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Biophysik

, Volume 7, Issue 2, pp 85–94 | Cite as

On the stability of the kinetics of a certain class of biomolecular reactions

  • A. D. Nazarea
Article

Summary

By means of a formal kinetic model, an analysis of the behavior of a certain type of unbranched sequences of biomolecular reactions is made. The main results are in (i) the characterization of the steady-state, (ii) the specification of a condition under which the largest physically admissible invariant set, containing the steady-state as invariant subset, can be obtained, and (iii) the deduction of parameter restrictions sufficient to assure asymptotic stability in the large in the given invariant set with respect to the steady-state.

Keywords

Assure Kinetic Model Asymptotic Stability Parameter Restriction Invariant Subset 
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.

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References

  1. La Salle, J. P.: Stability theory for ordinary differential equations. J. Diff. Eqns.4, 57 (1968).Google Scholar
  2. Morales, M., McKay, D.: Biochemical oscillations in ‘controlled’ systems. Biophys. J.7, 621 (1967).PubMedGoogle Scholar
  3. Schweet, R., Heintz, R.: Protein synthesis. Ann. Rev. Biochem.35, 723 (1966).PubMedGoogle Scholar
  4. Vogel, H. J., Vogel, R. H.: Regulation of protein synthesis. Ann. Rev. Biochem.36, 519 (1967).Google Scholar
  5. Walter, C.: Oscillations in controlled biochemical systems. Biophys. J.9, 863 (1969).PubMedGoogle Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • A. D. Nazarea
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoUSA

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