The Genetic Code revisited: Inner-to-outer map, 2D-Gray map, and World-map Genetic Representations

TL;DR

This paper explores three novel representations of the genetic code—inner-to-outer map, 2D-Gray map, and world-map—to enhance genomic signal processing and educational visualization.

Contribution

It introduces three original genetic code representations tailored for genomic signal processing and educational visualization, expanding beyond traditional symbolic mappings.

Findings

Inner-to-outer map emphasizes information-theoretic aspects.

2D-Gray map aids in spectrogram interpretation.

World-map representation supports educational and distance-based analyses.

Abstract

How to represent the genetic code? Despite the fact that it is extensively known, the DNA mapping into proteins remains as one of the relevant discoveries of genetics. However, modern genomic signal processing usually requires converting symbolic-DNA strings into complex-valued signals in order to take full advantage of a broad variety of digital processing techniques. The genetic code is revisited in this paper, addressing alternative representations for it, which can be worthy for genomic signal processing. Three original representations are discussed. The inner-to-outer map builds on the unbalanced role of nucleotides of a 'codon' and it seems to be suitable for handling information-theory-based matter. The two-dimensional-Gray map representation is offered as a mathematically structured map that can help interpreting spectrograms or scalograms. Finally, the world-map representation for the genetic code is investigated, which can particularly be valuable for educational purposes -besides furnishing plenty of room for application of distance-based algorithms.