Biology – Quantitative Biology – Other Quantitative Biology
Scientific paper
2010-05-18
Biology
Quantitative Biology
Other Quantitative Biology
17 pages, 5 figures
Scientific paper
The article is devoted to phenomena of symmetries and algebras in matrix presentations of the genetic code. The Kronecker family of the genetic matrices is investigated, which is based on the alphabetical matrix [C A; U G], where C, A, U, G are the letters of the genetic alphabet. The matrix P=[C A; U G] in the third Kronecker power is the (8*8)-matrix, which contains 64 triplets. Peculiarities of the degeneracy of the genetic code are reflected in the symmetrical black-and-white mosaic of this genetic (8*8)-matrix of 64 triplets. Phenomena of connections of this mosaic matrix (and many other genetic matrices) with projection operators are revealed. Taking into account an important role of projection operators in quantum mechanics, theory of digital codes, computer science, logic and in many other fields of applied mathematics, we study algebraic properties and biological meanings of these phenomena. Using of notions and formalisms of theory of finite-dimensional vector spaces in bioinformatics and theoretical biology is proposed on the bases of the described results.
No associations
LandOfFree
Matrix genetics, part 5: genetic projection operators and direct sums does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Matrix genetics, part 5: genetic projection operators and direct sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix genetics, part 5: genetic projection operators and direct sums will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-59056