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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.

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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
Referent/Betreuer Prof. T. Jahnke
Schlagwörter chemical master equation, wavelet compression, adaptive Galerkin approximation, stochastic reaction kinetics
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