Nonchaos-Mediated Mixed-Mode Oscillations in an Enzyme Reaction System.
We report numerical evidence of a new type of wide-ranging organization of mixed-mode oscillations (MMOs) in a model of the peroxidase-oxidase reaction, in the control parameter plane defined by the supply of the reactant NADH and the pH of the medium. In classic MMOs, the intervals of distinct periodic oscillations are always separated from each other by windows of chaos. In contrast, in the new unfolding, such windows of chaos do not exist. Chaos-mediated and nonchaos-mediated MMO phases are separated by a continuous transition boundary in the control parameter plane. In addition, for low pH values, we find an exceptionally wide and intricate mosaic of MMO phases that is described by a detailed phase diagram.
†Abteilung Biophysik, Institut für Experimentelle Physik, Otto von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany.
Marcus J B
MJ
Hauser
‡Departamento de Fı́sica, Universidade Federal da Paraı́ba, 58039-970 João Pessoa, Brazil.|∥Instituto de Altos Estudos da Paraı́ba, Rua Infante Dom Henrique 100-1801, 58051-150 João Pessoa, Brazil.|¶Institute for Multiscale Simulation, Friedrich-Alexander Universität Erlangen-Nürnberg, 91052 Erlangen, Germany.|§Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Jason A C
JA
Gallas
biochemical oscillations; mixed-mode oscillations; peroxidase−oxidase reaction; phase diagram