title: Communication: 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) [P. Varilly et al., J. Chem. Phys. 137, 094108 (2012); S. Angioletti-Uberti et al., ibid. 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.
authors.affiliation: Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
authors.forename: Nicholas B
authors.initials: NB
authors.lastname: Tito
authors.affiliation: International Research Centre for Soft Matter, Beijing University of Chemical Technology, Beijing, China.
authors.forename: Stefano
authors.initials: S
authors.lastname: Angioletti-Uberti
authors.affiliation: Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
authors.forename: Daan
authors.initials: D
authors.lastname: Frenkel