Interactions between membrane Inclusions on Fluctuating Membranes

Park, Jeong-Man; Lubensky, T. C.

doi:10.1051/jp1:1996125

Cited by 96 publications

(179 citation statements)

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“…A case in point is the development of membrane undulations at finite temperature, which in turn gives rise to algebraically decaying, fluctuation-induced interactions between membrane inclusions that are more rigid or softer than the background phase (15)(16)(17)(18)(19). Importantly for the present problem, it is well-known that the Lo domains are more rigid than the Ld ones, with a bending rigidity of k Lo $ 2 À 3 k Ld (20,21).…”

Section: Introductionmentioning

confidence: 86%

Lipid Domain Co-localization Induced by Membrane Undulations

Haataja

2017

Biophysical Journal

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Multicomponent lipid bilayer membranes display rich phase transition and associated compositional lipid domain formation behavior. When both leaflets of the bilayer contain domains, they are often found co-localized across the leaflets, implying the presence of a thermodynamic interleaflet coupling. In this work, it is demonstrated that fluctuation-induced interactions between domains embedded within opposing membrane leaflets provide a robust means to co-localize the domains. In particular, it is shown via a combination of a mode-counting argument, a perturbative calculation, and a non-perturbative treatment of a special case, that spatial variations in membrane bending rigidity associated with lipid domains embedded within the background phase always lead to an attractive interleaflet coupling with a magnitude of $ 0:01 k B T=nm 2 in simple model membrane systems. Finally, it is demonstrated that the fluctuation-induced coupling is very robust against membrane tension and substrate interactions.

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Section: Introductionmentioning

confidence: 86%

Lipid Domain Co-localization Induced by Membrane Undulations

Haataja

2017

Biophysical Journal

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“…These interactions occur because embedded membrane proteins impose constraints on the membrane. Variations in entropy and elastic energy contribute to long-range interactions [107,108].…”

Section: (B) Long-range Interactionsmentioning

confidence: 99%

“…This is achieved by modelling proteins by ellipses. It has been shown [108] that this can decrease the long-distance repulsion and even lead to attraction [110]. Finally, it has been argued that a torque applied to the proteins is also susceptible to affect the longrange pair potentials and even to enhance them [112].…”

Section: (B) Long-range Interactionsmentioning

confidence: 99%

“…This model only takes into account pairwise interaction potentials. A more refined analysis should include many-body interactions [106,108]. For instance, it has been shown that, under certain circumstances, repulsive forces between pairs of proteins can be counter-balanced by the attractive forces due to many-body attractions [114,115].…”

Section: (B) Long-range Interactionsmentioning

confidence: 99%

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What do diffusion measurements tell us about membrane compartmentalisation? Emergence of the role of interprotein interactions

2008

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The techniques of diffusion analysis based on optical microscopy approaches have revealed a great diversity of the dynamic organisation of cell membranes. For a long period, two frameworks have dominated the way of representing the membrane structure: the membrane skeleton fences and the lipid raft models. Progresses in the methods of data analysis have shed light on the features and consequently the possible origin of membrane domains: Inter-protein interactions play a role in confinement. Innovative developments pushing forward the spatiotemporal resolution limits are currently emerging, which are likely to provide in the future a detailed understanding of the intimate functional dynamic organisation of the cell membrane. Keywords Membrane domain . Diffusion . Protein interaction OverviewThe main function of membranes is to generate close compartments: The cell itself (by the plasma membrane) and also the nucleus (by nuclear envelope), the Golgi apparatus, the endoplasmic reticulum, various organelles or the vesicles which are involved in transport processes. Membranes delimit these structures and allow them to have a different composition from the rest of the cell by restricting the diffusion of ions and macromolecules. The specific transport of molecules or information across the membrane is devoted to membrane proteins. Membranes are essentially composed of lipid and proteins, each of them representing about 50% in weight. Lipids are amphiphilic molecules that spontaneously form a bilayer in water. Among the variety of lipids, cholesterol has a specific place since it is particularly abundant in eukaryotic cells. Cholesterol can modify the lipid molecular order [1] and is presumed to participate in lipid micro-phase separation (rafts) [2][3][4][5].Since the structure of biological membranes is maintained by non-covalent bonds, they have first been considered as a fluid lipid bilayer in which embedded proteins are free to diffuse [6]. After the advent of this fluid mosaic model postulating a random distribution of membrane molecules [6], experimental evidence showed that the proteins and lipids are distributed heterogeneously in the membrane. For example, incomplete recoveries were systematically observed in fluorescence recovery after photobleaching (FRAP; see "Appendix 1") experiments. The first indication of the presence of micrometer-sized domains was obtained by FRAP. Yechiel and Edidin found a decrease of the mobile fraction with increasing radius of the bleaching spot ([7, 8] and see "Appendix 1").The huge diversity of lipids and proteins implies that a very large number of combinatorial interactions can occur between them [9]. Since all lipids and proteins do not J Chem Biol (2008) [14,15]. Interactions of membrane proteins with the cytoskeleton or with the glycocalyx can also affect the membrane organisation and are likely to play a confining role [16]. A significant challenge of cell biology is to characterise and to understand not only the origin but also the role of these micrometric ...

