{"title":"可激介质连续模型与离散模型之间的关系","authors":"A. Feldman, Y. Chernyak, R. Cohen","doi":"10.1109/IEMBS.1995.574993","DOIUrl":null,"url":null,"abstract":"The authors derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium this equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. The authors used an approximate solution to obtain equations linking the excitation time scale /spl tau/ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.","PeriodicalId":20509,"journal":{"name":"Proceedings of 17th International Conference of the Engineering in Medicine and Biology Society","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1995-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Relations between continuous and discrete models of excitable media\",\"authors\":\"A. Feldman, Y. Chernyak, R. Cohen\",\"doi\":\"10.1109/IEMBS.1995.574993\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium this equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. The authors used an approximate solution to obtain equations linking the excitation time scale /spl tau/ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.\",\"PeriodicalId\":20509,\"journal\":{\"name\":\"Proceedings of 17th International Conference of the Engineering in Medicine and Biology Society\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 17th International Conference of the Engineering in Medicine and Biology Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IEMBS.1995.574993\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 17th International Conference of the Engineering in Medicine and Biology Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEMBS.1995.574993","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Relations between continuous and discrete models of excitable media
The authors derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium this equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. The authors used an approximate solution to obtain equations linking the excitation time scale /spl tau/ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.