Abstract
A model of vesicle electrodeformation is described which obtains a parametrized vesicle shape by minimizing the sum of the membrane bending energy and the energy due to the electric field. Both the vesicle membrane and the aqueous media inside and outside the vesicle are treated as leaky dielectrics, and the vesicle itself is modeled as a nearly spherical shape enclosed within a thin membrane. It is demonstrated (a) that the model achieves a good quantitative agreement with the experimentally determined prolate-to-oblate transition frequencies in the kilohertz range and (b) that the model can explain a phase diagram of shapes of giant phospholipid vesicles with respect to two parameters: the frequency of the applied alternating current electric field and the ratio of the electrical conductivities of the aqueous media inside and outside the vesicle, explored in a recent paper (S. Aranda et al., Biophys J 95:L19–L21, 2008). A possible use of the frequency-dependent shape transitions of phospholipid vesicles in conductometry of microliter samples is discussed.
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References
Aranda, S., Riske, K.A., Lipowsky, R., Dimova, R.: Morphological transitions of vesicles induced by AC electric fields. Biophys. J. 95, L19–L21 (2008)
Polk, C., Postow, E. (eds.): Handbook of Biological Effects of Electromagnetic Fields, 2nd edn. CRC, Boca Raton (1996)
Zimmermann, U., Neil, G.A. (eds.): Electromanipulation of Cells. CRC, Boca Raton (1996)
Jones, T.B.: Electromechanics of Particles. Cambridge University Press, Cambridge (1995)
Zimmerman, U., Friedrich, U., Mussauer, H., Gessner, P., Hämel, K., Sukhorukov, V.: Electromanipulation of mammalian cells: fundamentals and application. IEEE Trans. Plasma Sci. 28, 72–82 (2000)
Gimsa, J.: A comprehensive approach to electro-orientation, electrodeformation, dielectrophoresis, and electrorotation of ellipsoidal particles and biological cells. Bioelectrochemistry 54(1), 23–31 (2001)
Dimova, R., Riske, K.A., Aranda, S., Bezlyepkina, N., Knorr, R.L., Lipowsky, R.: Giant vesicles in electric fields. Soft Matter 3, 817–827 (2007)
Dimova, R., Bezlyepkina, N., Domange Jordö, M., Knorr, R.L., Riske, K.A., Staykova, M., Vlahovska, P.M., Yamamoto, T., Yang, P., Lipowsky, R.: Vesicles in electric fields: some novel aspects of membrane behavior. Soft Matter 5, 3201–3212 (2009)
Schwan, H.P.: Electrical properties of tissue and cell suspensions. Adv. Biol. Med. Phys. 5, 147–209 (1957)
Helfrich, W.: Elastic properties of lipid bilayers: Theory and possible experiments. Z. Naturforsch., C 28, 693–703 (1973)
Helfrich, W.: Deformation of lipid bilayer spheres by electric fields. Z. Naturforsch., C 29, 182–183 (1974)
Bryant, G., Wolfe, J.: Electromechanical stresses produced in the plasma membranes of suspended cells by applied electric fields. J. Membr. Biol. 96, 129–139 (1987)
Winterhalter, M., Helfrich, W.: Deformation of spherical vesicles by electric field. J. Colloid Interface Sci. 122, 583–586 (1988)
Harbich, W., Helfrich, W.: Alignment and opening of giant lecithin vesicles by electric fields. Z. Naturforsch., A 34, 1063–1065 (1979)
Mitov, M.D., Méléard, P., Winterhalter, M., Angelova, M.I., Bothorel, P.: Electric-field-dependent thermal fluctuations of giant vesicles. Phys. Rev. E 48(1), 628–631 (1993)
Peterlin, P., Svetina, S., Žekš, B.: The frequency dependence of phospolipid vesicle shapes in an external electic field. Pflügers Arch. Eur. J. Physiol. 439, R139–R140 (2000)
Hyuga, H., Kinosita, Jr., K., Wakabayashi, N.: Transient and steady-state deformations of a vesicle with an insulating membrane in response to step-function or alternating electric fields. Jpn. J. Appl. Phys. 30(10), 2649–2656 (1991)
Hyuga, H., Kinosita, Jr., K., Wakabayashi, N.: Steady-state deformation of a vesicle in alternating electric fields. Bioelectrochem. Bioenerg. 32, 15–25 (1993)
