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.

引用

页数：11

共 50 条

[31] A theory of pattern formation for reaction-diffusion systems on temporal networks
Van Gorder, Robert A.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 477 (2247):
[32] Bistability, wave pinning and localisation in natural reaction-diffusion systems?
Champneys, Alan R.
Al Saadi, Fahad
Brena-Medina, Victor F.
Grieneisen, Veronica A.
Maree, Athanasius F. M.
Verschueren, Nicolas
Wuyts, Bert
PHYSICA D-NONLINEAR PHENOMENA, 2021, 416
[33] Delay-induced patterns in a reaction-diffusion system on complex networks
Wang, Xinyu
Song, Zhao
Li, Zhaoqing
Chang, Lili
Wang, Zhen
NEW JOURNAL OF PHYSICS, 2021, 23 (07):
[34] Spatiotemporal antiresonance in coupled reaction-diffusion systems
Pal, Krishnendu
Paul, Shibashis
Ray, Deb Shankar
PHYSICAL REVIEW E, 2020, 101 (05)
[35] Analysis of Reaction-Diffusion Systems with Anomalous Subdiffusion
Haugh, Jason M.
BIOPHYSICAL JOURNAL, 2009, 97 (02) : 435 - 442
[36] Entire solutions for some reaction-diffusion systems
Lv, Guangying
Luo, Dang
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (04)
[37] Resilience in reaction-diffusion systems
van Vuuren, JH
IMA JOURNAL OF APPLIED MATHEMATICS, 1999, 63 (02) : 179 - 197
[38] Control of transversal instabilities in reaction-diffusion systems
Totz, Sonja
Loeber, Jakob
Totz, Jan Frederik
Engel, Harald
NEW JOURNAL OF PHYSICS, 2018, 20
[39] Shaping wave patterns in reaction-diffusion systems
Loeber, Jakob
Martens, Steffen
Engel, Harald
PHYSICAL REVIEW E, 2014, 90 (06)
[40] Pattern formation mechanisms in reaction-diffusion systems
Vanag, Vladimir K.
Epstein, Irving R.
INTERNATIONAL JOURNAL OF DEVELOPMENTAL BIOLOGY, 2009, 53 (5-6) : 673 - 681

← 1 2 3 4 5 →