Статьи на английском

  1. Petoukhov S.V. “Genetic coding and united-hypercomplex systems in the models of algebraic biology” – Biosystems, 2017, v. 158, pp. 31-46. 

  2. Petoukhov S.V. “Matrix Genetics, Walsh Functions, Inherited Processes and Artificial Intellect” (the presentation of the lecture in «Central China Normal University» Wuhan, Hubei, China, 09-12 September 2016);

  3. Petoukhov S.V. “Musical Harmony, “I-Ching”, the Genetic Code and Genetic Music» (the presentation of the lecture in «Central China Normal University» Wuhan, Hubei, China, 09-12 September 2016);

  4. Petoukhov S.V., Petukhova E.S. «I-Ching, the Doctrine of Geno-Logic Code and Genetic Music» (the presentation on the 20th International Congress of Natural Medicine, Slovakia, 30 September – 02 October, 2016);

  5. Petoukhov S.V. Symmetries of the genetic code, Walsh functions and the theory of genetic logical holography. – Symmetry: Culture and Science, 2016, v.27, №2, p. 95-98 (the abstract of the lecture on the «Symmetry Festival-216», 18-23 July 2016, Vienna, Austria, festival.symmetry.hu).
  6. Petoukhov S.V. Symmetries of the genetic code, Walsh functions and the theory of genetic logical holography (about the geno-logic code). – The presentation on the «Symmetry Festival-216»,18-23 July 2016, Vienna, Austria, festival.symmetry.hu.
  7. Petoukhov S.V., Petukhova E.S. Resonances, Walsh functions and logical holography in genetics and musicology. – Symmetry: Culture and Science, 2017, v.28, №1, p. 21-40 (the lecture on the «Symmetry Festival-216», 18-23 July 2016, Vienna, Austria, festival.symmetry.hu).
  8. The system-resonance approach in modeling genetic structures. – Biosystems, 2016, v. 139, p. 1-11.

  9. Resonances and genetic biomechanics. – Symmetry: Culture and Science, т. 26, №3, 2015, p. 379-397.

  10. Bionics of Spiral Structures. – Journal of Machinery Manufacture and Reliability, 2015, Vol. 44, No. 3, pp. 249–253. © Allerton Press, Inc., 2015 (co-authors V.Svirin, L.Khazina) 

  11. Music and the Modeling Approach to Genetic Systems of Biological Resonances (Genetic system and vibrational mechanics) – extended abstracts and presentation at the International conference IS4IS, Vienna, Austria, 3-7 June, 2015 
  12. The Genetic Code, the Golden Section and Genetic Music.  – extended abstracts and presentation at the International conference IS4IS, Vienna, Austria, 3-7 June, 2015
  13.  The matrix method of representation, analysis and classification of long genetic sequences. – (co-author I.Stepanyan), – http://arxiv.org/abs/1310.8469 , October 31, 2013.
  14. Matrix genetics: algebra of projection operators, cyclic groups and inherited ensembles of biological cycles. – Book of Abstracts, the International Conference «Theoretical approaches to bioinformation systems», Belgrad, Serbia, 17-22 September 2013, p.25.
  15. The genetic code, algebra of projection operators and problems of inherited biological ensembles. – http://arxiv.org/abs/1307.7882 , July 30, 2013.
  16. Symmetries of the genetic code, hypercomplex numbers and
 genetic matrices with internal complementarities. – “Symmetries in genetic information and algebraic biology”, специальный выпуск журнала “Symmetry: Culture and Science”, Guest editor: S. Petoukhov, 2012, vol. 23, № 3-4, p. 275-301.
  17. Fractal genetic nets and symmetry principles in long nucleotide 
sequences. – “Symmetries in genetic information and algebraic biology”, специальный выпуск журнала “Symmetry: Culture and Science”, Guest editor: S. Petoukhov, 2012, vol. 23, № 3-4, p. 303-322 (co-author V.I.Svirin).
  18. Symmetries in molecular-genetic systems and musical harmony. – “Symmetries in genetic information and algebraic biology”, специальный выпуск журнала “Symmetry: Culture and Science”, Guest editor: S. Petoukhov, 2012, vol. 23, № 3-4, p. 343-375.  (co-authors – G.Darvas, A.Koblyakov, I.Stepanyan).
  19. Editorial. – “Symmetries in genetic information and algebraic biology”, специальный выпуск журнала “Symmetry: Culture and ScienceGuest editor: S. Petoukhov, 2012, vol. 23, № 3-4, p. 229-231. http://symmetry.hu/scs_online/SCS_23_3-4.pdf
  20. Dyadic groups, dyadic trees and symmetries in long nucleotide sequences. – http://arxiv.org/abs/1204.6247 , 27.04.2012
  21. The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts. – http://arxiv.org/abs/1102.3596, February 17, 2011 (11th version – from 15 July 2016 with 5 Appendixes)
  22. The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts.  – Proceedings of the 2011 International Conference of Bioinformatics & Computational Biology (BIOCOMP 2011), (Ed. H.Arabnia, Quoc-Nam Tram), July 18-21, 2011, Las Vegas Nevada, USA, v. 2, CSREA Press, p. 589-595. 

  23. Matrix genetics and the bipolar algebra of the genetic code. – Proceedings of the 2010 International Conference on Bioinformatics and Computational Biology (Editors, Hamid Ariabnia, Quoc-Nam Tran, Associate Editors, Rui Chang, Matthew He, Andy Marsh, Ashu M. Solo, Jack Yang), 2010, CSREA Press, Vol. II, Pages 678-684 (co-author M. He).
  24. The genetic code, Hadamard matrices and algebraic biology. – Journal of Biological Systems, A Special Issue on Biomedical Engineering and Applied Computing, 18, 2010, Spec01, p. 159-175, DOI: 10.1142/S0218339010003688 , http://www.worldscinet.com/jbs/18/18spec01/free-access/S0218339010003688.pdf ) (co-author M. He).
  25. Matrix genetics, part 5: genetic projection operators and direct sums. – http:// arXiv:1005.5101v1 , May 18, 2010.
  26. The genetic code, Hadamard matrices and inherited cycles. – International Conference on Biomedical Engineering and Computer Science (ICBECS 2010), 23-25 April 2010, Wuhan, China. Materials of the Conference, p. 7-8.

  27. A Survey on Mathematical Modeling on Potential Energy Surface of Proteins. – Lecture Notes of Seminario Interdisciplinare di Matematica, Vol. IX (2010), pp. 99-110. Proceedings of the 4th International Workshop on Advanced Special Functions and Solutions of PDE’s (Edited by Alberto Cialdea, Giuseppe Dattoli, Matthew He, Hari Srivastava), (co-authors M.He, P.Ricci)
  28. Articles by different authors about “Petoukhov matrices” and “Petoukhov primes” in “The On-Line Encyclopedia of Integer Sequenceshttp://www.research.att.com/~njas/sequences/Seis.html , A164575, A164557, A164522, A164516, A164309, A164308, A164281, A164279, A164092, A164057, A172039.
  29. Symmetries in matrix genetics and Hadamard matrices of the genetic code. – Symmetry: Culture and Science, vol. 20, No. 1-4, 2009, p. 77-98 (co-author M. He).
  30. Symmetries, generalized numbers and harmonic laws in matrix genetics. – Symmetry: Culture and Science, vol. 20, No. 1-4, 2009, p. 23-50 (co-author J. Kappraff)/
  31. Matrix genetics, part 4: cyclic changes of the genetic 8-dimensional Yin-Yang-algebras and the algebraic models of physiological cycles. – http://arXiv:0809.2714 September 17, 2008.
  32. Matrix genetics, part 3: the evolution of the genetic code from the viewpoint of the genetic octave Yin-Yang-algebra. – http://arXiv:0805.4692 , May 30, 2008.
  33. Matrix genetics, part 2: the degeneracy of the genetic code and the octave algebra with two quasi-real units (the “Yin-Yang octave algebra”). -http://arXiv:0803.3330 , March 23, 2008.
  34. Matrix genetics, part 1: permutations of positions in triplets and symmetries of genetic matrices. – http://arXiv:0803.0888, March 6, 2008
  35. The degeneracy of the genetic code and Hadamard matrices. – http://arXiv:0802.3366 , February 8, 2008.
  36. Degeneracy of the genetic code and its own multi-dimensional algebra. – – XX International Congress of Genetics. Berlin, July 12-17, 2008, Abstract book, p. 209.

  37. Matrix genetics, musical harmony and the genetic matrices of hydrogen bonds. – XX International Congress of Genetics. Berlin, July 12-17, 2008, Abstract book, p. 209.
  38. Harmony of living nature, symmetries of genetic systems and matrix genetics. – International journal of integrative medicine, 2007, v. 1, №1, p.41-43 (co-author M. He).
  39. Bioinformatics: matrix genetics, algebras of the genetic code and biоlogical harmony. – Symmetry: Culture and Science, v. 17, №1-4, 2006, р.253-291.
  40. 3D modeling in the field of biological prosthetics. – Symmetry: Culture and Science, v. 17, 2006, p. 239-248 (co-author V.M.Utenkov)
  41. Geometric properties of genetic code and the symbolic system of the ancient Chinese “Book of changes”. Genoart. – “MADI. Art periodical” №8, 2006, с. 56-57.
  42. Hadamard matrices and quint matrices in matrix presentations of molecular genetic systems. – Symmetry: Culture and Science, Vol. 16,  No. 3, 2005, p. 247-266.
  43. Symmetries and tensors of genetic codes. A bioinformatic approach to the geometrization of biology. – Proceedings of FIS2005, The Third Conference on the Foundations of Information Science, Paris, July 4-7, 2005. Editor: Michel PetitjeanOnline Edition, ISBN 3-906980-17-0, Published in Basel, Switzerland.
  44. Foreword to special issue “International Conference on Bioinformatics and its Applications – 2004”. – Journal of Biological Systems, v. 12, December 2004, p. 1-3 (co-authors D. Brutlag, M.He).

