Statistical mechanics of DNA-mediated colloidal aggregation.
Identifieur interne : 002212 ( PubMed/Corpus ); précédent : 002211; suivant : 002213Statistical mechanics of DNA-mediated colloidal aggregation.
Auteurs : Nicholas A. Licata ; Alexei V. TkachenkoSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1539-3755 ] ; 2006.
English descriptors
- KwdEn :
- MESH :
- chemical , chemistry : Colloids, DNA.
- chemistry : Nanostructures.
- methods : Crystallization.
- chemical , ultrastructure : DNA, Nanostructures.
- Computer Simulation, Mechanics, Models, Chemical, Models, Molecular, Models, Statistical, Nucleic Acid Conformation, Quantum Theory.
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
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pubmed:17155058Le document en format XML
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<author><name sortKey="Tkachenko, Alexei V" sort="Tkachenko, Alexei V" uniqKey="Tkachenko A" first="Alexei V" last="Tkachenko">Alexei V. Tkachenko</name>
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<front><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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<Abstract><AbstractText>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.</AbstractText>
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