?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=New+method+for+analyzing+the+synchronization+of+synaptic+input+and+spike+output+in+neural+systems&rft.creator=Burkitt%2C+Anthony+N.&rft.creator=Clark%2C+Graeme+M.&rft.subject=Theoretical+Biology&rft.subject=Computational+Neuroscience&rft.description=We+present+a+new+technique+for+analyzing+the+probability+distribution+of+output+spikes+for+the+integrate+and+fire+model.+Using+this+method+we+investigate+models+with+arbitrary+synaptic+response+functions+and+the+results%2C+which+are+compared+with+numerical+simulations%2C+are+exact+in+the+limit+of+a+large+number+of+small+amplitude+inputs.+We+apply+this+method+to+the+synchronization+problem%2C+in+which+the+relationship+between+the+spread+in+arrival+times+of+the+inputs+(the+temporal+jitter+of+the+synaptic+input)+and+the+resultant+spread+in+the+times+at+which+the+output+spikes+are+generated+(output+jitter)+is+analyzed.+The+results+indicate+that+the+ratio+of+the+output+jitter+to+the+input+jitter+is+consistently+less+than+one+and+that+it+decreases+for+increasing+numbers+of+inputs%2C+in+agreement+with+earlier+studies.+We+identify+the+variation+in+the+spike+generating+thresholds+of+the+neurons+and+the+variation+in+the+number+of+active+inputs+as+being+important+factors+that+determine+the+timing+jitter+in+layered+networks%2C+in+addition+to+those+identified+previously.&rft.publisher=ACNN'98&rft.contributor=Downs%2C+Tom&rft.contributor=Frean%2C+Marcus&rft.contributor=Gallagher%2C+Marcus&rft.date=1998&rft.type=Conference+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpostscript&rft.identifier=http%3A%2F%2Fcogprints.org%2F38%2F2%2Facnn98.ps&rft.identifier=++Burkitt%2C+Anthony+N.+and+Clark%2C+Graeme+M.++(1998)+New+method+for+analyzing+the+synchronization+of+synaptic+input+and+spike+output+in+neural+systems.++%5BConference+Paper%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F38%2F