Dynamic Coupling and Nonlocal Curvature Elasticity in Bilayer Membranes

Evans, Evan; Yeung, Anthony; Waugh, Richard E.; Song, Jianben

doi:10.1007/978-3-642-84763-9_28

Cited by 22 publications

(27 citation statements)

References 11 publications

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“…This is a standard assumption and no evidence exists to make us relax it. However, the two leaves of the bilayer can slip relative to each other, with a friction coefficient measured in the experiments of Evans and collaborators [21] [23]. We will incorporate these effects in Sect.…”

Section: Other Assumptionsmentioning

confidence: 99%

Front Progagation in the Pearling Instability of Tubular Vesicles

1996

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Recently Bar-Ziv and Moses discovered a dynamical shape transformation induced in cylindrical lipid bilayer vesicles by the action of laser tweezers. We develop a hydrodynamic theory of fluid bilayers in interaction with the surrounding water and argue that the effect of the laser is to induce a sudden tension in the membrane. We refine our previous analysis to account for the fact that the shape transformation is not uniform but propagates outward from the laser trap. Applying the marginal stability criterion to this situation gives us an improved prediction for the selected initial wavelength and a new prediction for the propagation velocity, both in rough agreement with the experimental values. For example, a tubule of initial radius 0.7µm has a predicted initial sinusoidal perturbation in its diameter with wavelength 5.5µm, as observed. The perturbation propagates as a front with the qualitatively correct front velocity a bit less than 100µm/sec. In particular we show why this velocity is initially constant, as observed, and so much smaller than the natural scale set by the tension. We also predict that the front velocity should increase linearly with laser power. Finally we introduce an approximate hydrodynamic model applicable to the fully nonlinear regime. This model exhibits propagating fronts as well as fully-developed "pearled" vesicles similar to those seen in the experiments. 9/95

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Section: Other Assumptionsmentioning

confidence: 99%

Front Progagation in the Pearling Instability of Tubular Vesicles

1996

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“…In many cases of interest, however, small scale deformations of the membrane occur, which force the two monolayers to slip along one another [17] with velocity difference v, giving rise to an intermonolayer friction force per unit area F slip bv, with friction coefficient b. This happens, for example, in erythrocytes as they wriggle through narrow passageways [4], during the pulling of tethers by kinesine motor proteins [18], in cleavage of cells during the last stage of cell division [2], and in the formation of vesicles from existing membranes by budding [3].…”

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confidence: 99%

Thermal Undulations of Lipid Bilayers Relax by Intermonolayer Friction at Submicrometer Length Scales

2006

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The time correlation functions of the thermal undulations of a lipid membrane have been studied by molecular dynamics simulations of a coarse-grained bilayer model. We observe a double-exponential decay, with relaxation rates in good agreement with the theory by Seifert and Langer, [Europhys. Lett. 23, 71 (1993)]. Intermonolayer friction resulting from local velocity differences between the two monolayers is shown to be the dominant dissipative mechanism for fluctuations with wave lengths below approximately -0.1 microm.

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“…The bilayer structure implies indeed that bending necessarily leads to a stretching of one of the monolayers and a compression of the other [9,10]. This fact has been recognized as being crucial to the understanding of the energetics [11] and the dynamics of conformational changes of lipid bilayer membranes [12,13].…”

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confidence: 99%

“…Following the idea put forward by Evans and Young [12,14], Seifert and co-workers have postulated hybrid curvature modes, for which bending is coupled to dilational motion, as an alternative class, other than pure bending modes, for producing curvature motion in planar bilayer membranes [15,16]. Intrinsically, this class of motion engenders a difference in the lipid concentration of each monolayer, which consequently flow at a different velocity; this is because hybrid modes mainly dissipate energy through frictional sliding between both monolayers.…”

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Bimodal Spectrum for the Curvature Fluctuations of Bilayer Vesicles: Pure Bending plus Hybrid Curvature-Dilation Modes

et al. 2009

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We study thermal undulations of giant bilayer vesicles by flickering spectroscopy. The experimental fluctuation spectra are scrutinized in view of the classical Helfrich theory. Pure bending modes are revealed to be unable to predict the large fluctuations systematically found at a high wave vector. Hybrid curvature-dilational modes are then invoked as a more efficient mode of motion in producing high curvatures. A bimodal spectrum of the thermal undulations has been theoretically developed for the shell-like topology. Reconciliation between experiments and theory is achieved when this bimodal spectrum is considered.

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Dynamic Coupling and Nonlocal Curvature Elasticity in Bilayer Membranes

Cited by 22 publications

References 11 publications

Front Progagation in the Pearling Instability of Tubular Vesicles

Front Progagation in the Pearling Instability of Tubular Vesicles

Thermal Undulations of Lipid Bilayers Relax by Intermonolayer Friction at Submicrometer Length Scales

Bimodal Spectrum for the Curvature Fluctuations of Bilayer Vesicles: Pure Bending plus Hybrid Curvature-Dilation Modes

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