PMID: 16502648Mar 1, 2006Paper

The buckling of spherical liposomes

Journal of Biomechanical Engineering
D C PamplonaC R Calladine

Abstract

In the classical "first approximation" theory of thin-shell structures, the constitutive relations for a generic shell element--i.e. the elastic relations between the bending moments and membrane stresses and the corresponding changes in curvature and strain, respectively-are written as if an element of the shell is flat, although in reality it is curved. In this theory it is believed that discrepancies on account of the use of "flat" constitutive relations will be negligible provided the ratio shell-radius/thickness is of sufficiently large order. In the study of drawing of narrow, cylindrical "tethers" from liposomes it has been known for many years that it is necessary to use instead a constitutive law which explicitly describes a curved element in order to make sense of the mechanics; and indeed such tethers are generally of "thick-walled" proportions. In this paper we show that the proper constitutive relations for a curved element must also be used in the study, by means of shell equations, of the buckling of initially spherical thin-walled giant liposomes under exterior pressure: these involve the inclusion of what we call the "Mkappa" terms, which are not present in the standard "first-approximation" theory. We obtain a...Continue Reading

References

May 23, 1977·Journal of Mathematical Biology·J T Jenkins
Aug 1, 1976·Biophysical Journal·H J Deuling, W Helfrich
Sep 1, 1987·Biophysical Journal·R E Waugh, R M Hochmuth
Sep 5, 1984·Journal of Molecular Biology·H Hotani
May 1, 1993·Journal of Biomechanical Engineering·D C Pamplona, C R Calladine
Apr 23, 1990·Physical Review Letters·E Evans, W Rawicz
Oct 31, 2002·Journal of Biomechanical Engineering·C R Calladine, J A Greenwood

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Citations

Feb 13, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·S P PearceM J Holdsworth
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sovan Das

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