On the use of multivariable piecewise-linear models for predicting human response to anesthesia

IEEE Transactions on Biomedical Engineering

Volumn 51, Issue 11, 2004, Pages 1876-1887

  Lin, Hui Hing ^a,c,d,e,f,g   Beck, Carolyn L ^a,h,i,j,k   Bloom, Marc J ^b,c,l,m,n  

^a United States of America   (United States)

^b NEW YORK UNIVERSITY SCHOOL OF MEDICINE   (United States)

^c Chinese Culture University ^*  (United States)

^d CHINESE CULTURE UNIVERSITY   (Taiwan)

^e UNIVERSITY OF PITTSBURGH   (United States)

^f UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^g CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^h CARNEGIE MELLON UNIVERSITY   (United States)

ⁱ CALIFORNIA STATE POLYTECHNIC UNIVERSITY   (United States)

^j HEWLETT PACKARD COMPANY   (United States)

^k University of Pittsburgh   (United States)

^l UNIVERSITY OF PENNSYLVANIA   (United States)

^m PENNSYLVANIA HOSPITAL   (United States)

ⁿ NEW YORK UNIVERSITY   (United States)

more..

Author keywords

Anesthesia; Compartment models; Piecewise linear models; Subspace identification

Indexed keywords

ANESTHETIC AGENTS; MULTIVARIABLE PIECEWISE-LINEAR MODELS;

COMPUTER SIMULATION; MATHEMATICAL MODELS; PATIENT MONITORING; PHARMACODYNAMICS; PHARMACOKINETICS; PIECEWISE LINEAR TECHNIQUES;

DRUG PRODUCTS;

ANESTHETIC AGENT;

ADULT; ANESTHESIA; ARTICLE; COMPARATIVE STUDY; FEMALE; HUMAN; MALE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PREDICTION; STATISTICAL MODEL; STIMULUS RESPONSE; SURGICAL TECHNIQUE;

ADULT; ALGORITHMS; ANESTHESIA; ANESTHETICS; COMPUTER SIMULATION; DRUG THERAPY, COMPUTER-ASSISTED; ELECTROCARDIOGRAPHY; FEMALE; HUMANS; LINEAR MODELS; MALE; MODELS, BIOLOGICAL; MULTIVARIATE ANALYSIS; PILOT PROJECTS;

EID: 6344280219     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2004.831541     Document Type: Article

References (41)

