Statistical modeling of cardiovascular signals and parameter estimation based on the extended kalman filter

IEEE Transactions on Biomedical Engineering

Volumn 55, Issue 1, 2008, Pages 119-129

  McNames, James ^a   Aboy, Mateo ^b,c  

^a Portland State University   (United States)

^b PORTLAND STATE UNIVERSITY   (United States)

^c OREGON INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cardiovascular signals; Extended Kalman filter (EKF); Heart rate estimation; Pulse pressure variation (PPV) estimation; Respiratory rate estimation

Indexed keywords

ALGORITHMS; DATA REDUCTION; DATABASE SYSTEMS; EXTENDED KALMAN FILTERS; PARAMETER ESTIMATION; STATISTICAL METHODS;

CARDIOVASCULAR SIGNALS; HEART RATE ESTIMATION; PULSE PRESSURE VARIATION (PPV) ESTIMATION; RESPIRATORY RATE ESTIMATION;

CARDIOVASCULAR SYSTEM;

ALGORITHM; ARTICLE; BREATHING RATE; CARDIOVASCULAR PARAMETERS; HEART RATE; PULSE PRESSURE; SENSITIVITY AND SPECIFICITY; SIGNAL DETECTION; STATISTICAL MODEL;

ALGORITHMS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; CARDIOVASCULAR PHYSIOLOGY; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; HEART RATE; HUMANS; INTRACRANIAL PRESSURE; MODELS, CARDIOVASCULAR; MODELS, STATISTICAL; OXIMETRY; RESPIRATORY MECHANICS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 37349012641     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2007.910648     Document Type: Article

References (60)

