Physics of Biology


Genetic Phase Angle Distance

Authors: Daniel K. Pratt

It is hypothesized that a mapping of the biochemical properties of genetic nucleotides into the three dimensional ℝ3 Clifford algebra will yield a novel and meaningful evolutionary distance measure. The nucleotides A,T,C,G are mapped according to three biochemical properties (amino/keto, purine/pyrimidine, weak/strong), resulting in four base-vectors. A weighted linear combination of the base-vectors as codon triplets results in a "Tetrahedral Genetic Code" (TGC), where all 64 codons map to 64 unique codon-vectors in the space. Phase distance θ is measured as the angle between sequentially neighboring codon-vectors, and a sequence of codons is measured as the total path length in radians of the vector as it traverses the TGC. Angular difference Δθ is computed as the absolute value of the difference in phase θ between sequences, at homologous loci. The Genetic Phase Angle Distance (GPAD) is computed as the Δθ mean. GPAD is computed on a sample sequence matrix for 11 different species and compared side by side to the Equal-input distance and phylogenetic tree computed on that same species matrix.

Comments: Final draft of undergraduate thesis in Biotechnology. Includes 8 pages of Wolfram Mathematica copy/paste code to replicate the experiment. contact daniel dot k dot pratt at gmail dot com

Download: PDF

Submission history

[v1] 2013-07-18 11:56:01

Unique-IP document downloads: 261 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus