Acta Scientific Biotechnology

Research Article Volume 1 Issue 11

Higher Dimensions in Linear, Helicoidal and Folded Structures of Protein Molecules

Gennadiy Vladimirovich Zhizhin*

Russian Academy of Natural Sciences, St. Petersburg, Russia

*Corresponding Author: Gennadiy Vladimirovich Zhizhin, Russian Academy of Natural Sciences, St. Petersburg, Russia.

Received: November 17, 2020; Published: November 30, 2020

×

Abstract

  It was shown that the widespread quasi-plane models of the Pauling protein structure do not reflect and even contradict the spatial structures of the protein in various conformations. It was found that the linear structures and β - structures of the protein in space of the highest dimension have translational symmetry. The elementary elements of the protein translational symmetry were determined, and their dimensions were calculated (9 for the linear structures and 23 for β - structures).

Keywords: Molecule; Protein; Chain; Spiral; Dimension; Polytope; Translational Symmetry

×

References

  1. Pauling L., et al. “The Structure of Proteins: Two Hydrogen-bonded Helical Configurations of the Polypeptide Chain”. Proceedings of the national Academy of Sciences of the USA4 (1951): 205-211.
  2. Pauling L and Corey RB. “Two Hydrogen-bonded Spiral Configurations of the Polypeptide Chain”. Journal of the American Chemical Society 72 (1950): 5349.
  3. Pauling L and Corey RB. “Compound Helical Configurations of the Polypeptide Chain: Structure of Proteins of the α - keratin Type”. Nature 171 (1953): 59-61.
  4. Corey RB and Pauling L. “Fundamental dimensions of polypeptid chains”. Proceedings of the Royal Society B: Biological Sciences 902 (1953): 10-20.
  5. Dickerson RE and Geis I. “The Structure and Action of Proteins”. New York: Benjamin (1969).
  6. Metzler DE. “Biochemistry. The Chemical Reactions of Living Cells”. New York, San Francisco, London: Academic Press (1977).
  7. Lehninger AL. “Principes of Biochemistry”. Worth Publishers, Inc (1982).
  8. Koolman J and Roehm K. “Color Atlas of Biochemistry”. Stutgart, New York: Thieme (2013).
  9. Zhizhin GV. “The structures, topological and functional dimension of biomolecules”. International Journal of Chemoinformatic and Chemical Engineering2 (2016): 44-58.
  10. Zhizhin GV. “Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities”. Hershey PA, USA: IGI Global (2018).
  11. Poincaré A. “Analysis situs”. J. de e` Ecole Polytechnique 1 (1895) : 1-121.
  12. Pauling L. “So-called Icosahedral Decagonal Quasicrystals are Twins of an 820-atom Cubic Cristal”. Physical Review Letters 58 (1987) : 365-368.
  13. Gratias D and Cahn JW. ”Periodic and qusiperiodic crystals”. Scripta Metallurgica9 (1986): 1193-1197.
  14. Shechtman D., et al. “Metallic phase with longerange orientational order and no translational symmetry”. Physical Review Letters 53 (1984): 1951-1953.
  15. Zhizhin GV. “Relations for the number of faces of different dimensions in the tower of n - dimensional convex polytopes”. Materials 9th All-Russian Scientific School “Mathematical research in the natural sciences”. Geological institute KSC RAS, Apatity (2013): 24-32.
  16. Zhizhin GV. “Images of convex regular and semiregular n-dimensional polytopes”. Materials 9th All-Russian Scientific School “Mathematical research in the natural sciences”. Geological institute KSC RAS, Apatity (2013): 32-42.
  17. Zhizhin GV. “World – 4D”. St. – Petersburg: Polytechnic Service (2014).
  18. Zhizhin GV and Diudea MV. “Space of Nanoworld”. In Putz MV and Marius CM (Eds.), “Sustainable nanosystems, development, properties, and applications”. New York: IGI Global (2016): 221-245.
  19. Zhizhin GV. “The Geometry of Higher-Dimensional Polytopes”. Hershey PA, USA: IGI Global (2019).
  20. Zhizhin GV. “Normal partitions and hierarchical fillings of n-dimensional spaces”. Hershey PA, USA: IGI Global (2021).
×

Citation

Citation: Gennadiy Vladimirovich Zhizhin. “Higher Dimensions in Linear, Helicoidal and Folded Structures of Protein Molecules". Acta Scientific Biotechnology 1.12 (2020): 02-09.




Metrics

Acceptance rate36%
Acceptance to publication20-30 days

Indexed In


News and Events


  • Certification for Review
    Acta Scientific certifies the Editors/reviewers for their review done towards the assigned articles of the respective journals.
  • Submission Timeline for Upcoming Issue
    The last date for submission of articles for regular Issues is November 25, 2024.
  • Publication Certificate
    Authors will be issued a "Publication Certificate" as a mark of appreciation for publishing their work.
  • Best Article of the Issue
    The Editors will elect one Best Article after each issue release. The authors of this article will be provided with a certificate of "Best Article of the Issue"
  • Welcoming Article Submission
    Acta Scientific delightfully welcomes active researchers for submission of articles towards the upcoming issue of respective journals.

Contact US