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Molecular Biotechnology Programme Uppsala University School of Engineering

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Molecular Biotechnology Programme

Uppsala University School of Engineering

UPTEC X 04 027 Date of issue 2004-05

Author

Maria Werner

Title (English)

Numerical solution the the master equation using the linear noise approximation

Title (Swedish) Abstract

Biological systems can be modelled stochastically in silico with the master equation.

However, the computational demands in these calculations restrict the number of dimensions of the biological system, that is the number of species involved. In this thesis, the application of the linear noise approximation to the master equation is tested in order to simplify the computational problems. The approximation can then allow us to study systems of higher dimensions. Here, both two- and four-dimensional systems were studied and compared to earlier calculations with the master equation using the Fokker-Planck approximation.

Keywords

System biology, master equation, LNA, linear noise approximation, mesoscopic, stochastics.

Supervisors

Paul Sjöberg

Department of Scientific Computing, Uppsala Universitet Scientific reviewer

Per Lötstedt

Department of Scientific Computing, Uppsala Universitet

Project name Sponsors

Language

English

Security

ISSN 1401-2138

Classification

Supplementary bibliographical information Pages

37

Biology Education Centre Biomedical Center

Husargatan 3 Uppsala Box 592 S-75124 Uppsala Tel +46 (0)18 4710000 Fax +46 (0)18 555217

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