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We investigate a densely packed, non-random arrangement of forty-six chromosomes (46,XY) in human nuclei. Here, we model systems-level chromosomal crosstalk by unifying intrinsic parameters (chromosomal length and number of genes) across…

Genomics · Quantitative Biology 2017-11-09 Sarosh N. Fatakia , Ishita S. Mehta , Basuthkar J. Rao

The problem of the directionality of genome evolution is studied from the information-theoretic view. We propose that the function-coding information quantity of a genome always grows in the course of evolution through sequence duplication,…

Genomics · Quantitative Biology 2011-08-05 Liaofu Luo

We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the obtained codes share most properties of cyclic codes. Since…

Rings and Algebras · Mathematics 2016-08-16 Delphine Boucher , Willi Geiselmann , Félix Ulmer

Decoding of convolutional codes poses a significant challenge for coding theory. Classical methods, based on e.g. Viterbi decoding, suffer from being computationally expensive and are restricted therefore to codes of small complexity. Based…

Information Theory · Computer Science 2009-09-04 Jose Ignacio Iglesias Curto , Uwe Helmke

Two genes are xenologs in the sense of Fitch if they are separated by at least one horizontal gene transfer event. Horizonal gene transfer is asymmetric in the sense that the transferred copy is distinguished from the one that remains…

Discrete Mathematics · Computer Science 2018-02-13 Manuela Geiß , John Anders , Peter F. Stadler , Nicolas Wieseke , Marc Hellmuth

Most amino acids are encoded by multiple synonymous codons. For an amino acid, some of its synonymous codons are used much more rarely than others. Analyses of positions of such rare codons in protein sequences revealed that rare codons can…

Molecular Networks · Quantitative Biology 2019-07-09 Khalique Newaz , Gabriel Wright , Jacob Piland , Jun Li , Patricia Clark , Scott Emrich , Tijana Milenkovic

Convolutional codes are constructed, designed and analysed using row and/or block structures of unit algebraic schemes. Infinite series of such codes and of codes with specific properties are derived. Properties are shown algebraically and…

Rings and Algebras · Mathematics 2018-04-04 Ted Hurley

Co-optimizing mRNA sequences for both codon optimality and secondary structure is crucial for producing stable and efficacious mRNA therapeutics. Codon optimization, which adjusts nucleotide sequences to enhance translational efficiency,…

Previous work on convexity of neural codes has produced codes that are open-convex but not closed-convex -- or vice-versa. However, why a code is one but not the other, and how to detect such discrepancies are open questions. We tackle…

Combinatorics · Mathematics 2022-08-30 Patrick Chan , Katherine Johnston , Joseph Lent , Alexander Ruys de Perez , Anne Shiu

X-ray data indicate that complexes of ribosomes with cognate and near cognate tRNAs are very similar structurally, and this was the ground for a suggestion that the ribosome discriminates correct codon-anticodon pair because of its higher…

Biological Physics · Physics 2013-12-05 Denis Semyonov

The genetic code markup is the assignment of stop codons. The standard genetic code markup ensures the maximum possible stability of genetic information with respect to two fault classes: frameshift and nonsense mutations. There are only…

Populations and Evolution · Quantitative Biology 2007-12-28 Sergey Naumenko , Andrew Podlazov , Mikhail Burtsev , George Malinetsky

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

Adaptation to changing environments is a hallmark of biological systems. Diversity in traits is necessary for adaptation and can influence the survival of a population faced with novelty. In habitats that remain stable over many…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M. Whitacre , Sergei P. Atamas

Reconciling gene trees with a species tree is a fundamental problem to understand the evolution of gene families. Many existing approaches reconcile each gene tree independently. However, it is well-known that the evolution of gene families…

Populations and Evolution · Quantitative Biology 2018-06-12 Riccardo Dondi , Manuel Lafond , Celine Scornavacca

Molecular evidence regarding the genetic code has been examined and the findings on the nature of the early events responsible for the amino acid distribution in the code are reported.

Biological Physics · Physics 2007-05-23 Brian K. Davis

Deciphering cell type heterogeneity is crucial for systematically understanding tissue homeostasis and its dysregulation in diseases. Computational deconvolution is an efficient approach estimating cell type abundances from a variety of…

Other Quantitative Biology · Quantitative Biology 2023-09-06 Lana X. Garmire , Yijun Li , Qianhui Huang , Chuan Xu , Sarah Teichmann , Naftali Kaminski , Matteo Pellegrini , Quan Nguyen , Andrew E. Teschendorff

The evolution in coding DNA sequences brings new flexibility and freedom to the codon words, even as the underlying nucleotides get significantly ordered. These curious contra-rules of gene organisation are observed from the distribution of…

Biological Physics · Physics 2007-05-23 Sujay Chattopadhyay , William A. Kanner , Jayprokas Chakrabarti

The color code is both an interesting example of an exactly solved topologically ordered phase of matter and also among the most promising candidate models to realize fault-tolerant quantum computation with minimal resource overhead. The…

Quantum Physics · Physics 2018-10-25 Markus S. Kesselring , Fernando Pastawski , Jens Eisert , Benjamin J. Brown

We present a genetic algorithm for the atomistic design and global optimisation of substitutionally disordered bulk materials and surfaces. Premature convergence which hamper conventional genetic algorithms due to problems with…

Materials Science · Physics 2008-09-10 Chris E. Mohn , Walter Kob

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