Morphological stability analysis of vesicles with mechanical-electrical coupling effects

Acta Mechanica Sinica/Lixue Xuebao

Volumn 26, Issue 1, 2010, Pages 5-11

  Gao, Lingtian ^a   Liu, Ying ^b   Qin, Qing Hua ^c   Feng, Xi Qiao ^a  

^a TSINGHUA UNIVERSITY   (China)

^b BEIJING JIAOTONG UNIVERSITY   (China)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Cell membrane; Mechanical electrical coupling; Stability; Vesicle

Indexed keywords

ELASTIC BENDING; ELECTRICAL EFFECTS; FLEXOELECTRIC; ILLUSTRATIVE EXAMPLES; LIQUID CRYSTAL MODEL; MECHANICAL-ELECTRICAL COUPLING; MORPHOLOGICAL EVOLUTION; MORPHOLOGICAL STABILITY; OSMOTIC PRESSURE; SECOND VARIATION; SHAPE EQUATION; UNIFORM ELECTRIC FIELDS; VARIATIONAL PRINCIPLES;

CELL MEMBRANES; CYTOLOGY; DIELECTRIC PROPERTIES; ELECTRIC FIELD MEASUREMENT; ELECTRIC FIELDS; LIQUID CRYSTALS; MECHANICAL PROPERTIES; MECHANISMS; SURFACE TENSION; VARIATIONAL TECHNIQUES;

STABILITY;

EID: 77249087582     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-009-0295-x     Document Type: Conference Paper

References (26)

1. C.D. McCaig A.M. Rajnicek B. Song M. Zhao 2005 Controlling cell behavior electrically: current views and future potential Physiol. Rev. 85 943 978 10.1152/physrev.00020.2004 (Pubitemid 40885220)
2. R.H.W. Funk T.K. Monsees 2006 Effects of electromagnetic fields on cells: physiological and therapeutical approaches and molecular mechanisms of interaction Cell Tissues Organs. 182 59 78 10.1159/000093061 (Pubitemid 43980024)
3. Neumann E.: Electroporation and Electrofusion in Cell Biology. Springer, New York (1989)
4. Lipowsky R., Sackmann E.: Structure and Dynamics of Membranes. Elsevier, Amsterdam (1995)
5. G. Cevc H. Richardsen 1999 Lipid vesicles and membrane fusion Adv. Drug Deliv. Rev. 38 207 232 10.1016/S0169-409X(99)00030-7 (Pubitemid 29376575)
6. J. Voldman 2006 Electrical forces for microscale cell manipulation Annu. Rev. Biomed. Eng. 8 425 454 10.1146/annurev.bioeng.8.061505.095739 (Pubitemid 44314824)
7. G.K. Xu Y. Li B. Li X.Q. Feng H.J. Gao 2009 Self-assembled lipid nanostructures encapsulating nanoparticles in aqueous solution Soft Matter 5 3977 3983 10.1039/b906918f
8. W.D. Shi X.Q. Feng H.J. Gao 2006 Two dimensional model of vesicle adhesion on curved substrates Acta Mech. Sin. 22 529 535 10.1007/s10409-006- 0036-3 (Pubitemid 46387819)
9. R. Dimova S. Aranda N. Bezlyepkina V. Nikolov K.A. Riske R. Lipowsky 2006 A practical guide to giant vesicles. Probing the membrane nanoregime via optical microscopy J. Phys. Condens. Matter 18 S1151 1176 10.1088/0953-8984/18/ 28/S04 (Pubitemid 43982966)
10. R. Dimova K.A. Riske S. Aranda N. Bezlyepkina R.L. Knorr R. Lipowsky 2007 Giant vesicles in electric fields Soft Matter 3 817 827 10.1039/b703580b (Pubitemid 46950667)
11. K.A. Riske R. Dimova 2006 Electric pulses induce cylindrical deformations on giant vesicles in salt solutions Biophys. J. 91 1778 1786 10.1529/biophysj.106.081620 (Pubitemid 44352442)
12. A.D. Rey 2006 Liquid crystal model of membrane flexoelectricity Phys. Rev. E 74 0117101 10.1103/PhysRevE.74.011710 (Pubitemid 44147270)
13. J.C. Weaver Y.A. Chizmadzhev 1996 Theory of electroporation: a review Bioelectrochem. Bioenerg. 41 135 160 10.1016/S0302-4598(96)05062-3 (Pubitemid 26426526)
14. M.D. Mitov P. Meleard M. Winterhalter M.I. Angelova P. Bothorel 1993 Electric-field-dependent thermal fluctuations of giant vesicles Phys. Rev. E 48 628 631 10.1103/PhysRevE.48.628
15. P. Peterlin S. Svetina B. Zeks 2007 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 136220 10.1088/0953-8984/19/13/136220 (Pubitemid 46479119)
16. L.T. Gao X.Q. Feng Y.J. Yin H.J. Gao 2008 An electromechanical liquid crystal model of vesicles J. Mech. Phys. Solids 56 2844 2862 1171.76325 10.1016/j.jmps.2008.04.006 2445756
17. L.T. Gao X.Q. Feng H.J. Gao 2009 A phase field method for simulating morphological evolution of vesicles in electric fields J. Comput. Phys. 228 4162 4181 1165.78320 10.1016/j.jcp.2009.02.034
18. Ou-Yang Z.C., Liu J.X., Xie Y.Z.: Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phase. World Scientific Press, Singapore (1999)
19. R. Rosso M. Verani E.G. Virga 2003 Second variation of the energy functional for adhering vesicles in two space dimensions J. Phys. Math. Gen. 36 12475 12494 02067765 10.1088/0305-4470/36/50/007 2025878 (Pubitemid 37551188)
20. M. Brinkmann J. Kierfeld R.A. Lipowsky 2004 General stability criterion for droplets on structured substrates J. Phys. Math. Gen. 37 11547 11573 1064.76044 10.1088/0305-4470/37/48/003 2104303 (Pubitemid 39666273)
21. Z.C. Tu Z.C. Ou-Yang 2004 A geometric theory on the elasticity of bio-membranes J. Phys. Math. Gen. 37 11407 11429 1057.92029 10.1088/0305-4470/ 37/47/010 2109079 (Pubitemid 39621105)
22. Z.C. Tu Z.C. Ou-Yang 2008 Elastic-theory of low-dimensional continua and its applications in bio- and nano-structures J. Comput. Theor. Nanosci. 5 422 428 10.1166/jctn.2008.017e
23. Chern S.S., Chen W.H.: Lecture on Differential Geometry. Peking University Press, Beijing (2001)
24. W. Helfrich 1973 Elastic properties of lipid bilayers: theory and possible experiments Z. Naturforsch. C. 28 693 703
25. de Gennes P.G., Prost J.: The Physics of Liquid Crystals. Oxford University Press, Oxford (1995)
26. Schwan H.P.: Dielectrophoresis and rotation of cells. In: Neumann, E., Sowers, A.E., Jordan, C.A. (eds) Electroporation and Electrofusion in Cell Biology, pp. 3-21. Plenum Press, New York (1989)