{"title":"Modelling and simulation of transmission lines in a biological neuron","authors":"Charaf Eddine Bailoul, N. Alaa","doi":"10.1504/ijcbdd.2020.10029442","DOIUrl":null,"url":null,"abstract":"In this paper, we present a new mathematical model that explains the transmission along a biological neuron. We also present a numerical scheme based on the four order β-method to simulate numerically the transmission. The idea is to couple the β-method of high order with Runge Kutta method in order to get high order schemes without oscillations. Furthermore, various numerical experiments are presented to show the power and efficiency of our proposed model.","PeriodicalId":13612,"journal":{"name":"Int. J. Comput. Biol. Drug Des.","volume":"24 1","pages":"224-234"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Comput. Biol. Drug Des.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijcbdd.2020.10029442","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we present a new mathematical model that explains the transmission along a biological neuron. We also present a numerical scheme based on the four order β-method to simulate numerically the transmission. The idea is to couple the β-method of high order with Runge Kutta method in order to get high order schemes without oscillations. Furthermore, various numerical experiments are presented to show the power and efficiency of our proposed model.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
