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Although the role of lateral gene transfer is well recognized in the evolution of bacteria, it is generally assumed that it has had less influence among eukaryotes. To explore this hypothesis we compare the dynamics of genome evolution in…

Populations and Evolution · Quantitative Biology 2015-07-16 Gergely J. Szöllősi , Adrián Arellano Davín , Eric Tannier , Vincent Daubin , Bastien Boussau

We study the dynamics of genetic code evolution. The model of Vetsigian et al. [1] and Vetsigian [2] uses the mechanism of horizontal gene transfer to demonstrate convergence of the genetic code to a near universal solution. We reproduce…

Other Quantitative Biology · Quantitative Biology 2021-05-26 John-Antonio Argyriadis , Yang-Hui He , Vishnu Jejjala , Djordje Minic

The interpretation of recent environmental genomics data exposes the far-reaching influence of horizontal gene transfer, and is changing our basic concepts of organism, species and evolution itself.

Populations and Evolution · Quantitative Biology 2009-07-14 Nigel Goldenfeld , Carl Woese

Background: Heritability is a central measure in genetics quantifying how much of the variability observed in a trait is attributable to genetic differences. Existing methods for estimating heritability are most often based on random-effect…

Applications · Statistics 2022-08-26 The Tien Mai , Paul Turner , Jukka Corander

Bacteria are known to exchange genetic information by horizontal gene transfer. Since the frequency of homologous recombination depends on the similarity of recombining segments, several studies examined whether this could lead to the…

Probability · Mathematics 2015-06-09 Sergey Pirogov , Aleksandre Rybko , Anastasia Kalinina , Mikhail Gelfand

Stochastic contact Hamiltonian systems are a class of important mathematical models, which can describe the dissipative properties with odd dimensions in the stochastic environment. In this article, we investigate the numerical dynamics of…

Numerical Analysis · Mathematics 2024-11-19 Qingyi Zhan , Jinqiao Duan , Xiaofan Li , Lijin Wang

It has been hypothesized that in the era just before the last universal common ancestor emerged, life on earth was fundamentally collective. Ancient life forms shared their genetic material freely through massive horizontal gene transfer…

Populations and Evolution · Quantitative Biology 2015-11-18 Hinrich Arnoldt , Steven H. Strogatz , Marc Timme

Between-species coevolution, and in particular antagonistic host-parasite coevolution, is a major process shaping within-species diversity. In this paper we investigate the role of various stochastic processes affecting the outcome of the…

Populations and Evolution · Quantitative Biology 2020-12-08 Wolfgang Stephan , Aurélien Tellier

Horizontal gene transfer events partition a gene tree $T$ and thus, its leaf set into subsets of genes whose evolutionary history is described by speciation and duplication events alone. Indirect phylogenetic methods can be used to infer…

Discrete Mathematics · Computer Science 2021-12-02 David Schaller , Marc Hellmuth , Peter F. Stadler

Antimicrobial resistance (AMR) poses a significant threat to public health by increasing mortality, extending hospital stays, and increasing healthcare costs. It affects people of all ages and affects health services, veterinary medicine,…

Dynamical Systems · Mathematics 2023-06-12 Alissen Peterson , Jhoana P. Romero-Leiton , Pablo Aguirre , Kamal R. Acharya , Bouchra Nasri

This contribution is concerned with mathematical models for the dynamics of the genetic composition of populations evolving under recombination. Recombination is the genetic mechanism by which two parent individuals create the mixed type of…

Populations and Evolution · Quantitative Biology 2011-01-12 Ellen Baake

Adaptation of bacteria occurs predominantly via horizontal gene transfer (HGT). While it is widely recognized that horizontal acquisitions frequently encompass multiple genes, it is unclear what the size distribution of successfully…

Genomics · Quantitative Biology 2016-11-16 Tin Y Pang , Martin Lercher

The interplay between stochastic processes and optimal control has been extensively explored in the literature. With the recent surge in the use of diffusion models, stochastic processes have increasingly been applied to sample generation.…

Machine Learning · Computer Science 2024-10-10 Tingwei Meng , Zongren Zou , Jérôme Darbon , George Em Karniadakis

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

Probability · Mathematics 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a…

Classical Analysis and ODEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow , Jan Engelstädter

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

We study simple mathematical models of gene expression to explore the possible origins of haploinsufficiency (HI). In a diploid organism, each gene exists in two copies and when one of these is mutated, the amount of proteins synthesized is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Indrani Bose , Rajesh Karmakar

The expression of genes usually follows a two-step procedure. First, a gene (encoded in the genome) is transcribed resulting in a strand of (messenger) RNA. Afterwards, the RNA is translated into protein. Classically, this gene expression…

Molecular Networks · Quantitative Biology 2014-08-08 Martin Jansen , Peter Pfaffelhuber

Cell fate determination, the process through which cells commit to differentiated states is commonly mediated by gene regulatory motifs with mutually exclusive expression states. The classical deterministic picture for cell fate…

Molecular Networks · Quantitative Biology 2019-10-09 Manuel Pájaro , Irene Otero-Muras , Carlos Vázquez , Antonio A. Alonso