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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

The inverse mechano-electrical problem in cardiac electrophysiology is the attempt to reconstruct electrical excitation or action potential wave patterns from the heart's mechanical deformation that occurs in response to electrical…

Image and Video Processing · Electrical Eng. & Systems 2021-11-10 Jan Christoph , Jan Lebert

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

A method is presented for estimating and reconstructing the sound field within a room using physics-informed neural networks. By incorporating a limited set of experimental room impulse responses as training data, this approach combines…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Xenofon Karakonstantis , Diego Caviedes-Nozal , Antoine Richard , Efren Fernandez-Grande

Recently deep learning and machine learning approaches have been widely employed for various applications in acoustics. Nonetheless, in the area of sound field processing and reconstruction classic methods based on the solutions of wave…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-07 Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

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

Blood flow is sensitive to disease and provides insight into cardiac function, making flow field analysis valuable for diagnosis. However, while safer than radiation-based imaging and more suitable for patients with medical implants,…

Machine Learning · Computer Science 2025-11-04 Viraj Patel , Lisa Kreusser , Katharine Fraser

Cardiac magnetic resonance imaging (MRI) requires reconstructing a real-time video of a beating heart from continuous highly under-sampled measurements. This task is challenging since the object to be reconstructed (the heart) is…

Image and Video Processing · Electrical Eng. & Systems 2024-01-12 Johannes F. Kunz , Stefan Ruschke , Reinhard Heckel

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

Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

Fluid Dynamics · Physics 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

Electroanatomical maps are a key tool in the diagnosis and treatment of atrial fibrillation. Current approaches focus on the activation times recorded. However, more information can be extracted from the available data. The fibers in…

Physics-Informed Neural Networks (PINNs) are fast becoming an important tool to solve differential equations rapidly and accurately, and to identify the systems parameters that best agree with a given set of measurements. PINNs have been…

Active stress models in cardiac biomechanics account for the mechanical deformation caused by muscle activity, thus providing a link between the electrophysiological and mechanical properties of the tissue. The accurate assessment of active…

We propose FiberNet, a method to estimate \emph{in-vivo} the cardiac fiber architecture of the human atria from multiple catheter recordings of the electrical activation. Cardiac fibers play a central role in the electro-mechanical function…

Image and Video Processing · Electrical Eng. & Systems 2022-07-25 Carlos Ruiz Herrera , Thomas Grandits , Gernot Plank , Paris Perdikaris , Francisco Sahli Costabal , Simone Pezzuto

Mathematical methods of step-by-step and combined shifts are proposed for experimental data processing to reconstruct the measuring system impulse response distorted by shift-invariant blur. Proposed methods base on direct non-blind…

Signal Processing · Electrical Eng. & Systems 2019-01-24 Andrey V. Novikov-Borodin

Predicting measurement outcomes from an underlying structure often follows directly from fundamental physical principles. However, a fundamental challenge is posed when trying to solve the inverse problem of inferring the underlying…

Ultrasonic guided wave technology has played a significant role in the field of non-destructive testing as it employs acoustic waves that have advantages of high propagation efficiency and low energy consumption during the inspect process.…

Computational Engineering, Finance, and Science · Computer Science 2020-09-15 Qi Li , Yihui Da , Yinghong Zhang , Bin Wang , Dianzi Liu , Zhenghua Qian

Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often computationally unfeasible due to the severe ill-posedness…

Numerical Analysis · Mathematics 2026-05-05 Edoardo Centofanti , Giovanni Ziarelli , Simone Scacchi , Luca Franco Pavarino

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

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
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