Skip to main content
SpringerLink
Log in

Estimation of the parameters of the Smoluchowski equation describing the occurrence of pores in a bilayer lipid membrane under soft poration

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

The conductive lipid pores occurring in planar bilayer membranes are known to manifest themselves experimentally as current fluctuations. Reliable recording of such fluctuations during phase transitions, as well as in membranes with various additives (for example, SDS), allows one to determine the characteristics of hypothetical hydrophilic pores, namely, their number, sizes, lifetimes, and duration of time intervals between pores. Because, in contrast with electroporation, the emergence of pores in a membrane does not require high voltages, this process is called soft poration. Studying the characteristics of pores under soft poration allows us to estimate the parameters of the Smoluchowski equation and compare them with the corresponding parameters used to describe electroporation. In this work, the experimental characteristics of current fluctuations in the membrane with the addition of SDS to the bulk solution were used to estimate the parameters of the Smoluchowski equation: the pore edge tension, the energy of the hydrophobic pore/hydrophilic pore barrier, the coefficient of pore diffusion in the radius space, the initial distribution density of the number of pores, and the attempt rate density of the lipids in a membrane. The obtained estimates are close to the parameter values used in studies of electroporation.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.C. Weaver, Y.A. Chizmadzhev, Bioelectrochem. Bioenerg. 41, 135 (1996)

    Article  Google Scholar 

  2. V.F. Antonov, V.V. Petrov, A.A. Molnar, D.A. Predvoditelev, A.S. Ivanov, Nature 283, 585 (1980)

    Article  ADS  Google Scholar 

  3. H. Heerklotz, Q. Rev. Biophys. 41, 205 (2008)

    Article  Google Scholar 

  4. A.A. Anosov, E.Y. Smirnova, E.A. Korepanova, I.M. Shogenov, Chem. Phys. Lipids 218, 10 (2019)

    Article  Google Scholar 

  5. T. Heimburg, Biophys. Chem. 150, 2 (2010)

    Article  Google Scholar 

  6. V.F. Antonov, A.A. Anosov, V.P. Norik, E.Y. Smirnova, Eur. Biophys. J. 34, 155 (2005)

    Article  Google Scholar 

  7. T. Andersen, A. Kyrsting, P.M. Bendix, Soft Matter 10, 4268 (2014)

    Article  ADS  Google Scholar 

  8. M. Tarek, Biophys. J. 88, 4045 (2005)

    Article  ADS  Google Scholar 

  9. S.A. Freeman, M.A. Wang, J.C. Weaver, Biophys. J. 67, 42 (1994)

    Article  ADS  Google Scholar 

  10. A.A. Anosov, A.A. Sharakshane, E.Yu. Smirnova, O.Yu. Nemchenko, Biophysics 61, 936 (2016)

    Article  Google Scholar 

  11. A.A. Anosov, A.A. Sharakshane, E.Y. Smirnova, O.Yu. Nemchenko, Biochem. (Moscow) Suppl. Ser. A: Membr. Cell Biol. 11, 8 (2017)

    Article  Google Scholar 

  12. A.A. Anosov, A.A. Sharakshane, E.Y. Smirnova, O.Y. Nemchenko, Eur. Biophys. J. 47, 297 (2018)

    Article  Google Scholar 

  13. V.F. Pastushenko, Y.A. Chizmadzhev, V.B. Arakelyan, J. Electroanal. Chem. Interfacial Electrochem. 104, 53 (1979)

    Article  Google Scholar 

  14. L.V. Chernomordik, M.M. Kozlov, G.B. Melikyan, I.G. Abidor, V.S. Markin, Y.A. Chizmadzhev, Biochim. Biophys. Acta: Biomembranes 812, 643 (1985)

    Article  Google Scholar 

  15. J.C. Weaver, R.A. Mintzer, Phys. Lett. A 86, 57 (1981)

    Article  ADS  Google Scholar 

  16. R.W. Glaser, S.L. Leikin, L.V. Chernomordik, V.F. Pastushenko, A.I. Sokirko, Biochim. Biophys. Acta: Biomembranes 940, 275 (1988)

