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Volltext Udrescu_Tudor.pdf1.pdf (8,7 MB)
URN (für Zitat) http://nbn-resolving.org/urn:nbn:de:swb:90-292510
Titel Numerical Methods for the Chemical Master Equation
Autor Udrescu, Tudor
Institution Institut für Angewandte und Numerische Mathematik (IANM)
Dokumenttyp Buch
Verlag Karlsruhe
Jahr 2012
Hochschulschrift Dissertation
Fakultät für Mathematik (MATH)
Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten: 06.06.2012
Referent/Betreuer: Prof. T. Jahnke
Abstract The dynamics of biochemical networks can be described by a Markov jump process on a high-dimensional state space, with the corresponding probability distribution being the solution of the Chemical Master Equation (CME). In this thesis, adaptive wavelet methods for the time-dependent and stationary CME, as well as for the approximation of committor probabilities are devised. The methods are illustrated on multi-dimensional models with metastable solutions and large state spaces.