HYSTERESIS, OSCILLATIONS, AND PATTERN FORMATION IN REALISTIC IMMOBILIZED ENZYME-SYSTEMS

被引:58
作者
KERNEVEZ, JP [1 ]
JOLY, G [1 ]
DUBAN, MC [1 ]
BUNOW, B [1 ]
THOMAS, D [1 ]
机构
[1] UNIV TECHNOL COMPIEGNE, F-60206 COMPIEGNE, FRANCE
关键词
Diffusion-reaction; Hysteresis; oscillations; Immobilized enzyme systems; Pattern formation;
D O I
10.1007/BF00276413
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Hysteresis, oscillations, and pattern formation in realistic biochemical systems governed by P.D.E.s are considered from both numerical and mathematical points of view. Analysis of multiple steady states in the case of hysteresis, and bifurcation theory in the cases of oscillations and pattern formation, account for the observed numerical results. The possibility to realize these systems experimentally is their main interest, thus bringing further arguments in favor of theories explaining basic biological phenomena by diffusion and reaction. © 1979 Springer-Verlag.
引用
收藏
页码:41 / 56
页数:16
相关论文
共 24 条
[1]   INFLUENCE OF INHIBITORS AND TEMPERATURE ON OSCILLATION OF REDUCED PYRIDINE NUCLEOTIDES IN YEAST CELLS [J].
BETZ, A ;
CHANCE, B .
ARCHIVES OF BIOCHEMISTRY AND BIOPHYSICS, 1965, 109 (03) :579-&
[2]   BIFURCATION OF LOCALIZED DISTURBANCES IN A MODEL BIOCHEMICAL REACTION [J].
BOA, JA ;
COHEN, DS .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 30 (01) :123-135
[3]  
BOA JA, 1974, THESIS CALIFORNIA I
[4]  
CHANGEUX JP, 1968, REGULATORY FUNCTION, V11
[5]  
GMITRO JI, 1966, INTRACELLULAR TRANSP
[6]   DISSIPATIVE STRUCTURES FOR AN ALLOSTERIC MODEL - APPLICATION TO GLYCOLYTIC OSCILLATIONS [J].
GOLDBETER, A ;
LEFEVER, R .
BIOPHYSICAL JOURNAL, 1972, 12 (10) :1302-+
[7]  
HESS B, 1962, FUNKIONELLE MORPHOLO
[9]  
IOOSS G, 1973, BIFURCATION STABILIT
[10]  
Katchalsky A, 1968, Q Rev Biophys, V1, P127