Cooperative behavior in a jump diffusion model for a simple network of spiking neurons
The distribution of time intervals between successivespikes generated by a neuronal cell --the interspike intervals(ISI)-- may reveal interesting features of the underlyingdynamics. In this study we analyze the ISI sequence --thespike train-- generated by a simple network of neurons whose outputacti...
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AIMS Press
2013-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.385 |
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| author | Roberta Sirovich Laura Sacerdote Alessandro E. P. Villa |
| author_facet | Roberta Sirovich Laura Sacerdote Alessandro E. P. Villa |
| author_sort | Roberta Sirovich |
| collection | DOAJ |
| description | The distribution of time intervals between successivespikes generated by a neuronal cell --the interspike intervals(ISI)-- may reveal interesting features of the underlyingdynamics. In this study we analyze the ISI sequence --thespike train-- generated by a simple network of neurons whose outputactivity is modeled by a jump-diffusion process. We prove that,when specific ranges of the involved parameters are chosen, it is possible toobserve multimodal ISI distributions which reveal that the modelednetwork fires with more than one single preferred time interval.Furthermore, the system exhibits resonance behavior, withmodulation of the spike timings by the noise intensity. We also show that inhibition helps the signal transmission between theunits of the simple network. |
| format | Article |
| id | doaj-art-4fbbdbe6b5f3418aa4a463e143c392bc |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4fbbdbe6b5f3418aa4a463e143c392bc2025-01-24T02:28:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-09-0111238540110.3934/mbe.2014.11.385Cooperative behavior in a jump diffusion model for a simple network of spiking neuronsRoberta Sirovich0Laura Sacerdote1Alessandro E. P. Villa2Department of Mathematics "G. Peano", University of Torino, Via Carlo Alberto 10, 10123 TorinoDepartment of Mathematics "G. Peano", University of Torino, Via Carlo Alberto 10, 10123 TorinoGrenoble Institute of Neuroscience Inserm UMRS 836, University Joseph Fourier GrenobleThe distribution of time intervals between successivespikes generated by a neuronal cell --the interspike intervals(ISI)-- may reveal interesting features of the underlyingdynamics. In this study we analyze the ISI sequence --thespike train-- generated by a simple network of neurons whose outputactivity is modeled by a jump-diffusion process. We prove that,when specific ranges of the involved parameters are chosen, it is possible toobserve multimodal ISI distributions which reveal that the modelednetwork fires with more than one single preferred time interval.Furthermore, the system exhibits resonance behavior, withmodulation of the spike timings by the noise intensity. We also show that inhibition helps the signal transmission between theunits of the simple network.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.385noisy leaky integrate and firemultimodality.first exit timesornsteinuhlenbeck processstochastic resonancepreferred timeintervals |
| spellingShingle | Roberta Sirovich Laura Sacerdote Alessandro E. P. Villa Cooperative behavior in a jump diffusion model for a simple network of spiking neurons Mathematical Biosciences and Engineering noisy leaky integrate and fire multimodality. first exit times ornsteinuhlenbeck process stochastic resonance preferred timeintervals |
| title | Cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| title_full | Cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| title_fullStr | Cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| title_full_unstemmed | Cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| title_short | Cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| title_sort | cooperative behavior in a jump diffusion model for a simple network of spiking neurons |
| topic | noisy leaky integrate and fire multimodality. first exit times ornsteinuhlenbeck process stochastic resonance preferred timeintervals |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.385 |
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