An analytical velocity field of spiral tips in reaction-diffusion systems

被引：2
作者：
Pan, De-Bei [1 ]
Li, Bing-Wei [2 ]
Pan, Jun-Ting [3 ]
Li, Qi-Hao [4 ,5 ]
Zhang, Hong [4 ,5 ]
机构：
[1] Guangxi Med Univ, Dept Phys, Nanning 530021, Peoples R China
[2] Hangzhou Normal Univ, Dept Phys, Hangzhou 311121, Peoples R China
[3] Zhejiang Univ, Ocean Coll, Zhoushan 316021, Peoples R China
[4] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
[5] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China
来源：
NEW JOURNAL OF PHYSICS | 2020年 / 22卷 / 10期
基金：
中国国家自然科学基金;
关键词：
spiral waves; pattern formation; reaction-diffusion system; TOPOLOGICAL DEFECTS; WAVES; BREAKUP; TRANSITION; DYNAMICS; MODEL; ORGANIZATION; TURBULENCE; FILAMENTS;
D O I：
10.1088/1367-2630/abb914
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Spiral waves are ubiquitous in diverse physical, chemical, and biological systems. The tip (phase singularity) of a spiral wave is considered to represent its organizing center. Here, we derive an analytical velocity field of spiral tips based on the variables of a general two-variable reaction-diffusion (RD) equation. From this velocity field, we can predict the velocities of spiral tips at timetas long as the values of the variables are given at that time. Numerical simulations with two-variable RD models are in quantitative agreement with the analytical results. Furthermore, we also demonstrate the velocity field of spiral tips in the Luo-Rudy model for cardiac excitation.
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页数：11
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