Title :
Application of linear and nonlinear time series modeling to heart rate dynamics analysis
Author :
Christini, D.J. ; Lutchen, Kenneth R. ; Ahmed, H.M. ; Hausdorff, Jeffrey M.
Author_Institution :
Dept. of Biomed. Eng., Boston Univ., MA, USA
fDate :
4/1/1995 12:00:00 AM
Abstract :
The linear autoregressive (AR) model is often used to investigate the pathophysiologic mechanisms controlling heart rate (HR) dynamics. This study implemented parametric models new to this field to determine if a more appropriate HR dynamics modeling structure exists. The linear AR and autoregressive-moving average (ARMA) models, and the nonlinear polynomial autoregressive (PAR) and bilinear (BL) models were fit to instantaneous HR time series obtained from nine subjects in the supine position. Model orders were determined by the Akaike Information Criteria (AIC). Model residual variance was used as the primary intermodel comparison criterion, with significance evaluated by a λ 2 distributed statistic. The BL model best represented the HR dynamics, as its residual variance was significantly (p<0.05) smaller than that of the corresponding AR model for nine out of nine data sets. In all cases, the BL model had a smaller residual variance than either the ARMA or PAR models. The bilinear model was ineffective at data forecasting, however, the authors show that this cannot reflect BL model validity because poor prediction is inherent to the BL model structure. The apparent superiority of the nonlinear bilinear model suggests that future heart rate dynamics studies should put greater emphasis on nonlinear analyses.
Keywords :
electrocardiography; medical signal processing; physiological models; time series; /spl lambda//sup 2/ distributed statistic; Akaike information criteria; ECG recordings analysis; autoregressive-moving average model; heart rate dynamics analysis; linear time series modeling; model residual variance; nonlinear time series modeling; parametric models; pathophysiologic mechanisms; supine position subjects; Aerospace electronics; Electrocardiography; Heart rate; Nonlinear dynamical systems; Parametric statistics; Polynomials; Predictive models; Signal processing; Statistical distributions; Time series analysis; Adult; Aged; Bias (Epidemiology); Electrocardiography; Evaluation Studies as Topic; Female; Heart Rate; Humans; Linear Models; Male; Middle Aged; Models, Cardiovascular; Predictive Value of Tests; Reproducibility of Results; Signal Processing, Computer-Assisted;
Journal_Title :
Biomedical Engineering, IEEE Transactions on