Document Detail

Periodically forced leaky integrate-and-fire model.
MedLine Citation:
PMID:  11308877     Owner:  NLM     Status:  MEDLINE    
The discharge pattern of periodically forced leaky integrate-and-fire models is studied. While previous analyses have been mainly concerned with the response of this model to sinusoidal stimulation, our results hold for arbitrary periodic inputs. It is shown that, for any periodic input, the map representing the relation between input phases at consecutive discharge times can be restricted to a piecewise continuous, orientation preserving circle map. This implies that (i) the rotation number is well defined and independent of the initial condition, and (ii) in the same way as for sinusoidal forcing, other forms of periodic stimuli can evoke only one of four types of response, namely, phase locking, quasiperiodic discharges, nonchaotic aperiodic firing, and termination of the discharge after a finite number of firings.
K Pakdaman
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Publication Detail:
Type:  Journal Article     Date:  2001-03-27
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  63     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2001 Apr 
Date Detail:
Created Date:  2001-04-19     Completed Date:  2004-09-09     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  041907     Citation Subset:  IM    
Inserm U444, Faculté de Médecine Saint-Antoine, 27 Rue Chaligny, 75571 Paris Cedex 12, France.
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MeSH Terms
Action Potentials
Models, Neurological*
Models, Statistical
Nerve Net
Neurons / physiology*
Synaptic Transmission*
Time Factors

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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