1.5k citations · 11.4k across the 134 of their papers we have counts for
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Spatial population genetics with fluid flow
Roberto Benzi, David R. Nelson, Suraj Shankar +2
The growth and evolution of microbial populations is often subjected to advection by fluid flows in spatially extended environments, with immediate consequences for questions of sp…
The collective effect of finite-sized inhomogeneities on the spatial spread of populations in two dimensions
Wolfram Möbius, Francesca Tesser, Kim M. J. Alards +3
The dynamics of a population expanding into unoccupied habitat has been primarily studied for situations in which growth and dispersal parameters are uniform in space or vary in on…
Nucleation of antagonistic organisms and cellular competitions on curved, inflating substrates
Maxim O. Lavrentovich, David R. Nelson
We consider the dynamics of spatially-distributed, diffusing populations of organisms with antagonistic interactions. These interactions are found on many length scales, ranging fr…
Fixation Probabilities in Weakly Compressible Fluid Flows
Abigail Plummer, Roberto Benzi, David R. Nelson +1
Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the c…
Population Genetics with Fluctuating Population Sizes
Thiparat Chotibut, David R. Nelson
Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population s…
Striated Populations in Disordered Environments with Advection
Thiparat Chotibut, David R. Nelson, Sauro Succi
Growth in static and controlled environments such as a Petri dish can be used to study the spatial population dynamics of microorganisms. However, natural populations such as marin…
Evolutionary Dynamics with Fluctuating Population Sizes and Strong Mutualism
Thiparat Chotibut, David R. Nelson
Game theory ideas provide a useful framework for studying evolutionary dynamics in a well-mixed environment. This approach, however, typically enforces a strictly fixed overall pop…
Survival Probabilities at Spherical Frontiers
Maxim O. Lavrentovich, David R. Nelson
Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range ex…
Genetic drift opposes mutualism during spatial population expansion
Melanie JI Muller, Beverly I Neugeboren, David R Nelson +1
Mutualistic interactions benefit both partners, promoting coexistence and genetic diversity. Spatial structure can promote cooperation, but spatial expansions may also make it hard…
Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions
Maxim O. Lavrentovich, David R. Nelson
Genetic drift at the frontiers of two-dimensional range expansions of microorganisms can frustrate local cooperation between different genetic variants, demixing the population int…
Growth, competition and cooperation in spatial population genetics
Simone Pigolotti, Roberto Benzi, Prasad Perlekar Mogens H. Jensen +2
We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population ge…
Selective sweeps in growing microbial colonies
Kirill S Korolev, Melanie J I Müller, Nilay Karahan +3
Evolutionary experiments with microbes are a powerful tool to study mutations and natural selection. These experiments, however, are often limited to the well-mixed environments of…
Supplementary information for "Selective sweeps in growing microbial colonies"
Kirill S Korolev, Melanie J I Müller, Nilay Karahan +3
This is supplementary information for arXiv:1204.4896, which also appeared in Physical Biology 9, 026008 (2012). Main text abstract: Evolutionary experiments with microbes are a po…
Population dynamics in compressible flows
Roberto Benzi, Mogens H. Jensen, David R. Nelson +3
Organisms often grow, migrate and compete in liquid environments, as well as on solid surfaces. However, relatively little is known about what happens when competing species are mi…
A Quantitative Test of Population Genetics Using Spatio-Genetic Patterns in Bacterial Colonies
Kirill S. Korolev, Joao B. Xavier, David R. Nelson +1
It is widely accepted that population genetics theory is the cornerstone of evolutionary analyses. Empirical tests of the theory, however, are challenging because of the complex re…
Population genetics in compressible flows
Simone Pigolotti, Roberto Benzi, Mogens H. Jensen +1
We study competition between two biological species advected by a compressible velocity field. Individuals are treated as discrete Lagrangian particles that reproduce or die in a d…
Competition and cooperation in one-dimensional stepping stone models
K. S. Korolev, David R. Nelson
Cooperative mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well-known, the…
Genetic Demixing and Evolutionary Forces in the One-Dimensional Stepping Stone Model
K. S. Korolev, Mikkel Avlund, Oskar Hallatschek +1
We review and extend results for mutation, selection, genetic drift, and migration in a one-dimensional continuous population. The population is described by a continuous limit of…
Fisher equation with turbulence in one dimension
Roberto Benzi, David R. Nelson
We investigate the dynamics of the Fisher equation for the spreading of micro-organisms in one dimension subject to both turbulent convection and diffusion. We show that for strong…
Genetic drift at expanding frontiers promotes gene segregation
Oskar Hallatschek, Pascal Hersen, Sharad Ramanathan +1
Competition between random genetic drift and natural selection plays a central role in evolution: Whereas non-beneficial mutations often prevail in small populations by chance, mut…
Gene surfing
Oskar Hallatschek, David R. Nelson
Spatially resolved genetic data is increasingly used to reconstruct the migrational history of species. To assist such inference, we study, by means of simulations and analytical m…
A Quasispecies on a Moving Oasis
Michael M. Desai, David R. Nelson
A population evolving in an inhomogeneous environment will adapt differently to different regions. We study the conditions under which such a population can maintain adaptations to…