呼吸振荡模型中的噪声诱导亚稳态

Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991 Pub Date : 1991-10-31 DOI:10.1109/IEMBS.1991.684955

J. Zbilut, F. Eldridge, C. Webber

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引用次数: 4

摘要

对生物系统混沌动力学的解释已经引起了相当大的关注。在这样的系统中，真正的确定性混沌是否频繁存在是值得怀疑的。尽管如此，非线性动力学为理解噪声现象提供了一个工具。我们在一个呼吸模型中证明了这一点:Bonhoeffer-van der Pol (BVP)方程被修改并用不同程度的加性随机噪声求解。结果显示了真正的混沌动力学。我们用瞬态性和亚稳态来解释这些发现。

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Noise-induced Metastability In A Model Of Respiratory Oscillation

Considerable attention has been devoted to elucidating chaotic dynamics of biologic systems. Whether true deterministic chaos is frequent in such systems is questionable. Nonetheless, nonlinear dynamics provides a tool for understanding noisy phenomena. We demonstrate this in a model of respiration: the Bonhoeffer-van der Pol (BVP) equations have been modified and solved with varying degrees of additive random noise. The results give the appearance of true chaotic dynamics. We explain these findings in terms of transiency and metastability.

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Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991

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