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The heart's contraction is caused by electrical excitation which propagates through the heart muscle. It was recently shown that the electrical excitation can be computed from the contractile motion of a simulated piece of heart muscle…

Medical Physics · Physics 2023-05-16 Jan Lebert , Daniel Deng , Lei Fan , Lik Chuan Lee , Jan Christoph

Non-invasive assessment of the electrical activation pattern can significantly contribute to the diagnosis and treatment of cardiac arrhythmias, due to faster and safer diagnosis, improved surgical planning and easier follow-up. One…

Medical Physics · Physics 2024-01-09 Nathan Dermul , Hans Dierckx

This work addresses the inverse problem of electrocardiography from a new perspective, by combining electrical and mechanical measurements. Our strategy relies on the defini-tion of a model of the electromechanical contraction which is…

Numerical Analysis · Mathematics 2015-03-24 Cesare Corrado , Jean-Frédéric Gerbeau , Philippe Moireau

Cardiac arrhythmogenesis is governed by complex electromechanical interactions that are not directly observable in vivo, motivating the development of non-invasive computational approaches for reconstructing three-dimensional activation…

Medical Physics · Physics 2026-03-05 Nathan Dermul , Hans Dierckx

Scroll wave chaos is thought to underlie life-threatening ventricular fibrillation. However, currently there is no direct way to measure action potential wave patterns transmurally throughout the thick ventricular heart muscle.…

Tissues and Organs · Quantitative Biology 2023-02-08 Jan Lebert , Meenakshi Mittal , Jan Christoph

Deep neural networks have shown great potential in image reconstruction problems in Euclidean space. However, many reconstruction problems involve imaging physics that are dependent on the underlying non-Euclidean geometry. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2022-10-07 Xiajun Jiang , Sandesh Ghimire , Jwala Dhamala , Zhiyuan Li , Prashnna Kumar Gyawali , Linwei Wang

This work presents a biventricular electromechanical human heart model that is comprehensive and clinically relevant, integrating a realistic 3D heart geometry with both systemic and pulmonary hemodynamics. The model uses a two-way…

Medical Physics · Physics 2025-09-05 Milad Hasani , Alireza Rezania , Sam Riahi

Automated construction of surface geometries of cardiac structures from volumetric medical images is important for a number of clinical applications. While deep-learning-based approaches have demonstrated promising reconstruction precision,…

Image and Video Processing · Electrical Eng. & Systems 2021-09-15 Fanwei Kong , Nathan Wilson , Shawn C. Shadden

The proposed method re-frames traditional inverse problems of electrocardiography into regression problems, constraining the solution space by decomposing signals with multidimensional Gaussian impulse basis functions. Impulse HSPs were…

Quantitative Methods · Quantitative Biology 2021-08-20 Tommy Peng , Avinash Malik , Laura R. Bear , Mark L. Trew

Cardiac digital twins (CDTs) are personalized virtual representations used to understand complex cardiac mechanisms. A critical component of CDT development is solving the ECG inverse problem, which enables the reconstruction of cardiac…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Lei Li , Julia Camps , Blanca Rodriguez , Vicente Grau

The rapid developments in advanced sensing and imaging bring about a data-rich environment, facilitating the effective modeling, monitoring, and control of complex systems. For example, the body-sensor network captures multi-channel…

Machine Learning · Computer Science 2022-02-01 Jianxin Xie , Bing Yao

The Electrocardiograph signal represents the heart's electrical activity while blood pressure results from the heart's mechanical activity. Previous studies have investigated how the heart's electrical and mechanical activities are related…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Seyedeh Somayyeh Mousavi , Mostafa Charmi , Mohammad Firouzmand , Mohammad Hemmati , Maryam Moghadam , Yadollah Ghorbani

The reconstruction of electrical excitation patterns through the unobserved depth of the tissue is essential to realizing the potential of computational models in cardiac medicine. We have utilized experimental optical-mapping recordings of…

Quantitative Methods · Quantitative Biology 2023-09-06 Christopher D. Marcotte , Matthew J. Hoffman , Flavio H. Fenton , Elizabeth M. Cherry

Electrical Impedance Tomography (EIT) is a powerful imaging modality widely used in medical diagnostics, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity distribution of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-11 Alexander Denker , Fabio Margotti , Jianfeng Ning , Kim Knudsen , Derick Nganyu Tanyu , Bangti Jin , Andreas Hauptmann , Peter Maass

The analysis of electrical impulse phenomena in cardiac muscle tissue is important for the diagnosis of heart rhythm disorders and other cardiac pathophysiology. Cardiac mapping techniques acquire local temporal measurements and combine…

Medical Physics · Physics 2022-03-21 Jan Lebert , Namita Ravi , Flavio Fenton , Jan Christoph

Electroanatomical mapping, a keystone diagnostic tool in cardiac electrophysiology studies, can provide high-density maps of the local electric properties of the tissue. It is therefore tempting to use such data to better individualize…

Optimization and Control · Mathematics 2021-02-03 Thomas Grandits , Simone Pezzuto , Jolijn M. Lubrecht , Thomas Pock , Gernot Plank , Rolf Krause

Alterations in the geometry and function of the heart define well-established causes of cardiovascular disease. However, current approaches to the diagnosis of cardiovascular diseases often rely on subjective human assessment as well as…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Carlo Biffi , Ozan Oktay , Giacomo Tarroni , Wenjia Bai , Antonio De Marvao , Georgia Doumou , Martin Rajchl , Reem Bedair , Sanjay Prasad , Stuart Cook , Declan O'Regan , Daniel Rueckert

In this paper we develop theoretical analysis and numerical reconstruction techniques for the solution of an inverse boundary value problem dealing with the nonlinear, time-dependent monodomain equation, which models the evolution of the…

Analysis of PDEs · Mathematics 2017-01-27 Elena Beretta , Cecilia Cavaterra , Maria Cristina Cerutti , Andrea Manzoni , Luca Ratti

The eikonal equation has become an indispensable tool for modeling cardiac electrical activation accurately and efficiently. In principle, by matching clinically recorded and eikonal-based electrocardiograms (ECGs), it is possible to build…

Optimization and Control · Mathematics 2023-12-06 Thomas Grandits , Jan Verhülsdonk , Gundolf Haase , Alexander Effland , Simone Pezzuto

The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numerically modelling the governing equations. This can provide…

Computational Engineering, Finance, and Science · Computer Science 2014-06-09 Nathan Kirk , Alan Benson , Christopher Goodyer , Matthew Hubbard
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