1. K. L. Berrier, D. C. Sorensen, and D. S. Khoury, "Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter," IEEE Trans Biomed. Eng., vol. 51, no. 3, pp. 507-515, Mar. 2004.
2. A. Bosnjak, G. Bevilacqua, G. Passariello, F. Mora, B. Sansó, and G. Carrault, "An approach to intelligent ischaemia monitoring," Med. Biol. Eng. Comput., vol. 33, no. 6, pp. 749-756, Nov. 1995.
3. M. H. Ebrahim, J. M. Feldman, and I. Bar-Kana, "A robust sensor fusion method for heart rate estimation," J. Clin. Monit., vol. 13, no. 6, pp. 385-393, Nov. 1997.
4. M. S. Woolfson, "Study of cardiac arrhythmia using the Kalman filter," Med. Biol. Eng. Comput., vol. 29, no. 4, pp. 398-405, Jul. 1991.
5. D. F. Sittig and K. H. Cheung, "A parallel implementation of a multistate Kalman filtering algorithm to detect EEG arrhythmias," Int. J. Clin. Monit. Comput., vol. 9, no. 1, pp. 13-22, 1992.
6. L. Sörnmo, "A model-based approach to QRS delineation," Comput. Biomed. Res., vol. 20, no. 6, pp. 526-542, Dec. 1987.
7. M. P. Tarvainen, S. D. Georgiadis, P. O. Ranta-Aho, and P. A. Karjalainen, "Time-varying analysis of heart rate variability signals with a Kalman smoother algorithm," Physiol. Meas., vol. 27, no. 3, pp. 225-239, Mar. 2006.
8. M. Arnold, W. H. Miltner, H. Witte, R. Bauer, and C. Braun, "Adaptive ar modeling of nonstationary time series by means of Kalman filtering," IEEE Trans. Biomed. Eng., vol. 45, no. 5, pp. 553-562, May 1998.
9. J. S. Barlow, "Methods of analysis of nonstationary EEGs, with emphasis on segmentation techniques: A comparative review," J. Clin. Neurophysiol., vol. 2, no. 3, pp. 267-304, Jul. 1985.
10. A. Hasman, B. H. Jansen, G. H. Landeweerd, and A. W. van Blokland-Vogelesang, "Demonstration of segmentation techniques for EEG records," Int. J. Biomed. Comput., vol. 9, no. 4, pp. 311-321, Jul. 1978.
11. F. Bartoli and S. Cerutti, "An optimal linear filter for the reduction of noise superimposed to the EEG signal," J. Biomed. Eng., vol. 5, no. 4, pp. 274-280, Oct. 1983.
12. M. Eiselt, J. Schindler, M. Arnold, H. Witte, U. Zwiener, and J. Frenzel, "Functional interactions within the newborn brain investigated by adaptive coherence analysis of EEG," Neurophysiol. Clin., vol. 31, no. 2, pp. 104-113, Apr. 2001.
13. A. Galka, O. Yamashita, T. Ozaki, R. Biscay, and P. Valdés-Sosa, "A solution to the dynamical inverse problem of EEG generation using spatiotemporal Kalman filtering," Neuroimage, vol. 23, no. 2, pp. 435-453, Oct. 2004.
14. P. Penczek, W. Grochulski, J. Grzyb, and M. Kowalczyk, "The use of a multi-channel Kalman filter algorithm in structural analysis of the epileptic EEG," Int. J. Biomed. Comput., vol. 20, no. 1-2, pp. 135-151, Jan. 1987.
15. P. Penczek, W. Grochulski, and M. Kowalczyk, "Computer-aided analysis of the epileptic EEG," Acta Physiol. Pol., vol. 37, no. 6, pp. 262-274, 1986.
16. S. Rump, M. Kowalczyk, and P. Penczek, "Syntactic analysis of the experimental epileptic EEG," Pol J. Pharmacol Pharm., vol. 40, no. 6, pp. 585-592, 1988.
17. A. Schlögl, F. Lee, H. Bischof, and G. Pfurtscheller, "Characterization of four-class motor imagery EEG data for the bci-competition 2005," J. Neural Eng., vol. 2, no. 4, pp. L14-L22, Dec. 2005.
18. P. Sykacek, S. J. Roberts, and M. Stokes, "Adaptive bci based on variational Bayesian Kalman filtering: An empirical evaluation," IEEE Trans. Biomed. Eng., vol. 51, no. 5, pp. 719-727, May 2004.
19. M. P. Tarvainen, J. K. Hiltunen, P. O. Ranta-aho, and P. A. Karjalainen, "Estimation of nonstationary EEG with Kalman smoother approach: An application to event-related synchronization (ERS)," IEEE Trans. Biomed. Eng., vol. 51, no. 3, pp. 516-524, Mar. 2004.
20. P. A. Valdes, J. C. Jimenez, J. Riera, R. Biscay, and T. Ozaki, "Nonlinear EEG analysis based on a neural mass model," Biol. Cybern., vol. 81, no. 5-6, pp. 415-424, Nov. 1999.
