Waiting time distributions for clusters of complex molecules
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...
| Main Authors: | , |
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| Format: | Article |
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European Physical Society
2007
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| Online Access: | https://eprints.nottingham.ac.uk/33480/ |
| _version_ | 1848794639652356096 |
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| author | Thul, Ruediger Falcke, Martin |
| author_facet | Thul, Ruediger Falcke, Martin |
| author_sort | Thul, Ruediger |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:19:24Z |
| format | Article |
| id | nottingham-33480 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:19:24Z |
| publishDate | 2007 |
| publisher | European Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-334802020-05-04T16:26:57Z https://eprints.nottingham.ac.uk/33480/ Waiting time distributions for clusters of complex molecules Thul, Ruediger Falcke, Martin 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. European Physical Society 2007-07-17 Article PeerReviewed Thul, Ruediger and Falcke, Martin (2007) Waiting time distributions for clusters of complex molecules. Europhysics Letters, 79 (3). 38003-1-38003-5. ISSN 1286-4854 http://iopscience.iop.org/article/10.1209/0295-5075/79/38003/meta;jsessionid=6AD86044426A1003892CF8332D79079D.c2.iopscience.cld.iop.org doi:10.1209/0295-5075/79/38003 doi:10.1209/0295-5075/79/38003 |
| spellingShingle | Thul, Ruediger Falcke, Martin Waiting time distributions for clusters of complex molecules |
| title | Waiting time distributions for clusters of complex molecules |
| title_full | Waiting time distributions for clusters of complex molecules |
| title_fullStr | Waiting time distributions for clusters of complex molecules |
| title_full_unstemmed | Waiting time distributions for clusters of complex molecules |
| title_short | Waiting time distributions for clusters of complex molecules |
| title_sort | waiting time distributions for clusters of complex molecules |
| url | https://eprints.nottingham.ac.uk/33480/ https://eprints.nottingham.ac.uk/33480/ https://eprints.nottingham.ac.uk/33480/ |