Eder J. N. Terra, Marcelo Tozo de Araujo, Elso Drigo Filho
{"title":"Stochastic model for signal propagation","authors":"Eder J. N. Terra, Marcelo Tozo de Araujo, Elso Drigo Filho","doi":"10.1140/epjp/s13360-023-04406-2","DOIUrl":null,"url":null,"abstract":"<div><p>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 <i>drive force</i> 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.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 9","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-023-04406-2","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.