@TechReport{	  it:2005-020,
  author	= {Stefan Engblom},
  title		= {Computing the Moments of High Dimensional Solutions of the
		  Master Equation},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2005},
  number	= {2005-020},
  month		= jun,
  day		= {30},
  abstract	= {Derived from the Markov character only, the master
		  equation of chemical reactions is an accurate stochastic
		  description of quite general systems in chemistry. Exact
		  solutions of this equation are rare and the most frequently
		  used approximative solution method is to write down the
		  corresponding set of \emph{reaction rate} equations. In
		  many cases this approximation is not valid, or only
		  partially so, as stochastic effects caused by the natural
		  noise present in the full description of the problem are
		  poorly captured. In this paper it is shown how a certain
		  set of higher order equations can be derived. It is shown
		  by theory and example that stochastic effects are better
		  captured using this technique while still maintaining the
		  computational advantages of the reaction rate approach.}
}