The FitzHugh-Nagumo Equations and Quantum Noise
Ghose, P. & Pinotsis, D. A. 
ORCID: 0000-0002-6865-8103 (2025).
The FitzHugh-Nagumo Equations and Quantum Noise.
Computational and Structural Biotechnology Journal, 30,
pp. 12-20.
doi: 10.1016/j.csbj.2025.02.023
Abstract
It is unclear whether quantum phenomena can be observed in brain recordings because of thermal noise causing decoherence, that is, quantum superpositions and entanglement quickly collapsing into classical, i.e. non-quantum states. This paper first demonstrates that neuronal noise of the Brownian motion type is mathematically equivalent to a wave-particle description of the kind predicted by a fundamental equation in quantum mechanics known as the Schrödinger equation. It then extends the considerations to the more realistic FitzHugh-Nagumo model which has been widely used to describe neuronal dynamics. This approach could provide new insights into the underlying mechanisms of brain function.
| Publication Type: | Article |
|---|---|
| Additional Information: | © 2025 The Authors. Published by Elsevier B.V. on behalf of Research Network of Computational and Structural Biotechnology. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QC Physics R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry |
| Departments: | School of Health & Medical Sciences School of Health & Medical Sciences > Psychology |
| SWORD Depositor: |
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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