Modeling of stochastic biological processes with non-polynomial propensities using non-central conditional moment equation

Kazeroonian A, Theis FJ, Hasenauer J (2014)

Publication Type: Conference contribution

Publication year: 2014

Journal

IFAC-PapersOnLine International Federation of Automatic Control

Publisher: IFAC Secretariat

Book Volume: 19

Pages Range: 1729-1735

Conference Proceedings Title: IFAC Proceedings Volumes (IFAC-PapersOnline)

Event location: Cape Town, ZAF

ISBN: 9783902823625

DOI: 10.3182/20140824-6-za-1003.02298

Abstract

Biological processes exhibiting stochastic fluctuations are mainly modeled using the Chemical Master Equation (CME). As a direct simulation of the CME is often computationally intractable, we recently introduced the Method of Conditional Moments (MCM). The MCM is a hybrid approach to approximate the statistics of the CME solution. In this work, we provide a more comprehensive formulation of the MCM by using non-central conditional moments instead of central conditional moments. The modified formulation allows for additional insight into the model structure and for extensions to higher-order reactions and non-polynomial propensity functions. The properties of the non-central MCM are analyzed using a model for the regulation of pili formation on the surface of bacteria, which possesses rational propensity functions.

Involved external institutions

Helmholtz Zentrum München - Deutsches Forschungszentrum für Gesundheit und Umwelt (HMGU) / Helmholtz Munich DE Germany (DE)

How to cite

APA:

Kazeroonian, A., Theis, F.J., & Hasenauer, J. (2014). Modeling of stochastic biological processes with non-polynomial propensities using non-central conditional moment equation. In Edward Boje, Xiaohua Xia (Eds.), IFAC Proceedings Volumes (IFAC-PapersOnline) (pp. 1729-1735). Cape Town, ZAF: IFAC Secretariat.

MLA:

Kazeroonian, Atefeh, Fabian J. Theis, and Jan Hasenauer. "Modeling of stochastic biological processes with non-polynomial propensities using non-central conditional moment equation." Proceedings of the 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, ZAF Ed. Edward Boje, Xiaohua Xia, IFAC Secretariat, 2014. 1729-1735.

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