Oscillatory waves in inhomogeneous neural media.
In this Letter we show that an inhomogeneous input can induce wave propagation failure in an excitatory neural network due to the pinning of a stationary front or pulse solution. A subsequent reduction in the strength of the input can lead to a Hopf instability of the stationary solution resulting in breatherlike oscillatory waves.
Bressloff
P C
PC
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA.
Folias
S E
SE
Prat
A
A
Li
Y-X
YX
D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology*