A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model
A method to generate first passage times for a class of stochastic processes is proposed. It does not require construction of the trajectories as usually needed in simulation studies, but is based on an integral equation whose unknown quantity is the probability density function of the studied first...
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| Format: | Article |
| Language: | English |
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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.2014.11.1 |
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| _version_ | 1832590118867697664 |
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| author | Aniello Buonocore Luigia Caputo Enrica Pirozzi Maria Francesca Carfora |
| author_facet | Aniello Buonocore Luigia Caputo Enrica Pirozzi Maria Francesca Carfora |
| author_sort | Aniello Buonocore |
| collection | DOAJ |
| description | A method to generate first passage times for a class of stochastic processes is proposed. It does not require construction of the trajectories as usually needed in simulation studies, but is based on an integral equation whose unknown quantity is the probability density function of the studied first passage times and on the application of the hazard rate method. The proposed procedure is particularly efficient in the case of the Ornstein-Uhlenbeck process, which is important for modeling spiking neuronal activity. |
| format | Article |
| id | doaj-art-63e6b239c6284661a1a915099bb4b852 |
| 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-63e6b239c6284661a1a915099bb4b8522025-01-24T02:26:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-08-0111111010.3934/mbe.2014.11.1A simple algorithm to generate firing times for leaky integrate-and-fire neuronal modelAniello Buonocore0Luigia Caputo1Enrica Pirozzi2Maria Francesca Carfora3Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, NapoliDipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, NapoliDipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, NapoliIstituto per le Appplicazioni del Calcolo "Mauro Picone", Consiglio Nazionale delle Ricerche, Via Pietro Castellino, NapoliA method to generate first passage times for a class of stochastic processes is proposed. It does not require construction of the trajectories as usually needed in simulation studies, but is based on an integral equation whose unknown quantity is the probability density function of the studied first passage times and on the application of the hazard rate method. The proposed procedure is particularly efficient in the case of the Ornstein-Uhlenbeck process, which is important for modeling spiking neuronal activity.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1spike train generationornstein-uhlenbeck processfirst passage timehazard rate method.instantaneous firing rate |
| spellingShingle | Aniello Buonocore Luigia Caputo Enrica Pirozzi Maria Francesca Carfora A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model Mathematical Biosciences and Engineering spike train generation ornstein-uhlenbeck process first passage time hazard rate method. instantaneous firing rate |
| title | A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model |
| title_full | A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model |
| title_fullStr | A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model |
| title_full_unstemmed | A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model |
| title_short | A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model |
| title_sort | simple algorithm to generate firing times for leaky integrate and fire neuronal model |
| topic | spike train generation ornstein-uhlenbeck process first passage time hazard rate method. instantaneous firing rate |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1 |
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