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Anomalous lifetime statistics of ligand-receptor binding in a tethered polymer system

Ghosal, A and Cherayil, BJ (2015) Anomalous lifetime statistics of ligand-receptor binding in a tethered polymer system. In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .

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Official URL: http://dx.doi.org/10.1088/1742-5468/2015/10/P10012...

Abstract

In this paper, motivated by observations of non-exponential decay times in the stochastic binding and release of ligand-receptor systems, exemplified by the work of Rogers et al on optically trapped DNA-coated colloids (Rogers et al 2013 Soft Matter 9 6412), we explore the general problem of polymer-mediated surface adhesion using a simplified model of the phenomenon in which a single polymer molecule, fixed at one end, binds through a ligand at its opposite end to a flat surface a fixed distance L away and uniformly covered with receptor sites. Working within the Wilemski-Fixman approximation to diffusion-controlled reactions, we show that for a flexible Gaussian chain, the predicted distribution of times f(t) for which the ligand and receptor are bound is given, for times much shorter than the longest relaxation time of the polymer, by a power law of the form t(-1/4). We also show when the effects of chain stiffness are incorporated into this model (approximately), the structure of f(t) is altered to t(-1/2). These results broadly mirror the experimental trends in the work cited above.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Keywords: fluctuations (theory); stochastic processes (theory); dynamics (theory)
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Depositing User: Id for Latest eprints
Date Deposited: 14 Jan 2016 06:00
Last Modified: 14 Jan 2016 06:00
URI: http://eprints.iisc.ac.in/id/eprint/53099

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