Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31400
Title: Uncovering bifurcation patterns in cortical synapses
Authors: Small, M
Robinson, HPC
Kleppe, IC
Tse, CK 
Keywords: Bifurcation and chaos
Cortical synaptic transmission
Modelling
Nonlinear time series analysis
Issue Date: 2010
Source: Journal of mathematical biology, 2010, v. 61, no. 4, p. 501-526 How to cite?
Journal: Journal of Mathematical Biology 
Abstract: Individual cortical synapses are known to exhibit a very complex short-time dynamic behaviour in response to simple "naturalistic" stimulation. We describe a computational study of the experimentally obtained excitatory post-synaptic potential trains of individual cortical synapses. By adopting a new nonlinear modelling scheme we construct robust and repeatable models of the underlying dynamics. These models suggest that cortical synapses exhibit a wide range of either periodic or chaotic dynamics. For stimulus at a fixed rate our models predict that the response of the individual synapse will vary from a fixed point to periodic and chaotic, depending on the frequency of stimulus. Dynamics for individual synapses vary widely, suggesting that the individual behaviour of synapses is highly tuned and that the dynamic behaviour of even a small network of synapse-coupled neurons could be extremely varied.
URI: http://hdl.handle.net/10397/31400
ISSN: 0303-6812
DOI: 10.1007/s00285-009-0312-5
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