1. D. R. Stanksi, "Monitoring Depth of AnesthesiaAnesthesia," in Anesthesia, 3rd ed, R. D. Miller, Ed. New York: Churchill Livingston, 1990.
2. D. R. Wada and D. S. Ward, "The hybrid model: A new pharmacokinetic model for computer-controlled infusion pumps," IEEE Trans. Biomed. Eng., vol. 41, pp. 134-142, Feb. 1994.
3. K. Olkkola and H. Schwilden, "Adaptive closed-loop feedback control of vecuronium-induced neuromuscalar relaxation," Eur. J. Anaesthesiol., vol. 8, no. 1, pp. 7-12, Jan. 1991.
4. T. W. Schnider, C. F. Minto, and D. R. Stanski, "The effect compartment concept in pharmacodynamic modeling," Anesthetic Pharmacol. Rev., vol. 2, no. 3, pp. 204-213, 1994.
5. N. H. G. Holford and L. B. Sheiner, "Understanding the dose-effect relationship: Clinical application of pharmacokinetic-pharmacodynamic models," Clin. Pharmacokinetics, vol. 6, pp. 429-453, 1981.
6. H. Schwilden and H. Stoeckel, "Effective therapeutic infusions produced by closed-loop feedback control of methohexital administration during total intravenous anesthesia with fentanyl," Anesthesiology, vol. 73, no. 2, pp. 225-229, Aug. 1990.
7. H. Schwilden and K. Olkkola, "Use of a pharmacokinetic-dynamic model for the automatic feedback control of atracurium," Eur. J. Clin. Pharmacol., vol. 40, no. 3, pp. 293-296, 1991.
8. A. Gentilini, C. Schaniel, M. Morari, C. Bieniok, R. Wymann, and T. Schnider, "A new paradigm for the closed-loop intraoperative administration of analgesics in humans," IEEE Trans. Biomed. Eng., vol. 49, pp. 289-299, Apr. 2002.
9. P. S. Glass, M. Bloom, L. Kearse, C. Rosow, P. Sebel, and P. Manberg, "Bispectral analysis measures sedation and memory effects of propofol, midazolam, isoflurane, and alfentanil in healthy volunteers," Anesthesiology, vol. 86, no. 4, pp. 836-847, Apr. 1997.
10. I. J. Rampil, "A primer for EEG signal processing analysis," Anesthesiology, vol. 89, no. 4, pp. 980-1002, Oct. 1998.
11. J. C. Sigl and N. G. Chamoun, "An introduction to bispectral analysis for the electroencephalogram," J. Clin. Monitoring, vol. 10, no. 6, pp. 392-404, Nov. 1994.
12. E. Olofsen and A. Dahan, "The dynamic relationship between end-tidal sevoflurane and isoflurane concentrations and bispectral index and spectral edge frequency of the electroencephalogram," Anesthesiology, vol. 90, no. 5, pp. 1345-1353, May 1999.
13. A. Gentilini, M. Rossoni-Gerosa, C. Frei, R. Wymann, M. Morari, A. Zbinden, and T. Schnider, "Modeling and closed loop control of hypnosis by means of bispectral index (BIS) with isoflurane," IEEE Trans. Biomed. Eng., vol. 48, pp. 874-889, Aug. 2001.
14. A. Gentilini, C. W. Frei, A. H. Glattfelder, M. Morari, T. J. Sieber, R. Wymann, T. W. Schnider, and A. M. Zbinden, "Multi-tasked closed loop control in anesthesia," IEEE Eng. Med. Biol. Mag., vol. 20, no. 1, pp. 39-53, Jan. 2001.
15. E. Mortier, M. Struys, T. D. Smet, L. Versichelen, and G. Rolly, "Closed-loop controlled administration of propofol using bispectral analysis," Anesthesia, vol. 53, no. 8, pp. 749-754, 1998.
16. C. L. Beck, R. Smith, H. H. Lin, and M. Bloom, "On the application of system identification and model validation methods for constructing multivariable anesthesia response models," in Proc. IEEE Conf. Control Applications, 2000, pp. 784-790.
17. H. H. Lin, C. L. Beck, J. Nedumgottil, and M. Bloom, "An investigation of multivariable models for human response to anesthesia," in Proc. IEEE Conf. Decision and Control, 2001, pp. 867-868.
18. H. H. Lin, C. L. Beck, M. Bloom, and J. Chudoung, "On the use of hybrid multivariable models for predicting human response to anesthesia," in Proc. IEEE Conf. Decision and Control, 2002, pp. 910-916.