21. L. H. Zetterberg, "Recent advances in EEG data processing," Electroencephalogr. Clin. Neurophysiol. Suppl., no. 34, pp. 19-36, 1978.
22. J.-H. Zhang, J. F. Böhme, and Y.-J. Zeng, "A nonlinear adaptive fuzzy approximator technique with its application to prediction of non-stationary EEG dynamics and estimation of single-sweep evoked potentials," Technol. Health Care, vol. 13, no. 1, pp. 1-21, 2005.
23. M. Aboy, O. W. Márquez, J. McNames, R. Hornero, T. Trong, and B. Goldstein, "Adaptive modeling and spectral estimation of nonstationary biomedical signals based on Kalman filtering," IEEE Trans. Biomed. Eng., vol. 52, no. 8, pp. 1485-1489, Aug. 2005.
24. F. Michard, S. Boussat, D. Chemla, N. Anguel, A. Mercat, Y. Lecarpentier, C. Richard, M. R. Pinsky, and J. L. Teboul, "Relation between respiratory changes in arterial pulse pressure and fluid responsiveness in septic patients with acute circulatory failure," Am. J. Respir. Crit. Care Med., vol. 162, no. 1, pp. 134-138, Jul. 2000.
25. F. Michard, L. Ruscio, and J. L. Teboul, "Clinical prediction of fluid responsiveness in acute circulatory failure related to sepsis," Intensive Care Med., vol. 27, no. 7, p. 1238, Jul. 2001.
26. A. Kramer, D. Zygun, H. Hawes, P. Easton, and A. Ferland, "Pulse pressure variation predicts fluid responsiveness following coronary artery bypass surgery," Chest, vol. 126, no. 5, pp. 1563-1568, Nov. 2004.
27. F. Michard, "Changes in arterial pressure during mechanical ventilation," Anesthesiology, vol. 103, no. 2, pp. 419-428, Aug. 2005.
28. C. K. Hofer, L. Furrer, S. Matter-Ensner, M. Maloigne, R. Klaghofer, M. Genoni, and A. Zollinger, "Volumetric preload measurement by thermodilution: A comparison with transoesophageal echocardiography," Br. J. Anaesth., vol. 94, no. 6, pp. 748-755, Jun. 2005.
29. M. Aboy, J. McNames, T. Thong, C. R. Phillips, M. S. Ellenby, and B. Goldstein, "A novel algorithm to estimate the pulse pressure variation index deltaPP," IEEE Trans. Biomed. Eng., vol. 51, no. 12, pp. 2198-2203, Dec. 2004.
30. H. D. Portnoy and M. Chopp, "Cerebrospinal fluid pulse wave form analysis during hypercapnia and hypoxia," Neurosurgery, vol. 9, no. 1, pp. 14-27, Jul. 1981.
31. C. Contant, C. Robertson, J. Crouch, S. Gopinath, R. Narayan, and R. Grossman, "Intracranial pressure waveform indices in transient and refractory intracranial hypertension," J. Neurosci. Meth., vol. 57, pp. 15-25, Mar. 1995.
32. B. North, "Intracranial pressure monitoring," in Head Injury, P. Reilly and R. Bullock, Eds. London, U.K.: Chapman & Hall, 1997, pp. 209-216.
33. M. Czosnyka and J. D. Pickard, "Monitoring and interpretation of intracranial pressure," J. Neurol. Neurosurgery Psych., vol. 75, no. 5, pp. 813-821, Jun. 2004.
34. M. J. Dubin, G. Magram, and A. K. Prasad, "Intracranial presure waveform analysis: Computation of pressure transmission and waveform shape indicators," Neurolog. Res., vol. 20, pp. 533-541, Sep. 1998.
35. M. Chopp and H. D. Portnoy, "Systems analysis of intracranial pressure," J. Neurosurgery, vol. 53, pp. 516-527, Oct. 1980.
36. I. R. Piper, J. D. Miller, N. M. Dearden, J. R. S. Leggate, and I. Robertson, "Systems analysis of cerebrovascular pressure transmission: An observational study in head-injured patients," J. Neurosurgery, vol. 73, pp. 871-880, Dec. 1990.
37. E. L. Foltz, J. P. Blanks, and K. Yonemura, "CSF pulsatility in hydrocephalus: Respiratory effect on pulse wave slope as an indicator of intracranial compliance," Neurological Res., vol. 12, no. 2, pp. 67-74, Jun. 1990.
38. M. Aboy, J. McNames, T. Thong, D. Tsunami, M. S. Ellenby, and B. Goldstein, "An automatic beat detection algorithm for pressure signals," IEEE Trans. Biomed. Eng., vol. 52, no. 10, pp. 1662-1670, Oct. 2005.
39. J. Duchêne and J. Y. Hogrel, "A model of EMG generation," IEEE Trans. Biomed. Eng., vol. 47, no. 2, pp. 192-201, Feb. 2000.
