Dynamic Distribution for Inactive Genes in Telephone Model

ZHUChunjuan; GUOYing; LIANGYiqi; JIAOFeng

doi:10.48014/fcpm.20221110001

Dynamic Distribution for Inactive Genes in Telephone Model

中国统计科学学报 2023年第1卷第1期页码[1-8] 下载全文[0.6MB] [HTML]

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.

DOI	10.48014/fcpm.20221110001
文章类型	研究性论文
收稿日期	2022-11-11
接收日期	2023-03-15
出版日期	2023-06-28
Keywords	Telegraph model, generating function, inactive gene, distribution
作者	ZHUChunjuan^1,2, GUOYing², LIANGYiqi², JIAOFeng^2,*
Company	1. Basic Department, Guangdong Construction Polytechnic, Guangzhou, 510440, China 2. Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China
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Citation	ZHU Chunjuan, GUO Ying, LIANG Yiqi, et al. Dynamic distribution for inactive genes in telephone model[J]. Journal of Chinese Statistical Sciences, 2023, 1(1): 1-8.