NDLI: Efficient computation of parameter sensitivities of discrete stochastic chemical reaction networks

Content Provider	PubMed Central
Author	Rathinam, Muruhan Sheppard, Patrick W. Mustafa, Khammash
Copyright Year	2010
Abstract	Parametric sensitivity of biochemical networks is an indispensable tool for studying system robustness properties, estimating network parameters, and identifying targets for drug therapy. For discrete stochastic representations of biochemical networks where Monte Carlo methods are commonly used, sensitivity analysis can be particularly challenging, as accurate finite difference computations of sensitivity require a large number of simulations for both nominal and perturbed values of the parameters. In this paper we introduce the common random number (CRN) method in conjunction with Gillespie’s stochastic simulation algorithm, which exploits positive correlations obtained by using CRNs for nominal and perturbed parameters. We also propose a new method called the common reaction path (CRP) method, which uses CRNs together with the random time change representation of discrete state Markov processes due to Kurtz to estimate the sensitivity via a finite difference approximation applied to coupled reaction paths that emerge naturally in this representation. While both methods reduce the variance of the estimator significantly compared to independent random number finite difference implementations, numerical evidence suggests that the CRP method achieves a greater variance reduction. We also provide some theoretical basis for the superior performance of CRP. The improved accuracy of these methods allows for much more efficient sensitivity estimation. In two example systems reported in this work, speedup factors greater than 300 and 10 000 are demonstrated.
Related Links	http://dx.doi.org/10.1063/1.3280166
Starting Page	34103
File Format	PDF
ISSN	00219606
e-ISSN	10897690
Journal	The Journal of Chemical Physics
Issue Number	3
Volume Number	132
Language	English
Publisher	American Institute of Physics
Publisher Date	2010-01-01
Access Restriction	Open
Rights Holder	American Institute of Physics
Subject Keyword	Physical and Theoretical Chemistry Physics and Astronomy(all) Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Medicine Physical and Theoretical Chemistry

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