Interactions between proteins bound to biomembranes

Evans, Arthur A.; Turner, Matthew S.; Sens, Pierre

doi:10.1103/physreve.67.041907

Cited by 78 publications

(89 citation statements)

References 41 publications

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“…This phenomenon has been observed experimentally 1 and given rather substantial theoretical reflections. [2][3][4][5][6][7][8][9][10][11] In a sufficiently abstract sense it is the old story of particles interacting through fields to which they happen to couple (like charges through the electromagnetic field or masses through space-time), except, maybe, that the field happens to be rather explicitly visible. However, the state of affairs is not quite as drab, because owing largely to the geometric origin of the underlying theory (membrane geometry determines membrane energetics through the Helfrich Hamiltonian…”

Section: Introductionmentioning

confidence: 99%

Membrane-mediated interactions between circular particles in the strongly curved regime

Reynwar

Deserno

2011

Soft Matter

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Particles binding to a fluid lipid membrane can induce bilayer deformations, for instance when these particles are curved. Since the energy of two overlapping warp fields depends on the mutual distance between the two particles creating them, they will experience forces mediated by the curvature of the membrane. If the deformations are sufficiently weak, the associated differential equations for the membrane shape are linear, and the resulting interactions are understood very well; but very little is known for stronger curvature imprint, owing to the highly nonlinear nature of the problem. Here we numerically calculate the magnitude of such membrane-mediated interactions in the case of two axisymmetric particles over a wide range of curvature imprints, deep into the nonlinear regime. We show that over an intermediate distance range the sign of the force reverses beyond a sufficiently strong deformation. These findings are quantitatively confirmed by a simple analytical close-distance expansion. The sign flip can be traced to a change in magnitude between the two principal curvatures midway between the two particles, which can only occur at sufficient particle tilt, a condition which is by construction ruled out in the linearized description. We also show these large perturbation results to agree with coarse-grained molecular dynamics simulations and suggest that a favorable comparison is indeed more likely to hold in the strongly deformed regime.

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Section: Introductionmentioning

confidence: 99%

Membrane-mediated interactions between circular particles in the strongly curved regime

Reynwar

Deserno

2011

Soft Matter

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“…(3) and modifications thereof have been found to capture the basic experimental phenomenology of bilayer-protein interactions in a wide range of experimental systems [4-11, 24-28, 31, 38-47, 81-83, 88-97], only involve parameters which can be measured directly in experiments, and are simple enough to allow analytic solutions. Analogous models have been formulated [7,48] to describe protein-induced curvature deformations [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64] and fluctuation-mediated interactions [49,[61][62][63][64][65][66][67][68]. In general, thickness-, curvature-, and fluctuation-mediated interactions all contribute to bilayer-mediated interactions between integral membrane proteins, but the relative strengths of these interactions depend on the specific experimental system under consideration.…”

Section: Discussionmentioning

confidence: 99%

“…(3) and the corresponding "zeroth-order" models [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] capturing curvature-and fluctuation-mediated protein interactions absorb the molecular details of lipids and membrane proteins into effective material parameters. To provide a more detailed description of bilayer-protein interactions, a number of extensions and refinements of these models have been developed [44,45,[69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86].…”

Section: Discussionmentioning

confidence: 99%

“…According to this classic theory, membrane proteins may, in addition to thickness-mediated interactions [31,[39][40][41][42][43][44][45][46][47], also interact [7,48] via bilayer curvature deformations [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64] and bilayer fluctuations [49,[61][62][63][64][65][66][67][68]. While the competition between thickness-, curvature-, and fluctuation-mediated protein interactions depends on the properties of the specific lipids and membrane proteins under consideration, one generally expects [7,31] that thickness-mediated protein interactions are strong and short-ranged, and that curvature-and fluctuation-mediated protein interactions are weak and long-ranged.…”

Section: Introductionmentioning

confidence: 99%

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Bilayer-thickness-mediated interactions between integral membrane proteins

et al. 2016

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Hydrophobic thickness mismatch between integral membrane proteins and the surrounding lipid bilayer can produce lipid bilayer thickness deformations. Experiment and theory have shown that protein-induced lipid bilayer thickness deformations can yield energetically favorable bilayermediated interactions between integral membrane proteins, and large-scale organization of integral membrane proteins into protein clusters in cell membranes. Within the continuum elasticity theory of membranes, the energy cost of protein-induced bilayer thickness deformations can be captured by considering compression/expansion of the bilayer hydrophobic core, membrane tension, and bilayer bending, resulting in biharmonic equilibrium equations describing the shape of lipid bilayers for a given set of bilayer-protein boundary conditions. Here we develop a combined analytic and numerical methodology for the solution of the equilibrium elastic equations associated with protein-induced lipid bilayer deformations. Our methodology allows accurate prediction of thickness-mediated protein interactions for arbitrary protein symmetries at arbitrary protein separations and relative orientations. We provide exact analytic solutions for cylindrical integral membrane proteins with constant and varying hydrophobic thickness, and develop perturbative analytic solutions for noncylindrical protein shapes. We complement these analytic solutions, and assess their accuracy, by developing both finite element and finite difference numerical solution schemes. We provide error estimates of our numerical solution schemes and systematically assess their convergence properties. Taken together, the work presented here puts into place an analytic and numerical framework which allows calculation of bilayer-mediated elastic interactions between integral membrane proteins for the complicated protein shapes suggested by structural biology and at the small protein separations most relevant for the crowded membrane environments provided by living cells.

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“…If there is no such structure there can be no such forces. This leaves the bending moment sketched in Fig.4 (right panel) as the dominant mechanism for local membrane deformation [23]. The inclusion pushes down on the membrane with its 'arms' and pulls up with its 'body' but isn't connected to any other structure.…”

Section: Caveolae As a Thermodynamic Phase Separation Of Membrane Promentioning

confidence: 99%