Quasiperiodicity route to chaos in a biochemical system

被引:34
作者
delaFuente, IM
Martinez, L
Veguillas, J
Aguirregabiria, JM
机构
[1] UNIV BASQUE COUNTRY, DEPT CELL BIOL & MORPHOL SCI, SCH MED, E-48940 LEIOA, SPAIN
[2] UNIV BASQUE COUNTRY, DEPT MATH, E-48940 LEIOA, SPAIN
[3] UNIV BASQUE COUNTRY, DEPT CHEM PHYS, E-48940 LEIOA, SPAIN
[4] UNIV BASQUE COUNTRY, DEPT THEORET PHYS, E-48940 LEIOA, SPAIN
关键词
D O I
10.1016/S0006-3495(96)79431-6
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
The numerical study of a glycolytic model formed by a system of three delay differential equations reveals a quasiperiodicity route to chaos. When the delay changes in our biochemical system, we can observe the emergence of a strange attractor that replaces a previous torus. This behavior happens both under a constant input flux and when the frequency of the periodic substrate input flux changes. The results obtained under periodic input flux are in agreement with experimental observations.
引用
收藏
页码:2375 / 2379
页数:5
相关论文
共 17 条
[1]   THE STIMULATION OF YEAST PHOSPHOFRUCTOKINASE BY FRUCTOSE 2,6-BISPHOSPHATE [J].
BARTRONS, R ;
VANSCHAFTINGEN, E ;
VISSERS, S ;
HERS, HG .
FEBS LETTERS, 1982, 143 (01) :137-140
[2]   DYNAMIC BEHAVIOR IN GLYCOLYTIC OSCILLATIONS WITH PHASE-SHIFTS [J].
DELAFUENTE, IM ;
MARTINEZ, L ;
VEGUILLAS, J .
BIOSYSTEMS, 1995, 35 (01) :1-13
[3]  
DELAFUENTE MI, 1996, BIOSYSTEMS, V39, P87
[4]  
DUBOIS M, 1982, J PHYS LETT-PARIS, V43, pL295, DOI 10.1051/jphyslet:01982004309029500
[5]   QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52
[6]  
HESS B, 1984, DYNAMICS BIOCH SYSTE
[7]  
HESS B, 1990, SPATIAL INHOMOGENEIT
[8]  
HUDSON JL, 1989, BER BUNSEN PHYS CHEM, V92, P1383
[9]   OBSERVATION OF ENTRAINMENT, QUASIPERIODICITY AND CHAOS IN GLYCOLYZING YEAST EXTRACTS UNDER PERIODIC GLUCOSE INPUT [J].
MARKUS, M ;
MULLER, SC ;
HESS, B .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1985, 89 (06) :651-654
[10]   CHAOTIC DYNAMICS IN YEAST GLYCOLYSIS UNDER PERIODIC SUBSTRATE INPUT FLUX [J].
MARKUS, M ;
KUSCHMITZ, D ;
HESS, B .
FEBS LETTERS, 1984, 172 (02) :235-238