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Bistability is a major mechanism for cellular decision making and usually results from positive feedback in biochemical control systems. Here we show theoretically that bistability between unbound and bound states of adhesion clusters…

Subcellular Processes · Quantitative Biology 2010-02-24 T. Erdmann , U. S. Schwarz

Single receptor-ligand bonds have finite lifetimes, so that biological systems can dynamically react to changes in their environment. In cell adhesion, adhesion bonds usually act cooperatively in adhesion clusters. Outside the cellular…

Soft Condensed Matter · Physics 2007-05-23 T. Erdmann , U. S. Schwarz

Receptor-ligand binding is a critical first step in signal transduction and the duration of the interaction can impact signal generation. In mammalian cells, clustering of receptors may be facilitated by heterogeneous zones of lipids, known…

Subcellular Processes · Quantitative Biology 2009-11-10 Manoj Gopalakrishnan , Kimberly Forsten-Williams , Matthew A. Nugent , Uwe C. Tauber

We solve the stochastic equations for a cluster of parallel bonds with shared constant loading, rebinding and the completely dissociated state as an absorbing boundary. In the small force regime, cluster lifetime grows only logarithmically…

Soft Condensed Matter · Physics 2007-05-23 T. Erdmann , U. S. Schwarz

Adhesion interactions mediated by multiple bond types are relevant for many biological and soft matter systems, including the adhesion of biological cells and functionalized colloidal particles to various substrates. To elucidate advantages…

Biological Physics · Physics 2020-10-21 Anil K. Dasanna , Gerhard Gompper , Dmitry A. Fedosov

This paper considers a broadly biologically relevant question of a chain (such as a protein) binding to a sequence of receptors with matching multiple ligands distributed along the chain. This binding is critical in cell adhesion events,…

Soft Condensed Matter · Physics 2017-11-29 Samuel Bell , Eugene M. Terentjev

Collections of cells exhibit coherent migration during morphogenesis, cancer metastasis, and wound healing. In many cases, bigger clusters split, smaller sub-clusters collide and reassemble, and gaps continually emerge. The connections…

Biological Physics · Physics 2021-03-31 Ushasi Roy , Andrew Mugler

The adhesion of biological membranes is controlled by various types of receptor and ligand molecules. In this letter, we present a statistical-mechanical model for membranes that interact via receptor/ligand bonds of two different lengths.…

Soft Condensed Matter · Physics 2009-11-11 Mesfin Asfaw , Bartosz Rozycki , Reinhard Lipowsky , Thomas R. Weikl

We propose a model of mass-conserving heterogeneous nucleation to describe the dynamics of ligand-receptor binding in closed cellular compartments. When the ligand dissociation rate is small, competition among receptors for free ligands…

Soft Condensed Matter · Physics 2015-05-30 T. Chou , M. D'Orsogna

Intracellular signaling often arises from ligand-induced oligomerization of cell surface receptors. This oligomerization or clustering process is fundamentally a cooperative behavior between near-neighbor receptor molecules; the properties…

Soft Condensed Matter · Physics 2009-10-31 Chinlin Guo , Herbert Levine

The study of the interactions of living adherent cells with mechanically stable (visco)elastic materials enables understanding and exploiting physiological phenomena mediated by cell-extracellular communication. However, insight on the…

Cell membranes interact via anchored receptor and ligand molecules. Central questions on cell adhesion concern the binding affinity of these membrane-anchored molecules, the mechanisms leading to the receptor-ligand domains observed during…

Soft Condensed Matter · Physics 2009-06-10 Thomas R. Weikl , Mesfin Asfaw , Heinrich Krobath , Bartosz Rozycki , Reinhard Lipowsky

Biomimetic membranes in contact with a planar substrate or a second membrane are studied theoretically. The membranes contain specific adhesion molecules (stickers) which are attracted by the second surface. In the absence of stickers, the…

Soft Condensed Matter · Physics 2016-08-31 Thomas R. Weikl , David Andelman , Shigeyuki Komura , Reinhard Lipowsky

The adhesion of cell membranes is mediated by the binding of membrane-anchored receptor and ligand proteins. In this article, we review recent results from simulations and theory that lead to novel insights on how the binding equilibrium…

Biomolecules · Quantitative Biology 2016-06-15 Thomas R. Weikl , Jinglei Hu , Guang-Kui Xu , Reinhard Lipowsky

Adhesion between membranes is studied using a phenomenological model, where the inter-membrane distance is coupled to the concentration of sticker molecules on the membranes. The model applies to both for adhesion of two flexible membranes…

Soft Condensed Matter · Physics 2012-01-31 Shigeyuki Komura , David Andelman

We present a simple model of alignment of a large number of rigid bodies (modeled by rotation matrices) subject to internal rotational noise. The numerical simulations exhibit a phenomenon of first order phase transition with respect the…

Analysis of PDEs · Mathematics 2020-12-01 Amic Frouvelle

We investigate clustering of malignant glioma cells. \emph{In vitro} experiments in collagen gels identified a cell line that formed clusters in a region of low cell density, whereas a very similar cell line (which lacks an important…

We analyze the stability of micro-domains of ligand-receptor bonds that mediate the adhesion of biological model membranes. After evaluating the effects of membrane fluctuations on the binding affinity of a single bond, we characterize the…

Soft Condensed Matter · Physics 2012-11-22 Daniel Schmidt , Timo Bihr , Udo Seifert , Ana-Sunčana Smith

We devise a method for predicting certain receptor-ligand binding behaviors, based on stochastic dynamical modelling. We consider the dynamics of a receptor binding to a ligand on the cell membrane, where the receptor and ligand perform…

Molecular Networks · Quantitative Biology 2023-02-17 Xi Chen , Hui Wang , Jinqiao Duan

Coagulation and fragmentation (CF) is a fundamental process by which particles attach to each other to form clusters while existing clusters break up into smaller ones. It is a ubiquitous process that plays a key role in many physical and…

Statistical Mechanics · Physics 2020-12-22 Farid Manuchehrfar , Wei Tian , Tom Chou , Jie Liang
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