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
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
收藏
页码:233 / 242
页数:10
相关论文
共 26 条
  • [1] CHAOTIC HIERARCHY IN A MODEL OF COMPETING POPULATIONS
    BAIER, G
    THOMSEN, JS
    MOSEKILDE, E
    [J]. 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
    BRONNIKOVA, TV
    FEDKINA, VR
    SCHAFFER, WM
    OLSEN, LF
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1995, 99 (23) : 9309 - 9312
  • [4] CAMACHO P, 1995, CALCIUM WAVES GRADIE, P66
  • [5] DEFECT-MEDIATED TURBULENCE
    COULLET, P
    GIL, L
    LEGA, J
    [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
    DEWIT, A
    DEWEL, G
    BORCKMANS, P
    [J]. PHYSICAL REVIEW E, 1993, 48 (06) : R4191 - R4194
  • [8] PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN AN ENZYME REACTION
    GEEST, T
    STEINMETZ, CG
    LARTER, R
    OLSEN, LF
    [J]. 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
    GRIFFITH, JS
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1968, 20 (02) : 202 - &