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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 studied a relations between the triplet frequency composition of mitochondria genomes, and the phylogeny of their bearers. First, the clusters in 63dimensional space were developed due to $K$-means. Second, the clade composition of those…

Genomics · Quantitative Biology 2014-05-21 Michael G. Sadovsky

The continuity of life and its evolution, we proposed, emerge from an interactive group process manifested in networks of interaction. We term this process \textit{survival-of-the-fitted}. Here, we reason that survival of the fitted results…

Neural and Evolutionary Computing · Computer Science 2025-06-17 Irun R. Cohen , Assaf Marron

We present a statistical model of bacterial evolution based on the coupling between codon usage and tRNA abundance. Such a model interprets this aspect of the evolutionary process as a balance between the codon homogenization effect due to…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Pietro Lio'

We have presented the basic knowledge on the structure of molecules coding the genetic information, mechanisms of transfer of this information from DNA to proteins and phenomena connected with replication of DNA. In particular, we have…

Genomics · Quantitative Biology 2009-09-30 Dorota Mackiewicz , Stanislaw Cebrat

The genetic code structure into distinct multiplet-classes as well as the numeric degeneracies of the latter are revealed by a two-step process. First, an empirical inventory of the degeneracies (of the shuffled multiplets) in two specific…

Other Quantitative Biology · Quantitative Biology 2009-11-13 Tidjani Negadi

In special coordinates (codon position--specific nucleotide frequencies) bacterial genomes form two straight lines in 9-dimensional space: one line for eubacterial genomes, another for archaeal genomes. All the 348 distinct bacterial…

Genomics · Quantitative Biology 2007-11-13 A. N. Gorban , A. Yu. Zinovyev

Molecular phylogeny has focused mainly on improving models for the reconstruction of gene trees based on sequence alignments. Yet, most phylogeneticists seek to reveal the history of species. Although the histories of genes and species are…

Populations and Evolution · Quantitative Biology 2013-11-05 Gergely J. Szöllosi , Eric Tannier , Vincent Daubin , Bastien Boussau

Degeneracy is a salient feature of genetic codes, because there are more codons than amino acids. The conventional table for genetic codes suffers from an inability of illustrating a symmetrical nature among genetic base codes. In fact,…

Other Quantitative Biology · Quantitative Biology 2017-03-13 Jian-Jun Shu

By unifying three foundational principles of modern biology, we develop a mathematical framework to analyze the growing tree of life. Contrary to the static case, where the analogy between phylogenetic trees and the tree that grows in soil…

Populations and Evolution · Quantitative Biology 2025-10-01 Kevin Hudnall , Raissa D'Souza

The coding space of protein sequences is shaped by evolutionary constraints set by requirements of function and stability. We show that the coding space of a given protein family--the total number of sequences in that family--can be…

Biomolecules · Quantitative Biology 2020-11-20 Jacopo Marchi , Ezequiel A. Galpern , Rocio Espada , Diego U. Ferreiro , Aleksandra M. Walczak , Thierry Mora

Most amino acids are encoded by multiple synonymous codons. For an amino acid, some of its synonymous codons are used much more rarely than others. Analyses of positions of such rare codons in protein sequences revealed that rare codons can…

Molecular Networks · Quantitative Biology 2019-07-09 Khalique Newaz , Gabriel Wright , Jacob Piland , Jun Li , Patricia Clark , Scott Emrich , Tijana Milenkovic

The persistence of life requires populations to adapt at a rate commensurate with the dynamics of their environment. Successful populations that inhabit highly variable environments have evolved mechanisms to increase the likelihood of…

Genomics · Quantitative Biology 2007-05-23 Taison Tan , Leonard D. Bogarad , Michael W. Deem

The interactions between DNA, RNA, and proteins are fundamental to biological processes, as illustrated by the central dogma of molecular biology. Although modern biological pre-trained models have achieved great success in analyzing these…

Machine Learning · Computer Science 2025-12-02 Zicheng Liu , Siyuan Li , Zhiyuan Chen , Chang Yu , Qirong Yang , Yucheng Guo , Yujie Yang , Xiaoming Zhang , Stan Z. Li

Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along the branches of a species tree through various mechanisms,…

Combinatorics · Mathematics 2019-05-14 Cedric Chauve , Yann Ponty , Michael Wallner

Evolution consists of distinct stages: cosmological, biological, linguistic. Since biology verges on natural sciences and linguistics, we expect that it shares structures and features from both forms of knowledge. Indeed, in DNA we…

Other Quantitative Biology · Quantitative Biology 2019-10-01 Argyris Nicolaidis , Fotis Psomopoulos

During the course of evolution, an organism's genome can undergo changes that affect the large-scale structure of the genome. These changes include gene gain, loss, duplication, chromosome fusion, fission, and rearrangement. When gene gain…

Genomics · Quantitative Biology 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

Diversity is an important factor in evolutionary algorithms to prevent premature convergence towards a single local optimum. In order to maintain diversity throughout the process of evolution, various means exist in literature. We analyze…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

Speciation is of fundamental importance to understanding the huge diversity of life on Earth. In contrast to current phenomenological models, we develop a biophysically motivated approach to study speciation involving the co-evolution of…

Populations and Evolution · Quantitative Biology 2015-05-18 Bhavin S. Khatri , Richard A. Goldstein