Falk, Johannes ; Mendler, Marc ; Drossel, Barbara (2017)
A minimal model of burst-noise induced bistability.
In: PLOS ONE, 2017, 12 (4)
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the SchloÈ gl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution. We find that changing the size of bursts can destroy and even induce saddle-node bifurcations. This means that a bursty production of molecules can qualitatively change the dynamics of a chemical reaction system even when the deterministic description remains unchanged.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2017 |
| Autor(en): | Falk, Johannes ; Mendler, Marc ; Drossel, Barbara |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | A minimal model of burst-noise induced bistability |
| Sprache: | Englisch |
| Publikationsjahr: | 2017 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2017 |
| Verlag: | PLOS |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PLOS ONE |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| (Heft-)Nummer: | 4 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/6207 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung aus gefördertem Golden Open Access |
| Kurzbeschreibung (Abstract): | We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the SchloÈ gl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution. We find that changing the size of bursts can destroy and even induce saddle-node bifurcations. This means that a bursty production of molecules can qualitatively change the dynamics of a chemical reaction system even when the deterministic description remains unchanged. |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-62073 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Festkörperphysik (2021 umbenannt in Institut für Physik Kondensierter Materie (IPKM)) |
| Hinterlegungsdatum: | 04 Mai 2017 07:49 |
| Letzte Änderung: | 05 Jan 2024 10:18 |
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| Suche nach Titel in: | TUfind oder in Google |
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- A minimal model of burst-noise induced bistability. (deposited 04 Mai 2017 07:49) [Gegenwärtig angezeigt]
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