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The ratios of the codon usage in the quartets and sextets for the vertebrate series exhibit a correlated behaviour which fits naturally in the framework of the crystal basis model of the genetic code. Moreover the observed universal…

Biological Physics · Physics 2009-10-31 L. Frappat , A. Sciarrino , P. Sorba

Explanation methods aim to make neural networks more trustworthy and interpretable. In this paper, we demonstrate a property of explanation methods which is disconcerting for both of these purposes. Namely, we show that explanations can be…

The genetic code has been shown to be very error robust compared to randomly selected codes, but to be significantly less error robust than a certain code found by a heuristic algorithm. We formulate this optimisation problem as a Quadratic…

Quantitative Methods · Quantitative Biology 2015-03-13 Harry Buhrman , Peter T. S. van der Gulik , Steven M. Kelk , Wouter M. Koolen , Leen Stougie

Requiring stability of genetic code against translation errors, modelised by suitable mathematical operators in the crystal basis model of the genetic code, the main features of the organisation in multiplets of the mitochondrial and of the…

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

The digital nature of genes combined with the associated low copy numbers of proteins regulating them is a significant source of stochasticity, which affects the phase of biochemical oscillations. We provide a theoretical framework for…

Molecular Networks · Quantitative Biology 2014-06-03 D. A. Potoyan , P. G. Wolynes

The effect of genetic operators other than selection, such as mutation and recombination, on the genotype-phenotype map is considered. In particular, when the genotypic fitness landscape exhibits a ``symmetry'', i.e. many genotypes…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. R. Stephens

A new core hypothesis on laughter is presented. It has been built by putting together ideas from several disciplines: neurodynamics, evolutionary neurobiology, paleoanthropology, social networks, and communication studies. The hypothesis…

Neurons and Cognition · Quantitative Biology 2010-10-28 Pedro C. Marijuan , Jorge Navarro

Neural codes appear efficient. Naturally, neuroscientists contend that an efficient process is responsible for generating efficient codes. They argue that natural selection is the efficient process that generates those codes. Although…

Neurons and Cognition · Quantitative Biology 2022-03-21 Han Kim

This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. The work was motivated by the observation of…

Adaptation and Self-Organizing Systems · Physics 2024-06-26 R. Herrero , F. Pi , J. Rius , G. Orriols

Could we hear the pop of a wave-function collapse, and if so, what would it sound like? There exist reconstructions or modifications of quantum mechanics (collapse models) where this archetypal signature of randomness exists and can in…

Quantum Physics · Physics 2020-07-31 Antoine Tilloy

Much of the genome is expressed in the vertebrate brain, with individual genes exhibiting different spatially-varying patterns of expression. These variations are not independent, with pairs of genes exhibiting complex patterns of…

Quantitative Methods · Quantitative Biology 2012-01-06 Pascal Grange , Jason Bohland , Hemant Bokil , Sacha Nelson , Benjamin Okaty , Ken Sugino , Lydia Ng , Michael Hawrylycz , Partha P. Mitra

The formulation of the alternative theory of neutrino oscillations is presented. Also the application of that theory to a system of neutrinos produced by a source is formulated and some basic formulae are derived.

High Energy Physics - Phenomenology · Physics 2007-05-23 Viliam Pazma , Julius Vanko

This short note provides a simple formal proof of a folklore result in statistical phylogenetics concerning the convergence of bootstrap support for a tree and its edges.

Populations and Evolution · Quantitative Biology 2015-01-28 Mike Steel

Networks of gene regulation govern morphogenesis, determine cell identity and regulate cell function. But we have little understanding, at the local level, of which logics are biologically preferred or even permitted. To solve this puzzle,…

Molecular Networks · Quantitative Biology 2022-09-02 Thomas M. A. Fink , Ryan Hannam

It has been repeatedly proposed to expand the scope for SETI, and one of the suggested alternatives to radio is the biological media. Genomic DNA is already used on Earth to store non-biological information. Though smaller in capacity, but…

Other Quantitative Biology · Quantitative Biology 2017-06-13 Vladimir I. shCherbak , Maxim A. Makukov

A number system coding for the permutations generated by cyclic shift is described. The system allows to find the rank of a permutation given how it has been generated, and to determine a permutation given its rank. It defines a code…

Combinatorics · Mathematics 2011-04-08 Stéphane Legendre

Several physical mechanisms have been proposed to explain allostery in proteins. They differ by the number of internal states that they assume a protein to occupy, leaving open the question of what controls the emergence of these distinct…

Biomolecules · Quantitative Biology 2021-11-19 Eric Rouviere , Rama Ranganathan , Olivier Rivoire

A random matrix model to describe the coupling of $m$-fold symmetry is constructed. The particular threefold case is used to analyze data on eigenfrequencies of elastomechanical vibration of an anisotropic quartz block. It is suggested that…

Data Analysis, Statistics and Probability · Physics 2009-11-13 M. S. Hussein , J. X. de Carvalho , M. P. Pato , A. J. Sargeant

To this day, the two-slit electron interference pattern remains shrouded in an inordinate mystery. It continues to defy a logical and rational explanation. This paper will postulate a new "characteristic" pertaining to the electron. If this…

General Physics · Physics 2007-05-23 J. Zzimbe

What could cause the emergence of non-encoding codons in the course of evolution of the genetic code? Hypothesis of evolution of the genetic code from GC to the AGUC-alphabet account for existence of stop codons.

Populations and Evolution · Quantitative Biology 2007-11-01 Denis A. Semenov