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Related papers: PIEMAP: Personalized Inverse Eikonal Model from ca…

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Noninvasive reconstruction of cardiac transmembrane potential (TMP) from surface electrocardiograms (ECG) involves an ill-posed inverse problem. Model-constrained regularization is powerful for incorporating rich physiological knowledge…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Sandesh Ghimire , Jwala Dhamala , Prashnna Kumar Gyawali , John L Sapp , B. Milan Horacek , Linwei Wang

Objective: The Mapper algorithm is a qualitative method in topological data analysis that constructs graphs from point clouds by combining dimensionality reduction and clustering techniques. The aim of this study is to apply Mapper,…

Quantitative Methods · Quantitative Biology 2026-04-22 Aina Ferrà Marcús , Carles Casacuberta , Josep Vives , Joan Guich , Gerard Amorós-Figueras , Jose M. Guerra

Background and Objective: Data from electro-anatomical mapping (EAM) systems are playing an increasingly important role in computational modeling studies for the patient-specific calibration of digital twin models. However, data exported…

Virtual heart models have been proposed to enhance the safety of implantable cardiac devices through closed loop validation. To communicate with a virtual heart, devices have been driven by cardiac signals at specific sites. As a result,…

Systems and Control · Computer Science 2017-03-06 Weiwei Ai , Nitish Patel , Partha Roop , Avinash Malik , Nathan Allen , Mark L. Trew

Echocardiography is an essential medical technique for diagnosing cardiovascular diseases, but its high operational complexity has led to a shortage of trained professionals. To address this issue, we introduce a novel probe movement…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Haojun Jiang , Teng Wang , Zhenguo Sun , Yulin Wang , Yang Yue , Yu Sun , Ning Jia , Meng Li , Shaqi Luo , Shiji Song , Gao Huang

A method is presented for the registration and correlation of intrinsic property maps of materials, including data from nanoindentation hardness, Electron Back-Scattered Diffraction (EBSD), Electron Micro-Probe Analysis (EPMA). This highly…

Materials Science · Physics 2021-01-05 C. M. Magazzeni , H. M. Gardner , I. Howe , P. Gopon , J. C. Waite , D. Rugg , D. E. J. Armstrong , A. J. Wilkinson

The realisation of precision cardiology requires novel techniques for the non-invasive characterisation of individual patients' cardiac function to inform therapeutic and diagnostic decision-making. The electrocardiogram (ECG) is the most…

Tissues and Organs · Quantitative Biology 2021-12-09 Julia Camps , Brodie Lawson , Christopher Drovandi , Ana Minchole , Zhinuo Jenny Wang , Vicente Grau , Kevin Burrage , Blanca Rodriguez

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

Cardiac motion estimation is critical to the assessment of cardiac function. Myocardium feature tracking (FT) can directly estimate cardiac motion from cine MRI, which requires no special scanning procedure. However, current deep…

Image and Video Processing · Electrical Eng. & Systems 2020-08-19 Pingjun Chen , Xiao Chen , Eric Z. Chen , Hanchao Yu , Terrence Chen , Shanhui Sun

Mathematical models of cardiac electrical activity are one of the most important tools for elucidating information about the heart diagnostic. Even though it is one of the major problems in biomedical research, an efficient mathematical…

Cardiac parametric mapping is useful for evaluating cardiac fibrosis and edema. Parametric mapping relies on single-shot heartbeat-by-heartbeat imaging, which is susceptible to intra-shot motion during the imaging window. However, reducing…

Image and Video Processing · Electrical Eng. & Systems 2025-03-25 Calder D. Sheagren , Brenden T. Kadota , Jaykumar H. Patel , Mark Chiew , Graham A. Wright

The cardiovascular system is composed of the heart, blood and blood vessels. Regarding the heart, cardiac conditions are determined by the electrocardiogram, that is a noninvasive medical procedure. In this work, we propose autoregressive…

An electrocardiogram (EKG) is a common, non-invasive test that measures the electrical activity of a patient's heart. EKGs contain useful diagnostic information about patient health that may be absent from other electronic health record…

Machine Learning · Statistics 2018-12-04 Andrew C. Miller , Ziad Obermeyer , David M. Blei , John P. Cunningham , Sendhil Mullainathan

A path integral Monte Carlo method (PIMC) based on Feynman-Kac formula for mixed boundary conditions of elliptic equations is proposed to solve the forward problem of electrical impedance tomography (EIT) on the boundary to obtain…

Numerical Analysis · Mathematics 2019-08-01 Yijing Zhou , Wei Cai

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

A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step of the reconstruction of the values of the…

Analysis of PDEs · Mathematics 2015-06-25 Sarah Jane Hamilton , Matti Lassas , Samuli Siltanen

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

The Extracellular-Membrane-Intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The EMI model provides a more detailed description of the heart's electrical activity compared to traditional…

Numerical Analysis · Mathematics 2025-04-29 Carlos Ballesteros , Alexei Cheviakov , Raymond J. Spiteri

Simulations of Cardiac Electrophysiology are gaining momentum beyond basic mechanistic studies, as an approach for supporting clinical decision making. The potential for in silico technologies observed from the research community is…

Numerical Analysis · Mathematics 2025-10-22 Paolo Seghetti , Matthias Gsell , Anton Prassk , Martin Bishop , Gernot Plank

Electroanatomic mapping as routinely acquired in ablation therapy of ventricular tachycardia is the gold standard method to identify the arrhythmogenic substrate. To reduce the acquisition time and still provide maps with high spatial…