Cookies on this website
We use cookies to ensure that we give you the best experience on our website. If you click 'Continue' we'll assume that you are happy to receive all cookies and you won't see this message again. Click 'Find out more' for information on how to change your cookie settings.

In a previous work, conditions for which a ligand reversibly bound to a planar surface dissociates and then rebinds to the surface were theoretically examined (Lagerholm, B. C.; Thompson, N. L. Biophys. J. 1998, 74, 1215). The coupled differential equations that describe the reversible interaction of ligands in three-dimensional solution with sites on a planar surface were solved to find analytical solutions for the probabilities of finding a ligand on the surface or in solution, given initial placement on the surface. An expression was also found for the probability that a ligand rebinds to the surface at a given position and time after its release. In this work, the formalism is extended to calculate analytical, closed form expressions for the average number and rate of rebinding events that have occurred, on the average, at a given time after placing a ligand on the surface. These functions depend only on the intrinsic dissociation rate and a "rebinding parameter," which depends on a group of constants including the intrinsic association and dissociation rates, the density of surface binding sites, and the diffusion coefficient in solution. The results are interpreted in terms of typical conditions for biologically relevant ligands and their receptors.


Journal article


Journal of Physical Chemistry B

Publication Date





863 - 868