{"title":"Dynamic Distribution for Inactive Genes in Telephone Model","authors":"Chunjuan Zhu, Guo Ying, Liang Yiqi, Jiao Feng","doi":"10.48014/fcpm.20221110001","DOIUrl":"https://doi.org/10.48014/fcpm.20221110001","url":null,"abstract":"Gene transcription is the central part of life process and has been a hot topic in life science research for many years. In this work, we discuss the dynamics of inactive genes in two conditions for telegraph model. We obtain the decaying dynamical distribution for the inactive genes. Furthermore, we find that the dynamical distribution is almost horizontal in the beginning region, if the synthesis rate is appropriately large. And we give some simulations to instruct the results. Keywords: Telegraph model; generating function; inactive gene; distribution.","PeriodicalId":444440,"journal":{"name":"Journal of Chinese Statistical Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131073558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}