Complex spiral wave dynamics in a spatially distributed ionic model of cardiac electrical activity

被引:127
作者
Courtemanche, M
机构
[1] UNIV ARIZONA,PROGRAM APPL MATH,TUCSON,AZ
[2] MCGILL UNIV,CTR NONLINEAR DYNAM PHYSIOL & MED,MONTREAL,PQ,CANADA
关键词
D O I
10.1063/1.166206
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study presents computations and analysis of the dynamics of reentrant spiral waves in a realistic model of cardiac electrical activity, incorporating the Beeler-Reuter equations into a two-dimensional cable model. In this medium, spiral waves spontaneously break up, but may be stabilized by shortening the excitation pulse duration through an acceleration of the dynamics of the calcium current. We describe the breakup of reentrant waves based on the presence of slow recovery fronts within the medium. This concept is introduced using examples from pulse circulation around a ring and extended to two-dimensional propagation. We define properties of the restitution and dispersion relations that are associated with slow recovery fronts and promote spiral breakup. The role of slow recovery fronts is illustrated with concrete examples from numerical simulations. (C) 1996 American Institute of Physics.
引用
收藏
页码:579 / 600
页数:22
相关论文
共 41 条
  • [1] BAR M, 1993, PHYS REV E, V48, pR1635
  • [2] RECONSTRUCTION OF ACTION POTENTIAL OF VENTRICULAR MYOCARDIAL FIBERS
    BEELER, GW
    REUTER, H
    [J]. JOURNAL OF PHYSIOLOGY-LONDON, 1977, 268 (01): : 177 - 210
  • [3] STUDY OF THE FACTORS RESPONSIBLE FOR RATE-DEPENDENT SHORTENING OF THE ACTION POTENTIAL IN MAMMALIAN VENTRICULAR MUSCLE
    BOYETT, MR
    JEWELL, BR
    [J]. JOURNAL OF PHYSIOLOGY-LONDON, 1978, 285 (DEC): : 359 - 380
  • [4] MECHANISM OF VENTRICULAR VULNERABILITY TO SINGLE PREMATURE STIMULI IN OPEN-CHEST DOGS
    CHEN, PS
    WOLF, PD
    DIXON, EG
    DANIELEY, ND
    FRAZIER, DW
    SMITH, WM
    IDEKER, RE
    [J]. CIRCULATION RESEARCH, 1988, 62 (06) : 1191 - 1209
  • [5] A delay equation representation of pulse circulation on a ring in excitable media
    Courtemanche, M
    Keener, JP
    Glass, L
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (01) : 119 - 142
  • [6] INSTABILITIES OF A PROPAGATING PULSE IN A RING OF EXCITABLE MEDIA
    COURTEMANCHE, M
    GLASS, L
    KEENER, JP
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (14) : 2182 - 2185
  • [7] RE-ENTRANT ROTATING WAVES IN A BEELER-REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY
    Courtemanche, Marc
    Winfree, Arthur T.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (02): : 431 - 444
  • [8] SPIRAL WAVES IN NORMAL ISOLATED VENTRICULAR MUSCLE
    DAVIDENKO, JM
    KENT, P
    JALIFE, J
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1991, 49 (1-2) : 182 - 197
  • [9] STATIONARY AND DRIFTING SPIRAL WAVES OF EXCITATION IN ISOLATED CARDIAC-MUSCLE
    DAVIDENKO, JM
    PERTSOV, AV
    SALOMONSZ, R
    BAXTER, W
    JALIFE, J
    [J]. NATURE, 1992, 355 (6358) : 349 - 351
  • [10] DAVIDENKO JM, 1990, ANN NY ACAD SCI, V591, P8785