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Numerical Methods for the Chemical Master Equation

Udrescu, Tudor


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.

Volltext §
DOI: 10.5445/IR/1000029251
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Publikationsjahr 2012
Sprache Englisch
Identifikator urn:nbn:de:swb:90-292510
KITopen-ID: 1000029251
Verlag Karlsruher Institut für Technologie (KIT)
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 06.06.2012
Schlagwörter chemical master equation, wavelet compression, adaptive Galerkin approximation, stochastic reaction kinetics
Referent/Betreuer Jahnke, T.
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