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Multiparameter Spectral Representation of Noise-Induced Competence in Bacillus Subtilis by Khachik Sargsyan; Cosmin Safta; Bert Debusschere; Habib Najm is a Biochemistry, Genetics and Molecular Biology article available to read on EtoBox.

What is Multiparameter Spectral Representation of Noise-Induced Competence in Bacillus Subtilis about?

In this work, the problem of representing a stochastic forward model output with respect to a large number of input parameters is considered. The methodology is applied to a stochastic reaction network of competence dynamics in Bacillus subtilis bacterium. In particular, the dependence of the competence state on rate constants of underlying reactions is investigated. We base our methodology on Polynomial Chaos (PC) spectral expansions that allow effective propagation of input parameter uncertainties to outputs of interest. Given a number of forward model training runs at sampled input parameter values, the PC modes are estimated using a Bayesian framework. As an outcome, these PC modes are described with posterior probability distributions. The resulting expansion can be regarded as an uncertain response function and can further be used as a computationally inexpensive surrogate instead of the original reaction model for subsequent analyses such as calibration or optimization studies. Furthermore, the methodology is enhanced with a classification-based mixture PC formulation that overcomes the difficulties associated with representing potentially nonsmooth input-output relationship

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Author

Khachik Sargsyan; Cosmin Safta; Bert Debusschere; Habib Najm

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Published

2012

Language

EN

Field

Biochemistry, Genetics and Molecular Biology (Life Sciences)