Table of Contents Author Guidelines Submit a Manuscript
BioMed Research International
Volume 2014 (2014), Article ID 580491, 9 pages
http://dx.doi.org/10.1155/2014/580491
Research Article

On Macroscopic Quantum Phenomena in Biomolecules and Cells: From Levinthal to Hopfield

1Faculty of Electrical Engineering, University of Belgrade, 11000 Belgrade, Serbia
2Department of Physics, Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia
3Department of Physics, Faculty of Science, University of Niš, 18000 Niš, Serbia
4Faculty of Technology and Metallurgy, University of Belgrade, 11000 Belgrade, Serbia
5Academy of Criminalistic and Police Studies, 11000 Belgrade, Serbia
6Department of Physics, Faculty of Sciences, University of Novi Sad, 21000 Novi Sad, Vojvodina, Serbia
7Academy of Sciences and Arts of the Republic of Srpska, 78000 Banja Luka, Republic of Srpska, Bosnia and Herzegovina

Received 27 February 2014; Accepted 13 May 2014; Published 16 June 2014

Academic Editor: K. Hun Mok

Copyright © 2014 Dejan Raković et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. J. Leggett, “Macroscopic quantum systems and the quantum theory of measurement,” Progress of Theoretical Physics, no. 69, supplement, pp. 80–100, 1980. View at Publisher · View at Google Scholar
  2. A. J. Leggett and A. Garg, “Quantum mechanics versus macroscopic realism: is the flux there when nobody looks?” Physical Review Letters, vol. 54, no. 9, pp. 857–860, 1985. View at Publisher · View at Google Scholar · View at Scopus
  3. W. H. Zurek, “Decoherence and the transition from quantum to classical,” Physics Today, vol. 44, no. 10, pp. 36–44, 1991. View at Google Scholar · View at Scopus
  4. W. H. Zurek, “Decoherence, einselection, and the quantum origins of the classical,” Reviews of Modern Physics, vol. 75, no. 3, pp. 715–765, 2003. View at Publisher · View at Google Scholar · View at Scopus
  5. G. C. Ghirardi, A. Rimini, and T. Weber, “Unified dynamics for microscopic and macroscopic systems,” Physical Review D, vol. 34, no. 2, pp. 470–491, 1986. View at Publisher · View at Google Scholar · View at Scopus
  6. R. Penrose, “On gravity's role in quantum state reduction,” General Relativity and Gravitation, vol. 28, no. 5, pp. 581–600, 1996. View at Google Scholar · View at Scopus
  7. J. Kofler and Č. Brukner, “Classical world arising out of quantum physics under the restriction of coarse-grained measurements,” Physical Review Letters, vol. 99, no. 18, Article ID 180403, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Kofler and Č. Brukner, “Conditions for quantum violation of macroscopic realism,” Physical Review Letters, vol. 101, no. 9, Article ID 090403, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Raković and M. Dugić, “A critical note on the role of the quantum mechanical “collapse” in quantum modeling of consciousness,” Informatica, vol. 26, no. 1, pp. 85–90, 2002. View at Google Scholar
  10. D. Raković, M. Dugić, and M. M. Ćirković, “Macroscopic quantum effects in biophysics and consciousness,” NeuroQuantology, vol. 2, no. 4, pp. 237–262, 2004. View at Publisher · View at Google Scholar
  11. M. Dugić, D. Raković, J. Jeknić-Dugić, and M. Arsenijević, “The ghostly quantum worlds,” NeuroQuantology, vol. 10, no. 4, pp. 619–628, 2012. View at Google Scholar
  12. M. Dugić, “Decoherence in classical limit of quantum mechanics,” SFIN XVII 2, Institute of Physics, Belgrade, Serbia, 2004 (Serbian).
  13. J. Jeknić-Dugić, M. Arsenijević, and M. Dugić, Quantum Structures: A View of the Quantum World, LAP Lambert, Saarbrücken, Germany, 2013.
  14. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory, Springer, Berlin, Germany, 1996.
  15. V. Vedral, Decoding Reality: The Universe as Quantum Information, Oxford University Press, Oxford, UK, 2010.
