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Related papers: Effective spring constants for the elastically cou…

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We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotropic and homogeneous local elasticity tensor in planar linear…

Analysis of PDEs · Mathematics 2015-07-23 Dag Lukkassen , Annette Meidell , Klas Pettersson

The influence of an electric field on a poorly conductive membrane such as a lipid bilayer is studied theoretically. The unbalanced electric stress created by an ionic current across a non-perfectly flat membrane gives rise to a…

Soft Condensed Matter · Physics 2009-11-07 Pierre Sens , Hervé Isambert

Simulating protein-membrane interactions is an important and dynamic area of research. A proper definition of electrostatic forces on membrane surfaces is necessary for developing electromechanical models of protein-membrane interactions.…

Analysis of PDEs · Mathematics 2013-09-24 Michael Mikucki , Y. C. Zhou

The free energy of inserting a protein into a membrane is determined by considering the variation in the spectrum of thermal fluctuations in response to the presence of a rigid inclusion. Both numerically and through a simple analytical…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Oded Farago

Many cell functions require a concerted effort from multiple membrane proteins, for example, for signaling, cell division, and endocytosis. One contribution to their successful self-organization stems from the membrane deformations that…

Soft Condensed Matter · Physics 2023-06-21 Ali Azadbakht , Billie Meadowcroft , Juraj Májek , Anđela Šarić , Daniela J. Kraft

We present a minimal model for simulating dynamics of assorted lipid assemblies in a computationally efficient manner. Our model is particle-based and consists of coarse-grained beads put together on a modular platform to give generic…

Chemical Physics · Physics 2019-10-15 John M. A. Grime , Jesper J. Madsen

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

The instability and periodic deformation of bilayer membranes during freezing processes are studied as a function of the difference of the shape energy between the high and the low temperature membrane states. It is shown that there exists…

Soft Condensed Matter · Physics 2015-06-25 Yan Jie , Zhou Haijun , Ou-Yang Zhong-can

The use of excessively long timesteps in dissipative particle dynamics simulations may produce simulation artifacts due to the generation of configurations which are not representative of the desired canonical ensemble. The configurational…

Statistical Mechanics · Physics 2007-05-23 Michael P. Allen

The aim of this work is to revisit the phenomenological theory of the interaction between membrane inclusions, mediated by the membrane fluctuations. We consider the case where the inclusions are separated by distances larger than their…

Soft Condensed Matter · Physics 2022-12-28 E. S. Pikina , A. R. Muratov , E. I. Kats , V. V. Lebedev

A simultaneous variational principle is introduced that offers a novel avenue to the description of the equilibrium configurations, and at the same time of the elementary excitations, or undulations, of fluid lipid membranes, described by a…

Fluid Dynamics · Physics 2018-01-10 Riccardo Capovilla

We review recent molecular dynamics simulations of thermally activated undulations and defects in the lamellar $L_\alpha$ phase of a binary amphiphile-solvent mixture, using an idealized molecular coarse-grained model: Solvent particles are…

Soft Condensed Matter · Physics 2009-11-11 Claire Loison , Michel Mareschal , Friederike Schmid

We present a theoretical description of the thermal fluctuations in a solid-supported stack of lipid bilayers, for the case of vanishing surface tension $\gamma = 0$ and in the framework of continuous smectic elasticity. The model is…

Soft Condensed Matter · Physics 2015-04-10 Doru Constantin , Ulrike Mennicke , Chenghao Li , Tim Salditt

When a colloidal particle adheres to a fluid membrane, it induces elastic deformations in the membrane which oppose its own binding. The structural and energetic aspects of this balance are theoretically studied within the framework of a…

Soft Condensed Matter · Physics 2009-11-10 Markus Deserno

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

A theory and computational method are provided for the calculation of lipid membranes elastic parameters, which overcomes the difficulties of the existing approaches and can be applied not only to single-component but also to…

Soft Condensed Matter · Physics 2023-07-06 Maksim A. Kalutsky , Timur R. Galimzyanov , Konstantin V. Pinigin

Understanding interactions between membranes requires measurements on well-controlled systems close to natural conditions, in which fluctuations play an important role. We have determined, by grazing incidence X-ray scattering, the…

A minimalist simulation model for lipid bilayers is presented. Each lipid is represented by a flexible chain of beads in implicit solvent. The hydrophobic effect is mimicked through an intermolecular pair potential localized at the…

Statistical Mechanics · Physics 2009-11-11 Grace Brannigan , Peter F. Philips , Frank L. H. Brown

The effect of rigid inclusions on the phase behavior of a film containing a mixture of lipid molecules is investigated. In the proposed model, the inclusion-induced deformation of the film, and the resulting energy cost are strongly…

Soft Condensed Matter · Physics 2009-10-31 P. Sens , S. Safran

How internal forces are transduced into motion through soft, fluid membranes remains a fundamental question in the study of active systems. To investigate this coupling, we develop a minimal system consisting of a single ferromagnetic…

Soft Condensed Matter · Physics 2025-07-11 Paula Magrinya , Arin Escobar Ortiz , Juan L. Aragones , Laura R. Arriaga