  45. Foreword to «Advances in Bioinformatics and its Applications”. – «Advances in Bioinformatics and its Applications” (editors – M.He, G.Narasimhan, S.Petoukhov), ISBN 981-256-148-X, Proceedings of the International Conference (Florida, USA, 16-19 December 2004), Series in Mathematical Biology and Medicine, v.8, 2005, pp.V-VII, New Jersey–London-Singapore-Beijing, World Scientific, ISBN 981-256-148-X (co-authors M.He, G.Narasimhan).

  46. The rules of degeneracy and segregations in genetic codes. The chronocyclic conception and parallels with Mendel’s laws. – “Advances in Bioinformatics and its Applications” (editors – M.He, G.Narasimhan, S.Petoukhov), Proceedings of the International Conference (Florida, USA, 16-19 December 2004), Series in Mathematical Biology and Medicine, v.8, 2005, pp.512-532, New Jersey–London-Singapore-Beijing, World Scientific, ISBN 981-256-148-X.

  47. Genetic Code, Hamming Distance and Stochastic Matrices. – Bulletin of Mathematical Biology, 2004, v. 66, p. 1405-1421 (co-authors He M., Ricci P.).
  48. Influence of Well-Ordered Magnetic-Domain Structures on Biomechanical Characteristics and on Symmetries of Biological Objects. – Symmetry: Culture & Science, vol. 14-15, part 1, 2003-2004, pp. 349-354 (co-authors R.Abdumalikov, E.Bragina, G.Diatchina, D.Fedorova, O. Kolomiets, O.Kuzovlev).

  49. 3D modeling and symmetrological analysis of biotechnical systems. – Symmetry: Culture & Science, vol. 14-15, part 1, 2003-2004, pp. 309-310 (co-authors K.V.Frolov, V.M.Utenkov).
  50. Attributive conception of genetic code, its bi-periodic tables and problem of unification bases of biological languages. – Symmetry: Culture & Science, vol. 14-15, part 1, 2003-2004, pp. 281-307.
  51.   The Biperiodic Table and Attributive Conception of Genetic Code. A Problem of Unification Bases of Biological Languages. – The Proceedings of the 2003 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS’03), June 23-26, 2003, p.495-501, Las Vegas, Nevada, USA 

  52. Editorial. – Symmetry in Genetic Information, ed. Petoukhov S.V. (2001), special double issue of the journal “Symmetry: Culture and Science”, v.12, #3-4, 245-246 p.
  53. Genetic Codes II: Numeric rules of degeneracy and a chronocyclic theory. – Symmetry in Genetic Information, ed. Petoukhov S.V. (2001), ISBN 963216 242 0, special double issue of the journal “Symmetry: Culture and Science”, Budapest: International Symmetry Foundation, v.12, #3-4, pp. 275-306.
  54. Genetic Codes 1: binary sub-alphabets, bi-symmetric matrices and golden section. – Symmetry in Genetic Information, ed. Petoukhov S.V. (2001), ISBN 963216 242 0, special double issue of the journal “Symmetry: Culture and Science”, Budapest: International Symmetry Foundation, v. 12, #3-4, pp. 255-274
  55. Genetic code and the Ancient Chinese “Book of Changes”. – Symmetry: Culture & Science, vol. 10, №3-4, 1999, р. 211-226.
  56. Highest symmetries and biological algorithms. – Symmetry: Culture & Science, vol. 6, ¹ 3, 1995, p. 426-427.
  57. Highest biosymmetries and the concept of replicational morphogenesis. – Symmetry: Culture & Science, vol. 3, ¹ 1, 1992, р. 60-61.
  58. Symmetric-algorithmic properties of regular biostructures. – Symmetry: Culture & Science, vol. 1, ¹ 3, 1990, р.295-312.
  59. Highest symmetries and iterative algorithms in self-organization of living matter. – Abstracts of International symposium “Symmetry of Structure”, 15-19.08.1989, Budapest, vol. 2, p. 423-426.
  60. Non-Euclidean geometries and algorithms of living bodies. – Computers & Mathematics with Applications, v. 17, № 4-6, 1989, p. 505-534.
  61. On the application of computerized tomography to biodynamics. – Man under vibration/ Proceeding of the second International CISM-IFTOMM Symposium, Moscow, USSR, April 8-12, 1985, p. 275-279.
  62. Investigations on Non-Euclidean biomechanics. Projective geometry, Fibonacci numbers and the kinematic scheme of human body. – Biomechanics-7, VII, Warszawa, 1981, p. 603-607.

 

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