Abstract

Multivalent particles competing for binding on the same surface can exhibit switch-like behaviour, depending on the concentration of receptors on the surface. When the receptor concentration is low, energy dominates the free energy of binding, and particles having a small number of strongly-binding ligands preferentially bind to the surface. At higher receptor concentrations, multivalent effects become significant, and entropy dominates the binding free energy; particles having many weakly-binding ligands preferentially bind to the surface. Between these two regimes there is a “switch-point”, at which the surface binds the two species of particles equally strongly. We demonstrate that a simple theory can account for this switch-like behaviour and present numerical calculations that support the theoretical predictions. We argue that binding selectivity based on receptor density, rather than identity, may have practical applications.

Highlights

  • Systems comprising many different chemical ingredients may exhibit complex physical behaviour that is absent in systems with fewer components

  • A non-biological example is the self-assembly of an elaborate structure from many unique pieces of deoxyribonucleic acid (DNA) [2,3,4,5,6]: here the chemical composition of the system determines the shape of the units that form through self-assembly

  • The results presented in this paper indicate that the preferred adsorption of particles can be switched by changing surface receptor concentration, provided that one particle has few strong-binding ligands, while the second has many weak-binding ligands

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Summary

Introduction

Systems comprising many different chemical ingredients may exhibit complex physical behaviour that is absent in systems with fewer components. DNA-coated colloids are an example of synthetic, multivalent building blocks [9,10,11,12,13] that can self-assemble In these systems, complementary single-stranded DNA is grafted to the surfaces of colloids or nanoparticles, resulting in a system that selfassembles over a narrow temperature range into aggregate structures “encoded” by the DNA ligands. A recent experimental study has demonstrated size-selective surface binding and patterning from a bimodal mixture of DNA-coated nanoparticles, depending on the local density of receptor DNA strands on the surface [14]. Because of their sensitivity to the nature and surface-concentration of receptors, multivalent particles are well suited for chemical and biological sensing [15]. The paper concludes by discussing possible applications of multivalent switches

Theory
Lattice model for ligand-receptor binding
Results & discussion
Conclusions
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