Entropic attraction of adhesion bonds toward cell boundaries

Weil, Noam; Farago, Oded

doi:10.1103/physreve.84.051907

Cited by 2 publications

(5 citation statements)

References 26 publications

(32 reference statements)

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“…On the other hand, the latter depletion-like interactions may play a role in biomembranes and this type of domain formation can be induced not only in adhesion anchor proteins but also in other membrane-associated proteins. It is reported that the adhesion sites are accumulated on fixed membrane boundary [11]. The adhesion sites and other proteins can likely form a domain at a specific region in a plasma membrane via interactions with the cytoskeleton.…”

Section: D Lattice Modelmentioning

confidence: 99%

“…Several groups have been investigated this entropic interaction theoretically [7,[9][10][11][12] and via simulations [8,9]. These studies have reported a weak attraction between adhesion sites, which induces small temporal clusters.…”

Section: Introductionmentioning

confidence: 99%

“…It is mediated by specific (ligand-receptor) and non-specific interactions. Recently, lateral interactions between ligand-receptor adhesion sites in membranes have been received growing attention [1][2][3][4][5][6][7][8][9][10][11][12][13]. The cooperative aggregation of the adhesion sites yields various patterns of adhesion domains and also morphological changes in cells and liposomes.…”

mentioning

confidence: 99%

“…Currently, entropic interactions between (permanently bonded) ligand-receptor sites is a topic of active discussion [7][8][9][10][11][12]. The membrane height fluctuations yield a repulsive force f ∼ d −3 between tensionless fluid membranes with a neighboring membrane distance d [14].…”

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confidence: 99%

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Entropy-driven aggregation in multilamellar membranes

Noguchi¹

2013

EPL

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Membrane-fluctuation-induced attraction between ligand-receptor sites binding neighboring membranes is studied using meshless membrane simulations and the Weil-Farago two-dimensional lattice model. For the adhesion sites binding two membranes, this entropic interaction is too weak by itself for the adhesion sites to form a large stable domain. However, it is found that this attraction is enhanced sufficiently to induce large domains either when the sites bind three or more neighboring membranes together or have anchors that harden surrounding membranes. The latter effect is understood by the Asakura-Oosawa type of effective potential in the depletion theory.

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Section: D Lattice Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Entropy-driven aggregation in multilamellar membranes

Noguchi¹

2013

EPL

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“…There is extensive literature on this topic, and the interested reader can consult recent publications [18,19]. Yet another entropic force is proposed to act between surface-membrane bio-adhesion bonds [20].…”

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confidence: 99%

Conformal field theory of critical Casimir interactions in 2D

Bimonte¹,

Emig²,

Kardar³

2013

EPL

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Thermal fluctuations of a critical system induce long-ranged Casimir forces between objects that couple to the underlying field. For two dimensional (2D) conformal field theories (CFT) we derive an exact result for the Casimir interaction between two objects of arbitrary shape, in terms of (1) the free energy of a circular ring whose radii are determined by the mutual capacitance of two conductors with the objects' shape; and (2) a purely geometric energy that is proportional to conformal charge of the CFT, but otherwise super-universal in that it depends only on the shapes and is independent of boundary conditions and other details. 03.70.+k, 42.25.Fx Objects embedded in a medium constrain its natural fluctuations, resulting in fluctuation-induced forces [1]. The most naturally occurring examples result from modification of electromagnetic fluctuations, manifested variously in van der Waals interactions [2] (between atoms and molecules) to Casimir forces (between conducting plates) [3]. While fluctuations of the latter are primarily quantum in origin, thermal fluctuations of correlated fluids lead to similar interactions, most notably at a critical point (where correlation lengths are macroscopic) [4, 5]. Critical fluctuation-induced forces have been observed in helium [6] and in binary liquid mixtures [7-9] Critical fluctuations of a binary mixture were recently employed to manipulate and assemble colloidal particles [10].Biological membranes are mainly composed of mixtures of lipid molecules, and could potentially be poised close to a critical point demixing point [11,12], in the two-dimensional Ising universality class. It has been suggested that membrane concentration fluctuations could thus lead to critical Casimir forces between inclusions on such membranes, motivating computation of such forces between discs embedded in the critical Ising model [13]. Membranes (and interfaces) also undergo thermal shape fluctuations governed by the energy costs of bending (and surface tension) [14]. Modification of these fluctuations have also been proposed as a source of interactions amongst inclusions on membranes [15,16], possibly accounting for patterns of colloidal particles at an interface [17]. There is extensive literature on this topic, and the interested reader can consult recent publications [18,19]. Yet another entropic force is proposed to act between surface/membrane bio-adhesion bonds [20].Conformal field theories (CFTs) have proved highly successful in studies of two dimensional (2D) systems at criticality [21,22]. Various boundary conditions have been examined for Ising (or 3-state Potts) model on a cylinder [23]. Connections to Casimir forces between parallel plates [24,25] and spheres [26,27] have been explored. Non-spherical particles at large separations have been studied with the small particle operator expansion [28,29]. However, a general formulation for interactions between two (or more) objects of arbitrary shape embedded in a CFT appears to be lacking. Some special cases recently studied inc...

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Entropic attraction of adhesion bonds toward cell boundaries

Cited by 2 publications

References 26 publications

Entropy-driven aggregation in multilamellar membranes

Entropy-driven aggregation in multilamellar membranes

Conformal field theory of critical Casimir interactions in 2D

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