Article or book title, author's surname, DOI

Hyperbolic matrions in neurocybernetics, biomechanics and bioinformatics

I.V. Stepanian1

research article Pages: 57-68

  1. 1 Dr.Sc. (Biol.), Ph.D. (Eng.), Leading Research Scientist, Laboratory of Biodynamics, Institute for Machine Science named by A.A. Blagonravov of the RAS (Moscow)

Abstract

In this paper the idea at the junction of the theory of digital signal processing, neuroinformatics and molecular genetics presented. Analysis of the symmetry groups of topological matrices of Cigankov-s virtual quantum neurocomputer «EMBRYO» for the synthesis of processor architecture non-Von-Neumann architecture converts a number in a positional number system allowed through logarithmic equivalence relations and general algebra of hyperbolic matrions to discover new sustainable fractal-matrix structure of the nucleotide sequences of different genetic organisms and viruses that having in some cases an individual character. Part of the calculations was performed on the supercomputer «MVS-10P» (JSCC RAS) using a system of orthogonal Walsh functions.

How to cite

Степанян И.В. Гиперболические матрионы в нейрокибернетике, биомеханике и биоинформатике // Нейрокомпьютеры: разработка, применение. 2015. № 5. С. 57–68.

References

 

  1. Bodjakin, V.I.; Stepanjan; I.V., Cygankov; V.D. Kvantovye vychislenija na iskusstvennykh kollektivnykh nejjronnykh strukturakh // Nejjrokompjutery: razrabotka, primenenie. 2013. №7. C. 24-31.
  2. Petukhov S.V. Matrichnaja genetika, algebry geneticheskogo koda, pomekhoustojjchivost. M.: RKHD. 2008.
  3. Stepanjan I.V.,Petukhov S.V. Metod vizualizacii binarnykh predstavlenijj dlinnykh geneticheskikh  posledovatelnostejj // Obedinennyjj nauchnyjj zhurnal. 2013. V. 278-281. №7-10(1). C. 21-22.
  4. Cygankov V.D. Nejjrokompjuter i ego primenenie. M.: Sol Sistem. 1993.
  5. Jeffrey H.J. Chaos game representation of gene structure // Nucleic Acids Research. 1990.V.18. №8. P. 2163-2170.
  6. Minkowski H. Raum und Zeit. Space and Time // Physikalische Zeitschrift. 1908. V.9. №10. P. 75-88.
  7. Nikolaou C., Almirantis Y. Deviations from Chargaff\'s second parity rule in organellar DNA. Insights into the evolution of organellar genomes. 2006. V. 381. P. 34-41. doi:10.1016/j.gene.2006.06.010. PMID16893615.
  8. Petoukhov S.V., He M. Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications. USA: IGI Global. 2010.
  9. Stepanyan I.V., Petoukhov S.V. The matrix method of representation, analysis and classification of long genetic sequences / http://arxiv.org/pdf/1310.8469.pdf.
  10. Krugly A.L., Stepanian I.V. An example of the stochastic dynamics of a causal set, in Foundations of Probability and Physics - 6 / Växjö-Kalmar, Sweden. 14-16 June 2011. AIP Conference Proceedings. V. 1424. Edited by M. D-Ariano, Sh.-M. Fei,  E. Haven, B. Hiesmayr, G. Jaeger, A. Khrennikov, J.-Å. Larsson. 2012. P. 206-210.
  11. Cygankov V.D., SHarifov S.K., SHarifov N.K.Nauchnaja gruppa «Psigma».Motivirovannyjj mozg animata /http://www.ntpo.com/invention/invention3/10.shtml. 2004. 5 ijunja 2014.
  12. Petukhov S.V., Petukhova E.S.Polichisla (matriony) v biologicheskojj i kompjuternojj informatike // Giperkomp­leksnye chisla v geometrii i fizike. 2008. T. 5. № 1(9). C. 153-195.