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The genetic code is the function from the set of codons to the set of amino acids by which a DNA sequence encodes proteins. Since the codons also influence the shape of the DNA molecule itself, the same sequence that encodes a protein also…

Other Quantitative Biology · Quantitative Biology 2020-03-04 Alex Kasman , Brenton LeMesurier

The genetic code is the set of rules by which information encoded in genetic material (DNA or RNA sequences) is translated into proteins (amino acid sequences) by living cells. The code defines a mapping between tri-nucleotide sequences,…

Other Quantitative Biology · Quantitative Biology 2015-12-03 Jayanta Kumar Das , Atrayee Majumder , Pabitra Pal Choudhury

The origin and organizing principles of the genetic code remain fundamental puzzles in life science. The vanishingly low probability of the natural codon-to-amino acid mapping arising by chance has spurred the hypothesis that its structure…

Other Quantitative Biology · Quantitative Biology 2025-10-14 Yudam Seo , Tsvi Tlusty , Junghyo Jo

We study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to given properties…

Logic · Mathematics 2021-04-02 Sergey V. Sudoplatov

We discuss the similarity of the degeneration structure of the genetic code with a pure number theoretic -- ``divisors code.'' The most interesting thing about our observation is not that there is a connection between number theory and the…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Andrei Khrennikov , Marcus Nilsson

How DNA is mapped to functional proteins is a basic question of living matter. We introduce and study a physical model of protein evolution which suggests a mechanical basis for this map. Many proteins rely on large-scale motion to…

Biological Physics · Physics 2017-08-18 Tsvi Tlusty , Albert Libchaber , Jean-Pierre Eckmann

Constructor theory seeks to express all fundamental scientific theories in terms of a dichotomy between possible and impossible physical transformations - those that can be caused to happen and those that cannot. This is a departure from…

History and Philosophy of Physics · Physics 2013-01-18 David Deutsch

This article is interested in the origin of the genetic code, it puts forward a scenario of a simultaneous selection of the bases and amino acids and setting up of a correlation between them. Each amino acid is associated with a pair of its…

Biomolecules · Quantitative Biology 2020-12-18 Pierre Zofel

Genetic sequences are known to possess non-trivial composition together with symmetries in the frequencies of their components. Recently, it has been shown that symmetry and structure are hierarchically intertwined in DNA, suggesting a…

Genomics · Quantitative Biology 2020-09-28 Giampaolo Cristadoro , Mirko Degli Esposti , Eduardo G. Altmann

We formulate genome assembly problem as an optimization problem in which the objective function is the likelihood of the assembly given the reads.

Computational Engineering, Finance, and Science · Computer Science 2016-04-08 Mohammadreza Ghodsi

Molecular biology is a nanotechnology that works--it has worked for billions of years and in an amazing variety of circumstances. At its core is a system for acquiring, processing and communicating information that is universal, from…

Genomics · Quantitative Biology 2016-12-21 Apoorva D. Patel

Nanoparticles tethered with DNA strands are promising building blocks for bottom-up nanotechnology, and a theoretical understanding is important for future development. Here we build on approaches developed in polymer physics to provide…

Soft Condensed Matter · Physics 2014-11-03 Chia Wei Hsu , Francesco Sciortino , Francis W. Starr

DNA replication is a process which is common to all domains of life yet different replication mechanisms are seen among different organisms. The mechanism of replication on such a structure is not yet understood. With this bigger picture in…

Biomolecules · Quantitative Biology 2016-10-05 Jason Baby

Neural networks based on soft and biological matter constitute an interesting potential alternative to traditional implementations based on electric circuits. DNA is a particularly promising system in this context due its natural ability to…

Biological Physics · Physics 2026-01-22 Michael te Vrugt

The sequence of nucleotide bases occurring in an organism's DNA is often regarded as a codescript for its construction. However, information in a DNA sequence can only be regarded as a codescript relative to an operational biochemical…

Other Quantitative Biology · Quantitative Biology 2013-08-12 Peter R. Wills

A fundamental design rule that nature has developed for biological machines is the intimate correlation between motion and function. One class of biological machines is molecular motors in living cells, which directly convert chemical…

Biological Physics · Physics 2021-05-11 Na Liu

How does the genome encode the form of the organism? What is the nature of this genomic code? Inspired by recent work in machine learning and neuroscience, we propose that the genome encodes a generative model of the organism. In this…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kevin J. Mitchell , Nick Cheney

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

DNA self-assembly is an important tool that has a wide range of applications such as building nanostructures, the transport of target virotherapies, and nano-circuitry. Tools from graph theory can be used to encode the biological process of…

Combinatorics · Mathematics 2023-10-09 Cory Johnson , Andrew Lavengood-Ryan

The structure of the genetic code is discussed in formal terms. A rectangular table of the code ("the code matrix"), whose properties reveal its arithmetical content tagged with the information symbols in several notations. New parameters…

Other Quantitative Biology · Quantitative Biology 2009-07-22 Felix Filatov