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...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.展开更多
基金National Natural Science Foundation of China,Grant/Award Numbers:12225107,12071195Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology,Grant/Award Number:23ZDKA0005+1 种基金Innovative Groups of Basic Research in Gansu Province,Grant/Award Number:22JR5RA391Lanzhou Talent Work Special Fund。
文摘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.
