Skip to main content

2018 | OriginalPaper | Buchkapitel

Cardiac Pulse Modeling Using a Modified van der Pol Oscillator and Genetic Algorithms

verfasst von : Fabián M. Lopez-Chamorro, Andrés F. Arciniegas-Mejia, David Esteban Imbajoa-Ruiz, Paul D. Rosero-Montalvo, Pedro García, Andrés Eduardo Castro-Ospina, Antonio Acosta, Diego Hernán Peluffo-Ordóñez

Erschienen in: Bioinformatics and Biomedical Engineering

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper proposes an approach for modeling cardiac pulses from electrocardiographic signals (ECG). A modified van der Pol oscillator model (mvP) is analyzed, which, under a proper configuration, is capable of describing action potentials, and, therefore, it can be adapted for modeling a normal cardiac pulse. Adequate parameters of the mvP system response are estimated using non-linear dynamics methods, like dynamic time warping (DTW). In order to represent an adaptive response for each individual heartbeat, a parameter tuning optimization method is applied which is based on a genetic algorithm that generates responses that morphologically resemble real ECG. This feature is particularly relevant since heartbeats have intrinsically strong variability in terms of both shape and length. Experiments are performed over real ECG from MIT-BIH arrhythmias database. The application of the optimization process shows that the mvP oscillator can be used properly to model the ideal cardiac rate pulse.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Bayar, N., Çay, H.F., Erkal, Z., Sezer, İ., Arslan, Ş., Çağırcı, G., Çay, S., Yüksel, İ.Ö., Köklü, E.: The importance of fragmented QRS in the early detection of cardiac involvement in patients with systemic sclerosis. Anatol. J. Cardiol. 15(3), 209–212 (2015)CrossRef Bayar, N., Çay, H.F., Erkal, Z., Sezer, İ., Arslan, Ş., Çağırcı, G., Çay, S., Yüksel, İ.Ö., Köklü, E.: The importance of fragmented QRS in the early detection of cardiac involvement in patients with systemic sclerosis. Anatol. J. Cardiol. 15(3), 209–212 (2015)CrossRef
2.
Zurück zum Zitat Dodo-Siddo, M., Sarr, S., Ndiaye, M., Bodian, M., Ndongo, S., et al.: Importance of electrocardiogram for detection of preclinical abnormalities in patients with rheumatoid arthritis without cardiovascular events. J. Arthritis 4(155), 2 (2015) Dodo-Siddo, M., Sarr, S., Ndiaye, M., Bodian, M., Ndongo, S., et al.: Importance of electrocardiogram for detection of preclinical abnormalities in patients with rheumatoid arthritis without cardiovascular events. J. Arthritis 4(155), 2 (2015)
3.
Zurück zum Zitat Zuluaga-Ríos, C.D., Álvarez-López, M.A., Orozco-Gutiérrez, Á.A.: A comparison of robust kalman filtering methods for artifact correction in heart rate variability analysis. Tecno. Lógicas 18(34), 25–35 (2015)CrossRef Zuluaga-Ríos, C.D., Álvarez-López, M.A., Orozco-Gutiérrez, Á.A.: A comparison of robust kalman filtering methods for artifact correction in heart rate variability analysis. Tecno. Lógicas 18(34), 25–35 (2015)CrossRef
4.
Zurück zum Zitat González-Barajas, J.E., Velandia-Cárdenas, C., Nieto-Camacho, J.: Implementation of real-time digital filter for the R wave detection. Tecno. Lógicas 18(34), 75–86 (2015)CrossRef González-Barajas, J.E., Velandia-Cárdenas, C., Nieto-Camacho, J.: Implementation of real-time digital filter for the R wave detection. Tecno. Lógicas 18(34), 75–86 (2015)CrossRef
5.
Zurück zum Zitat Castro-Ospina, A., Castro-Hoyos, C., Peluffo-Ordonez, D., Castellanos-Dominguez, G.: Novel heuristic search for ventricular arrhythmia detection using normalized cut clustering. In: 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 7076–7079. IEEE (2013) Castro-Ospina, A., Castro-Hoyos, C., Peluffo-Ordonez, D., Castellanos-Dominguez, G.: Novel heuristic search for ventricular arrhythmia detection using normalized cut clustering. In: 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 7076–7079. IEEE (2013)
6.
Zurück zum Zitat Rodríguez-Sotelo, J.L., Peluffo-Ordonez, D., Cuesta-Frau, D., Castellanos-Domínguez, G.: Unsupervised feature relevance analysis applied to improve ECG heartbeat clustering. Comput. Methods Programs Biomed. 108(1), 250–261 (2012)CrossRef Rodríguez-Sotelo, J.L., Peluffo-Ordonez, D., Cuesta-Frau, D., Castellanos-Domínguez, G.: Unsupervised feature relevance analysis applied to improve ECG heartbeat clustering. Comput. Methods Programs Biomed. 108(1), 250–261 (2012)CrossRef
7.
Zurück zum Zitat Abawajy, J.H., Kelarev, A., Chowdhury, M.: Multistage approach for clustering and classification of ECG data. Comput. Methods Programs Biomed. 112(3), 720–730 (2013)CrossRef Abawajy, J.H., Kelarev, A., Chowdhury, M.: Multistage approach for clustering and classification of ECG data. Comput. Methods Programs Biomed. 112(3), 720–730 (2013)CrossRef
8.
Zurück zum Zitat Moody, G.B., Mark, R.G.: The MIT-BIH arrhythmia database on CD-ROM and software for use with it. In: 1990 Proceedings of the Computers in Cardiology, pp. 185–188. IEEE (1990) Moody, G.B., Mark, R.G.: The MIT-BIH arrhythmia database on CD-ROM and software for use with it. In: 1990 Proceedings of the Computers in Cardiology, pp. 185–188. IEEE (1990)
9.
Zurück zum Zitat Jovic, A., Bogunovic, N.: Feature extraction for ECG time-series mining based on chaos theory. In: 29th International Conference on Information Technology Interfaces, ITI 2007, pp. 63–68. IEEE (2007) Jovic, A., Bogunovic, N.: Feature extraction for ECG time-series mining based on chaos theory. In: 29th International Conference on Information Technology Interfaces, ITI 2007, pp. 63–68. IEEE (2007)
10.
Zurück zum Zitat Acharya, R., Faust, O., Kannathal, N., Chua, T., Laxminarayan, S.: Non-linear analysis of EEG signals at various sleep stages. Comput. Methods Programs Biomed. 80(1), 37–45 (2005)CrossRef Acharya, R., Faust, O., Kannathal, N., Chua, T., Laxminarayan, S.: Non-linear analysis of EEG signals at various sleep stages. Comput. Methods Programs Biomed. 80(1), 37–45 (2005)CrossRef
11.
Zurück zum Zitat Faust, O., Acharya, U.R., Molinari, F., Chattopadhyay, S., Tamura, T.: Linear and non-linear analysis of cardiac health in diabetic subjects. Biomed. Sig. Process. Control 7(3), 295–302 (2012)CrossRef Faust, O., Acharya, U.R., Molinari, F., Chattopadhyay, S., Tamura, T.: Linear and non-linear analysis of cardiac health in diabetic subjects. Biomed. Sig. Process. Control 7(3), 295–302 (2012)CrossRef
12.
Zurück zum Zitat Peluffo-Ordóñez, D., Rodríguez-Sótelo, J., Revelo-Fuelagán, E., Ospina-Aguirre, C., Olivard-Tost, G.: Generalized Bonhoeffer-van der Pol oscillator for modelling cardiac pulse: preliminary results. In: 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC), pp. 1–6. IEEE (2015) Peluffo-Ordóñez, D., Rodríguez-Sótelo, J., Revelo-Fuelagán, E., Ospina-Aguirre, C., Olivard-Tost, G.: Generalized Bonhoeffer-van der Pol oscillator for modelling cardiac pulse: preliminary results. In: 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC), pp. 1–6. IEEE (2015)
13.
Zurück zum Zitat Fitzhugh, R.: Impulses and physiological states in theoretical models nerve membrane. Biophys. J. 1(6), 445–466 (1961)CrossRef Fitzhugh, R.: Impulses and physiological states in theoretical models nerve membrane. Biophys. J. 1(6), 445–466 (1961)CrossRef
14.
Zurück zum Zitat Ferreira, B.B., Savi, M.A., de Paula, A.S.: Chaos control applied to cardiac rhythms represented by ECG signals. Phys. Scripta 89(10), 105–203 (2014) Ferreira, B.B., Savi, M.A., de Paula, A.S.: Chaos control applied to cardiac rhythms represented by ECG signals. Phys. Scripta 89(10), 105–203 (2014)
15.
Zurück zum Zitat Sato, S., Nomura, T., et al.: Bonhoeffer-van der Pol oscillator model of the sino-atrial node: a possible mechanism of heart rate regulation. Methods Inf. Med. 33(1), 116–119 (1994)CrossRef Sato, S., Nomura, T., et al.: Bonhoeffer-van der Pol oscillator model of the sino-atrial node: a possible mechanism of heart rate regulation. Methods Inf. Med. 33(1), 116–119 (1994)CrossRef
16.
Zurück zum Zitat Cuesta-Frau, D., Micó-Tormos, P., Aboy, M., Biagetti, M.O., Austin, D., Quinteiro, R.A.: Enhanced modified moving average analysis of T-wave alternans using a curve matching method: a simulation study. Med. Biol. Eng. Comput. 47(3), 323–331 (2009)CrossRef Cuesta-Frau, D., Micó-Tormos, P., Aboy, M., Biagetti, M.O., Austin, D., Quinteiro, R.A.: Enhanced modified moving average analysis of T-wave alternans using a curve matching method: a simulation study. Med. Biol. Eng. Comput. 47(3), 323–331 (2009)CrossRef
17.
Zurück zum Zitat van der Pol Jun, B.: LXXXVIII. On relaxation-oscillations. Lond. Edinb. Dublin Philos. Mag. J. Sc. 2(11), 978–992 (1926)CrossRef van der Pol Jun, B.: LXXXVIII. On relaxation-oscillations. Lond. Edinb. Dublin Philos. Mag. J. Sc. 2(11), 978–992 (1926)CrossRef
18.
Zurück zum Zitat Grudziński, K., Żebrowski, J.J.: Modeling cardiac pacemakers with relaxation oscillators. Phys. A: Stat. Mech. Appl. 336(1), 153–162 (2004)MathSciNetCrossRef Grudziński, K., Żebrowski, J.J.: Modeling cardiac pacemakers with relaxation oscillators. Phys. A: Stat. Mech. Appl. 336(1), 153–162 (2004)MathSciNetCrossRef
Metadaten
Titel
Cardiac Pulse Modeling Using a Modified van der Pol Oscillator and Genetic Algorithms
verfasst von
Fabián M. Lopez-Chamorro
Andrés F. Arciniegas-Mejia
David Esteban Imbajoa-Ruiz
Paul D. Rosero-Montalvo
Pedro García
Andrés Eduardo Castro-Ospina
Antonio Acosta
Diego Hernán Peluffo-Ordóñez
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-78723-7_8