  16. H. Primas, “Realism and quantum mechanics,” in Logic, Methodology and Philosophy of Science IX, D. Prawitz, B. Skyrms, and D. Westerståhl, Eds., Elsevier Science B.V., Amsterdam, The Netherlands, 1994. View at Google Scholar
  17. C. Levinthal, “Are there pathways for protein folding?” Journal de Chimie Physique, vol. 65, pp. 44–45, 1968. View at Google Scholar
  18. Y. Duan and P. A. Kollman, “Pathways to a protein folding intermediate observed in a 1-microsecond simulation in aqueous solution,” Science, vol. 282, no. 5389, pp. 740–744, 1998. View at Publisher · View at Google Scholar · View at Scopus
  19. U. Mayor, N. R. Guydosh, C. M. Johnson et al., “The complete folding pathway of a protein from nanoseconds to microseconds,” Nature, vol. 421, no. 6925, pp. 863–867, 2003. View at Publisher · View at Google Scholar · View at Scopus
  20. P. L. Freddolino, F. Liu, M. Gruebele, and K. Schulten, “Ten-microsecond molecular dynamics simulation of a fast-folding WW domain,” Biophysical Journal, vol. 94, no. 10, pp. L75–L77, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. D. E. Shaw, P. Maragakis, K. Lindorff-Larsen et al., “Atomic-level characterization of the structural dynamics of proteins,” Science, vol. 330, no. 6002, pp. 341–346, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. G. M. Seddon and R. P. Bywater, “Accelerated simulation of unfolding and refolding of a large single chain globular protein,” Open Biology, vol. 2, no. 7, Article ID 120087, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. K. A. Dill and H. S. Chan, “From levinthal to pathways to funnels,” Nature Structural Biology, vol. 4, no. 1, pp. 10–19, 1997. View at Publisher · View at Google Scholar · View at Scopus
  24. C. B. Anfinsen, “Principles that govern the folding of protein chains,” Science, vol. 181, no. 4096, pp. 223–230, 1973. View at Google Scholar · View at Scopus
  25. A. Perdomo-Ortiz, N. Dickson, M. Drew-Brook, G. Rose, and A. Aspuru-Guzik, “Finding low-energy conformations of lattice protein models by quantum annealing,” Scientific Reports, vol. 2, article 571, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. W. E. Hart and S. Istrail, “Robust proofs of NP-Hardness for protein folding: general lattices and energy potentials,” Journal of Computational Biology, vol. 4, no. 1, pp. 1–22, 1997. View at Google Scholar · View at Scopus
  27. B. Berger and T. Leighton, “Protein folding in the hydrophobic-hydrophilic (HP) model is NP-complete,” Journal of Computational Biology, vol. 5, no. 1, pp. 27–40, 1998. View at Google Scholar · View at Scopus
  28. P. Crescenzi, D. Goldman, C. Papadimitriou, A. Piccolboni, and M. Yannakakis, “On the complexity of protein folding,” Journal of Computational Biology, vol. 5, no. 3, pp. 597–603, 1998. View at Google Scholar
  29. L. A. Gribov, Introduction to Molecular Spectroscopy, Nauka, Moscow, Russia, 1976 (Russian).
  30. L. A. Gribov, From Theory of Spectra to Theory of Chemical Transformations, URSS, Moscow, Russia, 2001 (Russian).
  31. D. Raković, M. Dugić, J. Jeknić-Dugić et al., “On some quantum approaches to biomolecular recognition,” Contemporary Materials, vol. 1, no. 1, pp. 80–86, 2010. View at Publisher · View at Google Scholar
  32. G. Keković, D. Raković, and D. Davidović, “Relevance of polaron/soliton-like transport mechanisms in cascade resonant isomeric transitions of Q1D-molecular chains,” Materials Science Forum, vol. 555, pp. 119–124, 2007. View at Publisher · View at Google Scholar
  33. G. Keković, D. Raković, and D. Davidović, “A new look at the structural polymer transitions: “bridging the quantum gap” through non-radiative processes,” in Proceedings of the 9th Yugoslav Materials Research Society Conference (YUCOMAT '07), pp. 10–14, Herceg Novi, Montenegro, September 2007.
