Effect of wedge duration and electromagnetic noise on spiral wave dynamics

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-11 DOI:10.1016/j.cnsns.2024.108262

Lianghui Qu , Lin Du , Honghui Zhang , Zichen Deng

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引用次数: 0

Abstract

This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.

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楔形持续时间和电磁噪声对螺旋波动力学的影响

本文特别关注楔形持续时间对螺旋波形成的影响以及电磁噪声的调节。应用主稳定函数法揭示了所构建的规则神经元网络系统的运动稳定性或周期性。利用定义的指标量化了楔形持续时间和电磁噪声对螺旋波动力学的影响，并通过神经元活动的分叉和神经元群的分化进行了解释。研究成果如下(1) 由于神经元之间的电位差，出现的波头会旋转并演变成螺旋状，这是由楔形持续时间决定的。(2）无论是同质还是异质的电磁噪声，都能有效调节螺旋波的演化。(3）噪声激励会显著抑制网络的发射活动并改变电场分布，从而导致螺旋臂变窄和波头漂移。这项研究不仅证明了楔形持续时间对螺旋波形成的重要性，而且为随机调节螺旋波的演化提供了指导。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.