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CDC
2010
IEEE

Delayed decision-making in bistable models

10 years 6 months ago
Delayed decision-making in bistable models
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.
Laura Trotta, Rodolphe Sepulchre, Eric Bullinger
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2010
Where CDC
Authors Laura Trotta, Rodolphe Sepulchre, Eric Bullinger
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