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We demonstrate with a thought experiment that fitness-based population dynamical approaches to evolution are not able to make quantitative, falsifiable predictions about the long-term behavior of evolutionary systems. A key characteristic…

Populations and Evolution · Quantitative Biology 2015-05-14 Peter Klimek , Stefan Thurner , Rudolf Hanel

Rigidity is an emergent property of materials - it is not a feature of individual components that comprise the structure, but instead arises from interactions between many constituent parts. Recently, it has been recognized that…

Soft Condensed Matter · Physics 2025-08-27 Kelly Aspinwall , Tyler Hain , M. Lisa Manning

Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection and are called adaptive traits and carriers of the latter…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Yosef Cohen

The effect of phenotypic plasticity on evolution, the so-called Baldwin effect, has been studied extensively for more than 100 years. Plasticity is known to influence the speed of evolution towards a specific genetic configuration, but…

Populations and Evolution · Quantitative Biology 2017-12-27 Stefano Bennati , Leonel Aguilar , Dirk Helbing

Understanding the observed variability in the number of homologs of a gene is a very important, unsolved problem that has broad implications for research into co-evolution of structure and function, gene duplication, pseudogene formation…

Biomolecules · Quantitative Biology 2007-05-23 Boris Shakhnovich , Eric Deeds , Charles Delisi , Eugene Shakhnovich

Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a…

Populations and Evolution · Quantitative Biology 2012-09-13 Hinrich Arnoldt , Marc Timme , Stefan Grosskinsky

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

Populations and Evolution · Quantitative Biology 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes the population front and the evolutionary…

Populations and Evolution · Quantitative Biology 2018-11-26 Daniel A. Beller , Kim M. J. Alards , Francesca Tesser , Ricardo A. Mosna , Federico Toschi , Wolfram Möbius

By defining the phenotype of a biopolymer by its active three-dimensional shape, and its genotype by its primary sequence, we propose a model that predicts and characterizes the statistical distribution of a population of biopolymers with a…

Biological Physics · Physics 2009-11-10 F. Bardou , L. Jaeger

In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution within the prey population is the result of interplay…

Populations and Evolution · Quantitative Biology 2019-03-27 József Z. Farkas , A. Yu. Morozov

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

Epistasis describes the phenomenon that mutations at different loci do not have independent effects with regard to certain phenotypes. Understanding the global epistatic landscape is vital for many genetic and evolutionary theories. Current…

Molecular Networks · Quantitative Biology 2015-02-11 Brandon Barker , Lin Xu , Zhenglong Gu

Both external environmental selection and internal lower-level evolution are essential for an integral picture of evolution. This paper proposes that the division of internal evolution into DNA/RNA pattern formation (genotype) and protein…

Populations and Evolution · Quantitative Biology 2009-12-14 Simon Fu

The evolutionary balance between innate and learned behaviors is highly intricate, and different organisms have found different solutions to this problem. We hypothesize that the emergence and exact form of learning behaviors is naturally…

Neurons and Cognition · Quantitative Biology 2023-03-14 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

Organisms adapt to fluctuating environments by regulating their dynamics, and by adjusting their phenotypes to environmental changes. We model population growth using multitype branching processes in random environments, where the offspring…

Probability · Mathematics 2009-12-08 Clément Dombry , Christian Mazza , Vincent Bansaye

Robots operating in the real world will experience a range of different environments and tasks. It is essential for the robot to have the ability to adapt to its surroundings to work efficiently in changing conditions. Evolutionary robotics…

Robotics · Computer Science 2020-10-21 Tønnes F. Nygaard , Charles P. Martin , David Howard , Jim Torresen , Kyrre Glette

A central goal in ecology is to understand how biodiversity is maintained. Previous theoretical works have employed the rock-paper-scissors (RPS) game as a toy model, demonstrating that population mobility is crucial in determining the…

Populations and Evolution · Quantitative Biology 2026-05-21 Kaiwen Jiang , Chenyang Zhao , Shengfeng Deng , Weiran Cai , Jiqiang Zhang , Li Chen

Phenotypic evolution implies sequential fixations of new genomic sequences. The speed at which these mutations fixate depends, in part, on the relative fitness (selection coefficient) of the mutant vs. the ancestor. Using a simple…

Populations and Evolution · Quantitative Biology 2014-02-04 Sorin Tanase-Nicola , Ilya Nemenman

A fitness landscape is a genetic space -- with two genotypes adjacent if they differ in a single locus -- and a fitness function. Evolutionary dynamics produce a flow on this landscape from lower fitness to higher; reaching equilibrium only…

Populations and Evolution · Quantitative Biology 2013-08-26 Artem Kaznatcheev

The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa