Skip to main content
SpringerLink
Log in

Noninvasive Localization of Ectopic Foci: A New Optimization Approach for Simultaneous Reconstruction of Transmembrane Voltages and Epicardial Potentials

  • Conference paper
Functional Imaging and Modeling of the Heart (FIMH 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7945))

Abstract

The goal of ECG imaging is the reconstruction of cardiac electrical activities from the potentials measured on the thorax surface. The tool can gain prominent clinical value for diagnosis and pre-interventional planning. The problem is however ill-posed, i.e. it is highly sensitive to modelling and measurement errors. In order to overcome this obstacle a regularization technique must be applied. In this paper we propose a new optimization based method for simultaneous reconstruction of transmembrane voltages and epicardial potentials for localizing the origin of ventricular ectopic beats.

Compared to second-order Tikhonov regularization, the new approach showed superior performance in marking activated regions and provided meaningful results where Tikhonov method failed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. MacLeod, R.S., Brooks, D.H.: Recent progress in inverse problems in electrocardiology. IEEE Eng. Med. Biol. 17, 73–83 (1998)

    Article  Google Scholar 

  2. Dössel, O.: Inverse problem of electro- and magnetocardiography: Review and recent progress. Int. J. Bioelectromagnetism 2 (2000)

    Google Scholar 

  3. Jordan, P.N., Christini, D.J.: Therapies for ventricular cardiac arrhythmias. Crit. Rev. Biomed. Eng. 33, 557–604 (2005)

    Article  Google Scholar 

  4. Pullan, A.J., Cheng, L.K., Nash, M.P., Ghodrati, A., MacLeod, R., Brooks, D.H.: The Inverse Problem of Electrocardiography. In: Comprehensive Electrocardiology, pp. 299–344. Springer, London (2011)

    Google Scholar 

  5. Greensite, F.: Well-posed formulation of the inverse problem of electrocardiography. Ann. Biomed. Eng. 22, 172–183 (1994)

    Article  Google Scholar 

  6. Keller, D.U.J., Weber, F.M., Seemann, G., Dössel, O.: Ranking the influence of tissue conductivities on forward-calculated ECGs. IEEE Trans. Biomed. Eng. 57, 1568–1576 (2010)

    Article  Google Scholar 

  7. Ramanathan, C., Rudy, Y.: Electrocardiographic imaging: I. effect of torso inhomogeneities on body surface electrocardiographic potentials. J. Cardiovasc. Electr. 12, 229–240 (2001)

    Article  Google Scholar 

  8. Ramanathan, C., Rudy, Y.: Electrocardiographic imaging: II. effect of torso inhomogeneities on noninvasive reconstruction of epicardial potentials, electrograms, and isochrones. J. Cardiovasc. Electr. 12, 241–252 (2001)

    Article  Google Scholar 

  9. Geselowitz, D.B., Miller, T.W.: A bidomain model for anisotropic cardiac muscle. Ann. Biomed. Eng. 11, 191–206 (1983)

    Article  Google Scholar 

  10. Gulrajani, R.: Bioelectricity and biomagnetism. John Wiley&Sons, Inc. (1998)

    Google Scholar 

  11. Tikhonov, A.N., Arsenin, V.Y.: Solutions of ill-posed problem. Winston&Sons, New York (1977)

    Google Scholar 

  12. Burger, M., Mardal, K.A., Nielsen, B.F.: Stability analysis of the inverse transmembrane potential problem in electrocardiography. Inverse Problems 26, 105012 (2010)

    Article  MathSciNet  Google Scholar 

  13. Wang, D., Kirby, R., MacLeod, R., Johnson, C.: An optimization framework for inversely estimating myocardial transmembrane potentials and localizing ischemia. In: Conf. Proc. IEEE Eng. Med. Biol. Soc., pp. 1680–1683 (2011)

    Google Scholar 

  14. CVX Research, I.: CVX: Matlab software for disciplined convex programming, version 2.0 beta (2012)

    Google Scholar 

  15. Ahmad, G.F., Brooks, D.H., MacLeod, R.S.: An admissible solution approach to inverse electrocardiography. Ann. Biomed. Eng. 26, 278–292 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Biomedical Engineering, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

    Danila Potyagaylo, Max Segel, Walther H. W. Schulze & Olaf Dössel

Authors
  1. Danila Potyagaylo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Max Segel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Walther H. W. Schulze
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Olaf Dössel
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Centre for Medical Image Computing, University College London, Front Engineering Building, Malet Place, WC1E 6BT, London, UK

    Sébastien Ourselin

  2. Department of Computing, Imperial College London, 180 Queen’s Gate, SW7 2AZ, London, UK

    Daniel Rueckert

  3. Imaging Sciences & Biomedical Division, St. Thomas Hospital, King’s College London, St. Thomas Hospital, SE1 7EH, London, UK

    Nicolas Smith

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Potyagaylo, D., Segel, M., Schulze, W.H.W., Dössel, O. (2013). Noninvasive Localization of Ectopic Foci: A New Optimization Approach for Simultaneous Reconstruction of Transmembrane Voltages and Epicardial Potentials. In: Ourselin, S., Rueckert, D., Smith, N. (eds) Functional Imaging and Modeling of the Heart. FIMH 2013. Lecture Notes in Computer Science, vol 7945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38899-6_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38899-6_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38898-9

  • Online ISBN: 978-3-642-38899-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation