Influence of nonexcitable cells on spiral breakup in two-dimensional and three-dimensional excitable media

被引:64
作者
ten Tusscher, KHWJ
Panfilov, AV
机构
[1] Univ Utrecht, Dept Theoret Biol, NL-3584 CH Utrecht, Netherlands
[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland
来源
PHYSICAL REVIEW E | 2003年 / 68卷 / 06期
关键词
D O I
10.1103/PhysRevE.68.062902
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
We study spiral wave dynamics in the presence of nonexcitable cells in two-dimensional (2D) and three-dimensional (3D) excitable media, described by the Aliev-Panfilov model. We find that increasing the percentage of randomly distributed nonexcitable cells can prevent the breaking up of a spiral wave into a complex spatiotemporal pattern. We show that this effect is more pronounced in 2D than 3D excitable media. We explain the observed 2D vs 3D differences by a different dependence of the period and diastolic interval of the spiral wave on the percentage of nonexcitable cells in 2D and 3D excitable media.
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页数:4
相关论文
共 26 条
[1]   ROTATING SPIRAL WAVES CREATED BY GEOMETRY [J].
AGLADZE, K ;
KEENER, JP ;
MULLER, SC ;
PANFILOV, A .
SCIENCE, 1994, 264 (5166) :1746-1748
[2]   A simple two-variable model of cardiac excitation [J].
Aliev, RR ;
Panfilov, AV .
CHAOS SOLITONS & FRACTALS, 1996, 7 (03) :293-301
[3]   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
[4]   Effect of action potential duration and conduction velocity restitution and their spatial dispersion on alternans and the stability of arrhythmias [J].
Banville, I ;
Gray, RA .
JOURNAL OF CARDIOVASCULAR ELECTROPHYSIOLOGY, 2002, 13 (11) :1141-1149
[5]   Spiral wave generation in heterogeneous excitable media [J].
Bub, G ;
Shrier, A ;
Glass, L .
PHYSICAL REVIEW LETTERS, 2002, 88 (05) :4
[6]   Propagation through heterogeneous substrates in simple excitable media models [J].
Bub, G ;
Shrier, A .
CHAOS, 2002, 12 (03) :747-753
[7]   INSTABILITIES OF A PROPAGATING PULSE IN A RING OF EXCITABLE MEDIA [J].
COURTEMANCHE, M ;
GLASS, L ;
KEENER, JP .
PHYSICAL REVIEW LETTERS, 1993, 70 (14) :2182-2185
[8]   RE-ENTRANT ROTATING WAVES IN A BEELER-REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY [J].
Courtemanche, Marc ;
Winfree, Arthur T. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (02) :431-444
[9]   Preventing ventricular fibrillation by flattening cardiac restitution [J].
Garfinkel, A ;
Kim, YH ;
Voroshilovsky, O ;
Qu, ZL ;
Kil, JR ;
Lee, MH ;
Karagueuzian, HS ;
Weiss, JN ;
Chen, PS .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (11) :6061-6066
[10]  
Guevara M. R., 1984, Computers in Cardiology (Cat. No. 84CH2078-4), P167