The Mutational Events as Linear Transformations on the Genetic Code Cubes
In the Demonstration "The Ancestral Genetic Code Cube", an ancestral genetic code was discussed. The Demonstration was based on an algebraic hypothesis of the ancestral genetic code . The algebraic and biological model suggests the plausibility of the transition from a primeval genetic code with an extended DNA alphabet to the present standard genetic code, where the symbol represents one or more hypothetical bases with unspecific pairings. The coordinate representation of ancient and present codons lets us insert the set into the three-dimensional real vector space that can be represented as an ordinary cube with three of its faces contained in the coordinate planes -, -, -. The mutational events that take place in DNA protein-encoding regions (genes) can be represented as linear transformations of the genetic code three-dimensional vector space. The main goal of the present Demonstration is to provide a friendly tool to visualize the main geometrical features of the mutational events in genes.