Multiplicative Lévy noise-induced transitions in gene expression  

作　　者：SONG Yi XU Wei NIU LiZhi 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710129,China

出　　处：《Science China(Technological Sciences)》2022年第8期1700-1709,共10页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 12072261 and 11872305);the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (Grant No. CX2022069)。

摘　　要：Gene expression is intrinsically noisy. Experimental studies have shown that random fluctuations are large bursts and heavytailed distributions. Therefore, this study aims to consider transition dynamics in a gene transcriptional regulatory system via the mean first exit time(MFET) and first escape probability(FEP), when the degradation rate is under multiplicative non-Gaussian Lévy fluctuations in the sense of It? and Marcus forms. We find that, in the Marcus form case, the FEP corresponding to different stability index and noise intensity has an intersection point, whereas in the It? form case, the turning point only occurs at stability index. Increasing the initial CI concentration is helpful for improving the likelihood of transcription in both cases. Our results also imply that larger jumps of Lévy noise and smaller noise intensity can shorten the time of state transition to boost protein production.

关 键 词：gene expression transition dynamics multiplicative Lévy noise It?and Marcus integral 

分 类 号：Q75[生物学—分子生物学]