@TechReport{	  it:2008-012,
  author	= {Stefan Engblom and Lars Ferm and Andreas Hellander and Per
		  L{\"o}tstedt},
  title		= {Simulation of Stochastic Reaction-Diffusion Processes on
		  Unstructured Meshes},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2008},
  number	= {2008-012},
  month		= apr,
  abstract	= {Stochastic chemical systems with diffusion are modeled
		  with a reaction-diffusion master equation. On a macroscopic
		  level, the governing equation is a reaction-diffusion
		  equation for the averages of the chemical species. On a
		  mesoscopic level, the master equation for a well stirred
		  chemical system is combined with Brownian motion in space
		  to obtain the reaction-diffusion master equation. The space
		  is covered by an unstructured mesh and the diffusion
		  coefficients on the mesoscale are obtained from a finite
		  element discretization of the Laplace operator on the
		  macroscale. The resulting method is a flexible hybrid
		  algorithm in that the diffusion can be handled either on
		  the meso- or on the macroscale level. The accuracy and the
		  efficiency of the method are illustrated in three numerical
		  examples inspired by molecular biology.}
}