The effect of interspike interval statistics on the information gainunder the rate coding hypothesis
The question, how much information can be theoreticallygained from variable neuronal firing rate with respect to constantaverage firing rate is investigated.We employ the statistical concept of information based on the Kullback-Leibler divergence,and assume rate-modulated renewal processes as a mode...
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| Format: | Article |
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AIMS Press
2013-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.63 |
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| author | Shinsuke Koyama Lubomir Kostal |
| author_facet | Shinsuke Koyama Lubomir Kostal |
| author_sort | Shinsuke Koyama |
| collection | DOAJ |
| description | The question, how much information can be theoreticallygained from variable neuronal firing rate with respect to constantaverage firing rate is investigated.We employ the statistical concept of information based on the Kullback-Leibler divergence,and assume rate-modulated renewal processes as a model of spike trains.We show thatif the firing rate variation is sufficiently small and slow(with respect to the mean interspike interval), the information gaincan be expressed by the Fisher information.Furthermore, under certain assumptions, the smallestpossible information gain is provided by gamma-distributed interspikeintervals.The methodology is illustrated and discussed on severaldifferent statistical models of neuronal activity. |
| format | Article |
| id | doaj-art-cbdb785e9e7f4f23badb7f1138140754 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cbdb785e9e7f4f23badb7f11381407542025-01-24T02:26:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-08-01111638010.3934/mbe.2014.11.63The effect of interspike interval statistics on the information gainunder the rate coding hypothesisShinsuke Koyama0Lubomir Kostal1The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562Institute of Physiology, Academy of Sciences of the Czech Republic, Videnska 1083, 14220 PragueThe question, how much information can be theoreticallygained from variable neuronal firing rate with respect to constantaverage firing rate is investigated.We employ the statistical concept of information based on the Kullback-Leibler divergence,and assume rate-modulated renewal processes as a model of spike trains.We show thatif the firing rate variation is sufficiently small and slow(with respect to the mean interspike interval), the information gaincan be expressed by the Fisher information.Furthermore, under certain assumptions, the smallestpossible information gain is provided by gamma-distributed interspikeintervals.The methodology is illustrated and discussed on severaldifferent statistical models of neuronal activity.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.63neural coding.fisher informationkullback-leibler divergencerate-modulated renewal processesneural spike trains |
| spellingShingle | Shinsuke Koyama Lubomir Kostal The effect of interspike interval statistics on the information gainunder the rate coding hypothesis Mathematical Biosciences and Engineering neural coding. fisher information kullback-leibler divergence rate-modulated renewal processes neural spike trains |
| title | The effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| title_full | The effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| title_fullStr | The effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| title_full_unstemmed | The effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| title_short | The effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| title_sort | effect of interspike interval statistics on the information gainunder the rate coding hypothesis |
| topic | neural coding. fisher information kullback-leibler divergence rate-modulated renewal processes neural spike trains |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.63 |
| work_keys_str_mv | AT shinsukekoyama theeffectofinterspikeintervalstatisticsontheinformationgainundertheratecodinghypothesis AT lubomirkostal theeffectofinterspikeintervalstatisticsontheinformationgainundertheratecodinghypothesis AT shinsukekoyama effectofinterspikeintervalstatisticsontheinformationgainundertheratecodinghypothesis AT lubomirkostal effectofinterspikeintervalstatisticsontheinformationgainundertheratecodinghypothesis |