Effects of Shear Flows on Nonlinear Waves in Excitable Media

被引：0
|
作者：
V.N. Biktashev
I.V. Biktasheva
A.V. Holden
M.A. Tsyganov
J. Brindley
N.A. Hill
机构：
[1] University of Leeds,School of Biomedical Sciences
[2] University of Leeds,Department of Applied Mathematics
来源：
Journal of Biological Physics | 1999年 / 25卷
关键词：
Frazzle gas; Spiral wave; Wave breakdown; Excitable medium; Autowave; Plankton dynamics; Advection; Shear flow; Reaction-diffusionsystem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wavetrains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, whilst the breaking of repetitive wavetrains happens for arbitrarily small velocity gradients. Since broken waves evolve into new spiral wave sources, this leads to spatio-temporal irregularity.
引用
收藏
页码：101 / 113
页数：12
相关论文
共 50 条
  • [1] Effects of shear flows on nonlinear waves in excitable media
    Biktashev, VN
    Biktasheva, IV
    Holden, AV
    Tsyganov, MA
    Brindley, J
    Hill, NA
    JOURNAL OF BIOLOGICAL PHYSICS, 1999, 25 (2-3) : 101 - 113
  • [2] Controlling nonlinear waves in excitable media
    Puebla, Hector
    Martin, Roland
    Alvarez-Ramirez, Jose
    Aguilar-Lopez, Ricardo
    CHAOS SOLITONS & FRACTALS, 2009, 39 (02) : 971 - 980
  • [3] Nonlinear dynamic waves in electromechanical excitable biological media
    Miftakhov, RN
    Vannier, MW
    ADVANCES IN FLUID MECHANICS IV, 2002, : 725 - 734
  • [4] Waves in excitable media: Effects of wave geometry
    Wellner, M
    Jalife, J
    Pertsov, AM
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (09): : 1939 - 1951
  • [5] WAVES IN EXCITABLE MEDIA
    KEENER, JP
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 39 (03) : 528 - 548
  • [6] BREAKDOWN OF NONLINEAR WAVES IN STRATIFIED SHEAR FLOWS
    MASLOWE, SA
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (11): : 1316 - &
  • [7] WEAKLY NONLINEAR WAVES IN STRATIFIED SHEAR FLOWS
    Geyer, Anna
    Quirchmayr, Ronald
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (07) : 2309 - 2325
  • [8] Nonlinear waves in excitable media: Approaches to cardiac arrhythmias Preface
    Bernus, Olivier
    Holden, Arun V.
    Panfilov, Alexander V.
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (11-12) : V - VIII
  • [9] Plane nonlinear shear waves in relaxing media
    Cormack, John M.
    Hamilton, Mark F.
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2018, 143 (02): : 1035 - 1048
  • [10] Refraction of waves in excitable media
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 58 (3-A):
12345