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Journal of Pharmacology And Experimental Therapeutics Fast Forward
First published on December 1, 2006; DOI: 10.1124/jpet.106.113183

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Received for publication September 28, 2006.
Revised November 27, 2006.
Accepted for publication November 30, 2006.

Use of Wavelet and Fast Fourier Transforms in Pharmacodynamics

Donald E. Mager 1 Darrell R. Abernethy 2*

1 University at Buffalo, SUNY 2 National Institute on Aging/ NIH

* Address correspondence to: E-mail: abernethyd{at}grc.nia.nih.gov

Abstract

Progress has been made in the development and application of mechanism-based pharmacodynamic models for describing the drug specific and physiological factors influencing the time-course of responses to the diverse actions of drugs. However, the biological variability in biosignals and the complexity of pharmacological systems often complicate or preclude the direct application of traditional structural and nonstructural models. Mathematical transforms may be utilized to provide measures of drug effects, identify structural and temporal patterns, and visualize multi-dimensional data from analyses of biomedical signals and images. Fast Fourier transform (FFT) and wavelet analyses are two methodologies that have proven to be useful in this context. FFT converts a signal from the time domain to the frequency domain, while wavelet transforms co-localize in both domains and may be utilized effectively for non-stationary signals. Non-stationary drug effects are common, however have not been well analyzed and characterized by other methods. In this review, we discuss specific applications of these transforms in pharmacodynamics as well as their potential role in ascertaining dynamics of spatio-temporal properties of complex pharmacological systems.


Key words: Fourier analysis, mathematical modeling, nonlinear dynamics, pharmacodynamics, signal processing, wavelet analysis


This article has been cited by other articles:


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D. E. Mager, E. Kobrinsky, A. Masoudieh, A. Maltsev, D. R. Abernethy, and N. M. Soldatov
Analysis of Functional Signaling Domains from Fluorescence Imaging and the Two-Dimensional Continuous Wavelet Transform
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[Abstract] [Full Text] [PDF]


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