2007
DOI: 10.1103/physreve.76.011402
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Effective nonadditive pair potential for lock-and-key interacting particles: The role of the limited valence

Abstract: Theoretical studies of self-assembly processes and condensed phases in colloidal systems are often based on effective inter-particle potentials. Here we show that developing an effective potential for particles interacting with a limited number of "lock-and-key" selective bonds (due to the specificity of bio-molecular interactions) requires -beside the non-sphericity of the potential -a (many body) constraint that prevent multiple bonding on the same site. We show the importance of retaining both valence and b… Show more

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Cited by 22 publications
(42 citation statements)
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“…The effective potential between two ssDNA depends only on the intermolecular separation and their relative angular orientation. The parameters of the effective potential are obtained by a systematic coarsegraining of a more detailed model for the DNA interactions, and it has been verified that the coarse-grained model quantitatively reproduces the behavior of the more explicit model 34,35 . We study this model via Monte Carlo (MC) simulations in the canonical ensemble (fixed number of particles N, volume V , temperature T ).…”
Section: Modelingmentioning
confidence: 86%
“…The effective potential between two ssDNA depends only on the intermolecular separation and their relative angular orientation. The parameters of the effective potential are obtained by a systematic coarsegraining of a more detailed model for the DNA interactions, and it has been verified that the coarse-grained model quantitatively reproduces the behavior of the more explicit model 34,35 . We study this model via Monte Carlo (MC) simulations in the canonical ensemble (fixed number of particles N, volume V , temperature T ).…”
Section: Modelingmentioning
confidence: 86%
“…The ability of the effective potential to reproduce structural and thermodynamic properties of the explicit model has been verified in ref. 28 for the case L ϭ 8. We have confirmed that similar agreement in structural quantities is observed for the case L ϭ 4 and L ϭ 16, even in the region where multiple networks are observed.…”
Section: [1]mentioning
confidence: 99%
“…1 A and B. Here, we focus mainly on a simplified model (28) that is directly derived from the more complex model. We represent each dendrimer by a central core with rigid arms, representing the ssDNA, that point to the vertices of tetrahedron ( Fig.…”
mentioning
confidence: 99%
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“…Estimates of pairwise interactions between nanoparticles have been obtained by simulation with the help of CG DFP models (see section I) 56,57 . These previous studies consider pair interactions between DFPs for very low DNA grafting densities of 4 to 6 DNA molecules per particle.…”
Section: B Pair Interactions Between Dna-functionalized Particlesmentioning
confidence: 99%