ArticleCognitive neurodynamics2009
Robust stability of stochastic delayed genetic regulatory networks.
Article in Cognitive neurodynamics, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Stochastic S-system modeling of gene regulatory network.Cognitive neurodynamics · 2015Article
- Evaluating influence of microRNA in reconstructing gene regulatory networks.Cognitive neurodynamics · 2014Article
- Functional characteristics of a double negative feedback loop mediated by microRNAs.Cognitive neurodynamics · 2013Article
- Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations.Cognitive neurodynamics · 2010Article
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Authors and funding
4 authors.
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Abstract
Gene regulation is an intrinsically noisy process, which is subject to intracellular and extracellular noise perturbations and environment fluctuations. In this paper, we consider the robust stability analysis problem of genetic regulatory networks with time-varying delays and stochastic perturbation. Different from other papers, the genetic regulate system considers not only stochastic perturbation but also parameter disturbances, it is in close proximity to the real gene regulation process than determinate model. Based on the Lyapunov functional theory, sufficient conditions are given to ensure the stability of the genetic regulatory networks. All the stability conditions are given in terms of LMIs which are easy to be verified. Illustrative examples are presented to show the effectiveness of the obtained results.
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