Title
Computational methods for diffusion-influenced biochemical reactions.
Abstract
We compare stochastic computational methods accounting for space and discrete nature of reactants in biochemical systems. Implementations based on Brownian dynamics (BD) and the reaction-diffusion master equation are applied to a simplified gene expression model and to a signal transduction pathway in Escherichia coli.In the regime where the number of molecules is small and reactions are diffusion-limited predicted fluctuations in the product number vary between the methods, while the average is the same. Computational approaches at the level of the reaction-diffusion master equation compute the same fluctuations as the reference result obtained from the particle-based method if the size of the sub-volumes is comparable to the diameter of reactants. Using numerical simulations of reversible binding of a pair of molecules we argue that the disagreement in predicted fluctuations is due to different modeling of inter-arrival times between reaction events. Simulations for a more complex biological study show that the different approaches lead to different results due to modeling issues. Finally, we present the physical assumptions behind the mesoscopic models for the reaction-diffusion systems.Input files for the simulations and the source code of GMP can be found under the following address: http://www.cwi.nl/projects/sic/bioinformatics2007/
Year
DOI
Venue
2007
10.1093/bioinformatics/btm278
Bioinformatics
Keywords
Field
DocType
different approach,different modeling,computational approach,bioinformatics online,diffusion-influenced biochemical reaction,stochastic computational methods accounting,reaction-diffusion system,nl supplementary information,reaction-diffusion master equation,product number,different result,gene expression,escherichia coli,reaction diffusion,brownian dynamics,master equation,signal transduction pathway,source code,numerical simulation
Source code,Mesoscopic physics,Brownian dynamics,Biochemical reactions,Bioinformatics,Master equation,Mathematics,Particle
Journal
Volume
Issue
ISSN
23
15
1367-4811
Citations 
PageRank 
References 
17
1.62
4
Authors
4
Name
Order
Citations
PageRank
Maciej Dobrzyński1505.89
Jordi Vidal Rodríguez2171.62
Jaap A. Kaandorp311019.07
Joke G Blom416123.43