Membrane fluctuations mediate lateral interaction between cadherin bonds

Fenz, Susanne F.; Bihr, Timo; Schmidt, Daniel R.; Merkel, Rudolf; Seifert, Udo; Sengupta, Kheya; Smith, Ana‐Sunčana

doi:10.1038/nphys4138

Cited by 101 publications

(116 citation statements)

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“…Finally, it is not clear how thermal fluctuations may affect the hydrodynamics of vesicles under adhesion. For example, does the fluctuating hydrodynamics in the thin film between two vesicles enhance adhesion to keep vesicles bound under linear flows as speculated in cells [83]? Recently Liu et al [84] used immersed boundary simulations to show that, at a separation distance of tens of nanometers, the thin film between the two membranes facilitates the coupling between membranes via strong hydrodynamic interactions.…”

Section: Resultsmentioning

confidence: 99%

Hydrodynamics and rheology of a vesicle doublet suspension

2019

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The dynamics of an adhesive two-dimensional vesicle doublet under various flow conditions is investigated numerically using a high-order, adaptive-in-time boundary integral method. In a quiescent flow, two nearby vesicles move slowly towards each other under the adhesive potential, pushing out fluid between them to form a vesicle doublet at equilibrium. A lubrication analysis on such draining of a thin film gives the dependencies of draining time on adhesion strength and separation distance that are in good agreement with numerical results. In a planar extensional flow we find a stable vesicle doublet forms only when two vesicles collide head-on around the stagnation point. In a microfluid trap where the stagnation of an extensional flow is dynamically placed in the middle of a vesicle doublet through an active control loop, novel dynamics of a vesicle doublet are observed. Numerical simulations show that there exists a critical extensional flow rate above which adhesive interaction is overcome by the diverging stream, thus providing a simple method to measure the adhesion strength between two vesicle membranes. In a planar shear flow, numerical simulations reveal that a vesicle doublet may form provided that the adhesion strength is sufficiently large at a given vesicle reduced area. Once a doublet is formed, its oscillatory dynamics is found to depend on the adhesion strength and their reduced area. Furthermore the effective shear viscosity of a dilute suspension of vesicle doublets is found to be a function of the reduced area. Results from these numerical studies and analysis shed light on the hydrodynamic and rheological consequences of adhesive interactions between vesicles in a viscous fluid.Keywords: Vesicle hydrodynamics, membrane adhesion, drop and bubble phenomena/drop interactions, interfacial flows/thin fluid films, rheology/flow confinement, biological fluid dynamics/collective behavior/clustering, emergence of patterns

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Section: Resultsmentioning

confidence: 99%

Hydrodynamics and rheology of a vesicle doublet suspension

2019

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“…As for any quadratic integral kernel, the Green's function g f (r − r ), and respectively g f (0) are associated with the spatial correlation function v f (r)v f (r ) and the mean square fluctuation amplitude v 2 f (r) of the free membrane, initially calculated by several groups (38,(54)(55)(56). The later is commonly denoted by 1/λ m (8,18,44). Hence,…”

Section: Green's Function For the Free Membranementioning

confidence: 99%

Statistical Mechanics of an Elastically Pinned Membrane: Static Profile and Correlations

Janeš

Stumpf

Schmidt

et al. 2019

Biophysical Journal

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The relation between thermal fluctuations and the mechanical response of a free membrane has been explored in great detail, both theoretically and experimentally. However, understanding this relationship for membranes, locally pinned by proteins, is significantly more challenging. Given that the coupling of the membrane to the cell cytoskeleton, the extracellular matrix and to other internal structures is crucial for the regulation of a number of cellular processes, understanding the role of the pinning is of great interest. In this manuscript we consider a single protein (elastic spring of a finite rest length) pinning a membrane modelled in the Monge gauge. First, we determine the Green's function for the system and complement this approach by the calculation of the mode coupling coefficients for the plane wave expansion, and the orthonormal fluctuation modes, in turn building a set of tools for numerical and analytic studies of a pinned membrane. Furthermore, we explore static correlations of the free and the pinned membrane, as well as the membrane shape, showing that all three are mutually interdependent and have an identical long-range behaviour characterised by the correlation length. Interestingly, the latter displays a non-monotonic behaviour as a function of membrane tension. Importantly, exploiting these relations allows for the experimental determination of the elastic parameters of the pinning. Last but not least, we calculate the interaction potential between two pinning sites and show that, even in the absence of the membrane deformation, the pinnings will be subject to an attractive force due to changes in membrane fluctuations.

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“…Biomembrane adhesion via a single type of receptor-ligand bond occurs in experiments with a single type of ligand that binds to a single type of receptor in cells [40][41][42], reconstituted vesicles [31,[43][44][45][46][47][48][49][50][51][52][53][54], or cell-membrane-derived vesicles [13]. The ligands in these experiments are either anchored in substratesupported membranes, or directly deposited on substrates.…”

Section: Elastic Models Of Biomembrane Adhesionmentioning

confidence: 99%

“…11(d)) [55,57]. To understand this pattern evolution, several groups have modelled and simulated the time-dependent pattern formation during adhesion [27,28,30,36,54,68,70,71,[128][129][130][131]. Monte Carlo simulations with a discretized elastic-membrane model indicate that the central TCR cluster is only formed if TCR molecules are actively transported by the cytoskeleton towards the center of the adhesion zone [28].…”

Section: Cooperative Protein Binding From Membrane Shape Fluctuationsmentioning

confidence: 99%

“…In addition, segregation of long and short bonds has been observed in experiments with reconstituted membranes that adhere via anchored DNA [137]. Segregation can also result from the interplay of specific receptor-ligand binding and generic adhesion if the minimum of the generic adhesion potential is located at membrane separations that are significantly larger than the lengths of the receptor-ligand complexes [54,66,138].…”

Section: Cooperative Protein Binding From Membrane Shape Fluctuationsmentioning

confidence: 99%

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