A CELLULAR AUTOMATON MODEL OF EXCITABLE MEDIA .3. FITTING THE BELOUSOV-ZHABOTINSKII REACTION

被引:45
作者
GERHARDT, M [1 ]
SCHUSTER, H [1 ]
TYSON, JJ [1 ]
机构
[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT BIOL,BLACKSBURG,VA 24061
来源
PHYSICA D | 1990年 / 46卷 / 03期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0167-2789(90)90102-U
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain a set of parameter values for our cellular automaton model that gives a reasonably good description of the Belousov-Zhabotinskii reaction, as determined by comparison with experimental results and with calculations on the "Oregonator" (a differential-equation model of the chemical system).
引用
收藏
页码:416 / 426
页数:11
相关论文
共 45 条
[1]  
BALAKHOVSKII IS, 1965, BIOPHYSICS-USSR, V10, P1175
[2]   KINEMATIC APPROACH TO THE DESCRIPTION OF AUTOWAVE PROCESSES IN ACTIVE MEDIA [J].
BRAZHNIK, PK ;
DAVYDOV, VA ;
MIKHAILOV, AS .
THEORETICAL AND MATHEMATICAL PHYSICS, 1988, 74 (03) :300-306
[3]  
BRAZHNIK PK, 1987, ZH EKSP TEOR FIZ, V66, P984
[4]   DISPERSION OF TRAVELING WAVES IN THE BELOUSOV-ZHABOTINSKII REACTION [J].
DOCKERY, JD ;
KEENER, JP ;
TYSON, JJ .
PHYSICA D, 1988, 30 (1-2) :177-191
[5]   OSCILLATIONS IN CHEMICAL SYSTEMS .5. QUANTITATIVE EXPLANATION OF BAND MIGRATION IN BELOUSOV-ZHABOTINSKII REACTION [J].
FIELD, RJ ;
NOYES, RM .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1974, 96 (07) :2001-2006
[6]   ON THE OXYBROMINE CHEMISTRY RATE CONSTANTS WITH CERIUM IONS IN THE FIELD-KOROS-NOYES MECHANISM OF THE BELOUSOV-ZHABOTINSKII REACTION - THE EQUILIBRIUM HBRO2+BRO3-+H+-REVERSIBLE-2BRO2.+H2O [J].
FIELD, RJ ;
FORSTERLING, HD .
JOURNAL OF PHYSICAL CHEMISTRY, 1986, 90 (21) :5400-5407
[7]  
FIELD RJ, 1974, J CHEM PHYS, V60, P1877, DOI 10.1063/1.1681288
[8]   OSCILLATIONS IN CHEMICAL SYSTEMS .2. THOROUGH ANALYSIS OF TEMPORAL OSCILLATION IN BROMATE-CERIUM-MALONIC ACID SYSTEM [J].
FIELD, RJ ;
NOYES, RM ;
KOROS, E .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1972, 94 (25) :8649-&
[9]   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
[10]   A CELLULAR AUTOMATON MODEL OF EXCITABLE MEDIA .2. CURVATURE, DISPERSION, ROTATING WAVES AND MEANDERING WAVES [J].
GERHARDT, M ;
SCHUSTER, H ;
TYSON, JJ .
PHYSICA D, 1990, 46 (03) :392-415