Title :
A simple model for the simulation of low frequency heart rate variability waves
Author :
Leor-Librach, R.J. ; Bobrovsky, B.Z. ; Eliash, S. ; Kaplinsky, E.
Author_Institution :
The Heart Inst., Sanz Med. Center, Netanya, Israel
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.
Keywords :
biocontrol; cardiology; difference equations; haemodynamics; physiological models; three-term control; controller; dynamic properties; dynamic set-point; filtered heart rate; first order difference equation; low frequency heart rate variability waves simulation; proportional integral derivative control loop; smoothed heart rate; spontaneous heart rate variability; wave generator; Difference equations; Frequency; Heart rate; Heart rate variability; Mathematical model; PD control; Pi control; Proportional control; Steady-state; Testing;
Conference_Titel :
Computers in Cardiology 2000
Conference_Location :
Cambridge, MA, USA
Print_ISBN :
0-7803-6557-7
DOI :
10.1109/CIC.2000.898648