title: A general theory of DNA-mediated and other valence-limited colloidal interactions.
abstract: We present a general theory for predicting the interaction potentials between DNA-coated colloids, and more broadly, any particles that interact via valence-limited ligand-receptor binding. Our theory correctly incorporates the configurational and combinatorial entropic factors that play a key role in valence-limited interactions. By rigorously enforcing self-consistency, it achieves near-quantitative accuracy with respect to detailed Monte Carlo calculations. With suitable approximations and in particular geometries, our theory reduces to previous successful treatments, which are now united in a common and extensible framework. We expect our tools to be useful to other researchers investigating ligand-mediated interactions. A complete and well-documented Python implementation is freely available at http://github.com/patvarilly/DNACC.
authors.affiliation: Department of Chemistry, University of Cambridge, Lensfield Road, CB2 1EW Cambridge, United Kingdom.
authors.forename: Patrick
authors.initials: P
authors.lastname: Varilly
authors.forename: Stefano
authors.initials: S
authors.lastname: Angioletti-Uberti
authors.forename: Bortolo M
authors.initials: BM
authors.lastname: Mognetti
authors.forename: Daan
authors.initials: D
authors.lastname: Frenkel
mesh_terms: D003102:Colloids; D004247:DNA / Q000737:chemistry*; D004277:DNA, Single-Stranded / Q000737:chemistry; D009010:Monte Carlo Method
chemical_list: D003102:Colloids; D004277:DNA, Single-Stranded; D004247:DNA