title: Biological evolution: distribution and convergence analysis of amino acids.
abstract: We propose a protein communication system where the transmitted messages are protein sequences and the encoded message is the DNA. A series connection of the protein communication channel is equivalent to a channel through time: the channel of evolution. We study the evolutionary dynamics of this channel in both cases of constant and time-varying point mutation rate. We establish, using matrix analysis, that stochastic messages sent through the channel of evolution are received according to a fixed probability distribution, which is independent of the original message.
authors.forename: Nidhal
authors.initials: N
authors.lastname: Bouaynaya
authors.forename: Dan
authors.initials: D
authors.lastname: Schonfeld
mesh_terms: D000595:Amino Acid Sequence; D005075:Biological Evolution; D003198:Computer Simulation; D019143:Evolution, Molecular; D014644:Genetic Variation / Q000235:genetics*; D008957:Models, Genetic; D008969:Molecular Sequence Data; D011506:Proteins / Q000737:chemistry* / Q000235:genetics*; D020539:Sequence Analysis, Protein / Q000379:methods*
chemical_list: D011506:Proteins