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Large populations may contain numerous simultaneously segregating polymorphisms subject to natural selection. Since selection acts on individuals whose fitness depends on many loci, different loci affect each other's dynamics. This leads to…

Populations and Evolution · Quantitative Biology 2011-08-09 Richard A. Neher , Boris I. Shraiman

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 spatial population genetics in marine ecology, planktonic…

Populations and Evolution · Quantitative Biology 2022-08-26 Roberto Benzi , David R. Nelson , Suraj Shankar , Federico Toschi , Xiaojue Zhu

We study the problem of synthetic generation of samples of environmental features for autonomous vehicle navigation. These features are described by a spatiotemporally varying scalar field that we refer to as a threat field. The threat…

Machine Learning · Computer Science 2025-03-11 Nachiket U. Bapat , Randy C. Paffenroth , Raghvendra V. Cowlagi

Deep generative models open new avenues for simulating realistic genomic data while preserving privacy and addressing data accessibility constraints. While previous studies have primarily focused on generating gene expression or haplotype…

Genomics · Quantitative Biology 2025-08-14 Sihan Xie , Thierry Tribout , Didier Boichard , Blaise Hanczar , Julien Chiquet , Eric Barrey

As organisms are faced with intense rapidly changing selective pressures, new genetic material is required to facilitate adaptation. Among sources of genetic novelty, gene duplications and transposable elements (TEs) offer new genes or new…

Gene duplications are one of major primary driving forces for evolutionary novelty. We took population genetics models of genes duplicate to study how evolutionary forces acting during the fixation of mutant allele at duplicate loci. We…

Populations and Evolution · Quantitative Biology 2012-03-19 Yupeng Cun

We typically think of cells as responding to external signals independently by regulating their gene expression levels, yet they often locally exchange information and coordinate. Can such spatial coupling be of benefit for conveying…

Molecular Networks · Quantitative Biology 2015-01-19 Thomas R. Sokolowski , Gašper Tkačik

Many questions that we have about the history and dynamics of organisms have a geographical component: How many are there, and where do they live? How do they move and interbreed across the landscape? How were they moving a thousand years…

Populations and Evolution · Quantitative Biology 2019-11-28 Gideon S. Bradburd , Peter L. Ralph

We propose a discrete latent distribution for Generative Adversarial Networks (GANs). Instead of drawing latent vectors from a continuous prior, we sample from a finite set of learnable latents. However, a direct parametrization of such a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Evangelos Ntavelis , Mohamad Shahbazi , Iason Kastanis , Radu Timofte , Martin Danelljan , Luc Van Gool

Species distribution models (SDMs) aim to predict the distribution of species by relating occurrence data with environmental variables. Recent applications of deep learning to SDMs have enabled new avenues, specifically the inclusion of…

Machine Learning · Computer Science 2024-11-07 Nina van Tiel , Robin Zbinden , Emanuele Dalsasso , Benjamin Kellenberger , Loïc Pellissier , Devis Tuia

This paper explores the challenges and benefits of a trainable destruction process in diffusion samplers -- diffusion-based generative models trained to sample an unnormalised density without access to data samples. Contrary to the majority…

Normal and anomalous diffusion are ubiquitous in many complex systems [1] . Here, we define a time and space generalized diffusion equation (GDE), which uses fractional-time derivatives and transformed d-path Laplacian operators on…

Physics and Society · Physics 2022-02-02 Fernando Diaz-Diaz , Ernesto Estrada

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

Populations and Evolution · Quantitative Biology 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

A strong demographic Allee effect in which the expected population growth rate is negative below a certain critical population size can cause high extinction probabilities in small introduced populations. However, many species are…

Populations and Evolution · Quantitative Biology 2013-11-22 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

Genomic regions (or loci) displaying outstanding correlation with some environmental variables are likely to be under selection and this is the rationale of recent methods of identifying selected loci and retrieving functional information…

Populations and Evolution · Quantitative Biology 2013-08-13 Gilles Guillot

We consider two processes that have been used to study gene duplication, Watterson's [Genetics 105 (1983) 745--766] double recessive null model and Lynch and Force's [Genetics 154 (2000) 459--473] subfunctionalization model. Though the…

Probability · Mathematics 2009-03-02 Rick Durrett , Lea Popovic

A genetic switch may be realised by a certain operator sector on the DNA strand from which either genetic code, to the left or to the right of this operator sector, can be transcribed and the corresponding information processed. This switch…

Statistical Mechanics · Physics 2013-01-24 Ralf Metzler

In population genetics, diffusions on the unit interval are often used to model the frequency path of an allele. In this setting we derive approximations for fixation probabilities, expected hitting times and the expected…

Probability · Mathematics 2018-09-18 Peter Pfaffelhuber , Anton Wakolbinger

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

Dynamical Systems · Mathematics 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Early theoretical work revealed that the simplest class of autocatalytic cycles, known as hypercycles, provide an elegant framework for understanding the evolution of mutualism. Furthermore, hypercycles are highly susceptible to parasites,…

Biological Physics · Physics 2017-11-01 Daniel R. Amor , Raúl Montañez , Salva Duran-Nebreda , Ricard Solé