CUED Publications database

Delayed decision-making in bistable models

Trotta, L and Sepulchre, R and Bullinger, E (2010) Delayed decision-making in bistable models. Proceedings of the IEEE Conference on Decision and Control. pp. 816-821. ISSN 0191-2216

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Switching between two modes of operation is a common property of biological systems. In continuous-time differential equation models, this is often realised by bistability, i.e. the existence of two asymptotically stable steadystates. Several biological models are shown to exhibit delayed switching, with a pronounced transient phase, in particular for near-threshold perturbations. This study shows that this delay in switching from one mode to the other in response to a transient input is reflected in local properties of an unstable saddle point, which has a one dimensional unstable manifold with a significantly slower eigenvalue than the stable ones. Thus, the trajectories first approximatively converge to the saddle point, then linger along the saddle's unstable manifold before quickly approaching one of the stable equilibria. ©2010 IEEE.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:15
Last Modified: 26 Aug 2021 07:05
DOI: 10.1109/CDC.2010.5717996