TU Darmstadt / ULB / TUbiblio

A minimal model of burst-noise induced bistability

Falk, Johannes and Mendler, Marc and Drossel, Barbara (2017):
A minimal model of burst-noise induced bistability.
In: PLOS ONE, PLOS, 12, (4), ISSN 1932-6203, [Online-Edition: http://doi.org/10.1371/journal.pone.0176410],
[Article]

This is the latest version of this item.

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.

Item Type: Article
Erschienen: 2017
Creators: Falk, Johannes and Mendler, Marc and Drossel, Barbara
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
Divisions: 05 Department of Physics
05 Department of Physics > Institute for condensed matter physics
05 Department of Physics > Institute for condensed matter physics > Statistische Physik und komplexe Systeme
Date Deposited: 16 Aug 2017 10:42
Official URL: http://doi.org/10.1371/journal.pone.0176410
URN: urn:nbn:de:tuda-tuprints-62073
Identification Number: doi:10.1371/journal.pone.0176410
Export:

Available Versions of this Item

Optionen (nur für Redakteure)

View Item View Item