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A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a…

Analysis of PDEs · Mathematics 2016-06-29 Charles M. Elliott , Carsten Gräser , Graham Hobbs , Ralf Kornhuber , Maren-Wanda Wolf

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

Eukaryote cells have a flexible shape, which dynamically changes according to the function performed by the cell. One mechanism for deforming the cell membrane into the desired shape is through the expression of curved membrane proteins.…

Biological Physics · Physics 2018-12-05 Miha Fošnarič , Samo Penič , Aleš Iglič , Veronika Kralj-Iglič , Mitja Drab , Nir Gov

The transport of particles across lipid-bilayer membranes is important for biological cells to exchange information and material with their environment. Large particles often get wrapped by membranes, a process which has been intensively…

Soft Condensed Matter · Physics 2024-06-04 Jiarul Midya , Thorsten Auth , Gerhard Gompper

Membrane proteins and lipids can self-assemble into membrane protein polyhedral nanoparticles (MPPNs). MPPNs have a closed spherical surface and a polyhedral protein arrangement, and may offer a new route for structure determination of…

Biological Physics · Physics 2017-04-28 Di Li , Osman Kahraman , Christoph A. Haselwandter

We consider the hydrodynamics of lipid bilayers containing transmembrane proteins of arbitrary shape. This biologically-motivated problem is relevant to the cell membrane, whose fluctuating dynamics play a key role in phenomena ranging from…

Soft Condensed Matter · Physics 2016-10-10 Andrew Callan-Jones , Marc Durand , Jean-Baptiste Fournier

Protein structures can be studied as complex networks of interacting amino acids. We study proteins of different structural classes from the network perspective. Our results indicate that proteins, regardless of their structural class, show…

Molecular Networks · Quantitative Biology 2007-11-19 Ganesh Bagler , Somdatta Sinha

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

We review the theoretical analyses and simulations of the interactions between curvature-inducing proteins and biomembranes. Laterally isotropic proteins induce spherical budding, whereas anisotropic proteins, such as Bin/Amphiphysin/Rvs…

Soft Condensed Matter · Physics 2023-03-10 Hiroshi Noguchi

Cooperative binding affects many processes in biology, but it is commonly addressed only in equilibrium. In this work we explore dynamical cooperativity in driven systems, where the cooperation occurs because some of the bonds change the…

Biological Physics · Physics 2015-05-13 Jørgen Kjoshagen Trømborg , Alfredo Alexander-Katz

Membrane organization is essential for cellular functions such as signal transduction and membrane trafficking. A major challenge is to understand the lateral heterogeneous structures in membranes and membrane fluidity in the presence of…

Soft Condensed Matter · Physics 2007-11-09 Chun-Lai Ren , Yu-qiang Ma

Intracellular protein patterns regulate a variety of vital cellular processes such as cell division and motility, which often involve dynamic changes of cell shape. These changes in cell shape may in turn affect the dynamics of…

Pattern Formation and Solitons · Physics 2023-07-19 Laeschkir Würthner , Andriy Goychuk , Erwin Frey

Mechanosensitive channels are ion channels activated by membrane tension. We investigate the influence of bacterial mechanosensitive channels spatial distribution on activation (gating). Based on elastic short-range interactions we map this…

Biological Physics · Physics 2020-03-24 Ksenia Guseva , Marco Thiel , Ian Booth , Samantha Miller , Celso Grebogi , Alessandro de Moura

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Biological membranes are dynamic surfaces whose shape and function are critically influenced by protein inclusions (PIs). While membrane deformations induced by PIs have been extensively studied in the small-deformation regime, a variety of…

Biological Physics · Physics 2026-01-23 Gaetano Ferraro , Michele Castellana

We introduce a simulation strategy to consistently couple continuum biomembrane dynamics to the motion of discrete biological macromolecules residing within or on the membrane. The methodology is used to study the diffusion of integral…

Soft Condensed Matter · Physics 2009-05-26 Ali Naji , Paul J. Atzberger , Frank L. H. Brown

We study the effect of membrane proteins on the shape, composition and thermodynamic stability of the surrounding membrane. When the coupling between membrane composition and curvature is strong enough the nearby composition and shape both…

Soft Condensed Matter · Physics 2015-03-11 S. Alex Rautu , George Rowlands , Matthew S. Turner

Colloids and proteins alike can bind to lipid bilayers and move laterally in these two-dimensional fluids. Inspired by proteins that generate membrane curvature, sense the underlying membrane geometry, and migrate to high curvature sites,…

Current experimental and theoretical studies on the effect of intermolecular interactions on molecular conduction appear to be in conflict with each other. In particular, some experimental results, e.g., the observation of 2-dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-07-23 A. Landau , L. Kronik , A. Nitzan