PMID- 19844786
OWN - NLM
STAT- MEDLINE
DCOM- 20110105
LR  - 20211020
IS  - 1573-6873 (Electronic)
IS  - 0929-5313 (Linking)
VI  - 29
IP  - 1-2
DP  - 2010 Aug
TI  - A characterization of the time-rescaled gamma process as a model for spike 
      trains.
PG  - 183-191
LID - 10.1007/s10827-009-0194-y [doi]
AB  - The occurrence of neuronal spikes may be characterized by not only the rate but 
      also the irregularity of firing. We have recently developed a Bayes method for 
      characterizing a sequence of spikes in terms of instantaneous rate and 
      irregularity, assuming that interspike intervals (ISIs) are drawn from a 
      distribution whose shape may vary in time. Though any parameterized family of ISI 
      distribution can be installed in the Bayes method, the ability to detect firing 
      characteristics may depend on the choice of a family of distribution. Here, we 
      select a set of ISI metrics that may effectively characterize spike patterns and 
      determine the distribution that may extract these characteristics. The set of the 
      mean ISI and the mean log ISI are uniquely selected based on the statistical 
      orthogonality, and accordingly the corresponding distribution is the gamma 
      distribution. By applying the Bayes method equipped with the gamma distribution 
      to spike sequences derived from different ISI distributions such as the 
      log-normal and inverse-Gaussian distribution, we confirm that the gamma 
      distribution effectively extracts the rate and the shape factor.
FAU - Shimokawa, Takeaki
AU  - Shimokawa T
AD  - Department of Physics, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan. 
      shimokawa@ton.scphys.kyoto-u.ac.jp.
FAU - Koyama, Shinsuke
AU  - Koyama S
AD  - Department of Statistics and Center for Neural Basis of Cognition, Carnegie 
      Mellon University, Pittsburgh, PA, 15213, USA.
FAU - Shinomoto, Shigeru
AU  - Shinomoto S
AD  - Department of Physics, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan.
LA  - eng
GR  - R01 EB005847/EB/NIBIB NIH HHS/United States
GR  - R01 MH064537/MH/NIMH NIH HHS/United States
GR  - R01 NS050256/NS/NINDS NIH HHS/United States
PT  - Journal Article
PT  - Research Support, N.I.H., Extramural
PT  - Research Support, Non-U.S. Gov't
DEP - 20091021
PL  - United States
TA  - J Comput Neurosci
JT  - Journal of computational neuroscience
JID - 9439510
SB  - IM
MH  - Action Potentials/*physiology
MH  - Animals
MH  - Bayes Theorem
MH  - *Models, Neurological
MH  - Neurons/*physiology
MH  - Time Factors
EDAT- 2009/10/22 06:00
MHDA- 2011/01/06 06:00
CRDT- 2009/10/22 06:00
PHST- 2008/12/21 00:00 [received]
PHST- 2009/10/08 00:00 [accepted]
PHST- 2009/09/28 00:00 [revised]
PHST- 2009/10/22 06:00 [entrez]
PHST- 2009/10/22 06:00 [pubmed]
PHST- 2011/01/06 06:00 [medline]
AID - 10.1007/s10827-009-0194-y [pii]
AID - 10.1007/s10827-009-0194-y [doi]
PST - ppublish
SO  - J Comput Neurosci. 2010 Aug;29(1-2):183-191. doi: 10.1007/s10827-009-0194-y. Epub 
      2009 Oct 21.