2016
DOI: 10.1063/1.4947550
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Communication: Free energy of ligand-receptor systems forming multimeric complexes

Abstract: Ligand-receptor interactions are ubiquitous in biology and have become popular in materials in view of their applications to programmable self-assembly. Although complex functionalities often emerge from the simultaneous interaction of more than just two linker molecules, state of the art theoretical frameworks enable the calculation of the free energy only in systems featuring one-to-one ligand/receptor binding. In this Communication, we derive a general formula to calculate the free energy of systems featuri… Show more

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Cited by 21 publications
(25 citation statements)
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“…Employing the notation of Ref. [170], we consider c families of linkers tethered to the CR between two interfaces (see Fig. 9b).…”
Section: Multimeric Bondsmentioning
confidence: 99%
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“…Employing the notation of Ref. [170], we consider c families of linkers tethered to the CR between two interfaces (see Fig. 9b).…”
Section: Multimeric Bondsmentioning
confidence: 99%
“…19 [157] or, in the presence of multimeric bonds, Eq. 40 [170]. For infinite interfaces, F conf follows from Eq.…”
Section: Programming Self-assembly and Collective Behaviourmentioning
confidence: 99%
“…[23], which models interactions between colloidal particles that result from multimeric ligand-receptor complexes to calculate the free energy per particle in the fluid and solid phases. Briefly, this involves computing the equilibrium densities of the different molecular species-bridges, half-bridges (AL or BL), and unbound strands-and relating those densities to the free energy of multivalent binding between two particles [23]. In our specific case, we compute the surface densities of half bridges ρ 1 and full bridges ρ b from equations of local chemical equilibrium [14,24], starting from the densities of unhybridized strands A and B (ρ A and ρ B ), and the concentration of free linkers (C l ):…”
Section: Mean-field Theorymentioning
confidence: 99%
“…We propose a new "hybrid" framework to calculate the free energy of the interactions between such vesicles, that combines state-of-art analytical theories developed for solid particles [29][30][31][35][36][37][38][39] with Monte Carlo simulations that account for configurational costs related to membrane deformability.…”
Section: Introductionmentioning
confidence: 99%