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“…Typical membrane inclusions have a central hydrophobic region spanning the hydrophobic core of the membrane, and two polar extremities protruding outside [22]. Assuming a strong coupling between the lipids and the inclusion's boundary [23,20], which in general is not cylindrical, we model membrane inclusions as curvature sources [17], point-like as in [19]. Indeed, the size of the proteins is comparable with the short wavelength cut-off, i.e., the membrane thickness.…”

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confidence: 99%

N-body study of anisotropic membrane inclusions: Membrane mediated interactions and ordered aggregation

1999

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Abstract. We study the collective behavior of inclusions inducing local anisotropic curvatures in a flexible fluid membrane. The N -body interaction energy for general anisotropic inclusions is calculated explicitly, including multi-body interactions. Long-range attractive interactions between inclusions are found to be sufficiently strong to induce aggregation. Monte Carlo simulations show a transition from compact clusters to aggregation on lines or circles. These results might be relevant to proteins in biological membranes or colloidal particles bound to surfactant membranes.PACS. 87.15. The interplay between structural features and N -body interactions is a general physical problem arising in many different contexts, e.g., crystals structure [1], magnetic atom clusters [2,3], colloids in charged fluids [4], polyelectrolyte condensation [5,6], and protein aggregation in biological membranes [7]. N -body interactions can sometimes yield spectacular effects: non-pairwise summability of charge fluctuation forces can dramatically affect the stability of polyelectrolyte bundles [5]; three-body elastic interactions may induce aggregation of membrane inclusions, although two-body elastic interactions are repulsive [7]. In a system able to kinetically achieve equilibrium, the clusters formed are usually compact, however certain interactions may favor tenuous clusters. For instance, a recent N -body study has shown that above a critical strength of three-body interactions, the state of minimum energy is one in which all the particles are on a line [8]. It has also been observed recently that membrane mediated interactions can induce one-dimensional ring-like aggregates of colloidal particles bound to fluid vesicle membranes [9].Manifolds embedded in a correlated elastic medium can impose boundary conditions, or modify the elastic constants. This usually gives rise to mean-field forces, which are due to the elastic deformation of the medium, and to Casimir forces, which are due to the modification of its thermal fluctuations. Such interactions are generally non pairwise additive [10]. The elastic interactions between defects in solids [11] or in liquid crystals [12] are well known examples of mean-field forces. Casimir forces exist between manifolds embedded in correlated fluids, such as liquid crystals and superfluids [13,14,10], or critical mixtures [15]. Another interesting example is the interaction between inclusions in flexible membranes [16]: it has been shown that cone shaped membrane inclusions experience both long range attractive Casimir interactions and repulsive elastic interactions falling of as R −4 with separation R [17].In this Rapid Note, following Netz [18], we give exact results concerning the long range multi-body interactions among membrane inclusions that break the bilayer's updown symmetry. However, rather than supposing that the inclusions simply induce a local spontaneous curvature, we assume that the inclusions set a preferred curvature tensor [17,19]. This model is more realistic: the "pre...

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Interactions between membrane Inclusions on Fluctuating Membranes

Cited by 96 publications

References 10 publications

Lipid Domain Co-localization Induced by Membrane Undulations

Lipid Domain Co-localization Induced by Membrane Undulations

What do diffusion measurements tell us about membrane compartmentalisation? Emergence of the role of interprotein interactions

N-body study of anisotropic membrane inclusions: Membrane mediated interactions and ordered aggregation

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