Stochastic sensitivity and variability of glycolytic oscillations in the randomly forced Sel'kov model / Bashkirtseva Irina,Ryashko Lev // EUROPEAN PHYSICAL JOURNAL B. - 2017. - V. 90, l. 1.

ISSN/EISSN:

1434-6028 / 1434-6036

Type:

Article

Abstract:

In present paper, we study underlying mechanisms of the stochastic excitability in glycolysis on the example of the model proposed by Sel'kov. A stochastic variant of this model with the randomly forced influx of the substrate is considered. Our analysis is based on the stochastic sensitivity function technique. A detailed parametric analysis of the stochastic sensitivity of attractors is carried out. A range of parameters where the stochastic model is highly sensitive to noise is determined, and a supersensitive Canard cycle is found. Phenomena of the stochastic excitability and variability of forced equilibria and cycles are demonstrated and studied. It is shown that in the zone of Canard cycles noise-induced chaos is observed.

Author keywords:

NOISE; SYSTEMS; CHAOS; RESONANCE

DOI:

10.1140/epjb/e2016-70674-4

Web of Science ID:

ISI:000393664900002

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JAN 25
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Article-Number	17
EISSN	1434-6036
Keywords-Plus	NOISE; SYSTEMS; CHAOS; RESONANCE
Research-Areas	Physics
Web-of-Science-Categories	Physics, Condensed Matter
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (No. 16-11-10098).
Number-of-Cited-References	29
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	Eur. Phys. J. B
Doc-Delivery-Number	EK1DB