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Diffusion across proton collecting surfaces Noam Agmon *

Summary: Diffusion across proton collecting surfaces
Noam Agmon *
The Fritz Haber Research Center, Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
a r t i c l e i n f o
Article history:
Received 2 September 2009
In final form 6 November 2009
Available online 12 November 2009
Proton collecting surface
Steady-state rate
a b s t r a c t
A model for a proton collecting apparatus on a protein surface includes a ring-shaped collecting domain
on which reversible receptors are scattered. These transport a proton by surface diffusion, until it reaches
a central orifice where it is absorbed. Mathematically, this scenario is represented approximately by two-
dimensional diffusion on the ring, with steady-state rate coefficients for adsorption/desorption of protons
from the bulk (which depend on the bulk diffusion coefficient), and a boundary condition mimicking an
irreversible reaction on the orifice perimeter. The ensuing differential equation is of the modified Bessel
type, and can therefore be solved analytically in terms of modified Bessel functions. The most general


Source: Agmon, Noam - Institute of Chemistry, Hebrew University of Jerusalem


Collections: Chemistry