| Autor: |
Visser S; Department of Applied Mathematics, University of Twente, Enschede, 7500, The Netherlands. s.visser-1@math.utwente.nl., Meijer HG, van Putten MJ, van Gils SA |
| Jazyk: |
angličtina |
| Zdroj: |
Journal of mathematical neuroscience [J Math Neurosci] 2012 Apr 25; Vol. 2 (1), pp. 8. Date of Electronic Publication: 2012 Apr 25. |
| DOI: |
10.1186/2190-8567-2-8 |
| Abstrakt: |
A lumped model of neural activity in neocortex is studied to identify regions of multi-stability of both steady states and periodic solutions. Presence of both steady states and periodic solutions is considered to correspond with epileptogenesis. The model, which consists of two delay differential equations with two fixed time lags is mainly studied for its dependency on varying connection strength between populations. Equilibria are identified, and using linear stability analysis, all transitions are determined under which both trivial and non-trivial fixed points lose stability. Periodic solutions arising at some of these bifurcations are numerically studied with a two-parameter bifurcation analysis. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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