Peter Mortensen;Hao Gao;Godfrey Smith;Radostin D Simitev
{"title":"附录:肌细胞-成纤维细胞偶联心房组织模型中的动作电位传播和阻滞","authors":"Peter Mortensen;Hao Gao;Godfrey Smith;Radostin D Simitev","doi":"10.1093/imammb/dqab005","DOIUrl":null,"url":null,"abstract":"The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106–131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions and are in good agreement with numerical estimates.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 3","pages":"292-298"},"PeriodicalIF":0.0000,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016811/9579095/09579097.pdf","citationCount":"1","resultStr":"{\"title\":\"Addendum: Action potential propagation and block in a model of atrial tissue with myocyte–fibroblast coupling\",\"authors\":\"Peter Mortensen;Hao Gao;Godfrey Smith;Radostin D Simitev\",\"doi\":\"10.1093/imammb/dqab005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106–131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions and are in good agreement with numerical estimates.\",\"PeriodicalId\":94130,\"journal\":{\"name\":\"Mathematical medicine and biology : a journal of the IMA\",\"volume\":\"38 3\",\"pages\":\"292-298\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://ieeexplore.ieee.org/iel7/8016811/9579095/09579097.pdf\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical medicine and biology : a journal of the IMA\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/9579097/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical medicine and biology : a journal of the IMA","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/9579097/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
我们早期研究的分析理论(Mortensen et al.， 2021, Math。地中海,杂志。， 38, 106-131)扩展到解决成纤维细胞屏障分布和肌细胞海峡分布的突出案例。特别是，对于这两种非均匀成纤维细胞分布，导出了静息膜电位和繁殖关键参数值的封闭近似，并与数值估计很好地一致。
Addendum: Action potential propagation and block in a model of atrial tissue with myocyte–fibroblast coupling
The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106–131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions and are in good agreement with numerical estimates.
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