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Issue No. 01 - January-February (2011 vol. 8)
ISSN: 1545-5963
pp: 27-35
Sean Mauch , California Institute of Technology, Pasadena
Mark Stalzer , California Institute of Technology, Pasadena
One can generate trajectories to simulate a system of chemical reactions using either Gillespie's direct method or Gibson and Bruck's next reaction method. Because one usually needs many trajectories to understand the dynamics of a system, performance is important. In this paper, we present new formulations of these methods that improve the computational complexity of the algorithms. We present optimized implementations, available from>, that offer better performance than previous work. There is no single method that is best for all problems. Simple formulations often work best for systems with a small number of reactions, while some sophisticated methods offer the best performance for large problems and scale well asymptotically. We investigate the performance of each formulation on simple biological systems using a wide range of problem sizes. We also consider the numerical accuracy of the direct and the next reaction method. We have found that special precautions must be taken in order to ensure that randomness is not discarded during the course of a simulation.
Biology and genetics, stochastic processes, algorithm design and analysis.

M. Stalzer and S. Mauch, "Efficient Formulations for Exact Stochastic Simulation of Chemical Systems," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 8, no. , pp. 27-35, 2009.
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