40. J. P. Kaipio and P. A. Karjalainen, "Simulation of nonstationary EEG," Biol. Cybern., vol. 76, no. 5, pp. 349-356, May 1997.
41. M. Czosnyka, Z. Czosnyka, and J. D. Pickard, "Laboratory testing of three intracranial pressure microtransducers: Technical report," Neurosurgery, vol. 38, no. 1, pp. 219-224, Jan. 1996.
42. M. Czosnyka, Z. Czosnyka, and J. D. Pickard, "Laboratory testing of the Spiegelberg brain pressure monitor: A technical report," J. Neurol. Neurosurg. Psych., vol. 63, no. 6, pp. 732-735, Dec. 1997.
43. R. Hornero, M. Aboy, D. Abásolo, J. McNames, and B. Goldstein, "Interpretation of approximate entropy: Analysis of intracranial pressure approximate entropy during acute intracranial hypertension," IEEE Trans. Biomed. Eng., vol. 52, no. 10, pp. 1671-1680, Oct. 2005.
44. B. F. La Scala and R. R. Bitmead, "Design of an extended Kalman filter frequency tracker," IEEE Trans. Signal Process., vol. 44, no. 3, pp. 739-742, Mar. 1996.
45. E. A. Wan and R. van der Merwe, "The unscented Kalman filter," in Kalman Filtering and Neural Networks, S. Haykin, Ed. New York: Wiley, 2001.
46. P. M. Djurić, J. H. Kotecha, J. Zhang, Y. Huang, T. Ghirmai, M. F. Bugallo, and J. Míguez, "Particle filtering," IEEE Signal Process. Mag., vol. 20, no. 5, pp. 19-38, Sep. 2003.
47. G. B. Moody and R. G. Mark, "A database to support development and evaluation of intelligent intensive care monitoring," Comput. Cardiol., pp. 657-660, Sep. 1996.
48. A. L. Goldberger, L. A. N. Amaral, L. Glass, J. M. Hausdorff, P. C. Ivanov, R. G. Mark, J. E. Mietus, G. B. Moody, C.-K. Peng, and H. E. Stanley, "Physiobank, PhysioToolkit, and PhysioNet: Components of a new research resource for complex physiologic signals," Circulation, vol. 101, no. 23, pp. e215-e220, Jun. 2000.
49. B. Goldstein, J. McNames, B. A. McDonald, M. Ellenby, S. Lai, Z. Sun, D. Krieger, and R. J. Sclabassi, "Physiologic data acquisition system and database for the study of disease dynamics in the intensive care unit," Critical Care Med., vol. 31, no. 2, pp. 433-441, Feb. 2003.
50. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1999.
51. T. L. Rusch, R. Sankar, and J. E. Scharf, "Signal processing methods for pulse oximetry," Comput. Biol. Med., vol. 26, no. 2, pp. 143-159, Mar. 1996.
52. P. Adelson and P. Kochanek, "Head injury in children," J. Child Neurol., vol. 13, no. 1, pp. 2-15, 1998.
53. J. F. Kraus, A. Rock, and P. Hemyari, "Brain injuries among infants, children, adolescents, and young adults," Amer. J. Diseases Children, vol. 144, pp. 684-691, Jun. 1990.
54. T. G. Luerssen, "Intracranial pressure: Current status in monitoring and management," Seminars Pediatric Neurol., vol. 4, no. 3, pp. 146-155, Sep. 1997.
55. H. D. Portnoy, M. Chopp, C. Branch, and M. S. Shannon, "Cerebrospinal fluid pulse waveform as an indicator of cerebral autoregulation," J. Neurosurg., vol. 56, no. 5, pp. 666-678, May 1982.
56. M. Balestreri, M. Czosnyka, L. Steiner, E. Schmidt, P. Smielewski, B. Matta, and J. Pickard, "Intracranial hypertension: What additional information can be derived from ICP waveform after head injury?," Acta Neurochir. (Wien), vol. 146, no. 2, pp. 131-141, Feb. 2004.
57. E. R. Cardoso, J. O. Rowan, and S. Galbraith, "Analysis of the cerebrospinal fluid pulse wave in intracranial pressure," J. Neurosurg., vol. 59, no. 5, pp. 817-821, 1983.
58. T. Ellis, J. McNames, and B. Goldstein, "Residual pulse morphology visualization and analysis in pressure signals," in Proc. 27th Annu. Int. Conf. Eng. Med. Biol. Soc., Sep. 2005, pp. 2966-2969.
59. C. Wiesenack, C. Fiegl, A. Keyser, C. Prasser, and C. Keyl, "Assessment of fluid responsiveness in mechanically ventilated cardiac surgical patients," Eur. J. Anaesthesiol., vol. 22, no. 9, pp. 658-65, Sep. 2005.
60. D. Austin, C. Staats, and M. Aboy, "A novel approach to pulse pressure variation estimation," in Proc. IEEE Eng. Med. Biol. Conf., Sep. 2006, pp. 1391-1393.