2005
DOI: 10.1007/s10827-005-0331-1
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Two-Cell to N-Cell Heterogeneous, Inhibitory Networks: Precise Linking of Multistable and Coherent Properties

Abstract: Inhibitory networks are now recognized as being the controllers of several brain rhythms. However, experimental work with inhibitory cells is technically difficult not only because of their smaller percentage of the neuronal population, but also because of their diverse properties. As such, inhibitory network models with tight links to the experimental data are needed to understand their contributions to population rhythms. However, mathematical analyses of network models with more than two cells is challengin… Show more

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Cited by 33 publications
(16 citation statements)
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“…Chow and Kopell's (2000) two-cell analyses also have predicted correspondences in larger systems of all-to-all coupled neurons. Furthermore, we previously used simulations and bifurcation analyses to show that it is possible to link two-cell dynamics to larger network dynamics in which the networks are due to inhibitory coupling and the neurons have biophysical characteristics that are not identical (Skinner et al 2005a). Thus it is not unreasonable to think that some linkage might also be possible with electrical coupling.…”
Section: Discussionmentioning
confidence: 99%
“…Chow and Kopell's (2000) two-cell analyses also have predicted correspondences in larger systems of all-to-all coupled neurons. Furthermore, we previously used simulations and bifurcation analyses to show that it is possible to link two-cell dynamics to larger network dynamics in which the networks are due to inhibitory coupling and the neurons have biophysical characteristics that are not identical (Skinner et al 2005a). Thus it is not unreasonable to think that some linkage might also be possible with electrical coupling.…”
Section: Discussionmentioning
confidence: 99%
“…These models provide a different approach by describing the brain from a microscopic scale [68]. Typically, they range from a single synapse to networks of millions of neurons.…”
Section: A32 Biophysical Network Modelsmentioning
confidence: 99%
“…For all simulations the adopted value of parameters g In and g El were all within the physiological range (Gibson et al 1999;Galarreta and Hestrin 2002). It is worth noticing that the all to all coupling between interneurons adopted here was also used in other papers (White et al 1998;Nomura et al 2003;Kopell and Ermentrout 2004;Yoshioka 2005;Skinner et al 2005;Borgers et al 2005;Gao and Holmes 2007).…”
Section: Synaptic Couplingmentioning
confidence: 99%