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Updated: Nov 27, 2025

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
Published on: June 25, 2018
Stoichiometry of irreversible ligand binding to a one-dimensional lattice
1CNRS, UMR 7051, INP, Inst Neurophysiopathol, Fac Médecine, Aix Marseille Univ, Marseille, France. philipp.tsvetkov@univ-amu.fr.
Abstract:
In this paper we investigate the problem of irreversible binding of a ligand that covers several identical binding sites on a macromolecule with a one-dimensional lattice. Due to steric constraints, irreversible binding or binding with slow kinetics results in partial saturation of the binding sites thus impacting the stoichiometry of the interaction. Here we present a recursive formula to calculate the exact fraction of the occupied binding sites for a ligand and macromolecule of arbitrary lengths. We also provide an analytical result for the exact fraction of the occupied sites in case of an infinitely long lattice. We conclude with a simplified empirical formula for the exact fraction of the occupied sites in case of an infinitely long lattice.
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