Buckling of an axisymmetric vesicle under compression: The effects of resistance to shear

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 61, Issue 1, 2008, Pages 1-24

  Preston, S P ^a   Jensen, O E ^a   Richardson, Giles ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BIFURCATION (MATHEMATICS); HYSTERESIS LOOPS; MECHANICAL PROPERTIES; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

AXISYMMETRIC DEFORMATION; BENDING RESISTANCE; THIN-SHELL BALANCE-OF-FOCUS FORMULATION;

BUCKLING;

EID: 38549107117     PISSN: 00335614     EISSN: 14643855     Source Type: Journal    
DOI: 10.1093/qjmam/hbm021     Document Type: Article

References (30)

1. M. Kamei, W. B. Saunders, K. J. Bayless, L. Dye, G. E. Davis and B. M. Weinstein, Endothelial tubes assemble from intracellular vacuoles in vivo, Nature 442 (2006) 453-456.
2. K. Mostov and E Martin-Belmonte, Developmental biology: The hole picture, ibid. 442 (2006) 363-364.
3. F. Szoka and D. Papahadjopoulos, Comparative properties and methods of preparation of lipid vesicles (liposomes), Ann. Rev. Biophys. Bioeng. 9 (1980) 467-508.
4. A. D. Bangham, Surrogate cells or Trojan horses. The discovery of liposomes, Bioessays 17 (1995) 1081-1088.
5. T. Lian and R. J. Y. Ho, Trends and developments in liposome drug delivery systems, J. Pharm. Sci. 90 (2001) 667-680.
6. N. S. Templeton and D. D. Lasic, New directions in liposome gene delivery, Mol. Biotechnol. 11 (1999) 175-180.
7. A. Katsumi, A. W. Orr, E. Tzima and M. A. Schwartz, Integrins in mechanotransduction, J Chem. Biol. 279 (2004) 12001-12004.
8. G. Apodaca, Modulation of membrane traffic by mechanical stimuli, Amer. J. Physiol. Renal Physiol. 282 (2002) F179- F190.
9. P. B. Canham, Minimum energy of bending as a possible explanation of biconcave shape of human red blood cell, J. Theor. Biol. 26 (1970) 61-81.
10. W. Helfrich, Elastic properties of lipid bilayers - theory and possible experiments, Z. Naturforsch. C 28 (1973) 693-703.
11. M. G. Blyth and C. Pozrikidis, Solution space of axisymmetric capsules enclosed by elastic membranes, Europ. J. Mech. A 23 (2004) 877-892.
12. D. C. Pamplona and C. R. Calladine, The mechanics of axially symmetric liposomes, J. Biomech. Engng. 115 (1993) 149-159.
13. J. Dai and M. P. Sheetz, Cell membrane mechanics, Methods Cell Biol. 55 (1998) 157-171.
14. M. Liu and M. Post, Mechanochemical signal transduction in the fetal lung, J. Appl. Physiol. 89 (2000) 2078-2084.
15. J. M. Tarbell, S. Weinbaum and R. D. Kamm, Cellular fluid mechanics and mechanotransduction, Ann. Biomed. Engng. 33 (2005) 1719-1723.
16. L. Pauchard and S. Rica, Contact and compression of elastic spherical shells: The physics of a 'ping-pong' ball, Philos. Mag. B 78 (1998) 225-233.
17. S. Komura, K. Tamura and T. Kato, Buckling of spherical shells adhering on to a rigid substrate, Europ. Phys. J. E 18 (2005) 343-358.
18. W. Flügge, Stresses in Shells, 2nd edn (Springer, Berlin 1973).
19. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, Engineering Societies Monographs, 2nd edn (McGraw Hill, New York 1959).
20. J. J. Foo, V. Chan and K. K. Liu, Coupling bending and shear effects on liposome deformation, J Biomech. 39 (2006) 2338-2343.
21. E. Kreyszig, Differential Geometry (Dover, New York 1991).
22. E. A. Evans and R. Skalak, Mechanics and Thermodynamics of Biomembranes (CRC Press, Boca Raton 1980).
23. K. H. Parker and C. P. Winlove, The deformation of spherical vesicles with permeable, constant-area membranes: Application to the red blood cell, Biophys. J. 77 (1999) 3096-3107.
24. C. Pozrikidis, Deformed shapes of axisymmetric capsules enclosed by elastic membranes, J. Engng. Math. 45 (2003) 169-182.
25. D. C. Pamplona, J. A. Greenwood and C. R. Calladine, The buckling of spherical liposomes, J. Biomech. Engng. 127 (2005) 1062-1069.
26. E. Evans and A. Yeung, Hidden dynamics in rapid changes of bilayer shape, Chem. Phys. Lipids 73 (1994) 39-56.
27. H. Noguchi and G. Gompper, Shape transitions of fluid vesicles and red blood cells in capillary flows, Proc. Natl Acad. Sci. 102 (2005) 14159-14164.
28. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, Cambridge 1989).
29. M. Yoneda, Tension at the surface of a sea-urchin egg: A critical examination of Cole's experiment, J. Exp. Biol. 41 (1964) 893-906.
30. H. Hotani, Transformation pathways in liposomes, J. Mol. Biol. 178 (1984) 113-120.