Document Detail

Impact of temporal variation and the balance between excitation and inhibition on the output of the perfect integrate-and-fire model.
MedLine Citation:
PMID:  9729065     Owner:  NLM     Status:  MEDLINE    
We consider how the output of the perfect integrate-and-fire (I&F) model of a single neuron is affected by the properties of the input, first of all by the distribution of afferent excitatory and inhibitory postsynaptic potential (EPSP, IPSP) inter-arrival times, discriminating particularly between short- and long-tailed forms, and by the degree of balance between excitation and inhibition (as measured by the ratio, r, between the numbers of inhibitory and excitatory inputs). We find that the coefficient of variation (CV; standard deviation divided by mean) of efferent interspike interval (ISI) is an increasing function of the length of the tail of the distribution of EPSP inter-arrival times and the ratio r. There is a range of values of r in which the CV of output ISIs is between 0.5 and 1. Too tight a balance between EPSPs and IPSPs will cause the model to produce a CV outside the interval considered to correspond to the physiological range. Going to the extreme, an exact balance between EPSPs and IPSPs as considered in [24] ensures a long-tailed ISI output distribution for which the moments such as mean and variance cannot be defined. In this case it is meaningless to consider quantities like output jitter, CV, etc. of the efferent ISIs. The longer the tail of the input inter-arrival time distribution, the less is the requirement for balance between EPSPs and IPSPs in order to evoke output spike trains with a CV between 0.5 and 1. For a given short-tailed input distribution, the range of values of r in which the CV of efferent ISIs is between 0.5 and 1 is almost completely inside the range in which output jitter (standard deviation of efferent ISI) is greater than input jitter. Only when the CV is smaller than 0.5 or the input distribution is a long-tailed one is output less than input jitter [21]. The I&F model tends to enlarge low input jitter and reduce high input jitter. We also provide a novel theoretical framework, based upon extreme value theory in statistics, for estimating output jitter, CV and mean firing time.
J Feng; D Brown
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Biological cybernetics     Volume:  78     ISSN:  0340-1200     ISO Abbreviation:  Biol Cybern     Publication Date:  1998 May 
Date Detail:
Created Date:  1998-08-31     Completed Date:  1998-08-31     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  7502533     Medline TA:  Biol Cybern     Country:  GERMANY    
Other Details:
Languages:  eng     Pagination:  369-76     Citation Subset:  IM    
Biomathematics Laboratory, Babraham Institute, Cambridge, UK.
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MeSH Terms
Action Potentials
Afferent Pathways / physiology
Analysis of Variance
Haplorhini / physiology
Models, Neurological*
Neurons / physiology*
Synaptic Transmission
Time Factors
Visual Cortex / physiology

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