Abstract:
:We study the dynamics and bifurcations of noise-free neurons coupled by gap junctions and inhibitory synapses, using both delayed delta functions and alpha functions to model the latter. We focus on the case of two cells, as in the studies of Chow and Kopell (2000) and Lewis and Rinzel (2003), but also show that stable asynchronous splay states exist for globally coupled networks of N cells dominated by subthreshold electrical coupling. Our results agree with those of Lewis and Rinzel (2003) in the weak coupling range, but our Poincaré map analysis yields more information about global behavior and domains of attraction, and we show that the explicit discontinuous maps derived using delayed delta functions compare well with the continuous history-dependent, implicitly-defined maps derived from alpha functions. We find that increased bias currents, super-threshold electrical coupling and synaptic delays promote synchrony, while sub-threshold electrical coupling and fast synapses promote asynchrony. We compare our analytical results with simulations of an ionic current model of spiking cells, and briefly discuss implications for stimulus response modes of locus coeruleus and for central pattern generators.
journal_name
J Comput Neuroscijournal_title
Journal of computational neuroscienceauthors
Gao J,Holmes Pdoi
10.1007/s10827-006-9676-3subject
Has Abstractpub_date
2007-02-01 00:00:00pages
39-61issue
1eissn
0929-5313issn
1573-6873journal_volume
22pub_type
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journal_title:Journal of computational neuroscience
pub_type: 杂志文章
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