Frequency conversion mechanism in enzymatic feedback systems

Masahiro Okamoto, Katsuya Hayashi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


The frequency conversion mechanism in enzymatic feedback systems which can keep the system's natural frequency against oscillating perturbations has been investigated with computer simulations. The results indicate that the feedback system, including time-delay element, has the property that the resulting period of the sustained oscillation is an integral multiple of the system's natural period related to frequency entrainment by relaxation oscillators, and the interaction of this system and oscillating inputs could be represented by the theoretical equation proposed for the synchronization of two interacting oscillating systems.

Original languageEnglish
Pages (from-to)529-537
Number of pages9
JournalJournal of Theoretical Biology
Issue number4
Publication statusPublished - Jun 21 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


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