Authors: Zachary P Kilpatrick G Bard Ermentrout
Publish Date: 2011/06/14
Volume: 32, Issue: 1, Pages: 25-53
Abstract
We study the spatiotemporal dynamics of neuronal networks with spike frequency adaptation In particular we compare the effects of adaptation being either a linear or nonlinear function of neural activity We find that altering parameters controlling the strength of synaptic connections in the network can lead to spatially structured activity suggestive of symptoms of hallucinogen persisting perception disorder HPPD First we study how both networks track spatially homogeneous flickering stimuli and find input is encoded as continuous at lower flicker frequencies when the network’s synapses exhibit more net excitation Mainly we study instabilities of stimulusdriven traveling pulse solutions representative of visual trailing phenomena common to HPPD patients Visual trails are reported as discrete afterimages in the wake of a moving input Thus we analyze several solutions arising in response to moving inputs in both networks an ON state stimuluslocked pulses and traveling breathers We find traveling breathers can arise in both networks when an input moves beyond a critical speed These possible neural substrates of visual trails occur at slower speeds when the modulation of synaptic connectivity is increasedWe would like to thank Julien Dubois for sharing with us reports from subjects regarding the specifics of visual trails due to HPPD We also thank Henry Abraham for use of his patient’s drawing of a visual trails experience ZPK is supported by an NSF Mathematical Sciences Postdoctoral Research Fellowship DMS1004422 GBE is supported by an NSF grant DMS0817131
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