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The twenty protein coding amino acids are found in proteomes with different relative abundances. The most abundant amino acid, leucine, is nearly an order of magnitude more prevalent than the least abundant amino acid, cysteine. Amino acid…

Populations and Evolution · Quantitative Biology 2014-03-20 Teresa Krick , David A. Shub , Nina Verstraete , Diego U. Ferreiro , Leonardo G. Alonso , Michael Shub , Ignacio E. Sanchez

The standard genetic code is known to be much more efficient in minimizing adverse effects of misreading errors and one-point mutations in comparison with a random code having the same structure, i.e. the same number of codons coding for…

Quantitative Methods · Quantitative Biology 2012-10-17 V. R. Chechetkin , V. V. Lobzin

We apply the concept of subset seeds proposed in [1] to similarity search in protein sequences. The main question studied is the design of efficient seed alphabets to construct seeds with optimal sensitivity/selectivity trade-offs. We…

Quantitative Methods · Quantitative Biology 2011-01-18 Mikhail A. Roytberg , Anna Gambin , Laurent Noé , Slawomir Lasota , Eugenia Furletova , Ewa Szczurek , Gregory Kucherov

Proteins are constructed from a limited alphabet of ~20 amino acids, yet the origins and selection of this specific alphabet are unresolved. One largely overlooked aspect is whether elemental composition constrains the range of viable…

Biomolecules · Quantitative Biology 2026-05-20 L. Felipe Benites , Louie Slocombe , Sara I. Walker

In this paper we provide a method to obtain tight lower bounds on the minimum redundancy achievable by a Huffman code when the probability distribution underlying an alphabet is only partially known. In particular, we address the case where…

Information Theory · Computer Science 2019-09-04 Ian Blanes , Miguel Hernández-Cabronero , Joan Serra-Sagristà , Michael W. Marcellin

The frequencies of A, C, G and T in mitochondrial DNA vary among species due to unequal rates of mutation between the bases. The frequencies of bases at four-fold degenerate sites respond directly to mutation pressure. At 1st and 2nd…

Populations and Evolution · Quantitative Biology 2016-09-08 Daniel Urbina , Bin Tang , Paul G. Higgs

The genetic code has a high level of error robustness. Using values of hydrophobicity scales as a proxy for amino acid character, and the Mean Square measure as a function quantifying error robustness, a value can be obtained for a genetic…

Populations and Evolution · Quantitative Biology 2013-09-19 Harry Buhrman , Peter T. S. van der Gulik , Gunnar W. Klau , Christian Schaffner , Dave Speijer , Leen Stougie

In binary jumbled pattern matching we wish to preprocess a binary string $S$ in order to answer queries $(i,j)$ which ask for a substring of $S$ that is of size $i$ and has exactly $j$ 1-bits. The problem naturally generalizes to…

Data Structures and Algorithms · Computer Science 2014-07-01 Danny Hermelin , Gad M. Landau , Yuri Rabinovich , Oren Weimann

This paper presents an approach to reducing the number of fundamental parameters in the Standard Model (SM) using genetic programming, a machine learning technique based on evolutionary algorithms. We outline the core principles of our…

High Energy Physics - Phenomenology · Physics 2025-09-10 S. V. Chekanov , H. Kjellerstrand

The simplest possible informational heteropolymer requires only a two-letter alphabet to be able to store information. The evolutionary choice of four monomers in the informational biomolecules RNA/DNA or their progenitors is intriguing,…

Genomics · Quantitative Biology 2022-11-17 Hemachander Subramanian

We show that the hydrophobicity of sequences is the leading term in Miyazawa-Jernigan interactions. Being the source of additive (solvation) terms in pair-contact interactions, they were used to reduce the energy parameters while resulting…

Biomolecules · Quantitative Biology 2007-05-23 N. Hamedani Radja , R. R. Farzami , M. R. Ejtehadi

The underlying structure of the canonical amino acid substitution matrix (aaSM) is examined by considering stepwise improvements in the differential recognition of amino acids according to their chemical properties during the branching…

Populations and Evolution · Quantitative Biology 2019-12-12 Julia A. Shore , Barbara R. Holland , Jeremy G. Sumner , Kay Nieselt , Peter R. Wills

A novel approach to protein multiple sequence alignment is discussed: substantially this method counterparts with substitution matrix based methods (like Blosum or PAM based methods), and implies a more deterministic approach to…

Other Quantitative Biology · Quantitative Biology 2007-06-07 Stefano Marino

The rules that specify how the information contained in DNA codes amino acids, is called "the genetic code". Using a simplified version of the Penna nodel, we are using computer simulations to investigate the importance of the genetic code…

Genomics · Quantitative Biology 2009-11-10 E. Gultepe , M. L. Kurnaz

Within bioinformatics, the textual alignment of amino acid sequences has long dominated the determination of similarity between proteins, with all that implies for shared structure, function and evolutionary descent. Despite the relative…

Quantitative Methods · Quantitative Biology 2016-02-10 Amit K Chattopadhyay , Diar Nasiev , Darren R Flower

In this work it is shown that 20 canonical amino acids (AAs) within genetic code appear to be a whole system with strict AAs positions; more exactly, with AAs ordinal number in three variants; first variant 00-19, second 00-21 and third…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Zvonimir M. Damjanovic , Miloje M. Rakocevic

Any positive word comprised of random sequence of tokens form a finite alphabet can be reduced (without change of length) using an appropriate size Braid group relationships. Surprisingly the Braid relations dramatically reduce the…

Computational Complexity · Computer Science 2013-08-20 Dara O Shayda

Learning language of protein sequences, which captures non-local interactions between amino acids close in the spatial structure, is a long-standing bioinformatics challenge, which requires at least context-free grammars. However, complex…

Formal Languages and Automata Theory · Computer Science 2019-03-20 Witold Dyrka , François Coste , Juliette Talibart

Given the amino acid sequence of a protein, researchers often infer its structure and function by finding homologous, or evolutionarily-related, proteins of known structure and function. Since structure is typically more conserved than…

Computational Engineering, Finance, and Science · Computer Science 2015-03-23 Noah M. Daniels

This paper reports about an approach to the classification of proteins' primary structures taking advantage of the Self Organizing Maps algorithm and of a numerical coding of the aminoacids based upon their physico-chemical properties.…

Biological Physics · Physics 2007-05-23 P. Sirabella , A. Giuliani , A. Colosimo