Abstract
The challenge of non-invasive Electrocardiographic Imaging (ECGI) is to re-create the electrical activity of the heart using body surface potentials. Specifically, there are numerical difficulties due to the ill-posed nature of the problem. We propose a novel method based on Conditional Variational Autoencoders using Deep generative Neural Networks to overcome this challenge. By conditioning the electrical activity on heart shape and electrical potentials, our model is able to generate activation maps with good accuracy on simulated data (mean square error, MSE = 0.095). This method differs from other formulations because it naturally takes into account spatio-temporal correlations as well as the imaging substrate through convolutions and conditioning. We believe these features can help improving ECGI results.
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Cedilnik, N., et al.: Fast personalized electrophysiological models from CT images for ventricular tachycardia ablation planning. EP-Europace 20, November 2018
Chamorro-Servent, J., Dubois, R., Potse, M., Coudière, Y.: Improving the spatial solution of electrocardiographic imaging: a new regularization parameter choice technique for the tikhonov method. In: Pop, M., Wright, G.A. (eds.) FIMH 2017. LNCS, vol. 10263, pp. 289–300. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-59448-4_28
Chávez, C.E., Zemzemi, N., Coudière, Y., Alonso-Atienza, F., Álvarez, D.: Inverse problem of electrocardiography: estimating the location of cardiac Ischemia in a 3D realistic geometry. In: van Assen, H., Bovendeerd, P., Delhaas, T. (eds.) FIMH 2015. LNCS, vol. 9126, pp. 393–401. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-20309-6_45
Ghimire, S., Dhamala, J., Gyawali, P.K., Sapp, J.L., Horacek, M., Wang, L.: Generative modeling and inverse imaging of cardiac transmembrane potential. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11071, pp. 508–516. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00934-2_57
Giffard-Roisin, S., et al.: Transfer learning from simulations on a reference anatomy for ECGI in personalised cardiac resynchronization therapy. IEEE Trans. Biomed. Eng. 20 (2018)
Giffard-Roisin, S., et al.: Non-invasive personalisation of a cardiac electrophysiology model from body surface potential mapping. IEEE Trans. Biomed. Eng. 64(9), 2206–2218 (2017)
Hammernik, K., et al.: Learning a variational network for reconstruction of accelerated MRI data. Magn. Reson. Med. 79(6), 3055–3071 (2018)
Higgins, I., et al.: \(\beta \)-vae: Learning basic visual concepts with a constrained variational framework. In: International Conference on Learning Representations (2017)
Kingma, D.P., Welling, M.: Auto-encoding variational bayes. In: Proceedings of the International Conference on Learning Representations (ICLR) (2014)
Kingma, D.P., Mohamed, S., Jimenez Rezende, D., Welling, M.: Semi-supervised learning with deep generative models. In: Ghahramani, Z., Welling, M., Cortes, C., Lawrence, N.D., Weinberger, K.Q. (eds.) Advances in Neural Information Processing Systems, vol. 27, pp. 3581–3589. Curran Associates, Inc. (2014)
Ramanathan, C., Rudy, Y.: Electrocardiographic imaging: effect of torso inhomogeneities on noninvasive reconstruction of epicardial potentials, electrograms, and isochrones. J. Cardiovasc. Electrophysiol. 12, 241–252 (2001)
Sermesant, M., Coudière, Y., Moreau-Villéger, V., Rhode, K.S., Hill, D.L.G., Razavi, R.S.: A fast-marching approach to cardiac electrophysiology simulation for XMR interventional imaging. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 607–615. Springer, Heidelberg (2005). https://doi.org/10.1007/11566489_75
Zemzemi, N., et al.: Effect of the torso conductivity heterogeneities on the ECGI inverse problem solution. In: Computing in Cardiology, Nice, France, September 2015
Acknowledgements
The research leading to these results has received European funding from the ERC starting grant ECSTATIC (715093) and French funding from the National Research Agency grant IHU LIRYC (ANR-10-IAHU-04).
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Bacoyannis, T., Krebs, J., Cedilnik, N., Cochet, H., Sermesant, M. (2019). Deep Learning Formulation of ECGI for Data-Driven Integration of Spatiotemporal Correlations and Imaging Information. In: Coudière, Y., Ozenne, V., Vigmond, E., Zemzemi, N. (eds) Functional Imaging and Modeling of the Heart. FIMH 2019. Lecture Notes in Computer Science(), vol 11504. Springer, Cham. https://doi.org/10.1007/978-3-030-21949-9_3
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