{"title":"复杂系统中波动现象的建模准则:神经信号的例子","authors":"J. Engelbrecht, K. Tamm, T. Peets","doi":"10.3176/PROC.2019.3.05","DOIUrl":null,"url":null,"abstract":"The propagation of signals in nerves is characterized by complexity where the interactions between the electrical signal and accompanying mechanical and thermal effects must be taken into account. That is why in the modelling of wave phenomena the knowledge from physiology, physics, and mathematics must be cast into a whole. In this paper the wave phenomena in nerves are characterized from the viewpoint of complexity and interdisciplinarity, followed by the analysis of principles and criteria in the modelling of biological systems. The central part is the description of the step-by-step approach in building up a coupled mathematical model of signal propagation in axons. Attention is paid to the coupling forces which link the single waves into an ensemble. The mathematical description of the model is presented in the Appendix.","PeriodicalId":54577,"journal":{"name":"Proceedings of the Estonian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3176/PROC.2019.3.05","citationCount":"5","resultStr":"{\"title\":\"Criteria for modelling wave phenomena in complex systems:the case of signals in nerves\",\"authors\":\"J. Engelbrecht, K. Tamm, T. Peets\",\"doi\":\"10.3176/PROC.2019.3.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The propagation of signals in nerves is characterized by complexity where the interactions between the electrical signal and accompanying mechanical and thermal effects must be taken into account. That is why in the modelling of wave phenomena the knowledge from physiology, physics, and mathematics must be cast into a whole. In this paper the wave phenomena in nerves are characterized from the viewpoint of complexity and interdisciplinarity, followed by the analysis of principles and criteria in the modelling of biological systems. The central part is the description of the step-by-step approach in building up a coupled mathematical model of signal propagation in axons. Attention is paid to the coupling forces which link the single waves into an ensemble. The mathematical description of the model is presented in the Appendix.\",\"PeriodicalId\":54577,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.3176/PROC.2019.3.05\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Estonian Academy of Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.3176/PROC.2019.3.05\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Estonian Academy of Sciences","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.3176/PROC.2019.3.05","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Criteria for modelling wave phenomena in complex systems:the case of signals in nerves
The propagation of signals in nerves is characterized by complexity where the interactions between the electrical signal and accompanying mechanical and thermal effects must be taken into account. That is why in the modelling of wave phenomena the knowledge from physiology, physics, and mathematics must be cast into a whole. In this paper the wave phenomena in nerves are characterized from the viewpoint of complexity and interdisciplinarity, followed by the analysis of principles and criteria in the modelling of biological systems. The central part is the description of the step-by-step approach in building up a coupled mathematical model of signal propagation in axons. Attention is paid to the coupling forces which link the single waves into an ensemble. The mathematical description of the model is presented in the Appendix.
期刊介绍：
The Proceedings of the Estonian Academy of Sciences is an international scientific open access journal published by the Estonian Academy of Sciences in collaboration with the University of Tartu, Tallinn University of Technology, Tallinn University, and the Estonian University of Life Sciences.
The journal publishes primary research and review papers in the English language. All articles are provided with short Estonian summaries.
All papers to be published in the journal are peer reviewed internationally.
The journal is open to word-wide scientific community for publications in all fields of science represented at the Estonian Academy of Sciences and having certain connection with our part of the world, North Europe and the Baltic area in particular.
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