Stability of a gene transcriptional regulatory system under non-Gaussian noise

Gene transcription regulation plays a very important role in biological processes, which represents a benefit for the recognition of the nature of life. The escape problem of a gene transcriptional regulatory system has been investigated in several papers. However, little research has been performed on the metastability of the system. Based on the stochastic basin of attraction (SBA), this paper is devoted to the analysis of the stability of the metastable low and high concentration states under non-Gaussian noise. Results reveal that unlike Gaussian white noise, the noise intensity and stability index of non-Gaussian noise cause the two concentration states to be unstable, yet exerting a greater influence on higher concentration states. In addition, the dissipation coefficient of non-Gaussian noise can result in the promotion of the transcription process in gene expression.