@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.}
}