Spatial chemical reaction networks.

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The mathematical theory of chemical reaction networks receives new interest by intra-cellular dynamics studied in systems biology. Classical achievements in this area are laws of large numbers and central limit theorems for the law of mass action and Michaelis-Menten kinetics. Most important for systems biology is the fact that several chemical species, e.g. transcription factors or mRNA molecules occur only in low copy numbers within a cell, leading to fluctuations in the number of chemical species within pathways. In this project we study the role of space on the behavior of chemical reaction networks. Assuming that movement of molecules is fast, we use a multiscale model (similar to Ball, Kurtz, Popovic and Rempala. Asymptotic analysis of multiscale approximations to reaction networks. Ann. Appl. Probab., 16(4):1925-1961, 2006) to elucidate the role if different speeds of movement of molecules on the dynamics of the concentration of chemical species.

Additional information: http://www.stochastik.uni-freiburg.de
Phone: 0761/203-5667
Email: peter.pfaffelhuber@stochastik.uni-freiburg.de

Start of project: 2010
End of project: 2011

Albert-Ludwigs-University Freiburg
Prof. Dr. Peter Pfaffelhuber
Abteilung für Mathematische Stochastik
Prof. Dr. Peter Pfaffelhuber
Ernst-Zermelo-Straße 1
79104 Freiburg
Germany

Phone: 0761/203-5664
Fax: 0761/203-5661
Email: sekretariat@stochastik.uni-freiburg.de
http://www.stochastik.uni-freiburg.de/pfaffelhuber
Actual Research Report

• BMBF (FRISYS)