Simple approach for calculating the binding free energy of a multivalent particle

Abstract

We present a simple yet accurate numerical approach to compute the free energy of binding of multivalent objects on a receptor-coated surface. The method correctly accounts for the fact that one ligand can bind to at most one receptor. The numerical approach is based on a saddle-point approximation to the computation of a complex residue. We compare our theory with the powerful Valence-Limited Interaction Theory (VLIT) (J. Chem. Phys. 137, 094108(2012), J. Chem. Phys. 138, 021102(2013)) and find excellent agreement in the regime where that theory is expected to work. However, the present approach even works for low receptor/ligand densities, where VLIT breaks down.

arXiv comment5 pages, 2 figures

References in corpus (4)

• A general theory of DNA-mediated and other valence-limited interactions
• Mobile linkers on DNA-coated colloids: valency without patches
• A simple analytical formula for the free-energy of ligand-receptor mediated interactions
• Simple approach for calculating the binding free energy of a multivalent particle

Cited by in corpus (9)

• Programmable interactions with biomimetic DNA linkers at fluid membranes and interfaces
• Combinatorial entropy behaviour leads to range selective binding in ligand-receptor interactions
• Linker-mediated self-assembly of mobile DNA-coated colloids
• Translational and Rotational Dynamics of Colloidal Particles Interacting through Reacting Linkers
• Simple approach for calculating the binding free energy of a multivalent particle
• Multivalent "Attacker & Guard" Strategy for Targeting Surfaces with Low Receptor Density
• Switch-like surface binding of competing multivalent particles
• Melting transition in lipid vesicles functionalised by mobile DNA linkers
• Computational investigation of multivalent binding of a ligand coated particle: Role of shape, size and ligand heterogeneity from a free energy landscape perspective