INFLUENCE OF THE CRITICAL CURVATURE ON SPIRAL INITIATION IN AN EXCITABLE MEDIUM

被引:19
作者
GOMEZGESTEIRA, M
DELCASTILLO, JL
VAZQUEZIGLESIAS, ME
PEREZMUNUZURI, V
PEREZVILLAR, V
机构
[1] Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela
关键词
D O I
10.1103/PhysRevE.50.4646
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Spiral waves are created in a Belousov-Zhabotinsky medium due to the presence of some inert obstacle placed into that medium. The eikonal equation, which is completely valid when the excitability of the system remains constant, is shown to be insufficient when media with different excitabilities are used, as predicted by Zykovs kinematical theory [Biophys. 25, 906 (1980)], where two parameters, excitability and curvature, are varied. © 1994 The American Physical Society.
引用
收藏
页码:4646 / 4649
页数:4
相关论文
共 30 条
[1]   ROTATING SPIRAL WAVES CREATED BY GEOMETRY [J].
AGLADZE, K ;
KEENER, JP ;
MULLER, SC ;
PANFILOV, A .
SCIENCE, 1994, 264 (5166) :1746-1748
[2]   CIRCUS MOVEMENT IN RABBIT ATRIAL MUSCLE AS A MECHANISM OF TACHYCARDIA [J].
ALLESSIE, MA ;
BONKE, FIM ;
SCHOPMAN, FJ .
CIRCULATION RESEARCH, 1973, 33 (01) :54-62
[3]  
[Anonymous], 1989, NEW ENGL J MED, V321, P406
[4]   SPIRAL-WAVE DYNAMICS IN A SIMPLE-MODEL OF EXCITABLE MEDIA - THE TRANSITION FROM SIMPLE TO COMPOUND ROTATION [J].
BARKLEY, D ;
KNESS, M ;
TUCKERMAN, LS .
PHYSICAL REVIEW A, 1990, 42 (04) :2489-2492
[5]   COMPOUND ROTATION OF SPIRAL WAVES IN A LIGHT-SENSITIVE BELOUSOV-ZHABOTINSKY MEDIUM [J].
BRAUNE, M ;
ENGEL, H .
CHEMICAL PHYSICS LETTERS, 1993, 204 (3-4) :257-264
[6]   DISPERSION OF TRAVELING WAVES IN THE BELOUSOV-ZHABOTINSKII REACTION [J].
DOCKERY, JD ;
KEENER, JP ;
TYSON, JJ .
PHYSICA D, 1988, 30 (1-2) :177-191
[7]   CRITICAL SIZE AND CURVATURE OF WAVE FORMATION IN AN EXCITABLE CHEMICAL MEDIUM [J].
FOERSTER, P ;
MULLER, SC ;
HESS, B .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1989, 86 (18) :6831-6834
[8]   VULNERABILITY IN EXCITABLE BELOUSOV-ZHABOTINSKY MEDIUM FROM 1D TO 2D [J].
GOMEZGESTEIRA, M ;
FERNANDEZGARCIA, G ;
MUNUZURI, AP ;
PEREZMUNUZURI, V ;
KRINSKY, VI ;
STARMER, CF ;
PEREZVILLAR, V .
PHYSICA D, 1994, 76 (04) :359-368
[9]  
GOMEZGESTEIRA M, IN PRESS INT J BIF C
[10]   SPIRAL WAVES IN REACTION-DIFFUSION EQUATIONS [J].
HAGAN, PS .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (04) :762-786