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Cell adhesion proteins typically form stable clusters that anchor the cell membrane to its environment. Several works have suggested that cell membrane protein clusters can emerge from a local feedback between the membrane curvature and the…

Soft Condensed Matter · Physics 2023-08-16 Shao-Zhen Lin , Jacques Prost , Jean-Francois Rupprecht

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic…

Soft Condensed Matter · Physics 2007-05-23 A. Concha , J. W. McIver , P. Mellado , D. Clarke , O. Tchernyshyov , R. L. Leheny

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

Cellularized tissue and polymer networks can both transition from floppy to rigid as a function of their control parameters, and, yet, the two systems often mechanically interact, which may affect their respective rigidities. To study this…

Cell Behavior · Quantitative Biology 2020-06-30 Amanda Parker , M. Cristina Marchetti , M. Lisa Manning , J. M. Schwarz

Many proteins and peptides have an intrinsic capacity to sense and induce membrane curvature, and play crucial roles for organizing and remodelling cell membranes. However, the molecular driving forces behind these processes are not well…

Biological Physics · Physics 2023-07-19 Jordi Gómez-Llobregat , Federico Elías-Wolff , Martin Lindén

Adsorption of proteins onto membranes can alter the local membrane curvature. This phenomenon has been observed in biological processes such as endocytosis, tubulation and vesiculation. However, it is not clear how the local surface…

Cell Behavior · Quantitative Biology 2016-04-28 Padmini Rangamani , Kranthi Kiran Mandadapu , George Oster

Motivated by recent experimental work on multicomponent lipid membranes supported by colloidal scaffolds, we report an exhaustive theoretical investigation of the equilibrium configurations of binary mixtures on curved substrates. Starting…

Soft Condensed Matter · Physics 2018-09-12 Piermarco Fonda , Melissa Rinaldin , Daniela J. Kraft , Luca Giomi

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

Recent experiments have elucidated the physical properties of kinetoplasts, which are chain-mail-like structures found in the mitochondria of trypanosome parasites formed from catenated DNA rings. Inspired by these studies, we use Monte…

Soft Condensed Matter · Physics 2021-10-26 James M. Polson , Edgar J. Garcia , Alexander R. Klotz

We develop the elastic theory for inversion-asymmetric tethered membranes and use it to identify and study their possible phases. Asymmetry in a tethered membrane causes spontaneous curvature, which in general depends upon the local…

Statistical Mechanics · Physics 2019-06-05 Tirthankar Banerjee , Niladri Sarkar , John Toner , Abhik Basu

Tumor spheroids are in vitro three-dimensional, cellular collectives consisting of cancerous cells. Embedding these spheroids in an in vitro fibrous environment, such as a collagen network, to mimic the extracellular matrix (ECM) provides…

Curvature-sensing and curvature-remodeling proteins are known to reshape cell membranes, and this remodeling event is essential for key biophysical processes such as tubulation, exocytosis, and endocytosis. Curvature-inducing proteins can…

Biological Physics · Physics 2015-10-13 Richard W. Tourdot , N. Ramakrishnan , Ravi Radhakrishnan

In the framework of a phase field model of a single cell crawling on a substrate, we investigate how the properties of the cell membrane affect the shape and motility of the cell. Since the membrane influences the cell dynamics on multiple…

Soft Condensed Matter · Physics 2016-03-23 Benjamin Winkler , Igor S. Aranson , Falko Ziebert

We amplify previous arguments why mean curvature should be used as measure of integration in calculating the effective bending rigidity of fluid membranes subjected to a weak background curvature. The stiffening of the membrane by its…

Statistical Mechanics · Physics 2009-10-31 H. A. Pinnow , W. Helfrich

Computational models have become an essential part of exploratory protocols in cell biology, as a complement to in vivo or in vitro experiments. These virtual models have the twofold advantage of enabling access to new types of data and…

Medical Physics · Physics 2021-12-20 Maxime Vassaux , Laurent Pieuchot , Karine Anselme , Maxence Bigerelle , Jean-Louis Milan

Directed growth, anisotropic cell shapes, and confinement drive self-organization in multicellular systems. We investigate the influence of particle shape on the distribution and dynamics of nematic microdomains in a minimal in-silico model…

Soft Condensed Matter · Physics 2025-12-03 Jonas Isensee , Philip Bittihn

We review theoretical results for the adhesion-induced phase behavior of biomembranes. The focus is on models in which the membranes are represented as discretized elastic sheets with embedded adhesion molecules. We present several…

Soft Condensed Matter · Physics 2007-09-25 Thomas R. Weikl , Reinhard Lipowsky

The deformability of vesicles critically influences their engulfment by lipid membranes, a process central to endocytosis, viral entry, drug delivery, and intercellular transport. While theoretical models have long predicted this influence,…

Soft Condensed Matter · Physics 2025-07-24 Stijn van der Ham , Alexander Brown , Halim Kusumaatmaja , Hanumantha Rao Vutukuri

Shear-flow-induced structure formation in surfactant-water mixtures is investigated numerically using a meshless-membrane model in combination with a particle-based hydrodynamics simulation approach for the solvent. At low shear rates,…

Soft Condensed Matter · Physics 2013-07-02 Hayato Shiba , Hiroshi Noguchi , Gerhard Gompper

The molecular self-assembly of various structures such as micelles and vesicles has been the subject of comprehensive studies. Recently, a new approach to design these structures, the frame-guided assembly, has been developed to progress…

Chemical Physics · Physics 2022-05-11 Simon Raschke , Andreas Heuer