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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.22269 |
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| _version_ | 1866908382785437696 |
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| author | Burger, Thomas SJ Shahhosseini, Amir Sepulchre, Rodolphe |
| author_facet | Burger, Thomas SJ Shahhosseini, Amir Sepulchre, Rodolphe |
| contents | This paper introduces a model of excitability that unifies the mechanism of an important neuronal property both in time and in space. As a starting point, we revisit both a key model of temporal excitability, proposed by Hodgkin and Huxley, and a key model of spatial excitability, proposed by Amari. We then propose a novel model that captures the temporal and spatial properties of both models. Our aim is to regard neuronal excitability as a property across scales, and to explore the benefits of modeling excitability with one and the same mechanism, whether at the cellular or the population level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A memristive model of spatio-temporal excitability Burger, Thomas SJ Shahhosseini, Amir Sepulchre, Rodolphe Systems and Control This paper introduces a model of excitability that unifies the mechanism of an important neuronal property both in time and in space. As a starting point, we revisit both a key model of temporal excitability, proposed by Hodgkin and Huxley, and a key model of spatial excitability, proposed by Amari. We then propose a novel model that captures the temporal and spatial properties of both models. Our aim is to regard neuronal excitability as a property across scales, and to explore the benefits of modeling excitability with one and the same mechanism, whether at the cellular or the population level. |
| title | A memristive model of spatio-temporal excitability |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2505.22269 |