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A minimal model of burst-noise induced bistability

Falk, Johannes and Mendler, Marc and Drossel, Barbara :
A minimal model of burst-noise induced bistability.
[Online-Edition]
In: PLOS ONE, 12 (4) ISSN 1932-6203
[Article], (2017)

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Item Type: Article
Title: A minimal model of burst-noise induced bistability
Language: English
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.

Journal or Publication Title: PLOS ONE
Volume: 12
Number: 4
Publisher: PLOS
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute for condensed matter physics
Date Deposited: 04 May 2017 07:49
Last Modified: 15 May 2017 11:15
Official URL: http://doi.org/10.1371/journal.pone.0176410
URN: urn:nbn:de:tuda-tuprints-62073
Identification Number: 10.1371/journal.pone.0176410
URI: http://tuprints.ulb.tu-darmstadt.de/id/eprint/6207
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