Landau, L.D., Lifshitz, E.M., Pitaevskiĭ, L.P.: Electrodynamics of continuous media. In: Course of Theoretical Physics, vol. 8, 2nd edn. Butterworth-Heineman, Oxford (1984)
Nörtemann, K., Hilland, J., Kaatze, U.: Dielectric properties of aqueous NaCl solutions at microwave frequencies. J. Phys. Chem., A 101, 6864–6869 (1997)
Turcu, I., Lucaciu, C.M.: Dielectrophoresis: a spherical shell model. J. Phys., A, Math. Gen. 22, 985–993 (1989)
Foster, K.R., Sauer, F.A., Schwan, H.P.: Electrorotation and levitation of cells and colloidal particles. Biophys. J. 63(1), 180–190 (1992)
Angelova, M.I., Dimitrov, D.S.: Liposome electroformation. Faraday Discuss. Chem. Soc. 81, 303–311 (1986)
Angelova, M.I., Soléau, S., Méléard, P., Faucon, J.F., Bothorel, P.: Preparation of giant vesicles by external AC electric fields. Kinetics and applications. Prog. Colloid & Polym. Sci. 89, 127–131 (1992)
Peterlin, P., Arrigler, V.: Electroformation in a flow chamber with solution exchange as a means of preparation of flaccid giant vesicles. Colloids Surf., B 64, 77–87 (2008)
Sevšek, F., Sukharev, S., Svetina, S., Žekš, B.: The shapes of phospholipid vesicles in electric field as determined by video microscopy. Stud. Biophys. 138, 143–146 (1990)
Antonova, K., Vitkova, V., Mitov, M.D.: Deformation of giant vesicles in AC electric fields-Dependence of the prolate-to-oblate transition frequency on vesicle radius. EPL 89, 38004 (2010). doi:10.1209/0295-5075/89/38004
Sukhorukov, V.L., Meedt, G., Kürscher, M., Zimmerman, U.: A single-shell model for biological cells extended to account for the dielectric anisotropy of the plasma membrane. J. Electrost. 50, 191–204 (2001)
Ambjörnsson, T., Mukhopadhyay, G.: Dipolar response of an ellipsoidal particle with an anisotropic coating. J. Phys. A, Math. Gen. 36, 10,651–10,665 (2003)
Ko, Y.T.C., Huang, J.P., Yu, K.W.: The dielectric behaviour of single-shell spherical cells with a dielectric anisotropy in the shell. J. Phys., Condens. Matter 16, 499–509 (2004)
Simeonova, M., Gimsa, J.: Dielectric anisotropy, volume potential anomalies and the persistent Maxwellian equivalent body. J. Phys., Condens. Matter 17, 7817–7831 (2005)
Peterlin, P., Svetina, S., Žekš, B.: The prolate-to-oblate shape transition of phospholipid vesicles in response to frequency variation of an AC electric field can be explained by the dielectric anisotropy of a phospholipid bilayer. J. Phys., Condens. Matter 19, 136 220 (2007)
Vlahovska, P.M., Serral Gracià, R., Aranda-Espinoza, S., Dimova, R.: Electrohydrodynamic model of vesicle deformation in alternating electric field. Biophys. J. 96, 4789–4803 (2009)
Kummrow, M., Helfrich, W.: Deformation of giant lipid vesicles by electric fields. Phys. Rev. A 44(12), 8356–8360 (1991)
Niggemann, G., Kummrow, M., Helfrich, W.: The bending rigidity of phosphatidylcholine bilayers: dependences on experimental method, sample cell sealing and temperature. J. Phys. II France 5, 413–425 (1995)
Pott, T., Bouvrais, H., Méléard, P.: Giant unilamellar vesicle formation under physiologically relevant conditions. Chem. Phys. Lipids 154, 115–119 (2008)
Horger, K.S., Estes, D.J., Capone, R., Mayer, M.: Films of agarose enable rapid formation of giant liposomes in solutions of physiologic ionic strength. J. Am. Chem. Soc. 131, 1810–1819 (2009)
Acknowledgements
The author would like to thank Prof. S. Svetina and Prof. B. Žekš for numerous helpful discussions and V. Arrigler for the help with vesicle preparation. This work has been supported by the Slovenian Research Agency through grant J3-2268.
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Peterlin, P. Frequency-dependent electrodeformation of giant phospholipid vesicles in AC electric field. J Biol Phys 36, 339–354 (2010). https://doi.org/10.1007/s10867-010-9187-3
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DOI: https://doi.org/10.1007/s10867-010-9187-3