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Signal power amplification of intracellular calcium dynamics with non-Gaussian noises and time delay

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  • Duan, Wei-Long
  • Zeng, Chunhua

Abstract

The effect of non-Gaussian noises on stochastic resonance of intracellular Ca2+ concentration in intracellular calcium oscillation(ICO) system with time delay is investigated by means of second-order stochastic Runge–Kutta type algorithm. By simulating the signal power amplification(SPA), the results indicate: there are respectively continuous values and a value of the parameter p(which is used to control the degree of the departure from the non-Gaussian noise and Gaussian noise.) to enhance reverse resonance in the behavior of SPA vs. p in cytosol and calcium store, namely continuous reverse resonance occurs in cytosol and reverse resonance occurs in calcium store. Moreover, SPA monotonically decreases as non-Gaussian noises strengthen, and SPA fast decays to constant as correlation time of non-Gaussian noises increases.

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  • Duan, Wei-Long & Zeng, Chunhua, 2017. "Signal power amplification of intracellular calcium dynamics with non-Gaussian noises and time delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 400-405.
    • Handle: RePEc:eee:apmaco:v:292:y:2017:i:c:p:400-405
    DOI: 10.1016/j.amc.2016.08.001
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    References listed on IDEAS

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    1. Wang, Xiao & Duan, Jinqiao & Li, Xiaofan & Luan, Yuanchao, 2015. "Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 282-295.
    2. Wang, Xiaoxu & Liang, Yan & Pan, Quan & Zhao, Chunhui & Yang, Feng, 2014. "Design and implementation of Gaussian filter for nonlinear system with randomly delayed measurements and correlated noises," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1011-1024.
    3. Lin, Ling & Duan, Wei-Long, 2015. "The phenomena of an intracellular calcium oscillation system with non-Gaussian noises," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 132-137.
    4. Lin, Ling & Duan, Wei-Long, 2015. "Extrinsic periodic information interpolates between monostable and bistable states in intracellular calcium dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 155-161.
    5. Duan, Wei-Long & Long, Fei & Li, Chun, 2014. "Reverse resonance and stochastic resonance in intracellular calcium oscillations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 52-57.
    6. Wu, Dan & Luo, Xiaoqin & Zhu, Shiqun, 2007. "Stochastic system with coupling between non-Gaussian and Gaussian noise terms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 203-214.
    7. Duan, Wei-Long, 2014. "Time delay induces oscillatory coherence in intracellular calcium oscillation system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 10-16.
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    Cited by:

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    2. Dong, Yang & Wen, Shu-hui & Hu, Xiao-bing & Li, Jiang-Cheng, 2020. "Stochastic resonance of drawdown risk in energy market prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Guan, Lin & Fang, Yuwen & Li, Kongzhai & Zeng, Chunhua & Yang, Fengzao, 2018. "Transport properties of active Brownian particles in a modified energy-depot model driven by correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 716-728.
    5. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.
    6. Shengli Guo & Jun Tang & Jun Ma & Chunni Wang, 2017. "Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte," Complexity, Hindawi, vol. 2017, pages 1-13, June.

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