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Multivalent particles have the ability to form multiple bonds to a substrate. Hence, a multivalent interaction can be strong, even if the individual bonds are weak. However, much more interestingly, multivalency greatly increases the…

Soft Condensed Matter · Physics 2017-04-04 Tine Curk , Jure Dobnikar , Daan Frenkel

Multivalent particles bind to targets via many independent ligand-receptor bonding interactions. This microscopic design spans length scales in both synthetic and biological systems. Classic examples include interactions between cells,…

Soft Condensed Matter · Physics 2020-04-22 Tine Curk , Nicholas B. Tito

Multivalent binding employs multiple simultaneous supramolecular interactions, increasing avidity and selectivity compared with monovalent binding. While equilibrium aspects of multivalency are well characterized, non-equilibrium behavior…

Soft Condensed Matter · Physics 2026-05-27 Vid Ravnik , Baptiste Chabaud , Urban Bren , Galina V. Dubacheva , Tine Curk

Multivalency is prevalent in various biological systems and applications due to the superselectivity that arises from the cooperativity of multivalent binding. Traditionally, it was thought that weaker individual binding would improve the…

Soft Condensed Matter · Physics 2023-04-13 Xiuyang Xia , Ge Zhang , Massimo Pica Ciamarra , Yang Jiao , Ran Ni

Scaffold proteins organize cellular processes by bringing signaling molecules into interaction, sometimes by forming large signalosomes. Several of these scaffolds are known to polymerize. Their assemblies should therefore not be understood…

Quantitative Methods · Quantitative Biology 2020-03-06 Andrés Ortiz-Muñoz , Héctor F. Medina-Abarca , Walter Fontana

Multivalent particles competing for binding on the same surface can exhibit switch-like behaviour, depending on the concentration of receptors on the surface. When the receptor concentration is low, energy dominates the free energy of…

Soft Condensed Matter · Physics 2016-08-24 Nicholas B. Tito , Daan Frenkel

Motivated by the fine compositional control observed in membraneless droplet organelles in cells, we investigate how a sharp binding-unbinding transition can occur between multivalent client molecules and receptors embedded in a porous…

Soft Condensed Matter · Physics 2021-01-12 Andrew T. R. Christy , Halim Kusumaatmaja , Mark A. Miller

From viruses to nanoparticles, constructs functionalized with multiple ligands display peculiar binding properties that only arise from multivalent effects. Using statistical mechanical modelling, we describe here how multivalency can be…

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

We present a model for the joint self-assembly of amphiphilic polymers and small amphiphilic molecules (surfactants) in a dilute aqueous solution. The polymer is assumed to consist of a hydrophilic backbone and a large number of hydrophobic…

Soft Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

Nanoparticles functionalized with multiple ligands can be programmed to bind biological targets depending on the receptors they express, providing a general mechanism exploited in various technologies, from selective drug-delivery to…

Chemical Physics · Physics 2017-02-22 Stefano Angioletti-Uberti

Aggregation of like-charged polymers is widely observed in biological and soft matter systems. In many systems, bundles are formed when a short-range attraction of diverse physical origin like charge-bridging, hydrogen-bonding or…

Soft Condensed Matter · Physics 2016-06-22 Sandipan Dutta , P. Benetatos , Y. S. Jho

Continuing our recent work we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory. We consider such polynomial masks that are derived by means of the…

Functional Analysis · Mathematics 2014-03-11 Maria Charina , Mihai Putinar , Claus Scheiderer , Joachim Stoeckler

We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated to the gradient-gradient correlations, called the persistence length, being of the same order as…

Probability · Mathematics 2011-08-25 Ostap Hryniv , Yvan Velenik

In this work the computer modeling has been used to show that longer ligands allow biological cells (e.g., blood platelets) to withstand stronger flows after their adhesion to solid walls. Mechanistic model of polymer-mediated…

Soft Condensed Matter · Physics 2018-04-18 Aleksey V. Belyaev

Random sequential adsorption algorithm is a popular tool for modelling structure of monolayers built in irreversible adsorption experiments. However, this algorithm becomes very inefficient when the density of molecules in a layer rises.…

Computational Physics · Physics 2019-11-25 Michał Cieśla

Bivalency confers several concentration-dependent phenomena, including avidity, competitive exchange and multi-site competitive exchange. Since these concepts are crucial for a wide variety of topics in cell and molecular biology, their…

Statistical Mechanics · Physics 2022-01-19 Richard E. Spinney , Lawrence K. Lee , Richard G. Morris

The effective quasistatic conductivity of composite polymeric electrolytes is studied in terms of a hard-core--penetrable-layer model. Used to incorporate the interface phenomena (such as amorphization of the polymer matrix around filler…

Materials Science · Physics 2019-11-05 M. Ya. Sushko , A. K. Semenov

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

The subject of this work is the adsorption transition of a long flexible self-avoiding polymer chain onto a rigid thin rod. The rod is represented by a cylinder of radius R with a short-ranged attractive surface potential for the chain…

Statistical Mechanics · Physics 2009-11-11 Andreas Hanke
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