Revisiting the entropic force between fluctuating biological membranes

Hanlumyuang, Yuranan; Liu, Liping; Sharma, Pradeep

doi:10.1016/j.jmps.2013.09.011

Cited by 30 publications

(26 citation statements)

References 24 publications

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“…In recent studies Helfrich’s assumptions have been revisited and the force has been shown to exhibit a more complex behavior. For extremely small separations, it scales as 1/Δ h , for intermediate distances it follows Helfrich’s predictions and for larger separations, it shows an exponential decay (Freund, 2013)(Sharma, 2013)(Wennerström, Olsson, & Israelachvili, 2013)(Hanlumyuang, Liu, & Sharma, 2014). It would be important to understand how the fusion proteins overcome this force to gain insight into pore creation.…”

Section: A Physical View Of Nuclear Envelope Architecturesupporting

confidence: 60%

An Unresolved LINC in the Nuclear Envelope

2016

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The nuclear envelope segregates the nucleoplasm from the cytoplasm and is a key feature of eukaryotic cells. Nuclear envelope architecture is comprised of two concentric membrane shells which fuse at multiple sites and yet maintain a uniform separation of 30–50 nm over the rest of the membrane. Studies have revealed the roles for numerous nuclear proteins in forming and maintaining the architecture of the nuclear envelope. However, there is a lack of consensus on the fundamental forces and physical mechanisms that establish the geometry. The objective of this review is to discuss recent findings in the context of membrane mechanics in an effort to define open questions and possible answers.

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Section: A Physical View Of Nuclear Envelope Architecturesupporting

confidence: 60%

An Unresolved LINC in the Nuclear Envelope

2016

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“…Starting with the pioneering work of Helfrich (1978), this repulsive steric interaction has been studied using the classical model of a membrane fluctuating between two rigid plates (Janke and Kleinert, 1987;Bachmann et al, 2001;Freund, 2012Freund, , 2013Hanlumyuang et al, 2014). In contrast to fluid membranes, the twin boundaries are separated by a crystalline matrix which also undergoes deformation to accommodate the fluctuations of the neighboring interfaces.…”

Section: Entropic Interaction Between Fluctuating Twin Boundariesmentioning

confidence: 99%

“…Studies based on thermal fluctuations have also shown that membranes exert a repulsive entropic pressure on each other, due to steric effects, that depends on the inter-membrane distance (Helfrich, 1978;Janke and Kleinert, 1987;Bachmann et al, 2001;Freund, 2012Freund, , 2013Hanlumyuang et al, 2014). Unlike the extensive work on the steric interaction of membranes, the effect of the presence of multiple GBs on their thermal fluctuations has not been addressed before.…”

Section: Introductionmentioning

confidence: 99%

Entropic interaction between fluctuating twin boundaries

Chen¹,

Kulkarni²

2015

Journal of the Mechanics and Physics of Solids

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Nanotwinned metals have opened up exciting avenues for the design of high-strength, highductility materials owing to the extraordinary properties of twin boundaries. The recent advances in the fabrication of nanostructured materials with twin lamella on the order of a mere few atomic layers call for a closer examination of the stability of these structural motifs, especially at high temperatures. This paper presents a study of the entropic interaction between fluctuating twin boundaries by way of atomistic simulations and statistical mechanics based analysis. The simulations reveal that fluctuations of twin boundaries are considerably enhanced in the presence of adjoining twin boundaries as their spacing, d, decreases.In addition, the theoretical analysis shows that fluctuating twin boundaries indeed exhibit an attractive entropic interaction which enhances their thermal fluctuations and that the entropic force decreases as 1/d 2 . This finite temperature interaction between twin boundaries is fundamentally distinct from the well-known repulsive entropic interaction followed by fluctuating lipid membranes as well as many crystalline membranes and interfaces. This rather surprising attraction between fluctuating twin boundaries is attributed to their shear coupled normal motion.

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“…The scaffold in turn affects the hydrodynamic damping of the membrane reflected in changes of the time dependent correlation function and the associated power spectrum, the so-called power spectral density (PSD) [15,[22][23][24]. Moreover, in the cellular environment, active processes couple with the membrane fluctuations [23][24][25][26][27][28][29][30][31][32][33], resulting in the violation of the fluctuationdissipation theorem in the activated state of the cell [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Statistical Mechanics of an Elastically Pinned Membrane: Equilibrium Dynamics and Power Spectrum

Janeš

Schmidt

Blackwell

et al. 2019

Biophysical Journal

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In biological settings membranes typically interact locally with other membranes or the extracellular matrix in the exterior, as well as with internal cellular structures such as the cytoskeleton. Characterization of the dynamic properties of such interactions presents a difficult task. Significant progress has been achieved through simulations and experiments, yet analytical progress in modelling pinned membranes has been impeded by the complexity of governing equations. Here we circumvent these difficulties by calculating analytically the time-dependent Green's function of the operator governing the dynamics of an elastically pinned membrane in a hydrodynamic surrounding and subject to external forces. This enables us to calculate the equilibrium power spectral density for an overdamped membrane pinned by an elastic, permanently-attached spring subject to thermal excitations. By considering the effects of the finite experimental resolution on the measured spectra, we show that the elasticity of the pinning can be extracted from the experimentally measured spectrum. Membrane fluctuations can thus be used as a tool to probe mechanical properties of the underlying structures. Such a tool may be particularly relevant in the context of cell mechanics, where the elasticity of the membrane's attachment to the cytoskeleton could be measured.

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Revisiting the entropic force between fluctuating biological membranes

Cited by 30 publications

References 24 publications

An Unresolved LINC in the Nuclear Envelope

An Unresolved LINC in the Nuclear Envelope

Entropic interaction between fluctuating twin boundaries

Statistical Mechanics of an Elastically Pinned Membrane: Equilibrium Dynamics and Power Spectrum

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