Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Frequency Domain Analysis of a Stochastic Biological Network Motif with Delay

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  • @INPROCEEDINGS{10.1007/978-3-642-02469-6_50,
        author={Qi Wang and Shiwei Yan and Shengjun Liu and Xian Li},
        title={Frequency Domain Analysis of a Stochastic Biological Network Motif with Delay},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
        proceedings_a={COMPLEX PART 2},
        year={2012},
        month={5},
        keywords={Intrinsic and extrinsic sources negative feedback transcriptional and translational time delay frequency domain analysis},
        doi={10.1007/978-3-642-02469-6_50}
    }
    
  • Qi Wang
    Shiwei Yan
    Shengjun Liu
    Xian Li
    Year: 2012
    Frequency Domain Analysis of a Stochastic Biological Network Motif with Delay
    COMPLEX PART 2
    Springer
    DOI: 10.1007/978-3-642-02469-6_50
Qi Wang1, Shiwei Yan,*, Shengjun Liu1, Xian Li1
  • 1: Beijing Normal University
*Contact email: yansw@bnu.edu.cn

Abstract

In this paper, a set of delay stochastic differential equations, which involves the mechanisms of intrinsic and extrinsic noises, time delays and negative feedback, is proposed to describe the nonlinear dynamics within a general biological network motif. Frequency domain analysis method is exploited to study the interplays among such mechanisms.