Bronstein, L. ; Koeppl, H. (2016)
A Diagram Technique for cumulant equations in
biomolecular reaction networks with mass-action kinetics.
In: 2016 IEEE 55th Conference on Decision and Control (CDC)
doi: 10.1109/CDC.2016.7799170
Buchkapitel, Bibliographie
Kurzbeschreibung (Abstract)
We present a diagram technique for the derivation of cumulant equations with zero-cumulant closure for the approximate description of biomolecular reaction networks. Our approach is applicable both to the chemical master equation and to the Kramers-Moyal expansion. It allows one to “see” the structure of the equations. This facilitates the investigation of the properties of the approximation and the comparison with other approximation methods. As an example of this, we derive a transparent relation between the cumulant equations for the chemical master equation and for the Kramers-Moyal expansion.
| Typ des Eintrags: | Buchkapitel |
|---|---|
| Erschienen: | 2016 |
| Autor(en): | Bronstein, L. ; Koeppl, H. |
| Art des Eintrags: | Bibliographie |
| Titel: | A Diagram Technique for cumulant equations in biomolecular reaction networks with mass-action kinetics |
| Sprache: | Englisch |
| Publikationsjahr: | 2 September 2016 |
| Ort: | Las Vegas, NV, USA |
| Verlag: | IEEE |
| Buchtitel: | 2016 IEEE 55th Conference on Decision and Control (CDC) |
| DOI: | 10.1109/CDC.2016.7799170 |
| URL / URN: | http://ieeexplore.ieee.org/document/7799170/?part=1 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | We present a diagram technique for the derivation of cumulant equations with zero-cumulant closure for the approximate description of biomolecular reaction networks. Our approach is applicable both to the chemical master equation and to the Kramers-Moyal expansion. It allows one to “see” the structure of the equations. This facilitates the investigation of the properties of the approximation and the comparison with other approximation methods. As an example of this, we derive a transparent relation between the cumulant equations for the chemical master equation and for the Kramers-Moyal expansion. |
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Bioinspirierte Kommunikationssysteme 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik |
| Hinterlegungsdatum: | 02 Sep 2016 07:28 |
| Letzte Änderung: | 29 Mai 2024 07:14 |
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