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Migrations have played an important role in shaping the genetic diversity of human populations. Understanding genomic data thus requires careful modeling of historical gene flow. Here we consider the effect of relatively recent population…

Populations and Evolution · Quantitative Biology 2012-04-26 Simon Gravel

Modern biological techniques enable very dense genetic sampling of unfolding evolutionary histories, and thus frequently sample some genotypes multiple times. This motivates strategies to incorporate genotype abundance information in…

Populations and Evolution · Quantitative Biology 2018-04-09 William S. DeWitt , Luka Mesin , Gabriel D. Victora , Vladimir N. Minin , Frederick A. Matsen

The evolution of the hemagglutinin amino acids sequences of Influenza A virus is studied by a method based on an informational metrics, originally introduced by Rohlin for partitions in abstract probability spaces. This metrics does not…

Populations and Evolution · Quantitative Biology 2015-06-03 Raffaella Burioni , Riccardo Scalco , Mario Casartelli

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

Populations and Evolution · Quantitative Biology 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

One can often make inferences about a growing network from its current state alone. For example, it is generally possible to determine how a network changed over time or pick among plausible mechanisms explaining its growth. In practice,…

Social and Information Networks · Computer Science 2021-01-27 George T. Cantwell , Guillaume St-Onge , Jean-Gabriel Young

Adaptation of asexual populations is driven by beneficial mutations and therefore the dynamics of this process, besides other factors, depend on the distribution of beneficial fitness effects. It is known that on uncorrelated fitness…

Populations and Evolution · Quantitative Biology 2016-08-05 Sona John , Sarada Seetharaman

Many biological characteristics of evolutionary interest are not scalar variables but continuous functions. Here we use phylogenetic Gaussian process regression to model the evolution of simulated function-valued traits. Given…

The ability to predict the evolution of a pathogen would significantly improve the ability to control, prevent, and treat disease. Despite significant progress in other problem spaces, deep learning has yet to contribute to the issue of…

Quantitative Methods · Quantitative Biology 2020-08-28 Daniel S. Berman , Craig Howser , Thomas Mehoke , Jared D. Evans

Consider a branching process with a homogeneous reproduction law. Sampling a single cell uniformly from the population at a time $T > 0$ and looking along the sampled cell's ancestral lineage, we find that the reproduction law is…

Populations and Evolution · Quantitative Biology 2022-05-30 David Cheek , Samuel G. G. Johnston

We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model, that we shall call the exponential model, the…

Disordered Systems and Neural Networks · Physics 2009-11-13 E. Brunet , B. Derrida , A. H. Mueller , S. Munier

RNA virus populations will undergo processes of mutation and selection resulting in a mixed population of viral particles. High throughput sequencing of a viral population subsequently contains a mixed signal of the underlying clones. We…

Populations and Evolution · Quantitative Biology 2014-07-31 Donatien Fotso-Chedom , Pablo R. Murcia , Chris D. Greenman

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

Populations and Evolution · Quantitative Biology 2015-06-11 Daniel S. Fisher

We describe a new and computationally efficient Bayesian methodology for inferring species trees and demographics from unlinked binary markers. Likelihood calculations are carried out using diffusion models of allele frequency dynamics…

Populations and Evolution · Quantitative Biology 2019-09-18 Marnus Stoltz , Boris Bauemer , Remco Bouckaert , Colin Fox , Gordon Hiscott , David Bryant

We consider a branching model in discrete time where each individual has a trait in some general state space. Both the reproduction law and the trait inherited by the offsprings may depend on the trait of the mother and the environment. We…

Probability · Mathematics 2013-11-26 Vincent Bansaye

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

We propose a model for evolution aiming to reproduce statistical features of fossil data, in particular the distributions of extinction events, the distribution of species per genus and the distribution of lifetimes, all of which are known…

Populations and Evolution · Quantitative Biology 2008-06-06 Peter Klimek , Stefan Thurner , Rudolf Hanel

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

We introduce and discuss a minimal individual-based model for influenza dynamics. The model takes into account the effects of specific immunization against viral strains, but also infectivity randomness and the presence of a short-lived…

Populations and Evolution · Quantitative Biology 2009-11-11 Francesca Tria , Michael Laessig , Luca Peliti , Silvio Franz

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

Populations and Evolution · Quantitative Biology 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich