Latent Periodicity of Many Genes

摘要: Development of mathematical methods for study symbolical sequence periodicity gets special significance nowadays. First all it is concerned with the successful determination DNA sequences from various genomes and accumulation a great number amino acid sequences. Therefore there problem mathematics biologists to be solved determine structural features these find biological meaning revealed One such symbolic Earlier comprehensive were developed continuous discrete numerical sequences, using Fourier transformation allowing define spectral density sequence. However, application demands presentation as in which properties any text should displayed unequivocally. The most widely used method, including construction given ofm consisting numbers zero one, formed according law: x(i, j) = 1, if symbol ai occupies site j, 0 other cases. Here A {a1, a2, . , am} alphabet m size Then applied each Fourier-harmonics are calculated, corresponding i-type symbols, well matrix factors, pair correlation symbols [6]. our opinion method works rather relatively short length (which smaller than alphabet). For periods greater alphabet, possibility “decomposition” statistical importance longer favor shorter ones. Thus turns out that period kind “spread” onto periods, i.e. an effect attenuation harmonics periods. This will even stronger cases, where several replacements periodic could not simply identical. main purpose this work show results by ID existence latent lot gene