Abstract
The purpose of this study was mathematical modeling of the low frequency heart rate variability wave (LFHR) and its response to isoproterenol (ISP) infusion. In a previous study the authors found that the steady-state HR can be described as a hyperbolic power function of the steady-state ISP flow rate. This dependency was coupled with a first order difference equation to form a pharmacodynamic model that reliably describes the relationship between filtered HR and ISP flow for any arbitrary form of ISP flow function. In the authors' present study they used the filtered-HR-ISP model as part of a proportional integral derivative control loop and showed that this new simple model can simulate LFHR waves. When using filtered and smoothed HR from the experiments as dynamic set-point for the controller the authors found high correlation between LFHR amplitude (R=0.9) and frequency (R=0.87) of the model and the experimental results. This new model can be used for better understanding of the dynamic properties of LFHR waves. It may also be used as a wave generator for testing new methods for the appreciation of LFHR waves.
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