{"title":"布尔网络中的表型控制和变量消除","authors":"Elisa Tonello, Loïc Paulevé","doi":"arxiv-2406.02304","DOIUrl":null,"url":null,"abstract":"We investigate how elimination of variables can affect the asymptotic\ndynamics and phenotype control of Boolean networks. In particular, we look at\nthe impact on minimal trap spaces, and identify a structural condition that\nguarantees their preservation. We examine the possible effects of variable\nelimination under three of the most popular approaches to control\n(attractor-based control, value propagation and control of minimal trap\nspaces), and under different update schemes (synchronous, asynchronous,\ngeneralized asynchronous). We provide some insights on the application of\nreduction, and an ample inventory of examples and counterexamples.","PeriodicalId":501216,"journal":{"name":"arXiv - CS - Discrete Mathematics","volume":"74 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phenotype control and elimination of variables in Boolean networks\",\"authors\":\"Elisa Tonello, Loïc Paulevé\",\"doi\":\"arxiv-2406.02304\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate how elimination of variables can affect the asymptotic\\ndynamics and phenotype control of Boolean networks. In particular, we look at\\nthe impact on minimal trap spaces, and identify a structural condition that\\nguarantees their preservation. We examine the possible effects of variable\\nelimination under three of the most popular approaches to control\\n(attractor-based control, value propagation and control of minimal trap\\nspaces), and under different update schemes (synchronous, asynchronous,\\ngeneralized asynchronous). We provide some insights on the application of\\nreduction, and an ample inventory of examples and counterexamples.\",\"PeriodicalId\":501216,\"journal\":{\"name\":\"arXiv - CS - Discrete Mathematics\",\"volume\":\"74 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.02304\",\"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 - CS - Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.02304","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Phenotype control and elimination of variables in Boolean networks
We investigate how elimination of variables can affect the asymptotic
dynamics and phenotype control of Boolean networks. In particular, we look at
the impact on minimal trap spaces, and identify a structural condition that
guarantees their preservation. We examine the possible effects of variable
elimination under three of the most popular approaches to control
(attractor-based control, value propagation and control of minimal trap
spaces), and under different update schemes (synchronous, asynchronous,
generalized asynchronous). We provide some insights on the application of
reduction, and an ample inventory of examples and counterexamples.