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By starting from the four DNA bases order in the Boolean lattice, a novel Lie Algebra of the genetic code is proposed. Here, the principal partitions of the genetic code table were obtained as equivalent classes of quotient subspaces of the…

Quantitative Methods · Quantitative Biology 2007-05-23 Robersy Sanchez , Ricardo Grau

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

Each human genome is a 3 billion base pair set of encoding instructions. Decoding the genome using deep learning fundamentally differs from most tasks, as we do not know the full structure of the data and therefore cannot design…

Machine Learning · Computer Science 2016-05-24 Laura Deming , Sasha Targ , Nate Sauder , Diogo Almeida , Chun Jimmie Ye

Rich information on the prebiotic evolution is still stored in contemporary genomic data. The statistical mechanism at the sequence level may play a significant role in the prebiotic evolution. Based on statistical analysis of genome…

Other Quantitative Biology · Quantitative Biology 2018-07-12 Dirson Jian Li

Gene finding is the task of identifying the locations of coding sequences within the vast amount of genetic code contained in the genome. With an ever increasing quantity of raw genome sequences, gene finding is an important avenue towards…

Genomics · Quantitative Biology 2025-05-07 Frederikke I. Marin , Dennis Pultz , Wouter Boomsma

The yearly global production of data is growing exponentially, outpacing the capacity of existing storage media, such as tape and disk, and surpassing our ability to store it. DNA storage - the representation of arbitrary information as…

Quantitative Methods · Quantitative Biology 2023-10-04 Thomas Heinis , Roman Sokolovskii , Jamie J. Alnasir

Cartesian Genetic Programming is often used with a point mutation as the sole genetic operator. In this paper, we propose two phenotypic mutation techniques and take a step towards advanced phenotypic mutations in Cartesian Genetic…

Neural and Evolutionary Computing · Computer Science 2018-03-19 Roman Kalkreuth

Recent studies of genotype-phenotype (GP) maps have reported universally enhanced phenotypic robustness to genotype mutations, a feature essential to evolution. Virtually all of these studies make a simplifying assumption that each genotype…

Statistical Mechanics · Physics 2025-01-07 Anna Sappington , Vaibhav Mohanty

The standard genetic code multiplet structure as well as the correct degeneracies, class by class, are all extracted from the (unique) number 23, the order of the permutation group of 23 objects.

Other Quantitative Biology · Quantitative Biology 2008-09-01 Tidjani Negadi

A new set of DNA base-nucleic acid codes and their hypercomplex number representation have been introduced for taking the probability of each nucleotide into full account. A new scoring system has been proposed to suit the hypercomplex…

Other Quantitative Biology · Quantitative Biology 2014-03-12 Jian-Jun Shu , Li Shan Ouw

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

An RNA sequence is a word over an alphabet on four elements $\{A,C,G,U\}$ called bases. RNA sequences fold into secondary structures where some bases match one another while others remain unpaired. Pseudoknot-free secondary structures can…

Data Structures and Algorithms · Computer Science 2018-03-28 Édouard Bonnet , Paweł Rzążewski , Florian Sikora

We introduce a model of DNA sequence evolution which can account for biases in mutation rates that depend on the identity of the neighboring bases. An analytic solution for this class of non-equilibrium models is developed by adopting…

Biological Physics · Physics 2007-05-23 Peter F. Arndt , Christopher B. Burge , Terence Hwa

Signal processing (SP) techniques convert DNA and protein sequences into information that lead to successful drug discovery. One must, however, be aware about the difference between information and entropy1. Eight other physical properties…

Molecular Networks · Quantitative Biology 2007-05-23 Stan Bumble

We propose the first, to our knowledge, coarse-grained modeling strategy for peptides where the effect of changes of the pH can be efficiently described. The idea is based on modeling the effects of the pH value on the main driving…

Biological Physics · Physics 2013-04-29 Marta Enciso , Christof Schuette , Luigi Delle Site

Predicting DNA-protein binding is an important and classic problem in bioinformatics. Convolutional neural networks have outperformed conventional methods in modeling the sequence specificity of DNA-protein binding. However, none of the…

Genomics · Quantitative Biology 2021-06-04 Yuhang Guo , Xiao Luo , Liang Chen , Minghua Deng

We axiomatize the molecular-biology reasoning style, show compliance of the standard reference: Ptashne, A Genetic Switch, and present proof-theory-induced technologies to help infer phenotypes and to predict life cycles from genotypes. The…

Other Quantitative Biology · Quantitative Biology 2019-03-19 René Vestergaard , Emmanuel Pietriga

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

This paper proposes a new mathematical approach to characterize native protein structures based on the discrete differential geometry of tetrahedron tiles. In the approach, local structure of proteins is classified into finite types…

Biomolecules · Quantitative Biology 2007-05-23 Naoto Morikawa

The tendencies described in this work were revealed in the course of examination of adenine and uracil distribution in the mRNA encoding sequence. The study also discusses the usage of codons occupied by the amino acid arginine in the table…

Other Quantitative Biology · Quantitative Biology 2009-08-11 Denis A. Semenov