https://doi.org/10.1140/epjp/s13360-023-04406-2
Regular Article
Stochastic model for signal propagation
1
Departamento de Física, UNESP, São José do Rio Preto, SP, Brazil
2
Unilago, São José do Rio Preto, SP, Brazil
Received:
17
July
2023
Accepted:
8
August
2023
Published online:
1
September
2023
A key for understanding any information process depends on the nature of the signal propagation. This article introduces a one-dimensional model that describes the passage of the signal through a duct. The Fokker–Planck equation, a stochastic equation, is used, and a drive force function is suggested to model the behavior of the signal transmission. Solving the Fokker–Planck equation for the equilibrium state, we find the solvable potential of an analytical system and obtain the exact probability density function, which is used to obtain a characteristic time for the passage of information. This kind of model can be used for a lot of different problems. As an application, we try to understand the ionic firing in axons. The parameters introduced in the model are fixed from phenomenological data related to a human femoral motor neuron.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
