Biochemistry (Moscow)

, Volume 67, Issue 4, pp 473–484

Simplest Kinetic Schemes for Biochemical Oscillators


DOI: 10.1023/A:1015294208979

Cite this article as:
Ermakov, G.L. & Goldstein, B.N. Biochemistry (Moscow) (2002) 67: 473. doi:10.1023/A:1015294208979


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.

graphcritical fragmentmathematical modeling

Copyright information

© MAIK “Nauka/Interperiodica” 2002

Authors and Affiliations

  1. 1.Institute of Theoretical and Experimental BiophysicsRussian Academy of SciencesPushchino, Moscow RegionRussia