Advertisement

Pulse Stimulation of Coupled Chemical Oscillators

  • Miloš Dolnik
  • Miloš Marek
Chapter
  • 106 Downloads
Part of the NATO ASI Series book series (NSSB, volume 244)

Abstract

Stimulated single and coupled reaction cells serve as well defined models of behaviour of dynamical regimes of biological cells and tissues. Results of experimental and theoretical studies of responses to single and periodic pulse stimulations of an oscillating open (flow-through) reaction cell were discussed in earlier papers [1, 2]. It was demonstrated that single pulse stimulation can cause both positive and negative phase shift of concentration oscillations. The phase transition curves (PTC), i.e. The dependence of the new (shifted) phase of the oscillation on the phase when the stimulation has been applied, were constructed from experimental data. For strong stimulations PTC s were of the topological type “0” and for weak stimulations of the type “1” [2].

Keywords

Reaction Cell Rotation Number Phase Synchronization Pulse Stimulation Couple Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Dolnik, M., Schreiber, I. & Marek, M. (1984). Experimental observations of periodic and chaotic regimes in a forced chemical oscillator. Phys. Lett. 100A, 316–319.CrossRefGoogle Scholar
  2. [2]
    Dolnik, M., Schreiber, I. & Marek, M. (1986). Dynamic regimes in a periodically forced reaction cell with oscillatory chemical reaction. Physica 21D, 78–92.MathSciNetGoogle Scholar
  3. [3]
    Dolnik, M., Padusakova, E. & Marek, M. (1987). Periodic and aperiodic regimes in coupled reaction cells with pulse forcing. J. Phys. Chem. 91, 4407–4410.CrossRefGoogle Scholar
  4. [4]
    Dolnik, M. & Marek, M. (1988). Extinction of oscillations in forced and coupled reaction cells. J. Phys. Chem. 92, 2452–2455.CrossRefGoogle Scholar
  5. [5]
    Dolnik, M., Finkeova, J., Schreiber, I. & Marek, M. (1989). Dynamics of forced excitable and oscillatory chemical reaction systems. J. Phys. Chem. 93, 2764–2774.CrossRefGoogle Scholar
  6. [6]
    Ruoff, P. & Noyes, R.M. (1986). An amplified Oregonator model simulating alternative excitabilities, transitions in types of oscillations and temporary bistability in a closed system. J. Chem. Phys. 84, 1413–1423.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Miloš Dolnik
    • 1
  • Miloš Marek
    • 1
  1. 1.Department of Chemical EngineeringPrague Institute of Chemical TechnologyPrague 6Czechoslovakia

Personalised recommendations