de Paor, Annraoi and Ringwood, John
(2006)
A Simple Soft Limiter Describing Function for
Biomedical Applications.
IEEE transactions on biomedical engineering, 53 (7).
pp. 1233-1240.
ISSN 0018-9294
Abstract
This paper suggests an arctangent function as a suitable
parameterisation for the soft-limiting gain characteristic frequently
encountered in models of biomedical systems. This function
is shown, as an example, to fit the neural arc component of the
baroreflex with the main contribution of the paper being the development
of a simple describing function (DF) characteristic for the
arctangent. The simple form of the DF allows transparency of the
physiological parameters in, for example, stability analysis. For illustration,
the derived DF is used to examine low-frequency limit
cycles in blood pressure, sometimes termed Mayer waves.
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