  34. D. Raković, M. Dugić, and M. Plavšić, “The polymer conformational transitions: a quantum decoherence approach,” Materials Science Forum, vol. 453-454, pp. 521–528, 2004. View at Publisher · View at Google Scholar
  35. M. Dugić, D. Raković, and M. Plavšić, “The polymer conformational stability and transitions: a quantum decoherence theory approach,” in Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering, A. Spasić and J.-P. Hsu, Eds., chapter 9, CRC Press, New York, NY, USA, 2005. View at Google Scholar
  36. D. Raković, M. Dugić, and M. Plavšić, “Biopolymer chain folding and biomolecular recognition: a quantum decoherence theory approach,” Materials Science Forum, vol. 494, pp. 513–518, 2005. View at Publisher · View at Google Scholar
  37. D. Raković, M. Dugić, M. Plavšić, G. Keković, I. Cosic, and D. Davidović, “Quantum decoherence and quantum-holographic information processes: from biomolecules to biosystems,” Materials Science Forum, vol. 518, pp. 485–490, 2006. View at Publisher · View at Google Scholar
  38. J. Jeknić, M. Dugić, and D. Raković, “A unified decoherence-based model of microparticles in a solution,” Materials Science Forum, vol. 555, pp. 405–410, 2007. View at Publisher · View at Google Scholar
  39. J. Jeknić-Dugić, “The environment’induced-superselection model of the large molecules conformational stability and transitions,” European Physical Journal D, vol. 51, no. 2, pp. 193–204, 2009. View at Publisher · View at Google Scholar
  40. J. Jeknić-Dugić, Decoherence model of molecular conformational transitions [Ph.D. thesis], Faculty of Science, Kragujevac, Serbia, 2010 (Serbian).
  41. D. Raković, Integrative Biophysics, Quantum Medicine, and Quantum-Holographic Informatics: Psychosomatic-Cognitive Implications, IASC & IEPSP, Belgrade, Serbia, 2009.
  42. D. Raković, A. Škokljev, and D. Djordjević, Introduction to Quantum-Informational Medicine, with Basics of Quantum-Holographic Psychosomatics, Acupuncturology and Reflexotherapy, ECPD, Belgrade, Serbia, 2010 (Serbian).
  43. M. V. Volkenshtein, Biophysics, Mir, Moscow, Russia, 1983.
  44. M. Peruš, “Multi-level synergetic computation in brain,” Nonlinear Phenomena in Complex Systems, vol. 4, pp. 157–193, 2001. View at Google Scholar
  45. L. Luo and J. Lu, “Temperature dependence of protein folding deduced from quantum transition,” http://arxiv.org/abs/1102.3748.
  46. J. Jeknić-Dugić, “The environment-induced-superselection model of the large molecules conformational stability and transitions,” European Physical Journal D, vol. 51, no. 2, pp. 193–204, 2009. View at Google Scholar
  47. J. Jeknić-Dugić, “Protein folding: the optically induced electronic excitation model,” Physica Scripta, vol. T135, Article ID 014031, 2009. View at Google Scholar
  48. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Clarendon Press, Oxford, UK, 2002.
  49. A. Rivas and S. F. Huelga, Open Quantum Systems. An Introduction, SpringerBriefs, Springer, Berlin, Germany, 2011.
  50. S. P. Sit'ko and L. N. Mkrtchian, Introduction to Quantum Medicine, Pattern, Kiev, Ukraine, 1994.
  51. N. D. Devyatkov and O. Betskii, Eds., Biological Aspects of Low Intensity Millimetre Waves, Seven Plus, Moscow, Russia, 1994.
  52. Y. Zhang, ECIWO Biology and Medicine: A New Theory of Conquering Cancer and Completely New Acupuncture Therapy, Neimenggu People Press, Beijing, China, 1987.
  53. E. Schrödinger, “Der stetige Übergang von der Mikro- zur Makromechanik,” Nаturwissenschаften, vol. 14, no. 28, pp. 664–666, 1926. View at Publisher · View at Google Scholar
  54. R. Omnes, The Interpretаtion of Quаntum Mechаnics, Princeton Series in Physics, Princeton University Press, Princeton, NJ, USA, 1994.
  55. C. Gerry and P. L. Knight, Introductory Quаntum Optics, Cambridge University Press, Cambridge, UK, 2005.