Feedback loops for Shil'nikov chaos: The peroxidase-oxidase reaction.
Special structures in a chemical reaction network can give rise to bistability, oscillations, and chaos. It has been shown recently [A. Sensse and M. Eiswirth, J. Chem. Phys. 122, 044516 (2005)] that the introduction of an additional species in a supplementary feedback loop to a minimal autocatalytic oscillator gives rise to chaotic dynamics in a certain range of parameters, independent of the particular realization of the additional loop. This provides a possibility to decide if chaos may occur just by analyzing the network structure of an existing model. Here, we apply this concept to analyze the complex dynamics in several essential subsystems of the peroxidase-oxidase reaction system. The aim of the present paper is to determine the nature of the occurring chaos and its location in the parameter space by numerical bifurcation analysis and simulations.
Sensse
Anke
A
Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14 195 Berlin, Germany.
Hauser
Marcus J B
MJ
Eiswirth
Markus
M
D000465:Algorithms; D003198:Computer Simulation; D004795:Enzyme Stability; D005246:Feedback; D007700:Kinetics; D008956:Models, Chemical; D008958:Models, Molecular; D009097:Multienzyme Complexes / Q000737:chemistry*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D010088:Oxidoreductases / Q000737:chemistry*; D009195:Peroxidase / Q000737:chemistry*
D009097:Multienzyme Complexes; D010088:Oxidoreductases; D009195:Peroxidase