%0 Journal Article
%T Exact Green's function of the reversible ABCD reaction in two space dimensions
%A Thorsten Pr¨¹stel
%A Martin Meier-Schellersheim
%J Quantitative Biology
%D 2013
%I arXiv
%X We derive an exact expression for the Green's functions in the time domain of the reversible diffusion-influenced ABCD reaction $A+B\leftrightarrow C+D$ in two space dimensions. Furthermore, we calculate the corresponding survival and reaction probabilities. The obtained expressions should prove useful for the study of reversible membrane-bound reactions in cell biology and can serve as a useful ingredient of enhanced stochastic particle-based simulation algorithms.
%U http://arxiv.org/abs/1305.1706v1