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Kinetic Model of the Formation of Protein Crystals in Capillaries by Counterdiffusion

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Abstract

A kinetic model of crystallization of lysozyme is proposed, and computer calculations of this process are carried out. The conditions for the formation of such crystals are determined. Under these conditions, individual crystals were grown that were suitable for X-ray examination. The developed model enables prediction of the quantity, size, and place of crystal nucleation inside the capillary.

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References

  1. J. D. Bernal, Z. Kristallogr. Cryst. Mater. 78, 363 (1931).

    Google Scholar 

  2. R. E. Franklin and R. G. Gosling, Nature 171 (4356), 740 (1953).

    Article  ADS  Google Scholar 

  3. L. J. DeLucas, T. L. Bray, L. Nagy, D. McCombs, N. Chernov, D. Hamrick, L. Cosenza, A. Belgovskiy, B. Stoops, and A. Chait, J. Struct. Biol. 142, 188 (2003).

    Article  Google Scholar 

  4. J. W. Gibbs, Elementary Principles of Statistical Mechanics (Ox Bow Press, 1981; Nauka, Moscow, 1982).

    MATH  Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Pergamon, Oxford, 1980; Nauka, Moscow, 1995).

    Google Scholar 

  6. B. Ya. Lyubov, Kinetic Theory of Phase Transitions (Metallurgiya, Moscow, 1989) [in Russian].

    Google Scholar 

  7. Ya. B. Zel’dovich, Zh. Eksp. Teor. Fiz. 12, 525 (1942).

    Google Scholar 

  8. V. G. Dubrovskii, Nucleation Theory and Growth of Nanostructures (Springer, Heidelberg, 2014).

    Book  Google Scholar 

  9. D. Kashchiev, Nucleation: Basic Theory with Applications (Butterworth-Heinemann, Oxford, 2000).

    Google Scholar 

  10. J. Christian, The Theory of Transformations in Metals and Alloys: Equilibrium and General Kinetic Theory (Pergamon, Oxford, 1975).

    Google Scholar 

  11. A. G. Khachaturyan, The Theory of Phase Transformatins and Solid Solution Structure (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  12. A. McPherson, Crystallization of Biological Macromolecules, 3rd ed. (Cold Spring Harbor Labor. Press, New York, 1999).

    Google Scholar 

  13. J. D. Schmit and K. Dill, J. Am. Chem. Soc. 134, 3934 (2012).

    Article  Google Scholar 

  14. Y. V. Trushin, Theory of Radiation Processes in Metal Solid Solutions (Nova Science, New York, 1996).

    Google Scholar 

  15. M. N. Lubov, D. V. Kulikov, and Yu. V. Trushin, Tech. Phys. 55, 85 (2010).

    Article  Google Scholar 

  16. M. N. Lubov, I. E. Eliseev, Yu. V. Trushin, M. V. Dubina, and Yu. V. Natochin, Tech. Phys. Lett. 39, 942 (2013).

    Article  ADS  Google Scholar 

  17. D. V. Kulikov, M. N. Lubov, Yu. V. Trushin, and V. S. Kharlamov, Tech. Phys. Lett. 41, 961 (2015).

    Article  ADS  Google Scholar 

  18. A. S. Sokolovskiy, Yu. V. Trushin, M. N. Lubov, I. E. Eliseev, A. N. Yudenko, and M. V. Dubina, J. Phys.: Conf. Ser. 741, 012053 (2016).

    Google Scholar 

  19. A. N. Kolmogorov, Izv. Akad. Nauk SSSR, Ser. Mat. 1, 355 (1937).

    Google Scholar 

  20. W. A. Johnson and R. F. Mehl, Trans. Am. Inst. Min. Met. Pet. Eng. 135, 416 (1939).

    Google Scholar 

  21. M. Avrami, J. Chem. Phys. 9, 177 (1941).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. St. Petersburg National Research Academic University, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    A. S. Sokolovskiy, M. N. Lubov, N. A. Besedina & Yu. V. Trushin

  2. St. Petersburg National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg, 190031, Russia

    A. S. Sokolovskiy & Yu. V. Trushin

  3. Pavlov First St. Petersburg State Medical University, St. Petersburg, 197022, Russia

    M. V. Dubina

Authors
  1. A. S. Sokolovskiy
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  2. M. N. Lubov
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  3. N. A. Besedina
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  4. Yu. V. Trushin
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  5. M. V. Dubina
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Corresponding author

Correspondence to M. N. Lubov.

Additional information

Original Russian Text © A.S. Sokolovskiy, M.N. Lubov, N.A. Besedina, Yu.V. Trushin, M.V. Dubina, 2018, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2018, Vol. 44, No. 11, pp. 105–110.

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Sokolovskiy, A.S., Lubov, M.N., Besedina, N.A. et al. Kinetic Model of the Formation of Protein Crystals in Capillaries by Counterdiffusion. Tech. Phys. Lett. 44, 502–504 (2018). https://doi.org/10.1134/S1063785018060111

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  • DOI: https://doi.org/10.1134/S1063785018060111

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