Multivariate Closed-Loop Model for Analysis of Cardiovascular Dynamics

Abstract.

This paper introduces a closed-loop model for the analysis of interactions between heart rate and blood pressure variability, and respiration. The respiratory influence is modeled with an anti-causal structure to control the possible phase lead of heart rate to instantaneous lung volume. The closed-loop structure between heart rate and blood pressure allows the analysis of inter-relationships between the signals. Simulations and results on experimental data show the identifiability of the model and the robustness of the noise source contribution analysis over a wide range of model orders.

Keywords:

Cardiovascular Control - Heart Rate - Blood Pressure - Respiration - Closed-Loop Modeling - Spectrum

• REFERENCES

• 1 Kalli S, Turjanmaa V, Suoranta R, Uusitalo A. Assessment of blood pressure and heart rate variability using multivariate autoregressive modelling. Biomed Meas Inf Contr 1988; 02: 46-56.
• 2 Korhonen I, Takalo R, Turjanmaa V. Multivariate autoregressive model with immediate transfer paths for assessment of interactions between cardiopulmonary variability signals. Med Biol Eng Comp 1996; 34: 199-206.
• 3 Baselli G, Cerutti S, Civardi S, Malliani A, Pagani M. Cardiovascular variability signals: towards the identification of a closed-loop model of the neural mechanisms. IEEE Trans Biomed Eng 1988; 35: 1033-46.
• 4 Saul JP, Berger RD, Chen MH, Cohen RJ. Transfer function analysis of autonomic regulation II. Respiratory sinus arrhythmia. Am J Physiol 1989; 256: H153-61.
• 5 Perrott MH, Cohen RJ. An efficient approach to ARMA modeling of biological systems with multiple inputs and delays. IEEE Trans Biomed Eng 1996; 43: 1-14.
• 6 Korhonen I, Mainardi L, Loula P, Garrault G, Baselli G, Bianchi A. Linear multivariate models for physiological signal analysis: theory. Comp Meth Progr Biomed 1996; 51: 85-94.
• 7 Ljung L. System Identification. Theory for the User. Englewood Cliffs, NJ: Prentice-Hall; 1987
• 8 Ljung L. System Identification Toolbox for use with MATLAB. South Natic, MA: The Mathworks; 1988