Mathematical fundamentals for the noise immunity of the genetic code

E Fimmel, L Strüngmann - Biosystems, 2018 - Elsevier
Symmetry is one of the essential and most visible patterns that can be seen in nature.
Starting from the left–right symmetry of the human body, all types of symmetry can be found …

On the minimal elements of the genetic code and their semiotic functions (degeneracy, complementarity, wobbling)

S Zolyan - Biosystems, 2023 - Elsevier
We address semiotic features of genetic coding, primarily the mechanisms for distinguishing
between triplets. It implies that the minimal elements that allow codon recognition and amino …

On the origin of degeneracy in the genetic code

DL Gonzalez, S Giannerini, R Rosa - Interface Focus, 2019 - royalsocietypublishing.org
The degeneracy of amino acid coding is one of the most crucial and enigmatic aspects of the
genetic code. Different theories about the origin of the genetic code have been developed …

Circular codes, symmetries and transformations

E Fimmel, S Giannerini, DL Gonzalez… - Journal of Mathematical …, 2015 - Springer
Circular codes, putative remnants of primeval comma-free codes, have gained considerable
attention in the last years. In fact they represent a second kind of genetic code potentially …

Reviewing evidence for systematic transcriptional deletions, nucleotide exchanges, and expanded codons, and peptide clusters in human mitochondria

H Seligmann - Biosystems, 2017 - Elsevier
Polymerization sometimes transforms sequences by (a) systematic deletions of mono-,
dinucleotides after trinucleotides, or (b) 23 systematic nucleotide exchanges (9 symmetric …

On the origin of the mitochondrial genetic code: towards a unified mathematical framework for the management of genetic information

DL Gonzalez, S Giannerini, R Rosa - 2012 - nature.com
The origin of the genetic code represents one of the most challenging problems in molecular
evolution. The genetic code is an important universal feature of extant organisms and …

On dichotomic classes and bijections of the genetic code

E Fimmel, A Danielli, L Strüngmann - Journal of theoretical biology, 2013 - Elsevier
Dichotomic classes arising from a recent mathematical model of the genetic code allow to
uncover many symmetry properties of the code, and although theoretically derived, they …

The matrix method of representation, analysis and classification of long genetic sequences

IV Stepanyan, SV Petoukhov - Information, 2017 - mdpi.com
The article is devoted to a matrix method of comparative analysis of long nucleotide
sequences by means of presenting each sequence in the form of three digital binary …

Circular codes revisited: a statistical approach

DL Gonzalez, S Giannerini, R Rosa - Journal of Theoretical Biology, 2011 - Elsevier
In 1996 Arquès and Michel [1996. A complementary circular code in the protein coding
genes. J. Theor. Biol. 182, 45–58] discovered the existence of a common circular code in …

Natural mitochondrial proteolysis confirms transcription systematically exchanging/deleting nucleotides, peptides coded by expanded codons

H Seligmann - Journal of Theoretical Biology, 2017 - Elsevier
Protein sequences have higher linguistic complexities than human languages. This
indicates undeciphered multilayered, overprinted information/genetic codes. Some …