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Excitatory and inhibitory interactions in localized populations of model (1972)
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| Venue: | Biophysics |
| Citations: | 495 - 11 self |
BibTeX
@ARTICLE{Wilson72excitatoryand,
author = {Hugh R. Wilson and Jack D. Cowan},
title = {Excitatory and inhibitory interactions in localized populations of model},
journal = {Biophysics},
year = {1972},
pages = {1--24}
}
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Abstract
ABSMAcr Coupled nonlinear differential equations are derived for the dynamics of spatially localized populations containing both excitatory and inhibitory model neurons. Phase plane methods and numerical solutions are then used to investigate population responses to various types of stimuli. The results obtained show simple and multiple hysteresis phenomena and limit cycle activity. The latter is particularly interesting since the frequency ofthe limit cycle oscillationis found to be a monotonic function of stimulus intensity. Finally, it is proved that the existence of limit cycle dynamics in response to one class of stimuli implies the existence of multiple stable states and hysteresis in response to a different class of stimuli. The relation between these findings and a number of experiments is discussed.
Keyphrases
inhibitory interaction localized population phase plane method multiple hysteresis phenomenon monotonic function population response different class stimulus intensity multiple stable state inhibitory model neuron stimulus implies numerical solution limit cycle activity limit cycle dynamic frequency ofthe limit cycle oscillationis various type nonlinear differential equation
