RE-ENTRANT ROTATING WAVES IN A BEELER-REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY

被引：142

作者：

Courtemanche, Marc ^{[1
]}

Winfree, Arthur T. ^{[2
]}

机构：

[1] Univ Arizona, Dept Appl Math, Tucson, AZ 85721 USA

[2] Univ Arizona, Dept Ecol & Evolutionary Biol, Tucson, AZ 85721 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 02期

关键词：

D O I：

10.1142/S0218127491000336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Propagation of cardiac electrical activity is simulated in a two-dimensional sheet of cells using the cable equation and the Beeler-Reuter membrane model for ventricular muscle cells. Re-entrant patterns are produced using the original Beeler-Reuter equations and two modified versions involving changes in the calcium and sodium channel dynamics. Both stable rotating waves and irregular activity are observed. The model is shown to exhibit conduction block due to stationary repolarization fronts. The origin and properties of these fronts are described.

引用

页码：431 / 444

页数：14

共 38 条

[1] 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

[2] PROPAGATION OF EXCITATION IN IDEALIZED ANISOTROPIC TWO-DIMENSIONAL TISSUE [J].

BARR, RC ;

PLONSEY, R .

BIOPHYSICAL JOURNAL, 1984, 45 (06) :1191-1202

[3] RECONSTRUCTION OF ACTION POTENTIAL OF VENTRICULAR MYOCARDIAL FIBERS [J].

BEELER, GW ;

REUTER, H .

JOURNAL OF PHYSIOLOGY-LONDON, 1977, 268 (01) :177-210

[4] MECHANISM OF VENTRICULAR VULNERABILITY TO SINGLE PREMATURE STIMULI IN OPEN-CHEST DOGS [J].

CHEN, PS ;

WOLF, PD ;

DIXON, EG ;

DANIELEY, ND ;

FRAZIER, DW ;

SMITH, WM ;

IDEKER, RE .

CIRCULATION RESEARCH, 1988, 62 (06) :1191-1209

[5] A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].

Crank, J ;

Nicolson, P .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226

[6] SUSTAINED VORTEX-LIKE WAVES IN NORMAL ISOLATED VENTRICULAR MUSCLE [J].

DAVIDENKO, JM ;

KENT, PF ;

CHIALVO, DR ;

MICHAELS, DC ;

JALIFE, J .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1990, 87 (22) :8785-8789

[7] SPIRAL WAVES IN NORMAL ISOLATED VENTRICULAR MUSCLE [J].

DAVIDENKO, JM ;

KENT, P ;

JALIFE, J .

PHYSICA D-NONLINEAR PHENOMENA, 1991, 49 (1-2) :182-197

[8] A MODEL OF CARDIAC ELECTRICAL-ACTIVITY INCORPORATING IONIC PUMPS AND CONCENTRATION CHANGES [J].

DIFRANCESCO, D ;

NOBLE, D .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 1985, 307 (1133) :353-398

[9] INFLUENCES OF ANISOTROPIC TISSUE STRUCTURE ON REENTRANT CIRCUITS IN THE EPICARDIAL BORDER ZONE OF SUBACUTE CANINE INFARCTS [J].

DILLON, SM ;

ALLESSIE, MA ;

URSELL, PC ;

WIT, AL .

CIRCULATION RESEARCH, 1988, 63 (01) :182-206

[10] ENDOCARDIAL MAPPING OF VENTRICULAR-TACHYCARDIA IN THE INTACT HUMAN VENTRICLE - EVIDENCE FOR REENTRANT MECHANISMS [J].

DOWNAR, E ;

HARRIS, L ;

MICKLEBOROUGH, LL ;

SHAIKH, N ;

PARSON, ID .

JOURNAL OF THE AMERICAN COLLEGE OF CARDIOLOGY, 1988, 11 (04) :783-791

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