Metrics from nonlinear dynamics adapted for characterizing the behavior of nonequilibrium enzymatic rate functions.
Several metrics from nonlinear dynamics and statistical mechanics have been characterized on computer-generated number series with various signal-to-noise ratios, demonstrating their individual reliability as a function of sample size and their relationships to each other. The root mean square (RMS) evaluates amplitude, and the power spectral density (PSD) provides a visual display of the frequency spectrum; both measures have very high reliability even for an N as low as 50. The Fractal Dimension ( D) is shown to converge rapidly and also to be reliable when N is as low as 50. These three measures (RMS, PSD, and D) have been applied to the complex kinetics of tyrosine hydroxylase time courses (50-point curves) at various BH4 concentrations (near physiological, but far from equilibrium levels). Recently developed measures of spectral entropy and the Liapunov Exponent, -lambda are also characterized.[1]References
- Metrics from nonlinear dynamics adapted for characterizing the behavior of nonequilibrium enzymatic rate functions. Russo, P.V., Mandell, A.J. Anal. Biochem. (1984) [Pubmed]
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