Skip to main content
SpringerLink
Log in

Simplest Kinetic Schemes for Biochemical Oscillators

  • Published:
Biochemistry (Moscow) Aims and scope Submit manuscript

Abstract

The topological structure of the simplest critical fragments in biochemical systems has been characterized. The conditions are considered where the critical fragments induce oscillations of the concentrations of the system participants. To illustrate, three biochemical systems (transport of ions through a membrane, protein phosphorylation, and two-substrate reaction) are discussed. The kinetic schemes of these systems contain one of the discovered critical fragments. Relaxation oscillations of the concentrations of the system participants were demonstrated using the numerical integration method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Goldstein, B. N., and Volkenstein, M. V. (1968) Doklady AN SSSR, 178, 386-388.

    Google Scholar 

  2. Clarke, B. L. (1980) Adv. Chem. Phys., 43, 1-215.

    Google Scholar 

  3. Ivanova, A. N. (1979) Kinetika i Kataliz, 20, 1019-1028.

    Google Scholar 

  4. Goldstein, B. N., and Ivanova, A. N. (1987) FEBS Lett., 217, 212-215.

    Google Scholar 

  5. Ivanova, A. N. (1984) Critical Phenomena in Complex Chemical Systems: Doctoral dissertation [in Russian], Chernogolovka.

  6. Goldstein, B. N. (1989) Kinetic Graphs in Enzymology [in Russian], Nauka, Moscow.

    Google Scholar 

  7. Goldstein, B. N., Kholmukhamedov, E. L., Ivanova, A. N., and Furman, G. A. (1987) Mol. Biol. (Moscow), 21, 132-139.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Pushchino, Moscow Region, 142290, Russia

    G. L. Ermakov & B. N. Goldstein

Authors
  1. G. L. Ermakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. N. Goldstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. L. Ermakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ermakov, G.L., Goldstein, B.N. Simplest Kinetic Schemes for Biochemical Oscillators. Biochemistry (Moscow) 67, 473–484 (2002). https://doi.org/10.1023/A:1015294208979

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015294208979

Search

Navigation