    Article  Google Scholar 

  17. D.V. Zhelev, D. Needham, Biochim. Biophys. Acta: Biomembranes 1147, 89 (1993)

    Article  Google Scholar 

  18. J.C. Neu, W. Krassowska, Phys. Rev. E 59, 3471 (1999)

    Article  ADS  Google Scholar 

  19. W. Harbich, W. Helfrich, Z. Naturforsch. A 34, 1063 (1979)

    Article  ADS  Google Scholar 

  20. A. Barnett, J.C. Weaver, Bioelectrochem. Bioenerg. 25, 163 (1991)

    Article  Google Scholar 

  21. T.V. Tolpekina, W.K. den Otter, W.J. Briels, J. Chem. Phys. 121, 8014 (2004)

    Article  ADS  Google Scholar 

  22. K.C. Smith, R.S. Son, T.R. Gowrishankar, J.C. Weaver, Bioelectrochemistry 100, 3 (2014)

    Article  Google Scholar 

  23. K.T. Powell, E.G. Derrick, J.C. Weaver, Bioelectrochem. Bioenerg. 15, 243 (1986)

    Article  Google Scholar 

  24. J.A. Bangham, E.J.A. Lea, Biochim. Biophys. Acta: Biomembranes 511, 388 (1978)

    Article  Google Scholar 

  25. I.G. Abidor, V.B. Arakelyan, L.V. Chernomordik, Y.A. Chizmadzhev, V.F. Pastushenko, M.P. Tarasevich, J. Electroanal. Chem. Interfacial Electrochem. 104, 37 (1979)

    Article  Google Scholar 

  26. K.C. Smith, J.C. Neu, W. Krassowska, Biophys. J. 86, 2813 (2004)

    Article  ADS  Google Scholar 

  27. S.A. Akimov, P.E. Volynsky, T.R. Galimzyanov, P.I. Kuzmin, K.V. Pavlov, O.V. Batishchev, Sci. Rep. 7, 12152 (2017)

    Article  ADS  Google Scholar 

  28. A.A. Anosov, E.Y. Smirnova, A.A. Sharakshane, E.A. Nikolayeva, Y.S. Zhdankina, Biochim. Biophys. Acta: Biomembranes 1862, 183147 (2020)

    Article  Google Scholar 

  29. J.D. Little, Oper. Res. 9, 383 (1961)

    Article  Google Scholar 

  30. V.F. Antonov, E.Y. Smirnova, A.A. Anosov, V.P. Norik, O.Y. Nemchenko, Biophysics 53, 390 (2008)

    Article  Google Scholar 

  31. K.A. DeBruin, W. Krassowska, Biophys. J. 77, 1213 (1999)

    Article  Google Scholar 

  32. G. Lindblom, G. Orädd, A. Filippov, Chem. Phys. Lipids 141, 179 (2006)

    Article  Google Scholar 

  33. A.J. Bray, Adv. Phys. 51, 481 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  34. B. Xu, W.Q. Lin, X.G. Wang, S.W. Zeng, G.Q. Zhou, J.L. Chen, Chin. Phys. B 26, 033103 (2017)

    Article  ADS  Google Scholar 

  35. M. Leguebe, A. Silve, L.M. Mir, C. Poignard, J. Theor. Biol. 360, 83 (2014)

    Article  Google Scholar 

  36. A. Silve, I. Leray, M. Leguebe, C. Poignard, L.M. Mir, Bioelectrochemistry 106, 369 (2015)

    Article  Google Scholar 

  37. M. Breton, L.M. Mir, Bioelectrochemistry 119, 76 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I.M. Sechenov First Moscow State Medical University (Sechenov University), Moscow, Russia

    A. A. Anosov, E. Yu. Smirnova, E. D. Ryleeva, I. A. Gligonov & E. A. Korepanova

  2. Pirogov Russian National Research Medical University, Moscow, Russia

    E. A. Korepanova

  3. Kotelnikov Institute of Radioengineering and Electronics of RAS, Moscow, Russia

    A. A. Anosov & A. A. Sharakshane

Authors
  1. A. A. Anosov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Yu. Smirnova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. D. Ryleeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. A. Gligonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. E. A. Korepanova
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. A. Sharakshane
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Anosov.

Additional information

Publisher's Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Anosov, A.A., Smirnova, E.Y., Ryleeva, E.D. et al. Estimation of the parameters of the Smoluchowski equation describing the occurrence of pores in a bilayer lipid membrane under soft poration. Eur. Phys. J. E 43, 66 (2020). https://doi.org/10.1140/epje/i2020-11989-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2020-11989-0

Keywords

Search

Navigation