The hypercube structure of the genetic code explains conservative and non-conservative aminoacid substitutions in vivo and in vitro

MA Jiménez-Montano, CR de la Mora-Basanez… - BioSystems, 1996‏ - Elsevier
A representation of the genetic code as a six-dimensional Boolean hypercube is described.
This structure is the result of the hierarchical order of the interaction energies of the bases in …

Genetic code, Hamming distance and stochastic matrices

MX He, SV Petoukhov, PE Ricci - Bulletin of mathematical biology, 2004‏ - Springer
In this paper we use the Gray code representation of the genetic code C= 00, U= 10, G= 11
and A= 01 (C pairs with G, A pairs with U) to generate a sequence of genetic code-based …

[PDF][PDF] Ten equations that changed biology: mathematics in problem-solving biology curricula

JR Jungck - Bioscene, 1997‏ - acube.org
Abstract; Mathematics has played cxceptionally inportant roles throughout the history of
biology. Tio freqitcrtlly, Ilirse roirs **ve been tinappreciated in biology crurricula because …

The quest for error correction in biology

MK Gupta - IEEE Engineering in Medicine and Biology …, 2006‏ - ieeexplore.ieee.org
The goal of this article is to give a brief account of the recent developments in codes and
biology. With the increasing understanding of biology and with the advancement of …

The genetic code—more than just a table

D Berleant, M White, E Pierce, E Tudoreanu… - Cell biochemistry and …, 2009‏ - Springer
The standard codon table is a primary tool for basic understanding of molecular biology. In
the minds of many, the table's orderly arrangement of bases and amino acids is synonymous …

[PDF][PDF] The 24 possible algebraic representations of the standard genetic code in six or in three dimensions

MV José, ER Morgado, R Sánchez, T Govezensky - Adv. Stud. Biol, 2012‏ - m-hikari.com
The 24 Possible Algebraic Representations of the Standard Genetic Code in Six or in Three
Dimensions Page 1 Advanced Studies in Biology, Vol. 4, 2012, no. 3, 119 - 152 The 24 Possible …

Protein evolution drives the evolution of the genetic code and vice versa

MA Jiménez-Montaño - BioSystems, 1999‏ - Elsevier
A model for the developmental pathway of the genetic code, grounded on group theory and
the thermodynamics of codon–anticodon interaction is presented. At variance with previous …

Treewidth of generalized Hamming graph, bipartite Kneser graph and generalized Petersen graph

Y Wang, M Cao, Z Lv, M Lu - arxiv preprint arxiv:2403.12549, 2024‏ - arxiv.org
Let $ t, q $ and $ n $ be positive integers. Write $[q]=\{1, 2,\ldots, q\} $. The generalized
Hamming graph $ H (t, q, n) $ is the graph whose vertex set is the cartesian product of $ n …

DHT-based functionalities using hypercubes

JI Alvarez-Hamelin, AC Viana… - Ad-Hoc Networking: IFIP …, 2006‏ - Springer
Decoupling the permanent identifier of a node from the node's topology-dependent address
is a promising approach toward completely scalable self-organizing networks. Existing …

GenNBPSeq: Online web server to generate never born protein sequences using toeplitz matrix approach with structure analysis

MB Karuna Nidhi, R Ganapathy, P Subbiah… - Current …, 2022‏ - benthamdirect.com
Background: In biology, the translation of genetic information to its corresponding protein
sequences is carried out using the Universal Genetic Code. Out of all the possible …