| Excitatory and inhibitory interactions in populations of model neurons (Wilson and Cowan 1972) |
| Accession: 76879 |
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 of the limit cycle oscillation is 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.
Reference: Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24 [PubMed] |
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| From Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons
Hugh R. Wilson and Jack D. Cowan; Biophys J. 1972 January; 12:1-24.
To run:
nrnivmodl
nrngui wc.hoc
Buttons marked 'slow' use movierun so as to allow the trajectory to be viewed
during the run.
Parameters can be set in the PointProcessManager. Then use 'As set' button to run
without resetting the parameters.
This implementation was copied from Bard Ermentrout's xppaut file: wc.ode
(included)
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