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Statistics for anti-synchronization of intracellular calcium dynamics

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  • Duan, Wei-Long
  • Zeng, Chunhua

Abstract

The anti-synchronization of calcium oscillation between cytosol and calcium store in intracellular calcium oscillation system with non-Gaussian noises and time delay are studied by means of second-order stochastic Runge–Kutta type algorithm. Basic on statistic, the normalized global synchronization error of Ca2+ concentration in cytosol and calcium store is simulated, the results exhibit, it shifts into single trough from multi troughs structure as parameter p (which is used to control the degree of the departure from the non-Gaussian noise and Gaussian noise) or density of non-Gaussian noises increases, however, it shifts into multi troughs from single trough structure as correlation time of non-Gaussian noises increases. In addition, the short, moderate, and long time delay respectively induce anti-synchronously quasi-periodic, synchronously quasi-periodic, and chaotic oscillation.

Suggested Citation

  • Duan, Wei-Long & Zeng, Chunhua, 2017. "Statistics for anti-synchronization of intracellular calcium dynamics," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 611-616.
    • Handle: RePEc:eee:apmaco:v:293:y:2017:i:c:p:611-616
    DOI: 10.1016/j.amc.2016.07.041
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    References listed on IDEAS

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    1. Taufiq-Ur-Rahman & Alexander Skupin & Martin Falcke & Colin W. Taylor, 2009. "Clustering of InsP3 receptors by InsP3 retunes their regulation by InsP3 and Ca2+," Nature, Nature, vol. 458(7238), pages 655-659, April.
    2. 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.
    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.
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    Cited by:

    1. Dong, Mingru & Li, Haibin & Yin, Rongrong & Qin, Yuhua & Hu, Yongtao, 2021. "Scalable asynchronous localization algorithm with mobility prediction for underwater wireless sensor networks," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. 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).
    3. 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.
    4. 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.
    5. Duan, Wei-Long, 2020. "The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    6. 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.

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