Stability of gene regulatory networks with Lvy noise  

作　　者：Qi LUO Yangyang GONG Chunxue JIA 

机构地区：[1]School of Information and Control, Nanjing University of Information Science and Technology, Jiangsu Engineering Research Center on Meteorological Energy Using and Control, Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing 210044, China

出　　处：《Science China(Information Sciences)》2017年第7期223-235,共13页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 61573193);Joint Key Grant of National Natural Science Foundation of China and Zhejiang Province (Grant No. U1509217)

摘　　要：The stability of gene regulatory networks has attracted substantial research efforts in the field of systematic biology. Actual gene regulatory networks are always subject to noise interference and disruption to the organism either internally or externally. Specifically, the special case of instantaneous mutation may exist in gene regulatory networks at the m RNA or protein level. Compared with other existing models, a L′evy noisedriven gene regulatory network model has been proved to be more realistic, since it is a powerful tool to describe the above special case. On the basis of previous studies, we developed a theoretical proof of the L′evy noisedriven gene regulatory network, and carried out a large number of numerical simulations for validation. Based on adequate analysis of the simulation examples, the sufficient conditions were investigated and are presented herein to obtain the global asymptotic stability of gene regulatory networks with time-varying delays and L′evy noise.The stability of gene regulatory networks has attracted substantial research efforts in the field of systematic biology. Actual gene regulatory networks are always subject to noise interference and disruption to the organism either internally or externally. Specifically, the special case of instantaneous mutation may exist in gene regulatory networks at the m RNA or protein level. Compared with other existing models, a L′evy noisedriven gene regulatory network model has been proved to be more realistic, since it is a powerful tool to describe the above special case. On the basis of previous studies, we developed a theoretical proof of the L′evy noisedriven gene regulatory network, and carried out a large number of numerical simulations for validation. Based on adequate analysis of the simulation examples, the sufficient conditions were investigated and are presented herein to obtain the global asymptotic stability of gene regulatory networks with time-varying delays and L′evy noise.

关 键 词：L′evy noise gene regulatory networks time-varying delays stability analysis instantaneous mutation 

分 类 号：O157.5[理学—数学]