A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case.
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| Title: | A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case. |
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| Authors: | DUMONT, GRÉGORY1, HENRY, JACQUES2, TARNICERIU, CARMEN OANA3,4 tarniceriuoana@yahoo.co.uk |
| Source: | Mathematical Modelling of Natural Phenomena. 12/3/2020, Vol. 15, p1-20. 20p. |
| Subjects: | Stochastic processes, Escapes, Mathematical models |
| Abstract: | Finding a mathematical model that incorporates various stochastic aspects of neural dynamics has proven to be a continuous challenge. Among the different approaches, the noisy leaky integrate-and-fire and the escape rate models are probably the most popular. These two models are generally thought to express different noise action over the neural cell. In this paper we investigate the link between the two formalisms in the case of a neuron subject to a time dependent input. To this aim, we introduce a new general stochastic framework. As we shall prove, our general framework entails the two already existing ones. Our results have theoretical implications since they offer a general view upon the two stochastic processes mostly used in neuroscience, upon the way they can be linked, and explain their observed statistical similarity. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 148771325 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1051/mmnp/2020017 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Subjects: – SubjectFull: Stochastic processes Type: general – SubjectFull: Escapes Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: DUMONT, GRÉGORY – PersonEntity: Name: NameFull: HENRY, JACQUES – PersonEntity: Name: NameFull: TARNICERIU, CARMEN OANA IsPartOfRelationships: – BibEntity: Dates: – D: 03 M: 12 Text: 12/3/2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 09735348 Numbering: – Type: volume Value: 15 Titles: – TitleFull: Mathematical Modelling of Natural Phenomena Type: main |
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