Comparative nonlinear modeling of renal autoregulation in rats: Volterra approach versus artificial neural networks

IEEE Transactions on Neural Networks

Volumn 9, Issue 3, 1998, Pages 430-435

  Chon, Ki H ^a,b   Holstein Rathlou, N H ^c   Marsh, Donald J ^b   Marmarelis, Vasilis Z ^a,d  

^a IEEE   (United States)

^b BROWN UNIVERSITY   (United States)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

^d USC ^*  (United States)

Author keywords

Artificial neural networks; Autoregulation; Laguerre functions; Myogenic; Nonlinear; TGF; Volterra models

Indexed keywords

HEMODYNAMICS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PHYSIOLOGICAL MODELS;

LAGUERRE EXPANSION TECHNIQUE; RENAL AUTOREGULATION; VOLTERRA MODELS;

FEEDFORWARD NEURAL NETWORKS;

EID: 0032070687     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.668884     Document Type: Review

References (11)

1. C. M. Bishop, Neural Networks for Pattern Recognition. New York: Oxford Univ. Press, 1995.
2. B. D. Ripley, Pattern Recognition and Neural Networks. New York: Cambridge Univ. Press, 1996.
3. N. H. Holstein-Rathlou, A. J. Wagner, and D. J. Marsh, "Tubuloglomerular feedback dynamics and renal blood flow autoregulation in rats," Amer. J. Physiol., vol. 260, pp. F53-F68, 1991.
4. D. K. Young and D. J. Marsh, "Pulse wave propagation in rat renal tubules: Implications for GFR autoregulation," Amer. J. Physiol., vol. 240, pp. F446-F458, 1981.
5. K. H. Chon, Y. M. Chen, N. H. Holstein-Rathlou, D. J. Marsh, and V. Z. Marmarelis, "On the efficacy of linear system analysis of renal autoregulation in rats," IEEE Trans. Biomed. Eng., vol. 40, pp. 8-20, 1993.
6. K. H. Chon, Y. M. Chen, D. J. Marsh, V. Z. Marmarelis, and N. H. Holstein-Rathlou, "Detection of interactions between myogenic and TGF mechanisms using nonlinear analysis," Amer. J. Physiol., vol. 36, pp. F160-F173, 1994.
7. V. Z. Marmarelis, K. H. Chon, Y. M. Chen, D. J. Marsh, and N. H. Holstein-Rathlou, "Nonlinear analysis of renal autoregulation under broadband forcing conditions," Ann. Biomed. Eng., vol. 21, pp. 591-603, 1993.
8. V. Z. Marmarelis, "Identification of nonlinear biological system using Laguerre expansions of kernels," Ann. Biomed. Eng., vol. 21, pp. 673-689, 1993.
9. V. Z. Marmarelis and X. Zhao, "Volterra models and three-layer perceptrons," in Advanced Methods of Physiological System Modeling, vol. 8, V. Z. Marmarelis, Ed. New York: Plenum, 1997, pp. 1421-1433.
10. J. Wray and G. G. R. Green, "Calculation of the Volterra kernels of nonlinear dynamic systems using an artificial neural network," Biol. Cyber., vol. 71, pp. 187-195, 1994.
11. V. Z. Marmarelis, "A family of quasiwhite random signals and its optimum use in biological system identification. Part I: Theory," Biol. Cybern., vol. 27, pp. 49-56, 1977.