Effect of spontaneous activity on stimulus detection in a simple neuronal model
It is studied what level of a continuous-valued signal is optimally estimable on the basis of first-spike latency neuronal data. When a spontaneous neuronal activity is present, the first spike after the stimulus onset may be caused either by the stimulus itself, or it may be a result of the prevail...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2016007 |
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| author | Marie Levakova |
| author_facet | Marie Levakova |
| author_sort | Marie Levakova |
| collection | DOAJ |
| description | It is studied what level of a continuous-valued signal is optimally estimable on the basis of first-spike latency neuronal data. When a spontaneous neuronal activity is present, the first spike after the stimulus onset may be caused either by the stimulus itself, or it may be a result of the prevailing spontaneous activity. Under certain regularity conditions, Fisher information is the inverse of the variance of the best estimator. It can be considered as a function of the signal intensity and then indicates accuracy of the estimation for each signal level. The Fisher information is normalized with respect to the time needed to obtain an observation. The accuracy of signal level estimation is investigated in basic discharge patterns modelled by a Poisson and a renewal process and the impact of the complex interaction between spontaneous activity and a delay of the response is shown. |
| format | Article |
| id | doaj-art-47bf2cda013346bc8493ce4dea920279 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-47bf2cda013346bc8493ce4dea9202792025-01-24T02:35:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-12-0113355156810.3934/mbe.2016007Effect of spontaneous activity on stimulus detection in a simple neuronal modelMarie Levakova0Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlarska 2a, 611 37 BrnoIt is studied what level of a continuous-valued signal is optimally estimable on the basis of first-spike latency neuronal data. When a spontaneous neuronal activity is present, the first spike after the stimulus onset may be caused either by the stimulus itself, or it may be a result of the prevailing spontaneous activity. Under certain regularity conditions, Fisher information is the inverse of the variance of the best estimator. It can be considered as a function of the signal intensity and then indicates accuracy of the estimation for each signal level. The Fisher information is normalized with respect to the time needed to obtain an observation. The accuracy of signal level estimation is investigated in basic discharge patterns modelled by a Poisson and a renewal process and the impact of the complex interaction between spontaneous activity and a delay of the response is shown.https://www.aimspress.com/article/doi/10.3934/mbe.2016007spontaneous activitylatency codingrenewal processfisher informationneuroscience. |
| spellingShingle | Marie Levakova Effect of spontaneous activity on stimulus detection in a simple neuronal model Mathematical Biosciences and Engineering spontaneous activity latency coding renewal process fisher information neuroscience. |
| title | Effect of spontaneous activity on stimulus detection in a simple neuronal model |
| title_full | Effect of spontaneous activity on stimulus detection in a simple neuronal model |
| title_fullStr | Effect of spontaneous activity on stimulus detection in a simple neuronal model |
| title_full_unstemmed | Effect of spontaneous activity on stimulus detection in a simple neuronal model |
| title_short | Effect of spontaneous activity on stimulus detection in a simple neuronal model |
| title_sort | effect of spontaneous activity on stimulus detection in a simple neuronal model |
| topic | spontaneous activity latency coding renewal process fisher information neuroscience. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2016007 |
| work_keys_str_mv | AT marielevakova effectofspontaneousactivityonstimulusdetectioninasimpleneuronalmodel |