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Statistics of distinguishable particles has become relevant in systems of colloidal particles and in the context of applications of statistical mechanics to complex networks. When studying these type of systems with the standard textbook…

Statistical Mechanics · Physics 2016-08-24 A. Fernandez-Peralta , Raul Toral

This work is an enquiry into the circumstances under which entropy methods can give an answer to the questions of both quantum separability and classical correlations of a composite state. Several entropy functionals are employed to examine…

Quantum Physics · Physics 2009-11-07 A. K. Rajagopal , R. W. Rendell

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

The DNA storage channel is considered, in which a codeword is comprised of $M$ unordered DNA molecules. At reading time, $N$ molecules are sampled with replacement, and then each molecule is sequenced. A coded-index concatenated-coding…

Information Theory · Computer Science 2022-05-23 Nir Weinberger

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'

Although several synonymous codons can encode the same aminoacid, this symmetry is generally broken in natural genetic systems. In this article, we show that the symmetry breaking can result from selective pressures due to the violation of…

adap-org · Physics 2008-02-03 S. Vera , H. Waelbroeck

Genome wide comparisons between enteric bacteria yield large sets of conserved putative regulatory sites on a gene by gene basis that need to be clustered into regulons. Using the assumption that regulatory sites can be represented as…

Biological Physics · Physics 2009-11-07 Erik van Nimwegen , Mihaela Zavolan , Nikolaus Rajewsky , Eric D. Siggia

The similarity of local atomic environments is an important concept in many machine-learning techniques which find applications in computational chemistry and material science. Here, we present and discuss a connection between the…

Chemical Physics · Physics 2026-03-03 Alexander Croy

Chromosome analysis and identification from metaphase images is a critical part of cytogenetics based medical diagnosis. It is mainly used for identifying constitutional, prenatal and acquired abnormalities in the diagnosis of genetic…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Amritha S Pallavoor , Prajwal A , Sundareshan TS , Sreekanth K Pallavoor

Modelising the translation errors by suitable mathematical operators in the crystal basis model of the genetic code and requiring that codons prone to be misread encode the same amino-acid, the main features of the organisation in…

Mathematical Physics · Physics 2007-05-23 A. Sciarrino

We introduce a novel approach, inspired from the theory of renewal processes, to determine the configurational entropy of ensembles of constrained configurations of particles on the one-dimensional lattice. The proposed method can deal with…

Statistical Mechanics · Physics 2023-05-31 P. L. Krapivsky , J. M. Luck

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

Disordered Systems and Neural Networks · Physics 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

Recognition of pathogens relies on families of proteins showing great diversity. Here we construct maximum entropy models of the sequence repertoire, building on recent experiments that provide a nearly exhaustive sampling of the IgM…

Genomics · Quantitative Biology 2011-11-28 Thierry Mora , Aleksandra Walczak , William Bialek , Curtis G. Callan

There is a crescent use of enzymes in multiple industries and sciences, ranging from materials and fuel synthesis to pharmaceutical and food production. Their applicability in this variety of fields depends not only on their biochemical…

Molecular Networks · Quantitative Biology 2022-05-12 Renan dos Reis , Luciano da F. Costa

An approach based on using the idea of distinguished coding phase in explicit form for identification of protein-coding regions (exons) in whole genome has been proposed. For several genomes an optimal window length for averaging GC-content…

Biological Physics · Physics 2007-05-23 Alexander N. Gorban , Andrey Yu. Zinovyev , Tatyana G. Popova

Explanation-based generalization is used to extract a specialized grammar from the original one using a training corpus of parse trees. This allows very much faster parsing and gives a lower error rate, at the price of a small loss in…

cmp-lg · Computer Science 2008-02-03 Christer Samuelsson

Any continuous curve in a higher dimensional space can be considered a trajectory that can be parameterized by a single variable, usually taken as time. It is well known that a continuous curve can have a fractional dimensionality, which…

Data Analysis, Statistics and Probability · Physics 2024-05-08 Roxana Peña-Mendieta , Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Daniel Estevez-Moya , Danays Kunka

We introduce \emph{Term Coding}, a novel framework for analysing extremal problems in discrete mathematics by encoding them as finite systems of \emph{term equations} (and, optionally, \emph{non-equality constraints}). In its basic form,…

Combinatorics · Mathematics 2025-10-07 Søren Riis

Automatic ICD coding is defined as assigning disease codes to electronic medical records (EMRs). Existing methods usually apply label attention with code representations to match related text snippets. Unlike these works that model the…

Computation and Language · Computer Science 2022-04-01 Zheng Yuan , Chuanqi Tan , Songfang Huang

The discovery of nucleic acids and the structure of DNA have brought considerable advances in the understanding of life. The development of next-generation sequencing technologies has led to a large-scale generation of data, for which…

Molecular Networks · Quantitative Biology 2022-03-30 Murilo Montanini Breve , Matheus Henrique Pimenta-Zanon , Fabrício Martins Lopes