{"title":"论混合基因调控网络","authors":"Adrian Wurm, Honglu Sun","doi":"arxiv-2404.16197","DOIUrl":null,"url":null,"abstract":"In this work, we study a class of hybrid dynamical systems called hybrid gene\nregulatory networks (HGRNs) which was proposed to model gene regulatory\nnetworks. In HGRNs, there exist well-behaved trajectories that reach a fixed\npoint or converge to a limit cycle, as well as chaotic trajectories that behave\nnon-periodic or indeterministic. In our work, we investigate these irregular\nbehaviors of HGRNs and present theoretical results about the decidability of\nthe reachability problem, the probability of indeterministic behavior of HGRNs,\nand chaos especially in 2-dimensional HGRNs.","PeriodicalId":501325,"journal":{"name":"arXiv - QuanBio - Molecular Networks","volume":"54 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Hybrid Gene Regulatory Networks\",\"authors\":\"Adrian Wurm, Honglu Sun\",\"doi\":\"arxiv-2404.16197\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we study a class of hybrid dynamical systems called hybrid gene\\nregulatory networks (HGRNs) which was proposed to model gene regulatory\\nnetworks. In HGRNs, there exist well-behaved trajectories that reach a fixed\\npoint or converge to a limit cycle, as well as chaotic trajectories that behave\\nnon-periodic or indeterministic. In our work, we investigate these irregular\\nbehaviors of HGRNs and present theoretical results about the decidability of\\nthe reachability problem, the probability of indeterministic behavior of HGRNs,\\nand chaos especially in 2-dimensional HGRNs.\",\"PeriodicalId\":501325,\"journal\":{\"name\":\"arXiv - QuanBio - Molecular Networks\",\"volume\":\"54 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuanBio - Molecular Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2404.16197\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuanBio - Molecular Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.16197","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this work, we study a class of hybrid dynamical systems called hybrid gene
regulatory networks (HGRNs) which was proposed to model gene regulatory
networks. In HGRNs, there exist well-behaved trajectories that reach a fixed
point or converge to a limit cycle, as well as chaotic trajectories that behave
non-periodic or indeterministic. In our work, we investigate these irregular
behaviors of HGRNs and present theoretical results about the decidability of
the reachability problem, the probability of indeterministic behavior of HGRNs,
and chaos especially in 2-dimensional HGRNs.