A simple analytical formula for the free-energy of ligand-receptor mediated interactions

Abstract

Recently \1, we presented a general theory for calculat- ing the strength and properties of colloidal interactions mediated by ligand-receptor bonds (such as those that bind DNA-coated colloids). In this communication, we derive a surprisingly simple analytical form for the inter- action free energy, which was previously obtainable only via a costly numerical thermodynamic integration. As a result, the computational effort to obtain potentials of in- teraction is significantly reduced. Moreover, we can gain insight from this analytic expression for the free energy in limiting cases. In particular, the connection of our general theory to other previous specialised approaches is now made transparent. This important simplification will significantly broaden the scope of our theory.

4 pages, 3 Figures

References in corpus (3)

• A general theory of DNA-mediated and other valence-limited interactions
• Controlling the temperature sensitivity of DNA-mediated colloidal interactions through competing linkages
• Statistical Mechanics of DNA-Mediated Colloidal Aggregation

Cited by in corpus (18)

• Volume and porosity thermal regulation in lipid mesophases by coupling mobile ligands to soft membranes
• Mobile linkers on DNA-coated colloids: valency without patches
• Theory and Simulation of DNA-Coated Colloids: a Guide for Rational Design
• Programmable interactions with biomimetic DNA linkers at fluid membranes and interfaces
• Combinatorial entropy behaviour leads to range selective binding in ligand-receptor interactions
• Comprehensive view of microscopic interactions between DNA-coated colloids
• Exploiting Receptors Competition to Enhance Nanoparticles Binding Selectivity
• Linker-mediated self-assembly of mobile DNA-coated colloids
• Bond formation kinetics affects self-assembly directed by ligand-receptor interactions
• Entropy stabilizes floppy crystals of mobile DNA-coated colloids
• Assembly of Complex Colloidal Systems Using DNA
• Simple approach for calculating the binding free energy of a multivalent particle
• Free energy of ligand-receptor systems forming multimeric complexes
• Modeling the relative dynamics of DNA-coated colloids
• A new configurational bias scheme for sampling supramolecular structures
• First-Order "Hyper-selective" Binding Transition of Multivalent Particles Under Force
• Multivalent "Attacker & Guard" Strategy for Targeting Surfaces with Low Receptor Density
• Designed self-assembly of programmable colloidal atom-electron equivalents