2005
DOI: 10.1088/0305-4470/38/40/004
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On the role of membrane anisotropy in the beading transition of undulated tubular membrane structures

Abstract: The Helfrich expression for the isotropic membrane bending energy was generalized for the case of anisotropic membranes by taking into account two intrinsic (spontaneous) curvatures, i.e., the intrinsic mean curvature H m and the intrinsic curvature deviator D m. Using this generalized expression for the membrane bending energy the shape equation for closed axisymmetric anisotropic membranes is solved numerically for the case of undulated tubular shapes. It is shown that the variation of one of the two intrins… Show more

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Cited by 50 publications
(73 citation statements)
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“…55,56 While it was previously acknowledged that membrane composition and shape are interdependent, 34,57−59 the orientational ordering model provides a unified explanation of the above feature, and has been reviewed extensively elsewhere. 37,45,60,61 Figure 5 presents some of these nanostructures, with buds and nanovesicles of the erythrocyte membrane and nanotubules observed in urothelial cancer cells. Dilatations of the nanotubules are often present.…”
Section: Deviatoric Elasticity May Stabilize Anisotropic Nanostructuresmentioning
confidence: 99%
“…55,56 While it was previously acknowledged that membrane composition and shape are interdependent, 34,57−59 the orientational ordering model provides a unified explanation of the above feature, and has been reviewed extensively elsewhere. 37,45,60,61 Figure 5 presents some of these nanostructures, with buds and nanovesicles of the erythrocyte membrane and nanotubules observed in urothelial cancer cells. Dilatations of the nanotubules are often present.…”
Section: Deviatoric Elasticity May Stabilize Anisotropic Nanostructuresmentioning
confidence: 99%
“…44,45 Membrane area, enclosed volume, and average mean curvature were kept constant during minimization. The system of differential equations was solved numerically, as described by Iglič et al 45 …”
Section: Determination Of Theoretical Shapesmentioning
confidence: 99%
“…45 It was assumed that the vesicle has no internal structure and that its shape was determined by the properties of the membrane. The membrane free energy was derived using the energies of individual membrane constituents and for simplicity, it was assumed that all constituents were equal.…”
mentioning
confidence: 99%
“…According to the theory of isotropic membrane elasticity, 45,46 the cell tubular membrane protrusion cannot be stabilized by isotropic membrane components alone, 43 but requires the accumulation of anisotropic membrane nanodomains. 6,8,10,47,48 Previous theoretical studies provide insight into the stability of the tubular membrane protrusion following the disassembly of the inner rod cytoskeleton, 4 or into the stability of actin-free filopodia.…”
Section: Discussionmentioning
confidence: 99%
“…The difference between the membrane curvature and the membrane intrinsic (spontaneous) curvature determines the energy cost for bending the membrane away from its favorable curvature. 43 The intrinsic (spontaneous) curvatures of the membrane nanodomain depend on the relative density of cholesterol molecules in the outer lipid layer, as follows: …”
Section: The Model Of Icn Stability and Theoretical Predictionsmentioning
confidence: 99%