Please use this identifier to cite or link to this item:
Volltext verfügbar? / Dokumentlieferung
doi:10.22028/D291-31039
Title: | Distribution Approximations for the Chemical Master Equation: Comparison of the Method of Moments and the System Size Expansion |
Author(s): | Andreychenko, Alexander Bortolussi, Luca Grima, Ramon Thomas, Philipp Wolf, Verena |
Editor(s): | Graw, Frederik Matthäus, Franziska Pahle, Jürgen |
Language: | English |
Title: | Modeling Cellular Systems |
Startpage: | 39 |
Endpage: | 66 |
Publisher/Platform: | Springer |
Year of Publication: | 2017 |
Place of publication: | Cham |
Publikation type: | Book Chapter |
Abstract: | The stochastic nature of chemical reactions has resulted in an increasing research interest in discrete-state stochastic models and their analysis. A widely used approach is the description of the temporal evolution of such systems in terms of a chemical master equation (CME). In this paper we study two approaches for approximating the underlying probability distributions of the CME. The first approach is based on an integration of the statistical moments and the reconstruction of the distribution based on the maximum entropy principle. The second approach relies on an analytical approximation of the probability distribution of the CME using the system size expansion, considering higher order terms than the linear noise approximation. We consider gene expression networks with unimodal and multimodal protein distributions to compare the accuracy of the two approaches. We find that both methods provide accurate approximations to the distributions of the CME while having different benefits and limitations in applications. |
DOI of the first publication: | 10.1007/978-3-319-45833-5_2 |
URL of the first publication: | https://link.springer.com/chapter/10.1007/978-3-319-45833-5_2 |
Link to this record: | hdl:20.500.11880/29191 http://dx.doi.org/10.22028/D291-31039 |
ISBN: | 978-3-319-45833-5 978-3-319-45831-1 |
Date of registration: | 28-May-2020 |
Notes: | Contributions in Mathematical and Computational Sciences ; volume 11 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Informatik |
Professorship: | MI - Prof. Dr. Verena Wolf |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
There are no files associated with this item.
Items in SciDok are protected by copyright, with all rights reserved, unless otherwise indicated.