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Receptor-mediated endocytosis requires that the energy of adhesion overcomes the deformation energy of the plasma membrane. The resulting driving force is balanced by dissipative forces, leading to deterministic dynamical equations. While…

Subcellular Processes · Quantitative Biology 2019-11-20 Felix Frey , Falko Ziebert , Ulrich S. Schwarz

The quantitative understanding of membranes is still rooted in work performed in the 1970s by Helfrich and others, concerning amphiphilic bilayers. However, most biological membranes contain a wide variety of nonamphiphilic molecules too.…

Soft Condensed Matter · Physics 2014-06-10 Richard G. Morris

We have numerically investigated the behavior of driven non-cohesive granular media and found that two fixed large intruder particles, immersed in a sea of small particles, experience, in addition to a short range depletion force, a long…

Statistical Mechanics · Physics 2007-05-23 C. Cattuto , R. Brito , U. Marini Bettolo Marconi , F. Nori , R. Soto

Membrane wrapping underlies nanoparticle uptake during endocytosis, whereas the reverse process of membrane unwrapping accompanies particle expulsion and membrane fusion events. Existing theoretical descriptions typically focus on adhesion…

Biological Physics · Physics 2026-04-16 Yasin Ranjbar , Yujun Teng , Haleh Alimohammadi , Huajian Gao , Mattia Bacca

We theoretically study the elastic deformation of a fluid membrane induced by an adhering spherical colloidal particle within the framework of a Helfrich energy. Based on a full optimization of the membrane shape we find a continuous…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Thomas Bickel

The effective interaction energy of a colloidal sphere in a suspension containing small amounts of non-ionic polymers and a flat glass surface has been measured and calculated using total internal reflection microscopy (TIRM) and a novel…

Condensed Matter · Physics 2009-10-31 C. Bechinger , D. Rudhardt , P. Leiderer , R. Roth , S. Dietrich

We study membrane-protein interactions and membrane-mediated protein-protein interactions by Monte Carlo simulations of a generic coarse-grained model for lipid bilayers with cylindrical hydrophobic inclusions. The strength of the…

Biological Physics · Physics 2009-11-13 Beate West , Frank L. H. Brown , Friederike Schmid

In hydrodynamic descriptions of lipid bilayers, the membrane is often approximated as being impermeable to the surrounding, solute-containing fluid. However, biological and in vitro lipid membranes are influenced by their permeability and…

Soft Condensed Matter · Physics 2026-02-24 Amaresh Sahu

Biomembranes wrapping cells and organelles are not only the partitions that separate the insides but also dynamic fields for biological functions accompanied by membrane shape changes. In this review, we discuss the spatiotemporal patterns…

Soft Condensed Matter · Physics 2025-01-22 Hiroshi Noguchi

We develop a general formalism to calculate the force between beads attached to a flat $d$-dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of $d$ and the membrane…

High Energy Physics - Theory · Physics 2009-10-28 Eric D'Hoker , Pierre Sikivie , Youli Kanev

We study a model lipid bilayer composed of a mixture of two incompatible lipid types which have a natural tendency to segregate in the absence of membrane fluctuations. The membrane is mechanically characterized by a local bending rigidity…

Soft Condensed Matter · Physics 2007-05-23 D. S. Dean , M. Manghi

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…

Soft Condensed Matter · Physics 2013-06-25 Hiroshi Noguchi

We study the non-equilibrium dynamics of lipid membranes with proteins that actively pump ions across the membrane. We find that the activity leads to a fluctuating force distribution due to electrostatic interactions arising from variation…

Soft Condensed Matter · Physics 2015-05-30 B. Loubet , M. A. Lomholt

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

We use analytical calculations and Monte Carlo simulations to determine the thermal fluctuation spectrum of a membrane patch of a few tens of nanometer in size, whose corners are located at a fixed distance $d$ above a plane rigid surface.…

Soft Condensed Matter · Physics 2009-11-13 Oded Farago

In our study we investigate the behaviour of the net force (NF) emerging between an ellipsoidal particle and a thick plate (slab), when the interaction takes place in a near critical fluid medium with account for the omnipresent van der…

Statistical Mechanics · Physics 2019-03-27 G. S. Valchev , D. M. Dantchev

One of the most interesting phenomena in the soft-matter realm consists in the spontaneous formation of super-molecular structures (microphases) in condition of thermodynamic equilibrium. A simple mechanism responsible for this…

Soft Condensed Matter · Physics 2017-08-23 A. Imperio , D. Pini , L. Reatto

Particles diffusing near interfaces face anisotropic resistance to motion due to hydrodynamic interactions. While this has been extensively studied near \textit{hard} interfaces since the works of Lorentz and Brenner, our understanding of…

Soft Condensed Matter · Physics 2026-03-03 Ali Mohammadi , Zhen Li , Sophie Marbach , Micheline Abbas

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

Soft Condensed Matter · Physics 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

We calculate analytically the proportionality constant in the pressure law of a membrane between parallel walls from the strong-coupling limit of variational perturbation theory up to third order. Extrapolating the zeroth to third…

Condensed Matter · Physics 2009-10-31 M. Bachmann , H. Kleinert , A. Pelster