Computational and Mathematical Methods in Medicine

Computational and Mathematical Methods in Medicine / 2000 / Article

Open Access

Volume 2 |Article ID 378679 | https://doi.org/10.1080/10273660008833038

Ralf Bender, "Calculating Summary Measures of Unimodal Response Curves by Means of Nonlinear Regression Models", Computational and Mathematical Methods in Medicine, vol. 2, Article ID 378679, 8 pages, 2000. https://doi.org/10.1080/10273660008833038

Calculating Summary Measures of Unimodal Response Curves by Means of Nonlinear Regression Models

Received10 Mar 1998
Accepted08 Jan 1999

Abstract

In biomedical research summary measures such as the curve maximum (Cmax)are frequently used to describe and analyze unimodal response curves. However, if the true curve is perturbed by autocorrelated noise the calculation of summary measures from raw data can be arbitrary and misleading due to high peaks produced by the correlated errors. A possible solution is to fit suitable nonlinear functions to the response curves and estimate the summary measures from these functions. In this paper formulas are derived providing a way to estimate important summary measures of unimodal curves by means of the parameters of the lognormal function. The method is illustrated by application to pharmacodynamic data.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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