Revisiting the All-or-None Principle in the Context of the Hodgkin-Huxley Model's Limitations
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2024
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| _version_ | 1866901224989655040 |
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| author | Luleå University of Technology Sweden. |
| author_facet | Luleå University of Technology Sweden. |
| contents | <p>—Mathematical and computational modellings are the necessary tools for reviewing, analysing, and predicting processes and events in the wide spectrum range of scientific fields. Therefore, in a field as rapidly developing as neuroscience, the combination of these two modellings can have a significant role in helping to guide the direction the field takes. The paper combined mathematical and computational modelling to prove a weakness in a very precious model in neuroscience. This paper is intended to analyse all-or-none principle in Hodgkin-Huxley mathematical model. By implementation the computational model of Hodgkin-Huxley model and applying the concept of all-or-none principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of Hodgkin-Huxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the Hodgkin-Huxley model are needed in order to create a model without this weakness</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19334452 |
| institution | Zenodo |
| language | |
| publishDate | 2024 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Revisiting the All-or-None Principle in the Context of the Hodgkin-Huxley Model's Limitations Luleå University of Technology Sweden. All-or-none computational modelling mathematical model transmembrane voltage action potential. <p>—Mathematical and computational modellings are the necessary tools for reviewing, analysing, and predicting processes and events in the wide spectrum range of scientific fields. Therefore, in a field as rapidly developing as neuroscience, the combination of these two modellings can have a significant role in helping to guide the direction the field takes. The paper combined mathematical and computational modelling to prove a weakness in a very precious model in neuroscience. This paper is intended to analyse all-or-none principle in Hodgkin-Huxley mathematical model. By implementation the computational model of Hodgkin-Huxley model and applying the concept of all-or-none principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of Hodgkin-Huxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the Hodgkin-Huxley model are needed in order to create a model without this weakness</p> |
| title | Revisiting the All-or-None Principle in the Context of the Hodgkin-Huxley Model's Limitations |
| topic | All-or-none computational modelling mathematical model transmembrane voltage action potential. |
| url | https://doi.org/10.5281/zenodo.19334452 |