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Rearrangements of bacterial chromosomes can be studied mathematically at several levels, most prominently at a local, or sequence level, as well as at a topological level. The biological changes involved locally are inversions, deletions,…

Group Theory · Mathematics 2013-12-10 Andrew R. Francis

The main statistical distributions applicable to the analysis of genome architecture and genome tracks are briefly discussed and critically assessed. Although the observed features in distributions of element lengths can be equally well…

Other Quantitative Biology · Quantitative Biology 2015-06-17 V. R. Chechetkin

Growth rate is one of the most important and most complex phenotypic characteristics of unicellular microorganisms, which determines the genetic mutations that dominate at the population level, and ultimately whether the population will…

Cell Behavior · Quantitative Biology 2019-01-23 Thomas P. Wytock , Adilson E. Motter

In this paper we develop and test algorithmic techniques to estimate genotypes fitnesses by analysis of observed daily frequency data monitoring the long-term evolution of bacterial populations. In particular, we develop a non-linear least…

Populations and Evolution · Quantitative Biology 2020-10-05 Sergey S. Sarkisov , Ilya Timofeyev , Robert Azencott

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

High-throughput genetic and epigenetic data are often screened for associations with an observed phenotype. For example, one may wish to test hundreds of thousands of genetic variants, or DNA methylation sites, for an association with…

Methodology · Statistics 2017-10-20 Eric F. Lock , David B. Dunson

Identifying drivers of complex traits from the noisy signals of genetic variation obtained from high throughput genome sequencing technologies is a central challenge faced by human geneticists today. We hypothesize that the variants…

Populations and Evolution · Quantitative Biology 2013-06-18 M. Cyrus Maher , Lawrence H. Uricchio , Dara G. Torgerson , Ryan D. Hernandez

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

With the development of high throughput sequencing technology, it becomes possible to directly analyze mutation distribution in a genome-wide fashion, dissociating mutation rate measurements from the traditional underlying assumptions.…

Genomics · Quantitative Biology 2015-05-14 D. Parkhomchuk , V. S. Amstislavskiy , A. Soldatov , V. Ogryzko

Essential genes constitute the core of genes which cannot be mutated too much nor lost along the evolutionary history of a species. Natural selection is expected to be stricter on essential genes and on conserved (highly shared) genes, than…

Genomics · Quantitative Biology 2018-05-03 Maddalena Dilucca , Giulio Cimini , Andrea Giansanti

Mapping human genetic variation is fundamentally interesting in fields such as anthropology and forensic inference. At the same time patterns of genetic diversity confound efforts to determine the genetic basis of complex disease. Due to…

Applications · Statistics 2010-07-13 Ann B. Lee , Diana Luca , Kathryn Roeder

The genome of bacterial species is much more flexible than that of eukaryotes. Moreover, the distributed genome hypothesis for bacteria states that the total number of genes present in a bacterial population is greater than the genome of…

Probability · Mathematics 2014-11-24 Franz Baumdicker , Peter Pfaffelhuber

Electronic health records (EHRs) linked with familial relationship data offer a unique opportunity to investigate the genetic architecture of complex phenotypes at scale. However, existing heritability and coheritability estimation methods…

Methodology · Statistics 2025-11-12 Yinjun Zhao , Nicholas Tatonetti , Yuanjia Wang

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

Genomics · Quantitative Biology 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

Biological cells replicate their genomes in a well-planned manner. The DNA replication program of an organism determines the timing at which different genomic regions are replicated, with fundamental consequences for cell homeostasis and…

Subcellular Processes · Quantitative Biology 2024-05-28 Florian Pflug , Deepak Bhat , Simone Pigolotti

Heritability is a central concept in the long-standing debate about nature versus nurture in biological and social sciences. However, existing notions of heritability are based on strong assumptions and do not use explicit causal models. We…

Applications · Statistics 2026-05-26 Haochen Lei , Jieru Shi , Hongyuan Cao , Qingyuan Zhao

This chapter gives a synopsis of recent approaches to model and analyse the evolution of microbial populations under selection. The first part reviews two population genetic models of Lenski's long-term evolution experiment with Escherichia…

Populations and Evolution · Quantitative Biology 2021-06-30 Ellen Baake , Anton Wakolbinger

Meiotic recombination is a fundamental feature of sexually reproducing species. It is often required for proper chromosome segregation and plays important role in adaptation and the maintenance of genetic diversity. The molecular mechanisms…

Populations and Evolution · Quantitative Biology 2024-06-05 Susan E. Johnston

Technical signs of progress during the last decades has led to a situation in which the accumulation of genome sequence data is increasingly fast and cheap. The huge amount of molecular data available nowadays can help addressing new and…

Genomics · Quantitative Biology 2017-05-02 Christophe Guyeux , Bashar Al-Nuaimi , Bassam AlKindy , Jean-François Couchot , Michel Salomon

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li