6533b7d9fe1ef96bd126b97d

RESEARCH PRODUCT

Need of causal analysis for assessing phase relationships in closed loop interacting cardiovascular variability series

Renzo AntoliniAlberto PortaLuca FaesGiandomenico NolloL. Widesott

subject

Causality (physics)Range (mathematics)Series (mathematics)Autoregressive modelControl theorySettore ING-INF/06 - Bioingegneria Elettronica E InformaticaPhase (waves)Open-loop controllerComputer Science Applications1707 Computer Vision and Pattern RecognitionBivariate analysisCardiology and Cardiovascular MedicineCross-spectrumMathematics

description

The phase spectra obtained by the classical closed loop autoregressive model (2AR) and by an open loop autoregressive model (ARXAR) were compared to shed light on the need of introducing causality in the assessment of the delay between RR and arterial pressure oscillations. The reliability of the two approaches was tested in simulation and real data setting. In simulation, the coupling strength of a bivariate closed loop process was adjusted to obtain a range of working conditions from open to closed loop. In open loop condition, 2AR and ARXAR phases were comparable and in agreement with the imposed delay. In closed loop condition, ARXAR model returned the imposed delays, while 2AR showed an intermediate value of delay. Real data were chosen to represent comparable physiological condition. The use of cross spectrum for calculating the delay from arterial peressure to RR oscillations seems adequate only in particular condition of open-loop relationship as it happens during head up tilt in young healthy subjects.

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