{"title":"具有延迟的基因表达模型的周期振荡","authors":"Kejun Zhuang, Hailong Zhu","doi":"10.1109/BMEI.2010.5639793","DOIUrl":null,"url":null,"abstract":"In this paper, a delayed model of gene expression with positive feedback loop is investigated. The model takes the form of delay differential equations. By choosing the time delay as bifurcation parameter, small amplitude periodic solutions are obtained due to Hopf bifurcation. Furthermore, global existence of bifurcating periodic solutions is established with the help of global bifurcation theory.","PeriodicalId":231601,"journal":{"name":"2010 3rd International Conference on Biomedical Engineering and Informatics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Periodic oscillations for a model of gene expression with delay\",\"authors\":\"Kejun Zhuang, Hailong Zhu\",\"doi\":\"10.1109/BMEI.2010.5639793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a delayed model of gene expression with positive feedback loop is investigated. The model takes the form of delay differential equations. By choosing the time delay as bifurcation parameter, small amplitude periodic solutions are obtained due to Hopf bifurcation. Furthermore, global existence of bifurcating periodic solutions is established with the help of global bifurcation theory.\",\"PeriodicalId\":231601,\"journal\":{\"name\":\"2010 3rd International Conference on Biomedical Engineering and Informatics\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 3rd International Conference on Biomedical Engineering and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/BMEI.2010.5639793\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 3rd International Conference on Biomedical Engineering and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BMEI.2010.5639793","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic oscillations for a model of gene expression with delay
In this paper, a delayed model of gene expression with positive feedback loop is investigated. The model takes the form of delay differential equations. By choosing the time delay as bifurcation parameter, small amplitude periodic solutions are obtained due to Hopf bifurcation. Furthermore, global existence of bifurcating periodic solutions is established with the help of global bifurcation theory.
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