a preexisting enzyme, such as the evolution of efficient replicase activity. Here we present a model for what was, arguably, an even…

Biomolecules · Quantitative Biology 2012-12-20 Sara Imari Walker , Martha A. Grover , Nicholas V. Hud

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

Collective cell migration plays a crucial role in numerous biological processes, including tumour growth, wound healing, and the immune response. Often, the migrating population consists of cells with various different phenotypes. This…

Populations and Evolution · Quantitative Biology 2025-04-01 Rebecca M. Crossley , Philip K. Maini , Ruth E. Baker

We investigate the distribution of flavonoids, a major category of plant secondary metabolites, across species. Flavonoids are known to show high species specificity, and were once considered as chemical markers for understanding adaptive…

Molecular Networks · Quantitative Biology 2009-04-23 Kazuhiro Takemoto , Masanori Arita

The present view of biological phenomena is based on a biochemical paradigm that development of living organisms is defined by information stored in a molecular form as some genetic code. However, new discoveries indicate that biological…

Other Quantitative Biology · Quantitative Biology 2023-11-14 Yuri K. Shestopaloff

It is proposed that the co-expression of statistically significant motifs among the sequences of a proteome is a phylogenetic trait. From the co-expression matrix of such motifs in a group of prokaryotic proteomes a suitable definition of a…

Molecular Networks · Quantitative Biology 2007-05-23 Luca Ferraro , Andrea Giansanti , Giovanni Giuliano , Vittorio Rosato

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

Populations and Evolution · Quantitative Biology 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a…

Classical Analysis and ODEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow , Jan Engelstädter

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

Genotype networks are a method used in systems biology to study the "innovability" of a set of genotypes having the same phenotype. In the past they have been applied to determine the genetic heterogeneity, and stability to mutations, of…

Populations and Evolution · Quantitative Biology 2015-06-17 Giovanni Marco Dall'Olio , Jaume Bertranpetit , Andreas Wagner , Hafid Laayouni

We introduce a new parameter to discuss the behavior of a genetic algorithm. This parameter is the mean number of exact copies of the best fit chromosomes from one generation to the next. We argue that the genetic algorithm should operate…

Neural and Evolutionary Computing · Computer Science 2015-12-04 Raphaël Cerf

A two populations mean-field monomer-dimer model including both hard-core and attractive interactions between dimers is considered. The pressure density in the thermodynamic limit is proved to satisfy a three-dimensional variational…

Mathematical Physics · Physics 2018-04-04 Diego Alberici , Emanuele Mingione

Using Monte Carlo model of biological evolution we have discovered that populations can switch between two different strategies of their genomes' evolution; Darwinian purifying selection and complementing the haplotypes. The first one is…

Populations and Evolution · Quantitative Biology 2009-11-13 Marta Zawierta , Wojciech Waga , Dorota Mackiewicz , Przemyslaw Biecek , Stanislaw Cebrat