Local contacts of membranes and strings

Hiergeist, Christin; Lipowsky, Reinhard

doi:10.1016/s0378-4371(97)00297-5

Cited by 13 publications

(16 citation statements)

References 20 publications

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“…Since the contact probability is proportional to λ −χr , actual contacts with the wall are much rarer than one collision per deflection length if χ r > 1. An analogous finding has been pointed out in reference [32] in the context of fluid two-dimensional membranes. The deflection length λ is the correlation length of the segment distribution.…”

Section: Segment Distribution In Microchannelssupporting

confidence: 83%

Characterization of single semiflexible filaments under geometric constraints

2008

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Abstract. Confinement effects on single semiflexible macromolecules are of central importance for a fundamental understanding of cellular processes involving biomacromolecules. To analyze the influence of confinement on the fluctuations of semiflexible macromolecules we study individual actin filaments in straight and curved microchannels. We experimentally characterize the segment distributions for fluctuating semiflexible filaments in microchannels as a function of the channel width. Moreover, the effect of channel curvature on the filament fluctuations is investigated. We find quantitative agreement between experimental results, Monte Carlo simulations, and the analytical description. This allows for determination of the persistence length of actin filaments, the deflection length, which characterizes the confinement effects, and the scaling exponents for the segment distribution of semiflexible macromolecules.PACS. 87.16.Ka Filaments, microtubules, their networks, and supramolecular assemblies -87.16.Ac Theory and modeling; computer simulation -82.37.Rs Single molecule manipulation of proteins and other biological molecules

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Section: Segment Distribution In Microchannelssupporting

confidence: 83%

Characterization of single semiflexible filaments under geometric constraints

2008

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“…Local contacts have also been studied for 1-dimensional lines (or strings or directed walks) governed by line tension [27,28,29,30] and for tensionless membranes [30]. In the following sections, we will study these quantities for two and three interacting surfaces governed by tension.…”

Section: Local Contactsmentioning

confidence: 99%

Critical behavior of interacting surfaces with tension

1998

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Dedicated to Johannes Zittartz on the occasion of his 60th birthday.Abstract. Wetting phenomena, molecular protrusions of lipid bilayers and membrane stacks under lateral tension provide physical examples for interacting surfaces with tension. Such surfaces are studied theoretically using functional renormalization and Monte Carlo simulations. The critical behavior arising from thermally-excited shape fluctuations is determined both for global quantities such as the mean separation of these surfaces and for local quantities such as the probabilities for local contacts.PACS. 64.60.-i General studies of phase transitions -68.35.Ct Interface structure and roughness

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“…However, if we are concerned for example with the membrane as the object of our study, its surface area is preserved and always constant. Therefore the energy should be determined by taking into account the next order term like x (∆φ(x)) 2 , which may be regarded as the curvature of φ, see [145].…”

Section: Hamiltonianmentioning

confidence: 99%

“…[226] for polynomials P in higher dimensions (i.e., at the transient regime: d ≥ 3 when P (a) = a). The physical motivation comes from [145].…”

Section: Remark 72 When D = 1 the Height Variables Behave As |φ(X)mentioning

confidence: 99%