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 …

Genetic coding and united-hypercomplex systems in the models of algebraic biology

SV Petoukhov - Biosystems, 2017 - Elsevier
Structured alphabets of DNA and RNA in their matrix form of representations are connected
with Walsh functions and a new type of systems of multidimensional numbers. This type …

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 …

n-Nucleotide circular codes in graph theory

E Fimmel, CJ Michel… - … Transactions of the …, 2016 - royalsocietypublishing.org
The circular code theory proposes that genes are constituted of two trinucleotide codes: the
classical genetic code with 61 trinucleotides for coding the 20 amino acids (except the three …

I-Ching, dyadic groups of binary numbers and the geno-logic coding in living bodies

Z Hu, SV Petoukhov, ES Petukhova - Progress in Biophysics and Molecular …, 2017 - Elsevier
The ancient Chinese book I-Ching was written a few thousand years ago. It introduces the
system of symbols Yin and Yang (equivalents of 0 and 1). It had a powerful impact on …

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 …

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 …

The spiderweb of error-detecting codes in the genetic information

E Fimmel, L Strüngmann - Biosystems, 2023 - Elsevier
Nature possesses inherent mechanisms for error detection and correction during the
translation of genetic information, as demonstrated by the discovery of a self-complementary …

Natural chymotrypsin-like-cleaved human mitochondrial peptides confirm tetra-, pentacodon, non-canonical RNA translations

H Seligmann - Biosystems, 2016 - Elsevier
Mass spectra of human mitochondrial peptides match non-canonical transcripts
systematically (a) deleting mono/dinucleotides after trinucleotides (delRNA),(b) exchanging …

Symmetries in genetic systems and the concept of geno-logical coding

SV Petoukhov, ES Petukhova - Information, 2016 - mdpi.com
The genetic code of amino acid sequences in proteins does not allow understanding and
modeling of inherited processes such as inborn coordinated motions of living bodies, innate …