Journal Article10.1103/PHYSREVA.41.4517
Anchor ring-vesicle membranes.
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TL;DR: In this article, a family of exact and analytical solutions of the equilibrium shape equation of vesicle membranes is found, which are anchor rings with generating circles of radii in the ratio 1/ \ensuremath{surd}2.
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Abstract: A family of the exact and analytical solutions of the equilibrium shape equation of vesicle membranes is found. They are anchor rings with generating circles of radii in the ratio 1/ \ensuremath{\surd}2 . It is shown that these ring vesicles are stable for some negative values of their spontaneous curvatures, such that experimental construction of such vesicles seems possible. A discussion shows that a positive Gauss-curvature elastic modulus favors the formation of these special vesicles.
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Citations
Shape equations of the axisymmetric vesicles
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References
Elastic Properties of Lipid Bilayers: Theory and Possible Experiments
TL;DR: A theory of the elasticity of lipid bilayers is proposed and it is argued that in the case of vesicles (= closed bilayer films) the only elasticity controlling nonspherical shapes is that of curvature.
6.2K
Comparative Properties and Methods of Preparation of Lipid Vesicles (Liposomes)
Francis C. Szoka,Demetrios Papahadjopoulos +1 more
- 01 Jan 1980
TL;DR: This research attacked the mode of action of phosphatidylcholine-like deposits in response to the presence of ribonucleic acid by exploiting its role as a “spatially aggregating substance” in the response to EMT.
1.8K
•Book
The theory of spherical and ellipsoidal harmonics
Ernest William Hobson
- 01 Jan 1955
TL;DR: The transformation of Laplace's equation in polar coordinates and the Legendres associated functions can be found in this article, where the authors also give approximate values of the generalized Legendres functions.
1.8K
Microemulsions and the flexibility of oil/water interfaces
P. G. de Gennes,C. Taupin +1 more
TL;DR: In this article, the elastic constant K describing the curvature elasticity of the interface is used to understand why a random structure of this type does not collapse into an ordered phase.
1.2K
Frequency spectrum of the flicker phenomenon in erythrocytes
F. Brochard,J.F. Lennon +1 more
TL;DR: In this paper, the shape of G is universal and involves only one characteristic length λ(ω) varying like ω-n, where 0.12 < n < 0.19 and 1.30 < m < 1.45.
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