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The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed trees' which describe the relationship between extant…

Probability · Mathematics 2011-08-01 Tanja Stadler , Mike Steel

Novel technologies in genomics allow creating data in exascale dimension with relatively minor effort of human and laboratory and thus monetary resources compared to capabilities only a decade ago. While the availability of this data…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-10 Sandra Gesing , Thomas Richard Connor , Ian Taylor

Evolutionary models used for describing molecular sequence variation suppose that at a non-recombining genomic segment, sequences share ancestry that can be represented as a genealogy--a rooted, binary, timed tree, with tips corresponding…

Populations and Evolution · Quantitative Biology 2021-08-19 Julia A. Palacios , Anand Bhaskar , Filippo Disanto , Noah A. Rosenberg

Protein evolution underpins life, and understanding its behavior as a system is of great importance. However, our current models of protein evolution are arguably too simplistic to allow quantitative interpretation and prediction of…

A major aim of evolutionary biology is to explain the respective roles of adaptive versus non-adaptive changes in the evolution of complexity. While selection is certainly responsible for the spread and maintenance of complex phenotypes,…

Populations and Evolution · Quantitative Biology 2017-01-17 Thomas LaBar , Christoph Adami

Over the last fifty years, geneticists have made great strides in understanding how our species' evolutionary history gave rise to current patterns of human genetic diversity classically summarized by Lewontin in his 1972 paper, 'The…

Populations and Evolution · Quantitative Biology 2022-02-14 Shyamalika Gopalan , Samuel Patillo Smith , Katharine Korunes , Iman Hamid , Sohini Ramachandran , Amy Goldberg

A central and long-standing issue in evolutionary theory is the origin of the biological variation upon which natural selection acts1. Some hypotheses suggest that evolutionary change represents an adaptation to the surrounding environment…

Statistical Mechanics · Physics 2007-05-23 J. Podani , Z. N. Oltvai , H. Jeong , B. Tombor , A. -L. Barabasi , E. Szathmary

We investigate the distribution of flavonoids, a major category of plant secondary metabolites, across species. Flavonoids are known to show high species specificity, and were once considered as chemical markers for understanding adaptive…

Molecular Networks · Quantitative Biology 2009-04-23 Kazuhiro Takemoto , Masanori Arita

Pedigrees are directed acyclic graphs that represent ancestral relationships between individuals in a population. Based on a schematic recombination process, we describe two simple Markov models for sequences evolving on pedigrees - Model R…

Populations and Evolution · Quantitative Biology 2013-01-18 Bhalchandra D. Thatte

How do mammalian cells that share the same genome exist in notably distinct phenotypes, exhibiting differences in morphology, gene expression patterns, and epigenetic chromatin statuses? Furthermore how do cells of different phenotypes…

Molecular Networks · Quantitative Biology 2015-04-27 Jianhua Xing , Jin Yu , Hang Zhang , Xiao-Jun Tian

This work illustrates potentials for recognition within {\em ad hoc} sensor networks if their nodes possess individual inter-related biologically inspired genetic codes. The work takes ideas from natural immune systems protecting organisms…

Cryptography and Security · Computer Science 2009-12-31 Reinert Korsnes , Knut Ovsthus

We calculate the density and expectation for the number of lineages in a reconstructed tree with $n$ extant species. This is done with conditioning on the age of the tree as well as with assuming a uniform prior for the age of the tree.

Probability · Mathematics 2007-11-05 Tanja Gernhard , Dennis Wong

The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

Populations and Evolution · Quantitative Biology 2025-08-12 Andrew Francis

The complex pattern of presence and absence of many genes across different species provides tantalising clues as to how genes evolved through the processes of gene genesis, gene loss and lateral gene transfer (LGT). The extent of LGT,…

Populations and Evolution · Quantitative Biology 2009-11-09 Leo van Iersel , Charles Semple , Mike Steel

De novo assembly is the process of reconstructing the genome sequence of an organism from sequencing reads. Genome sequences are essential to biology, and assembly has been a central problem in bioinformatics for four decades. Until…

Genomics · Quantitative Biology 2023-08-16 Heng Li , Richard Durbin

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

The biological world, especially its majority microbial component, is strongly interacting and may be dominated by collective effects. In this review, we provide a brief introduction for statistical physicists of the way in which living…

Populations and Evolution · Quantitative Biology 2015-05-20 Nicholas Chia , Nigel Goldenfeld

Gene translation is the process in which intracellular macro-molecules, called ribosomes, decode genetic information in the mRNA chain into the corresponding proteins. Gene translation includes several steps. During the elongation step,…

Genomics · Quantitative Biology 2014-07-02 Yoram Zarai , Michael Margaliot , Tamir Tuller

A common theme among the proposed models for network epidemics is the assumption that the propagating object, i.e., a virus or a piece of information, is transferred across the nodes without going through any modification or evolution.…

Physics and Society · Physics 2019-11-05 Rashad Eletreby , Yong Zhuang , Kathleen M. Carley , Osman Yağan , H. Vincent Poor

A pedigree is a directed graph that describes how individuals are related through ancestry in a sexually-reproducing population. In this paper we explore the question of whether one can reconstruct a pedigree by just observing sequence data…

Populations and Evolution · Quantitative Biology 2007-06-19 Bhalchandra D. Thatte , Mike Steel
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