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Effect of Dynamic Threshold on the Response and Bifurcation in a Space Clamped FHN Model with External Stimulus
https://kindai.repo.nii.ac.jp/records/11151
https://kindai.repo.nii.ac.jp/records/11151f0cc49a9-25dc-4934-869c-207ebb5648ef
名前 / ファイル | ライセンス | アクション |
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Item type | ☆紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||||
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公開日 | 2012-04-11 | |||||||||||||||
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タイトル | Effect of Dynamic Threshold on the Response and Bifurcation in a Space Clamped FHN Model with External Stimulus | |||||||||||||||
言語 | en | |||||||||||||||
著者 |
Das, M. K.
× Das, M. K.
× Bhattacharjee, A.
× Bhatraju, N. K.
× Yuasa, M.
× Ghosh, S.
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言語 | ||||||||||||||||
言語 | eng | |||||||||||||||
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主題 | FHN neuron model, Threshold function, Bifurcation diagram, External Stimulus | |||||||||||||||
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資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||
資源タイプ | departmental bulletin paper | |||||||||||||||
著者 所属 | ||||||||||||||||
Institute of informatics & Communication, University of Delhi South Campus | ||||||||||||||||
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Department of Mathematics, Jadavpur University | ||||||||||||||||
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Department of Animal Sciences, University of Hyderabad | ||||||||||||||||
著者 所属 | ||||||||||||||||
Research Institute for Science and Technology, Kinki University | ||||||||||||||||
著者 所属 | ||||||||||||||||
Department of Biophysics, University of Delhi South Campus | ||||||||||||||||
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近畿大学 | ||||||||||||||||
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出版タイプ | VoR | |||||||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||
出版者 名前 | ||||||||||||||||
出版者 | 近畿大学理工学総合研究所 | |||||||||||||||
書誌情報 |
理工学総合研究所研究報告 en : Annual reports by Research Institute for Science and Technology 号 24, p. 1-9, 発行日 2012-02-01 |
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収録物識別子タイプ | ISSN | |||||||||||||||
収録物識別子 | 09162054 | |||||||||||||||
抄録 | ||||||||||||||||
内容記述タイプ | Abstract | |||||||||||||||
内容記述 | [Abstract] The neuronal models are known to exhibit a variety of firing patterns which mimic the spiking patterns of real neurons. Although the exhibited firing patterns are highly dependent on the type of neuron; a majority of these firing patterns could be mimicked by modulating various parameters of the simulated models. In the present work, the effect of the temporal variation of the threshold on the firing patterns of the FHN neuron model has been studied. By considering various deterministic (periodic, damped periodic and mixed mode) functions for the threshold we show that the firing patterns of the FHN model are in phase with the threshold function under consideration. But, up on addition of deterministic noise to the periodic threshold function, the firing patterns became incoherent. Further, the combined effect of external stimulus and mixed mode threshold variation on the FHN model has beenstudied. This was accomplished by constructing bifurcation diagrams of the corresponding map-based model. The continuous FHN model has been transformed into discrete system by applying forward Euler scheme which was further used for constructing the bifurcation patterns. The patterns in the obtained bifurcation diagrams indicate that the complexity underlying the dynamics of the aforementioned FHN system is sensitive to the nature of the external stimulus. | |||||||||||||||
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内容記述タイプ | Other | |||||||||||||||
内容記述 | application/pdf |