Modeling telomere shortening process  

作　　者：Panpan Han Yang Zhou Weihua Deng 

机构地区：[1]School of Mathematics and Statistics,Gansu Key Laboratory of Applied Mathematics and Complex Systems,Lanzhou University,Lanzhou,China

出　　处：《Quantitative Biology》2025年第1期77-87,共11页定量生物学(英文版)

基　　金：National Natural Science Foundation of China,Grant/Award Numbers:12225107,12071195;Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology,Grant/Award Number:23ZDKA0005;Innovative Groups of Basic Research in Gansu Province,Grant/Award Number:22JR5RA391;Lanzhou Talent Work Special Fund。

摘　　要：Cell senescence has attracted much attention in the long history of human beings,and telomere shortening(TS)is one of the main concerns in the study of cell senescence.To reveal the microscopic mechanism of TS process,we model it based on molecular stochastic process from the perspective of nonequilibrium statistical physics.We associate the TS process with the continuous time random walk and derive the Fokker–Planck equation to describe the length distribution of the TS.We further modify the model describing the TS process,similar to the anomalous tempered diffusion,and derive the Feynman–Kac equation characterizing the functional distribution of the TS process.Finally,we study the statistics related to the critical telomere length l_(c),including the occupation time and first passage time.These two kinds of statistics help us understand the time scale of cell senescence.

关 键 词：AGING anomalous diffusion CTRW telomere shortening process 

分 类 号：O414.1[理学—理论物理]