Kinematic equations for front motion and spiral-wave nucleation

被引:5
|
作者
Hagberg, A
Meron, E [1 ]
机构
[1] Ben Gurion Univ Negev, Jacob Blaustein Inst Desert Res, IL-84990 Sede Boqer, Israel
[2] Ben Gurion Univ Negev, Dept Phys, IL-84990 Sede Boqer, Israel
[3] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[4] Univ Calif Los Alamos Natl Lab, Theoret Div T7, Los Alamos, NM 87545 USA
来源
PHYSICA A | 1998年 / 249卷 / 1-4期
关键词
D O I
10.1016/S0378-4371(97)00439-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new set of kinematic equations for front motion in bistable media. The equations extend earlier kinematic approaches by coupling the front curvature with the order parameter associated with a parity-breaking front bifurcation. In addition to naturally describing the core region of rotating spiral waves, the equations can be used to study the nucleation of spiral-wave pairs along uniformly propagating fronts. The analysis of spiral-wave nucleation reduces to the simpler problem of droplet. or domain. nucleation in one space dimension. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:118 / 124
页数:7
相关论文
共 50 条
  • [21] Spiral-wave dynamics depend sensitively on inhomogeneities in mathematical models of ventricular tissue
    Shajahan, T. K.
    Sinha, Sitabhra
    Pandit, Rahul
    PHYSICAL REVIEW E, 2007, 75 (01):
  • [22] Effects of gap junctional coupling on conduction properties and spiral-wave dynamics in rabbit ventricles
    Honjo, Haruo
    Takemoto, Yoshio
    Takanari, Hiroki
    Kato, Sara
    Sakuma, Ichiro
    Kamiya, Kaichiro
    Kodama, Itsuo
    JOURNAL OF PHYSIOLOGICAL SCIENCES, 2010, 60 : S169 - S169
  • [23] Spiral-wave dynamics in a mathematical model of human ventricular tissue with myocytes and Purkinje fibers
    Nayak, Alok Ranjan
    Panfilov, A. V.
    Pandit, Rahul
    PHYSICAL REVIEW E, 2017, 95 (02)
  • [24] Velocity field in the spiral-wave pattern observed in rotating shallow-water experiments
    Rylov, AY
    Snezhkin, EN
    Titishov, KB
    ASTRONOMY REPORTS, 2004, 48 (04) : 275 - 287
  • [25] Regional cooling facilitates termination of spiral-wave reentry through unpinning of rotors in rabbit hearts
    Yamazaki, Masatoshi
    Honjo, Haruo
    Ashihara, Takashi
    Harada, Masahide
    Sakuma, Ichiro
    Nakazawa, Kazuo
    Trayanova, Natalia
    Horie, Minoru
    Kalifa, Jerome
    Jalife, Jose
    Kamiya, Kaichiro
    Kodama, Itsuo
    HEART RHYTHM, 2012, 9 (01) : 107 - 114
  • [26] Velocity field in the spiral-wave pattern observed in rotating shallow-water experiments
    A. Yu. Rylov
    E. N. Snezhkin
    K. B. Titishov
    Astronomy Reports, 2004, 48 : 275 - 287
  • [27] Kinematic Wave Equations for Movable Riverbeds
    A. N. Krutov
    S. Ya. Shkol’nikov
    Russian Meteorology and Hydrology, 2021, 46 : 379 - 387
  • [28] CONVOLUTION AND THE KINEMATIC WAVE-EQUATIONS
    HJELMFELT, AT
    JOURNAL OF HYDROLOGY, 1984, 75 (1-4) : 301 - 309
  • [29] Kinematic Wave Equations for Movable Riverbeds
    Krutov, A. N.
    Shkol'nikov, S. Ya
    RUSSIAN METEOROLOGY AND HYDROLOGY, 2021, 46 (06) : 379 - 387
  • [30] Spiral-Wave Turbulence and Its Control in the Presence of Inhomogeneities in Four Mathematical Models of Cardiac Tissue
    Shajahan, T. K.
    Nayak, Alok Ranjan
    Pandit, Rahul
    PLOS ONE, 2009, 4 (03):