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Biophys. J. BioFAST: First Published January 25, 2008. doi:10.1529/biophysj.107.113241
© 2008 by the Biophysical Society.


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PROTEINS

An error analysis for two-state protein folding kinetic parameters and {phi} values: progress towards precision by exploring pH dependencies on Leffler plots

Eva S Cobos 1, Adela M Candel 1 and Jose C Martinez 1*

1 University of Granada

* To whom correspondence should be addressed. E-mail: jcmh{at}ugr.es.

Submitted on May 19, 2007
Revised on August 14, 2007
Accepted on 20 November 2007


   Abstract
The interpretation of {phi} values has led to an understanding of the folding transition state ensemble of a variety of proteins. Although the main guidelines and equations for calculating {phi} are well established there remains some controversy about the quality of the numerical values obtained. By analysing a complete set of results from kinetic experiments with the SH3 domain of {alpha}-spectrin (Spc-SH3) and applying classical error methods and error-propagation formulas we have evaluated the uncertainties involved in two-state-folding kinetic experimental parameters and the corresponding calculated {phi} values. We show that kinetic constants in water and m values can be properly estimated from a judicious weighting of fitting errors and describe some procedures to calculate the errors in Gibbs energies and {phi} values from a traditional two-point Leffler analysis. Furthermore, on the basis of general assumptions made with the protein engineering method, we show how to generate multi-point Leffler plots via the analysis of pH dependencies of kinetic parameters. We have calculated the definitive {phi} values for a collection of single mutations previously designed to characterise the folding transition state of the {alpha}-spectrin SH3 domain. The effectiveness of the pH-scanning procedure is also discussed in the context of error analysis. Judging from the magnitudes of the error bars obtained from two-point and multi-point Leffler plots we conclude that the precision obtained for {phi} values should be around 25%, a reasonable limit that takes into account the propagation of experimental errors.

Key Words: Leffler plots, errors propagation, phi value analysis, protein folding kinetics, rate-equilibrium relationships, transition state







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Copyright © 2008 by the Biophysical Society.