@TechReport{	  it:2004-003,
  author	= {Johan Elf and Per L{\"o}tstedt and Paul Sj{\"o}berg},
  title		= {Problems of High Dimension in Molecular Biology},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2004},
  number	= {2004-003},
  month		= jan,
  note		= {This paper was presented at the 19th GAMM-Seminar in
		  Leipzig, January 23-25, 2003.},
  abstract	= {The deterministic reaction rate equations are not an
		  accurate description of many systems in molecular biology
		  where the number of molecules of each species often is
		  small. The master equation of chemical reactions is a more
		  accurate stochastic description suitable for small
		  molecular numbers. A computational difficulty is the high
		  dimensionality of the equation. We describe how it can be
		  solved by first approximating it by the Fokker-Planck
		  equation. Then this equation is discretized in space and
		  time by a finite difference method. The method is compared
		  to a Monte Carlo method by Gillespie. The method is applied
		  to a four-dimensional problem of interest in the regulation
		  of cell processes.}
}