Homogeneous and spatio-temporal chaos in biochemical reactions with feedback inhibition

被引：12

作者：

Baier, G ^{[1
]}

Sahle, S ^{[1
]}

机构：

[1] Univ Tubingen, Inst Plant Biochem, D-72076 Tubingen, Germany

来源：

JOURNAL OF THEORETICAL BIOLOGY | 1998年 / 193卷 / 02期

关键词：

D O I：

10.1006/jtbi.1998.0695

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A biochemical oscillator involving feedback inhibition can be extended to generate a chaotic attractor. The simple chaotic attractor may be exploited to create signals of higher dimension by passive forcing of other reactions. Diffusively coupled oscillators with negative feedback exhibit regular and irregular patterns in time and space associated with periodic and hyperchaotic attractors, respectively. (C) 1998 Academic Press

引用

页码：233 / 242

页数：10

共 26 条

[1] CHAOTIC HIERARCHY IN A MODEL OF COMPETING POPULATIONS [J].

BAIER, G ;

THOMSEN, JS ;

MOSEKILDE, E .

JOURNAL OF THEORETICAL BIOLOGY, 1993, 165 (04) :593-607

[2]

BAIER G, 1994, Z NATURFORSCH A, V49, P835

[3] PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN A DETAILED MODEL OF THE PEROXIDASE OXIDASE REACTION [J].

BRONNIKOVA, TV ;

FEDKINA, VR ;

SCHAFFER, WM ;

OLSEN, LF .

JOURNAL OF PHYSICAL CHEMISTRY, 1995, 99 (23) :9309-9312

[4]

CAMACHO P, 1995, CALCIUM WAVES GRADIE, P66

[5] DEFECT-MEDIATED TURBULENCE [J].

COULLET, P ;

GIL, L ;

LEGA, J .

PHYSICAL REVIEW LETTERS, 1989, 62 (14) :1619-1622

[6]

DEGN H, 1995, C COMPL DYN CHEM BIO, P21

[7] CHAOTIC TURING-HOPF MIXED-MODE [J].

DEWIT, A ;

DEWEL, G ;

BORCKMANS, P .

PHYSICAL REVIEW E, 1993, 48 (06) :R4191-R4194

[8] PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN AN ENZYME REACTION [J].

GEEST, T ;

STEINMETZ, CG ;

LARTER, R ;

OLSEN, LF .

JOURNAL OF PHYSICAL CHEMISTRY, 1992, 96 (14) :5678-5680

[9]

GOODWIN B.C., 1963, TEMPORAL ORG CELLS

[10] MATHEMATICS OF CELLULAR CONTROL PROCESSES .I. NEGATIVE FEEDBACK TO 1 GENE [J].

GRIFFITH, JS .

JOURNAL OF THEORETICAL BIOLOGY, 1968, 20 (02) :202-&

← 1 2 3 →