Publikation: Zeitschriftenartikel

Family tree of Markov models in systems biology

Grunddaten
Abstract
Autoren
Einrichtung

Grunddaten

Titel	Family tree of Markov models in systems biology
Veröffentlicht in	IET systems biology. - Stevenage : IET
Erscheinungsjahr	2007
Seiten (von – bis)	247 – 254
Band	1
Heft-Nr.	4
Jahr	2007
Publikationsform	Druckschrift
Publikationsart	Zeitschriftenartikel
Sprache	Englisch
Letzte Änderung	20.05.2019 13:41:53
Bearbeitungsstatus	durch UB Rostock abschließend validiert
Dauerhafte URL	http://purl.uni-rostock.de/fodb/pub/36661
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Abstract

Motivated by applications in systems biology, a probabilistic framework based on Markov processes is proposed to represent intracellular processes. The formal relationships between different stochastic models referred to in the systems biology literature are reviewed. As part of this review, a novel derivation of the differential ChapmanKolmogorov equation for a general multidimensional Markov process made up of both continuous and jump processes, is presented. First, the definition of a time-derivative for a probability density is focused, but placing no restrictions on the probability distribution, in particular, it is not assumed to be to be confined to a region that has a surface (on which the probability is zero). In this derivation, the master equation gives the jump part of the Markov process and the FokkerPlanck equation gives the continuous part. As a result, a `family tree' for stochastic models in systems biology is sketched, providing explicit derivations of their formal relationship and clarifying assumptions involved.

Autoren

Ullah, Mukhtar
Wolkenhauer, Olaf

Einrichtung

IEF/Bereich Informatik