English

Exact Green's function of the reversible ABCD reaction in two space dimensions

Quantitative Methods 2013-05-09 v1 Chemical Physics

Abstract

We derive an exact expression for the Green's functions in the time domain of the reversible diffusion-influenced ABCD reaction A+BC+DA+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.

Keywords

Cite

@article{arxiv.1305.1706,
  title  = {Exact Green's function of the reversible ABCD reaction in two space dimensions},
  author = {Thorsten Prüstel and Martin Meier-Schellersheim},
  journal= {arXiv preprint arXiv:1305.1706},
  year   = {2013}
}

Comments

9 pages, 1 figure