Skip to main content

Stability properties and periodic behavior of controlled biochemical systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 322)

Keywords

  • Global Asymptotic Stability
  • Canonical Equation
  • Fourth Quadrant
  • Sustained Oscillation
  • Negative Feedback System

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Botts, J., (1958). Trans. Faraday Soc. 54, 593.

    CrossRef  Google Scholar 

  • Briggs, G. E., and Haldane, J. B. S. (1925). Biochem. J. 19, 383.

    Google Scholar 

  • Letov, A. M., (1961). "Stability in Nonlinear Control Systems". Princeton Univ. Press, Princeton, N. J.

    CrossRef  MATH  Google Scholar 

  • Lur'e, A. L., (1951). "Certain Nonlinear Problems in the Theory of Automatic Control". Gostekhizdat, Moscow.

    MATH  Google Scholar 

  • Morales, M., and McKay, D. (1967). Biophys. J. 7, 621.

    CrossRef  Google Scholar 

  • Walter, C., (1969). Biophys. J. 9, 863.

    CrossRef  Google Scholar 

  • Walter, C., (1970). J. Theor. Biol. 27, 259.

    CrossRef  Google Scholar 

  • Walter, C., (1972). "Kinetic and Thermodynamic Aspects of Biological and Biochemical Control Mechanisms" in "Biochemical Regulatory Mechanisms in Eukaryotic Cells" (E. Kun and S. Grisolia, editors), John Wiley and Sons, Inc., New York, Ch. 11.

    Google Scholar 

  • Yates, R. A., and Pardee, A. B. (1956). J. Biol. Chem. 221, 757.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1973 Springer Verlag

About this paper

Cite this paper

Walter, C. (1973). Stability properties and periodic behavior of controlled biochemical systems. In: Stakgold, I., Joseph, D.D., Sattinger, D.H. (eds) Nonlinear Problems in the Physical Sciences and Biology. Lecture Notes in Mathematics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060575

Download citation

  • DOI: https://doi.org/10.1007/BFb0060575

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06251-6

  • Online ISBN: 978-3-540-38558-5

  • eBook Packages: Springer Book Archive