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Finite Element Method for Forward ECG Calculation

Computational Mathematics and Mathematical Physics volume 59, pages 2033–2040 (2019)Cite this article

Abstract

Surgical interventions for treatment of cardiovascular diseases require accurate planning, which takes into account information about patients anatomy and heart activity. The activity of the heart is commonly monitored using a non-invasive electrocardiography (ECG) method. The results of personalized numerical modeling of ECG can be used to make the treatment planning more effective. In this paper we present a method for forward ECG modeling with the use of personalized torso model. We use texture-based analysis of patients computed tomography (CT) scans for obtaining the anatomical models of abdominal organs and investigate the influence of each organ on the simulation results. We present and analyze the detailed mathematical problem and its weak formulation. Also we propose a method for acceleration of ECG numerical modeling.

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Funding

The research was supported by RFBR grants 17-01-00886 and 18-00-01524 (18-00-01661).

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Authors and Affiliations

  1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia

    A. A. Danilov

  2. Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Moscow Region, Russia

    A. A. Danilov

  3. Institute of Personalized Medicine, Sechenov University, 119991, Moscow, Russia

    A. A. Danilov & A. S. Yurova

Authors
  1. A. A. Danilov
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  2. A. S. Yurova
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Correspondence to A. A. Danilov or A. S. Yurova.

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Danilov, A.A., Yurova, A.S. Finite Element Method for Forward ECG Calculation. Comput. Math. and Math. Phys. 59, 2033–2040 (2019). https://doi.org/10.1134/S0965542519120054

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  • DOI: https://doi.org/10.1134/S0965542519120054

Keywords:

  • forward ECG modeling
  • personalized anatomical models
  • abdomen segmentation
  • texture analysis