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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 12, Pages 2102–2110 (Mi zvmmf11000)

This article is cited in 4 papers

Finite element method for forward ECG calculation

A. A. Danilovabc, A. S. Yurovac

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333 Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141701 Russia
c Institute of Personalized Medicine, Sechenov University, Moscow, 119991 Russia

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.

Key words: forward ECG modeling, personalized anatomical models, abdomen segmentation, texture analysis.

UDC: 517.96

Received: 26.06.2019
Revised: 29.07.2019
Accepted: 05.08.2019

DOI: 10.1134/S0044466919120056


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:12, 2033–2040

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