Stochastic Synchronization of Genetic Oscillator Networks

• DOI: 10.48550/arxiv.q-bio/0702025
• Publication Date: 2007-01-01
• Authors: Chunguang Li; Luonan Chen; Kazuyuki Aihara
• Keywords: Synchronization networks; Genetic network

The study of synchronization among genetic oscillators is essential for the understanding rhythmic phenomena living organisms at both molecular and cellular levels. Genetic networks are intrinsically noisy due to natural random intra- inter-cellular fluctuations. Therefore, it important effects noise perturbation on synchronous dynamics oscillators. From synthetic biology viewpoint, also implement biological systems that minimizing negative influence perturbations. In this paper, based approach, we provide a general theoretical result with stochastic By exploiting specific properties many oscillator models, an easy-verified sufficient condition coupled oscillators, Lur'e system approach in control theory. A design principle presented. To demonstrate effectiveness our results, population repressillators adopted as numerical example. summary, present efficient method analyzing networks, which helpful testing organisms. Besides, results actually applicable networks.