Medical Engineering & Physics
Volume 29, Issue 4 , Pages 505-515 , May 2007

Closed-loop nonlinear system identification via the vector optimal parameter search algorithm: Application to heart rate baroreflex control

Received 9 November 2005 ,Revised 4 June 2006 ,Accepted 20 June 2006.

References 

  1. Nollo G, Faes L, Porta A, Pellegrini B, Ravelli F, Del Greco M, et al. Evidence of unbalanced regulatory mechanism of heart rate and systolic pressure after acute myocardial infarction. Am J Physiol Heart Circ Physiol. 2002;283:H1200–H1207
  2. Yip KP, Holstein-Rathlou NH. Chaos and non-linear phenomena in renal vascular control. Cardiovasc Res. 1996;31:359–370
  3. Kanters JK, Holstein-Rathlou NH, Agner E. Lack of evidence for low-dimensional chaos in heart rate variability. J Cardiovasc Electrophysiol. 1994;5:591–601
  4. Korenberg MJ. Identifying nonlinear difference equation and functional expansion representations: the fast orthogonal algorithm. Ann Biomed Eng. 1988;16:123–142
  5. Korenberg MJ. Fast orthogonal algorithms for nonlinear system identification and time-series analysis. In:  Marmarelis VZ editors. Advanced methods of physiological system modeling. vol. II:Los Angeles: Biomedical Simulations Resource; 1989;p. 165–177
  6. Wang H, Lu S, Ju K, Chon KH. A new approach to closed-loop linear system identification via a vector autoregressive model. Ann Biomed Eng. 2002;30:1204–1214
  7. Lu S, Ju K, Chon KH. A new algorithm for linear and nonlinear ARMA model parameter estimation using affine geometry. IEEE Trans Biomed Eng. 2001;48:1116–1124
  8. Bagarinao E, Sato S. Algorithm for vector autoregressive model parameter estimation using an orthogonalization procedure. Ann Biomed Eng. 2002;30:260–271
  9. Marple SL. Digital spectral analysis with applications. Englewood Cliffs, NJ: Prentice-Hall; 1987;
  10. Chandrasekaran M, Gu AH, Sayed K, Shubert E. The degenerate bounded errors-in-variables model. SIAM J Matrix Anal Appl. 2001;23:138–145
  11. Moon TK, Stirling WC. Mathematical methods and algorithms for signal processing. Upper Saddle River, NJ: Prentice Hall; 2000;
  12. Lu S, Chon KH. Nonlinear autoregressive and nonlinear autoregressive moving average model parameter estimation by minimizing hypersurface distance. IEEE Tran Signal Process. 2003;51:3020–3026
  13. Gleser LJ. Estimation in a multivariate errors in variables regression model: large sample results. Ann Stat. 1981;9:24–44
  14. Zou R, Wang H, Chon KH. A robust time-varying identification algorithm using basis functions. Ann Biomed Eng. 2003;31:840–853
  15. Henon M. A two-dimensional map with strange attractor. Commun Math Phys. 1976;50:69–77
  16. Parati G, Di Rienzo M. Assessing spontaneous baroreflex function: methodological considerations. Clin Sci (Lond). 2002;103:89–91
  17. Levy MN. Sympathetic-parasympathetic interactions in the heart. Circ Res. 1971;29:437–445
  18. Chon KH, Mullen TJ, Cohen RJ. A dual-input nonlinear system analysis of autonomic modulation of heart rate. IEEE Trans Biomed Eng. 1996;43:530–544
  19. Saul JP, Berger RD, Chen MH, Cohen RJ. Transfer function analysis of autonomic regulation. II. Respiratory sinus arrhythmia. Am J Physiol. 1989;256:H153–H161
  20. Chon KH, Mukkamala R, Toska K, Mullen TJ, Armoundas AA, Cohen RJ. Linear and nonlinear system identification of autonomic heart-rate modulation. IEEE Eng Med Biol Mag. 1997;16:96–105
  21. Porta A, Furlan R, Rimoldi O, Pagani M, Malliani A, van de Borne P. Quantifying the strength of the linear causal coupling in closed loop interacting cardiovascular variability signals. Biol Cybern. 2002;86:241–251
  22. Palus M, Hoyer D. Detecting nonlinearity and phase synchronization with surrogate data. IEEE Eng Med Biol Mag. 1998;17:40–45

PII: S1350-4533(06)00139-1

doi: 10.1016/j.medengphy.2006.06.013

Medical Engineering & Physics
Volume 29, Issue 4 , Pages 505-515 , May 2007

Article Tools

* Image Usage & Resolution