Academic Journal
The Inverse First Passage time method for a two dimensional Ornstein Uhlenbeck process with neuronal application
| العنوان: | The Inverse First Passage time method for a two dimensional Ornstein Uhlenbeck process with neuronal application |
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| المؤلفون: | Civallero A., Zucca C. |
| المساهمون: | Civallero A., Zucca C. |
| سنة النشر: | 2019 |
| المجموعة: | Università degli studi di Torino: AperTo (Archivio Istituzionale ad Accesso Aperto) |
| مصطلحات موضوعية: | Gamma, Inverse First-passage-time problem, Inverse Gaussian, Two-compartment leaky integrate and fire model, Two-dimensional Ornstein Uhlenbeck process |
| الوصف: | The Inverse First Passage time problem seeks to determine the boundary corresponding to a given stochastic process and a fixed first passage time distribution. Here, we determine the numerical solution of this problem in the case of a two dimensional Gauss-Markov diusion process. We investigate the boundary shape corresponding to Inverse Gaussian or Gamma first passage time distributions for dierent choices of the parameters, including heavy and light tails instances. Applications in neuroscience framework are illustrated. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/pmid/31698661; info:eu-repo/semantics/altIdentifier/wos/WOS:000487331700104; volume:16; issue:6; firstpage:8162; lastpage:8178; numberofpages:17; journal:MATHEMATICAL BIOSCIENCES AND ENGINEERING; http://hdl.handle.net/2318/1718095; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85072338729; https://www.aimspress.com/fileOther/PDF/MBE/mbe-16-06-412.pdf |
| DOI: | 10.3934/mbe.2019412 |
| الاتاحة: | http://hdl.handle.net/2318/1718095 https://doi.org/10.3934/mbe.2019412 https://www.aimspress.com/fileOther/PDF/MBE/mbe-16-06-412.pdf |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.CCDF02B3 |
| قاعدة البيانات: | BASE |
| DOI: | 10.3934/mbe.2019412 |
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