Abstract | ||
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We examine the existence and stability of spatially localized “bumps” of neuronal activity in a network of spiking neurons. Bumps have been proposed in mechanisms of visual orientation tuning, the rat head direction system, and working memory. We show that a bump solution can exist in a spiking network provided the neurons fire asynchronously within the bump. We consider a parameter regime where the bump solution is bistable with an all-off state and can be initiated with a transient excitatory stimulus. We show that the activity profile matches that of a corresponding population rate model. The bump in a spiking network can lose stability through partial synchronization to either a traveling wave or the all-off state. This can occur if the synaptic timescale is too fast through a dynamical effect or if a transient excitatory pulse is applied to the network. A bump can thus be activated and deactivated with excitatory inputs that may have physiological relevance. |
Year | DOI | Venue |
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2001 | 10.1162/089976601750264974 | Neural Computation |
Keywords | Field | DocType |
working memory,neuronal activity,traveling wave | Population,Mathematical optimization,Bistability,Neuroscience,Synchronization,Premovement neuronal activity,Biological system,Excitatory postsynaptic potential,Stimulus (physiology),Artificial neural network,Mathematics,Synaptic potential | Journal |
Volume | Issue | ISSN |
13 | 7 | 0899-7667 |
Citations | PageRank | References |
63 | 11.31 | 11 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Carlo R. Laing | 1 | 295 | 41.21 |
Carson C. Chow | 2 | 453 | 60.03 |