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Statistical mechanics of DNA-mediated colloidal aggregation.

Identifieur interne : 002212 ( PubMed/Corpus ); précédent : 002211; suivant : 002213

Statistical mechanics of DNA-mediated colloidal aggregation.

Auteurs : Nicholas A. Licata ; Alexei V. Tkachenko

Source :

RBID : pubmed:17155058

English descriptors

Abstract

We present a statistical mechanical model of aggregation in colloidal systems with DNA-mediated interactions. We obtain a general result for the two-particle binding energy in terms of the hybridization free energy DeltaG of DNA and two model-dependent properties: the average number of available DNA bridges and the effective DNA concentration c(eff). We calculate these parameters for a particular DNA bridging scheme. The fraction of all the n-mers, including the infinite aggregate, are shown to be universal functions of a single parameter directly related to the two-particle binding energy. We explicitly take into account the partial ergodicity of the problem resulting from the slow DNA binding-unbinding dynamics, and introduce the concept of angular localization of DNA linkers. In this way, we obtain a direct link between DNA thermodynamics and the global aggregation and melting properties in DNA-colloidal systems. The results of the theory are shown to be in quantitative agreement with two recent experiments with particles of micron and nanometer size.

DOI: 10.1103/PhysRevE.74.041408
PubMed: 17155058

Links to Exploration step

pubmed:17155058

Le document en format XML

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<div type="abstract" xml:lang="en">We present a statistical mechanical model of aggregation in colloidal systems with DNA-mediated interactions. We obtain a general result for the two-particle binding energy in terms of the hybridization free energy DeltaG of DNA and two model-dependent properties: the average number of available DNA bridges and the effective DNA concentration c(eff). We calculate these parameters for a particular DNA bridging scheme. The fraction of all the n-mers, including the infinite aggregate, are shown to be universal functions of a single parameter directly related to the two-particle binding energy. We explicitly take into account the partial ergodicity of the problem resulting from the slow DNA binding-unbinding dynamics, and introduce the concept of angular localization of DNA linkers. In this way, we obtain a direct link between DNA thermodynamics and the global aggregation and melting properties in DNA-colloidal systems. The results of the theory are shown to be in quantitative agreement with two recent experiments with particles of micron and nanometer size.</div>
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