Size effects in reactive circular site interactions.

The complete series solution for the reactant diffusion and reaction at two diffusion-controlled chemically reactive surface sites of radii a(1) and a(2), located in an inert plane an arbitrary center-to-center distance d apart, is presented. Rigorous, analytical forms are developed to calculate the site reaction rates in terms of the dimensionless intersite distance σ[=d/(a(1) + a(2))] and the site radius ratio γ(=a(1)∕/a(2)). Numerical simulation and approximate theoretical results from the recent literature are compared to the exact site reaction rates. While general agreement was noted over the ranges of γ and σ, significant errors in the Wilemski-Fixman-Weiss site rates were found at small γ and σ < 3.

[1]  Sangyoub Lee,et al.  Diffusion-influenced reactions involving a reactant with two active sites. , 2009, The Journal of chemical physics.

[2]  Robert A. Alberty,et al.  Application of the Theory of Diffusion-controlled Reactions to Enzyme Kinetics , 1958 .

[3]  W. Strieder.  Chemoreceptor diffusion and reaction : first-order kinetics , 2000 .

[4]  J. Erickson,et al.  The effect of receptor density on the forward rate constant for binding of ligands to cell surface receptors. , 1987, Biophysical journal.

[5]  A. Doktorov,et al.  Steric factor in diffusion-controlled chemical reactions , 1982 .

[6]  K. Ivanov,et al.  Diffusion-influenced reactions of particles with several active sites. , 2008, The Journal of chemical physics.

[7]  M. Fixman,et al.  General theory of diffusion‐controlled reactions , 1973 .

[8]  Sangyoub Lee,et al.  Generalization of Wilemski-Fixman-Weiss decoupling approximation to the case involving multiple sinks of different sizes, shapes, and reactivities. , 2006, The Journal of chemical physics.

[9]  W. Strieder,et al.  Interaction between two nearby diffusion-controlled reactive sites in a plane. , 2008, The Journal of chemical physics.

[10]  W. Strieder,et al.  Competitive interaction between two different spherical sinks. , 2004, The Journal of chemical physics.

[11]  W. N. Bailey.  Some Infinite Integrals Involving Bessel Functions , 1936 .

[12]  Anticooperativity in diffusion-controlled reactions with pairs of anisotropic domains: a model for the antigen–antibody encounter , 2005, European Biophysics Journal.