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Waiting time distributions for clusters of complex molecules

Thul, Ruediger; Falcke, Martin

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Martin Falcke


Waiting time distributions are in the core of theories for a large variety of subjects ranging from the analysis of patch clamp records to stochastic excitable systems. Here, we present a novel exact method for the calculation of waiting time distributions for state transitions of complex molecules with independent subunit dynamics. The absorbing state is a specific set of subunit states, i.e. is defined on the molecule level. Consequently, we formulate the problem as a random walk in the molecule state space. The subunits can possess an arbitrary number of states and any topology of transitions between them. The method circumvents problems arising from combinatorial explosion due to subunit coupling and requires solutions of the subunit master equation only.


Thul, R., & Falcke, M. (2007). Waiting time distributions for clusters of complex molecules. EPL, 79(3),

Journal Article Type Article
Acceptance Date Jun 19, 2007
Publication Date Jul 17, 2007
Deposit Date May 24, 2016
Publicly Available Date May 24, 2016
Journal Europhysics Letters
Print ISSN 0295-5075
Electronic ISSN 1286-4854
Publisher EPL Association
Peer Reviewed Peer Reviewed
Volume 79
Issue 3
Public URL
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