On information theoretical modelling of the communications between neurons and the corresponding information rate
Abstract In a nervous system propagation of spikes among neurons can be interpreted as an information transmission process, where, a neural response carries information about the stimulus. Quantification of this information might be of theoretical and practical importance. In this paper, (i) The int...
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| Format: | Article |
| Language: | English |
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Wiley
2023-12-01
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| Series: | IET Communications |
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| Online Access: | https://doi.org/10.1049/cmu2.12688 |
| _version_ | 1827596530304942080 |
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| author | Sedighe Kalatiani Ghosheh Abed Hodtani |
| author_facet | Sedighe Kalatiani Ghosheh Abed Hodtani |
| author_sort | Sedighe Kalatiani |
| collection | DOAJ |
| description | Abstract In a nervous system propagation of spikes among neurons can be interpreted as an information transmission process, where, a neural response carries information about the stimulus. Quantification of this information might be of theoretical and practical importance. In this paper, (i) The interaction between two neurons with an electrically coupled transport of ions is modelled mathematically, where the communication through the junction gap between very close neurons occurs with a specific time delay; (ii) then, the connection structure of neurons is proposed based on a particular Rulkov network model. The corresponding process is modelled as a non‐linear binary channel with memory; and (iii) by assuming a recurrence relation for number of available membrane potential changing due to the arrival of the spike to the axonal terminal, the mutual information between channel input and output is obtained and the input range maximizing mutual information, and hence, the information rate of channel is derived. |
| first_indexed | 2024-03-09T03:11:53Z |
| format | Article |
| id | doaj.art-610bc780e4954ccbbd569edab55375a9 |
| institution | Directory Open Access Journal |
| issn | 1751-8628 1751-8636 |
| language | English |
| last_indexed | 2024-03-09T03:11:53Z |
| publishDate | 2023-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Communications |
| spelling | doaj.art-610bc780e4954ccbbd569edab55375a92023-12-04T03:45:21ZengWileyIET Communications1751-86281751-86362023-12-0117192178218710.1049/cmu2.12688On information theoretical modelling of the communications between neurons and the corresponding information rateSedighe Kalatiani0Ghosheh Abed Hodtani1Department of Electrical Engineering Ferdowsi University of Mashhad Mashhad IranDepartment of Electrical Engineering Ferdowsi University of Mashhad Mashhad IranAbstract In a nervous system propagation of spikes among neurons can be interpreted as an information transmission process, where, a neural response carries information about the stimulus. Quantification of this information might be of theoretical and practical importance. In this paper, (i) The interaction between two neurons with an electrically coupled transport of ions is modelled mathematically, where the communication through the junction gap between very close neurons occurs with a specific time delay; (ii) then, the connection structure of neurons is proposed based on a particular Rulkov network model. The corresponding process is modelled as a non‐linear binary channel with memory; and (iii) by assuming a recurrence relation for number of available membrane potential changing due to the arrival of the spike to the axonal terminal, the mutual information between channel input and output is obtained and the input range maximizing mutual information, and hence, the information rate of channel is derived.https://doi.org/10.1049/cmu2.12688channel capacityinformation theoryneural netsnonlinear estimation |
| spellingShingle | Sedighe Kalatiani Ghosheh Abed Hodtani On information theoretical modelling of the communications between neurons and the corresponding information rate IET Communications channel capacity information theory neural nets nonlinear estimation |
| title | On information theoretical modelling of the communications between neurons and the corresponding information rate |
| title_full | On information theoretical modelling of the communications between neurons and the corresponding information rate |
| title_fullStr | On information theoretical modelling of the communications between neurons and the corresponding information rate |
| title_full_unstemmed | On information theoretical modelling of the communications between neurons and the corresponding information rate |
| title_short | On information theoretical modelling of the communications between neurons and the corresponding information rate |
| title_sort | on information theoretical modelling of the communications between neurons and the corresponding information rate |
| topic | channel capacity information theory neural nets nonlinear estimation |
| url | https://doi.org/10.1049/cmu2.12688 |
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