@TechReport{	  it:2005-044,
  author	= {Paul Sj{\"o}berg and Per L{\"o}tstedt and Johan Elf},
  title		= {{F}okker-{P}lanck Approximation of the Master Equation in
		  Molecular Biology},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2005},
  number	= {2005-044},
  month		= dec,
  abstract	= {The master equation of chemical reactions is solved by
		  first approximating it by the Fokker-Planck equation. Then
		  this equation is discretized in the state space and time by
		  a finite volume method. The difference between the solution
		  of the master equation and the discretized Fokker-Planck
		  equation is analyzed. The solution of the Fokker-Planck
		  equation is compared to the solution of the master equation
		  obtained with Gillespie's Stochastic Simulation Algorithm
		  (SSA) for problems of interest in the regulation of cell
		  processes. The time dependent and steady state solutions
		  are computed and for equal accuracy in the solutions, the
		  Fokker-Planck approach is more efficient than SSA for low
		  dimensional problems and high accuracy. }
}