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Questions on possible relationship between phenotypic plasticity and evolvability, as well as that between robustness and evolution have been addressed over decades in the field of evolution-development. By introducing an evolutionary…

Populations and Evolution · Quantitative Biology 2008-07-22 Kunihiko Kaneko

When a collection of phenotypically diverse organisms compete with each other for limited resources, with competition being strongest amongst the most similar, the population can evolve into tightly localised clusters. This process can be…

Populations and Evolution · Quantitative Biology 2012-05-16 Tim Rogers , Alan J. McKane , Axel G. Rossberg

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

Environment plays a fundamental role in the competition for resources, and hence in the evolution of populations. Here, we study a well-mixed, finite population consisting of two strains competing for the limited resources provided by an…

Populations and Evolution · Quantitative Biology 2017-10-16 Karl Wienand , Erwin Frey , Mauro Mobilia

Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in…

Analysis of PDEs · Mathematics 2015-06-18 Alexander Lorz , Benoit Perthame

How adaptive evolution to one environmental stress improves or suppresses adaptation to another is an important problem in evolutionary biology. For instance, in microbiology, the evolution of bacteria to be resistant to different…

Populations and Evolution · Quantitative Biology 2023-02-23 Takuya U. Sato , Chikara Furusawa , Kunihiko Kaneko

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Stefan Bornholdt

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

Populations and Evolution · Quantitative Biology 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

The possibility of complicated dynamic behaviour driven by non-linear feedbacks in dynamical systems has revolutionized science in the latter part of the last century. Yet despite examples of complicated frequency dynamics, the possibility…

Populations and Evolution · Quantitative Biology 2017-02-07 Iaroslav Ispolatov , Michael Doebeli

The relationship between genotype and phenotype plays a crucial role in determining the function and robustness of biological systems. Here the evolution progresses through the change in genotype, whereas the selection is based on the…

Populations and Evolution · Quantitative Biology 2025-02-18 Tuan Minh Pham , Kunihiko Kaneko

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

Cell Behavior · Quantitative Biology 2016-12-05 Krishna Garikipati

An equation describing the evolution of phenotypic distribution is derived using methods developed in statistical physics. The equation is solved by using the singular perturbation method, and assuming that the number of bases in the…

Populations and Evolution · Quantitative Biology 2009-11-13 Katsuhiko Sato , Kunihiko Kaneko

The theory of life history evolution provides a powerful framework to understand the evolutionary dynamics of pathogens in both epidemic and endemic situations. This framework, however, relies on the assumption that pathogen populations are…

Populations and Evolution · Quantitative Biology 2017-11-28 Todd Parsons , Amaury Lambert , Troy Day , Sylvain Gandon

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

Phenotypic plasticity and its evolution may help evolutionary rescue in a novel and stressful environment, especially if environmental novelty reveals cryptic genetic variation that enables the evolution of increased plasticity. However,…

Populations and Evolution · Quantitative Biology 2016-09-23 Jaime Ashander , Luis-Miguel Chevin , Marissa L. Baskett

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

Analysis of PDEs · Mathematics 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

The concept of fitness as a measure for a species's success in natural selection is central to the theory of evolution. We here investigate how reproduction rates which are not constant but vary in response to environmental fluctuations,…

Populations and Evolution · Quantitative Biology 2015-10-21 Anna Melbinger , Massimo Vergassola

We study the Tangled Nature model of macro evolution and demonstrate that the co-evolutionary dynamics produces an increasingly correlated core of well occupied types. At the same time the entire configuration of types becomes increasing…

Statistical Mechanics · Physics 2015-03-13 Dominic Jones , Henrik Jeldtoft Jensen , Paolo Sibani

Organismal phenotypes emerge from a complex set of genotypic interactions. While technological advances in sequencing provide a quantitative description of an organism's genotype, characterization of an organism's physical phenotype lags…

Biological Physics · Physics 2020-10-15 Vasyl Alba , James E. Carthew , Richard W. Carthew , Madhav Mani

We derive an expression for the variation between parallel trajectories in phenotypic evolution, extending the well known result that predicts the mean evolutionary path in adaptive dynamics or quantitative genetics. We show how this…

Populations and Evolution · Quantitative Biology 2010-04-27 Carl Boettiger , Jonathan Dushoff , Joshua S. Weitz