{"title":"生物神经元传输线的建模与仿真","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":"{\"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}","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}
Modelling and simulation of transmission lines in a biological neuron
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.