Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-22T07:59:44.141Z Has data issue: false hasContentIssue false
  • English
  • Français

An analysis of a fractal kinetics curve of Savageau

Published online by Cambridge University Press:  17 February 2009

John Maloney  and
Jack Heidel
John Maloney
Affiliation:
Department of Mathematics, University of Nebraska at Omaha, Omaha, Nebraska 68182, USA; e-mail: [email protected], [email protected].
Jack Heidel
Affiliation:
Department of Mathematics, University of Nebraska at Omaha, Omaha, Nebraska 68182, USA; e-mail: [email protected], [email protected].
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The fractal kinetics curve derived by Savageau is analysed to show that its parameters are not uniquely determined given four appropriately situated data points. Comparison is made with an alternate fractal Michaelis-Menten equation derived by Lopez-Quintela and Casado.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 2 , October 2003 , pp. 261 - 269
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Heidel, J. and Maloney, J., “When can sigmoidal data be fit to a Hill curve?”, J. Austral. Math. Soc. Ser. B 41 (1999) 83–92.Google Scholar
[2]Heidel, J. and Maloney, J., “An analysis of a fractal Michaelis-Menten curve”, J. Austral. Math. Soc. Ser. B 41 (2000) 410–422.Google Scholar
[3]Lopez-Quintela, M. A. and Casado, J., “Revision of the methodology in enzyme kinetics: a fractal approach”, J. Theor. Biol. 139 (1989) 129–139.Google Scholar
[4]Michaelis, L. and Menten, M. L., “Die Kinetik der Invirtinwirkung”, Biochem. Z. 49 (1913) 333–369.Google Scholar
[5]Monod, J., Wyman, J. and Changeux, J. P., “On the nature of allosteric transitions: a plausible model”, J. Mol. Biol. 12 (1965) 88–118.CrossRefGoogle ScholarPubMed
[6]Savageau, M. A., “Michaelis-Menten mechanism reconsidered: implications of fractal kinetics”, J. Theor. Biol. 176 (1995) 115–124.Google Scholar
[7]Voit, E. O., Canonical nonlinear modeling (Van Nostrand Reinhold, New York, 1991).Google Scholar