19. M. von Spreckelsen and B. Bromm, "Estimation of single-evoked cerebral potentials by means of parametric modeling and Kalman filtering," IEEE Trans. Biomed. Eng., vol. 35, pp. 691-700, Sept. 1988.
20. M. Derighetti, C. W. Frei, M. Buob, A. M. Zbinden, and T. W. Schnider, "Modeling the effect of surgical stimulation on mean arterial blood pressure," in Proc. 1997 19th Annu. Int. Conf. IEEE Engineering in Medicine and Biology Society, vol. 5, 1997, pp. 2172-2175.
21. C. W. Frei, M. Derighetti, M. Morari, A. H. Glattfelder, and A. M. Zbinden, "Improving regulation of mean arterial blood pressure during anesthesia through estimates of surgery effects," IEEE Trans. Biomed. Eng., vol. 47, pp. 1456-1464, Nov. 2000.
22. J. O. Johnson and S. E. Kern, "Bispectral electroencephalographic analysis for patient monitoring during anesthesia," Advances in Anesthesia, pp. 61-81, 1999.
23. P. S. Sebel, "Bispectral monitoring technology: Clinical applications," in Anesthesia for the New Millennium - Modern Anesthetic Clinical, Pharmacology, T. Stanley and T. Egan, Eds. Dordrecht, The Netherlands: Kluwer Academic, 1999, pp. 99-104.
24. R. Berne, M. N. Levy, B. M. Koeppen, and B. A. Stanton, Physiology, 4th ed. St. Louis, MO: Mosby, 1998.
25. P. Van Overschee and B. De Moor, "N4SID: Subspace algorithms for identification of combined deterministic-stochastic systems," Automatica, vol. 30, no. 1, pp. 75-93, 1994.
26. L. Ljung, System Identification: Theory for the User, 2nd ed. Upper Saddle River, NJ: Prentice-Hall PTR, 1999.
27. N. Yasuda, S. H. Lockhart, E. I. Eger II, R. B. Weiskopf, J. Liu, M. Laster, S. Taheri, and N. A. Peterson, "Comparison of kinetics of sevoflurane and isoflurane in humans," Anesth. Analgesia, pp. 316-324, 1991.
28. F. J. Frei, A. M. Zbinden, D. A. Thomson, and H. U. Rieder, "Is the end-tidal partial pressure of isoflurane a good predictor of its arterial partial pressure?," Br. J. Anaesthesia, vol. 66, pp. 331-339, 1991.
29. T. Söderström and P. Stoica, System Identification. Upper Saddle River, NJ: Prentice-Hall, 1989.
30. E. I. Eger II, "Isoflurance: A review," Anesthesiology, vol. 55, no. 5, pp. 559-576, Nov. 1981.
31. O. Dale and B. R. B. Jr, "Clinical pharmacokinetics of the inhalational anaesthetics," Clin. Pharmacokinetics, vol. 12, pp. 145-167, 1987.
32. E. I. Eger II, "Current and future perspectives on inhaled anesthetics," Pharmacotherapy, vol. 18, no. 5, pp. 895-910, 1998.
33. M. Johansson, Piecewise Linear Control Systems. New York: Springer, 2003.
34. L. Rodrigues and J. P. How, "Observer-based control of piecewise-affine systems," in Proc. IEEE Conf. Decision and Control, 2001, pp. 1366-1371.
35. D. Mignone, G. Ferrari-Tecate, and M. Morari, "Stability and stabilization of piecewise affine systems: An LMI approach," in Proc. IEEE Conf. Decision and Control, 2000, pp. 504-509.
36. A. Bemporad, F. Borrelli, and M. Morari, "Optimal controllers for hybrid systems: Stability and piecewise linear explicit form," in Proc. IEEE Conf. Decision and Control, 2000, pp. 1810-1815.
37. M. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Trans. Automat. Contr., vol. 43, pp. 475-482, Apr. 1998.
38. A. H. W. Geerts and J. M. Schumacher, "Impulsive-smooth behavior in multimode systems part I: State-space and polynomial representations," Automatica, vol. 32, no. 5, pp. 747-758, 1996.
39. E. B. Liem, C.-M. Lin, M.-I. Suleman, A. Doufas, and D. I. Sessler, "Increased anesthetic requirement in subjects with naturally red hair," Anesthesiology, vol. 97, no. A-77, 2002.
40. A. Packard, "Gain scheduling via linear fraction transformations," Syst. Contr. Lett., vol. 22, no. 2, pp. 79-92, Feb. 1994.
41. G. Becker and A. Packard, "Robust performance of linear parametrically varying systems using parametrically-depend linear feedback," Syst. Contr. Lett., vol. 23, no. 3, pp. 205-215, Sept. 1994.