Abstract
The Seifert–Langer theory of the relaxation dynamics of a one-component bilayer lipid membrane was extended to include a term that involves the gradient of the area per lipid molecule in the bilayer free energy per molecule. The extended theory is applicable over length scales comparable with the membrane thickness.
Similar content being viewed by others
References
A. F. Bitbol, D. Constantin, and J.-B. Fournier, PLoS One 7 (11), e48306 (2012).
P. B. Canham, J. Theor. Biol. 26 (1), 61 (1970).
W. Helfrich, Z. Naturforsch. C 28 (11), 693 (1973).
N. Dan, P. Pincus, and S. A. Safran, Langmuir 9 (11), 2768 (1993).
G. Brannigan and F. L. Brown, Biophys. J. 90 (5), 1501 (2006).
L. Deseri, M. D. Piccioni, and G. Zurlo, Continuum Mech. Thermodyn. 20, 255 (2008).
D. J. Steigmann, Int. J. Non-Linear Mech. 56, 61 (2013).
U. Seifert and S. A. Langer, Europhys. Lett. 23 (1), S71 (1993).
W. Pfeiffer, S. Konig, J. F. Legrand, et al., Europhys. Lett. 23, 457 (1993).
L.R. Arriaga, R. Rodriguez-Garcia, I. Lopez-Montero, et al., Eur. Phys. J. E 31, 105 (2010).
U. Seifert, Adv. Physics, 46 (1), 13 (1997).
F. L. H. Brown, Quart. Rev. Biophys. 44, 391 (2011).
M. Homberg and M. Muller, Europhys. Lett. 97, 68010 (2012).
R. J. Bingham, S. W. Smye, and P. D. Olmsted, Europhys. Lett. 111 (1), 18004 (2015).
R. Okamoto, Y. Kanemori, S. Komura, and J. B. Fournier, Eur. Phys. J. E 39, 52 (2016).
H. W. Huang, Biophys. J. 50 (6), 1061 (1986).
C. Nielsen, M. Goulian, and O. S. Andersen, Biophys. J. 74 (4), 1966 (1998).
J. F. Nagle and S. Tristram-Nagle, Biochim. Biophys. Acta 1469, 159 (2000).
W. den Otter and S. Shkulipa, Biophys. J. 93, 423 (2007).
E. G. Brandt and O. Edholm, Biophys. J. 96, 1828 (2009).
V. C. Nibali, G. D’Angelo, and M. Tarek, Phys. Rev. E 89 (5), 050301 (2014).
M. Zhernenkov, D. Bolmatov, D. Soloviov, et al., Nat. Commun. 7, 11575 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.E. Zakhvataev, 2017, published in Biofizika, 2017, Vol. 62, No. 4, pp. 695–700.
Rights and permissions
About this article
Cite this article
Zakhvataev, V.E. On the nanoscale relaxation dynamics of a lipid bilayer. BIOPHYSICS 62, 565–569 (2017). https://doi.org/10.1134/S0006350917040236
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0006350917040236