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Background: Analysing tumour architecture for metastatic potential usually focuses on phenotypic differences due to cellular morphology or specific genetic mutations, but often ignore the cell's position within the heterogeneous…

Populations and Evolution · Quantitative Biology 2015-01-23 Artem Kaznatcheev , Jacob G. Scott , David Basanta

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

We introduce an evolutionary metacommunity of multitrophic food webs on several habitats coupled by migration. In contrast to previous studies that focus either on evolutionary or on spatial aspects, we include both and investigate the…

Populations and Evolution · Quantitative Biology 2018-04-20 Korinna T. Allhoff , Eva Marie Weiel , Tobias Rogge , Barbara Drossel

Species sharing a habitat will co-evolve to make use of the available resources, as consumption is modulated by competition and negative feedback loops between consumers and resources. The dietary range of a given species determines the…

Populations and Evolution · Quantitative Biology 2026-05-28 Elliot M. Butterworth , Tim Rogers

Habitat fragmentation, often driven by human activities, alters ecological landscapes by disrupting connectivity and reshaping species interactions. In such fragmented environments, habitats can be modeled as networks, where individuals…

Populations and Evolution · Quantitative Biology 2025-11-07 James Austin Orgeron , Malbor Asllani

When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluctuations in allele frequencies occur through stochastic…

Biological Physics · Physics 2018-12-24 Sherry Chu , Mehran Kardar , David R. Nelson , Daniel A. Beller

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

Range expansion and range shifts are crucial population responses to climate change. Genetic consequences are not well understood but are clearly coupled to ecological dynamics that, in turn, are driven by shifting climate conditions. We…

Populations and Evolution · Quantitative Biology 2016-09-29 Jimmy Garnier , Mark Lewis

Rare evolutionary events, such as the rise to prominence of deleterious mutations, can have drastic impacts on the evolution of growing populations. Heterogeneous environments may reduce the influence of selection on evolutionary outcomes…

Populations and Evolution · Quantitative Biology 2024-10-10 Jimmy Gonzalez Nuñez , Daniel A. Beller

Surface tension governed by differential adhesion can drive fluid particle mixtures to sort into separate regions, i.e., demix. Does the same phenomenon occur in confluent biological tissues? We begin to answer this question for epithelial…

The compartmentalization of distinct templates in protocells and the exchange of templates between them (migration) are key elements of a modern scenario for prebiotic evolution. Here we use the diffusion approximation of population…

Populations and Evolution · Quantitative Biology 2014-03-27 Jose F. Fontanari , Maurizio Serva

Occupancy of new habitats through dispersion is a central process in nature. In particular, long range dispersal is involved in the spread of species and epidemics, although it has not been previously related with cancer invasion, a process…

Populations and Evolution · Quantitative Biology 2009-02-16 D. E. Marco , S. A. Cannas , M. A. Montemurro , B. Hu , S. Cheng

Evolutionary dynamics and patterns of molecular evolution are strongly influenced by selection on linked regions of the genome, but our quantitative understanding of these effects remains incomplete. Recent work has focused on predicting…

Populations and Evolution · Quantitative Biology 2013-05-29 Benjamin H. Good , Michael M. Desai

Most organisms grow in space, whether they are viruses spreading within a host tissue or invasive species colonizing a new continent. Evolution typically selects for higher expansion rates during spatial growth, but it has been suggested…

Populations and Evolution · Quantitative Biology 2022-05-18 Hyunseok Lee , Jeff Gore , Kirill S. Korolev

Both evolution and ecology have long been concerned with the impact of variable environmental conditions on observed levels of genetic diversity within and between species. We model the evolution of a quantitative trait under selection that…

Populations and Evolution · Quantitative Biology 2014-11-17 Hannes Svardal , Claus Rueffler , Joachim Hermisson

This survey focuses on the most important aspects of the mathematical theory of population genetic models of selection and migration between discrete niches. Such models are most appropriate if the dispersal distance is short compared to…

Populations and Evolution · Quantitative Biology 2019-12-13 Reinhard Bürger

Evolution depends on the possibility of successfully exploring fitness landscapes via mutation and recombination. With these search procedures, exploration is difficult in "rugged" fitness landscapes, where small mutations can drastically…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Carlos Gershenson , Stuart A. Kauffman , Ilya Shmulevich

We consider a fixed size population that undergoes an evolutionary adaptation in the weak mutuation rate limit, which we model as a biased Langevin process in the genotype space. We show analytically and numerically that, if the fitness…

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

The evolution of dispersal is a classical question in evolutionary ecology, which has been widely studied with several mathematical models. The main question is to define the fittest dispersal rate for a population in a bounded domain, and,…

Analysis of PDEs · Mathematics 2016-02-26 Benoit Perthame , Panagiotis E. Souganidis