Optimization of the Electrode Positions of Multichannel ECG for the Reconstruction of Ischemic Areas by Solving the Inverse Electrocardiographic Problem

Myocardial ischemia is one of the leading causes of morbidity and mortality in the western countries. It is of importance to efficiently and accurately detect and localize ischemia in the early stage. The solution of the inverse problem of electrocardiography provides a promising noninvasive approach for the localization of ischemic areas. However, the general electrode configuration of multichannel ECG utilized in the inverse problem is not optimized for this application. In the present investigation 153 ischemic areas of different sizes and at various sites in the entire left ventricle are simulated with a cellular automaton and the corresponding body surface potentials are computed using the finite element method. The body surface potential distributions in ST-interval of different myocardial ischemic areas are analyzed using singular value decomposition in order to determine the optimal electrode configuration of multichannel ECG for the reconstruction of ischemia by solving the inverse problem. The inverse problem is solved using the classical Tikhonov regularization and the maximum a posteriori based regularization. The reconstructions from the ECGs recorded by the optimized electrode configuration show significant improvement over those from the previous configuration.

[1]  C Gabriel,et al.  The dielectric properties of biological tissues: I. Literature survey. , 1996, Physics in medicine and biology.

[2]  Yesim Serinagaoglu,et al.  Spatio-Temporal Solutions in Inverse Electrocardiography , 2009 .

[3]  D. Geselowitz,et al.  Simulation Studies of the Electrocardiogram: I. The Normal Heart , 1978, Circulation research.

[4]  Olaf Dössel,et al.  Modeling of cardiac ischemia in human myocytes and tissue including spatiotemporal electrophysiological variations / Modellierung kardialer Ischämie in menschlichen Myozyten und Gewebe , 2009, Biomedizinische Technik. Biomedical engineering.

[5]  S. Usui,et al.  Wigner distribution analysis of BSPM for optimal sampling , 1990, IEEE Engineering in Medicine and Biology Magazine.

[6]  R. W. Lau,et al.  The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz. , 1996, Physics in medicine and biology.

[7]  Leslie Tung,et al.  A bi-domain model for describing ischemic myocardial d-c potentials , 1978 .

[8]  Fred S Apple,et al.  Future biomarkers for detection of ischemia and risk stratification in acute coronary syndrome. , 2005, Clinical chemistry.

[9]  Jeroen G Stinstra,et al.  Mechanism for ST Depression Associated with Contiguous Subendocardial Ischemia , 2004, Journal of cardiovascular electrophysiology.

[10]  O. Dossel,et al.  Optimization of electrode positions for multichannel electrocardiography with respect to electrical imaging of the heart , 1998, Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286).

[11]  O. Dossel,et al.  Reconstruction of Myocardial Infarction Using the Improved Spatio-Temporal MAP-based Regularization , 2007, 2007 Joint Meeting of the 6th International Symposium on Noninvasive Functional Source Imaging of the Brain and Heart and the International Conference on Functional Biomedical Imaging.

[12]  D. Noble,et al.  A model for human ventricular tissue. , 2004, American journal of physiology. Heart and circulatory physiology.

[13]  Bernhard Pfeifer,et al.  Sensitivity- and Effort-Gain Analysis: Multilead ECG Electrode Array Selection for Activation Time Imaging , 2006, IEEE Transactions on Biomedical Engineering.

[14]  Dana H. Brooks,et al.  Improved Performance of Bayesian Solutions for Inverse Electrocardiography Using Multiple Information Sources , 2006, IEEE Transactions on Biomedical Engineering.

[15]  R. Christenson,et al.  Biomarkers of ischemia in patients with known coronary artery disease: do interleukin-6 and tissue factor measurements during dobutamine stress echocardiography give additional insight? , 2005, Circulation.

[16]  D. Farina,et al.  Model-based approach to the localization of infarction , 2007, 2007 Computers in Cardiology.

[17]  M. Cerqueira,et al.  Standardized myocardial segmentation and nomenclature for tomographic imaging of the heart: A statement for healthcare professionals from the Cardiac Imaging Committee of the Council on Clinical Cardiology of the American Heart Association , 2002, The international journal of cardiovascular imaging.

[18]  B. He,et al.  Non-invasive estimation of myocardial infarction by means of a heart-model-based imaging approach: A simulation study , 2006, Medical and Biological Engineering and Computing.

[19]  Olaf Dössel,et al.  Localization of the Origin of Ventricular Premature Beats by Reconstruction of Electrical Sources Using Spatio-Temporal MAP-based Regularization , 2009 .

[20]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[21]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[22]  Aslak Tveito,et al.  On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem , 2007, J. Comput. Phys..

[23]  M. Foster An Application of the Wiener-Kolmogorov Smoothing Theory to Matrix Inversion , 1961 .

[24]  A. Oosterom The use of the spatial covariance in computing pericardial potentials , 1999 .

[25]  N. Trayanova,et al.  Modeling Cardiac Ischemia , 2006, Annals of the New York Academy of Sciences.

[26]  R. Macleod,et al.  Short titles: Inverse Problems in Electrocardiology , 2022 .

[27]  R. W. Lau,et al.  The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues. , 1996, Physics in medicine and biology.

[28]  Joakim Sundnes,et al.  Simulation of ST segment changes during subendocardial ischemia using a realistic 3-D cardiac geometry , 2005, IEEE Transactions on Biomedical Engineering.

[29]  O. Dossel,et al.  The use of the simulation results as a priori information to solve the inverse problem of electrocardiography for a patient , 2005, Computers in Cardiology, 2005.

[30]  B. Trenor,et al.  Electrical activity and reentry in acute regional ischemia: insights from simulations , 2003, Proceedings of the 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (IEEE Cat. No.03CH37439).

[31]  A. van Oosterom,et al.  Simulating ECG changes during acute myocardial ischemia , 2007, 2007 Computers in Cardiology.

[32]  ProblemsPer Christian HansenDepartment The L-curve and its use in the numerical treatment of inverse problems , 2000 .

[33]  R. O. Martin,et al.  Statistically Constrained Inverse Electrocardiography , 1975, IEEE Transactions on Biomedical Engineering.