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Meshfree methods for in silico modelling and simulation of cardiac electrophysiology are gaining more and more popularity. These methods do not require a mesh and are more suitable than the Finite Element Method (FEM) to simulate the…

Numerical Analysis · Mathematics 2021-11-17 Konstantinos A. Mountris , Leiting Dong , Yue Guan , Satya N. Atluri , Esther Pueyo

Volume conductor problems in cerebral electrophysiology and bioimpedance do not have analytical solutions for nontrivial geometries and require a 3D model of the head and its electrical properties for solving the associated PDEs…

Medical Physics · Physics 2021-11-02 Fernando S Moura , Roberto G Beraldo , Leonardo A Ferreira , Samuli Siltanen

Background: How can mathematics help us to understand the mechanism of the cardiac motion? The best known approach is to take a mathematical model of the fibered structure, insert it into a more-or-less complex model of cardiac…

Medical Physics · Physics 2014-06-25 Saeed Ranjbar , Mersedeh Karvandi

Patient-specific cardiac modeling combines geometries of the heart derived from medical images and biophysical simulations to predict various aspects of cardiac function. However, generating simulation-suitable models of the heart from…

Image and Video Processing · Electrical Eng. & Systems 2023-11-09 Fanwei Kong , Shawn Shadden

Electrocardiogram (ECG) is an authoritative source to diagnose and counter critical cardiovascular syndromes such as arrhythmia and myocardial infarction (MI). Current machine learning techniques either depend on manually extracted features…

Machine Learning · Computer Science 2021-07-22 Zeeshan Ahmad , Anika Tabassum , Ling Guan , Naimul Khan

Cardiac diseases are one of the main reasons of mortality in modern, industrialized societies, and they cause high expenses in public health systems. Therefore, it is important to develop analytical methods to improve cardiac diagnostics.…

Medical Physics · Physics 2023-06-28 Onder Pekcan , Taner Arsan

Accurate 3D cardiac reconstruction from cine magnetic resonance imaging (cMRI) is crucial for improved cardiovascular disease diagnosis and understanding of the heart's motion. However, current cardiac MRI-based reconstruction technology…

Image and Video Processing · Electrical Eng. & Systems 2023-08-21 Xiaoxiao He , Chaowei Tan , Ligong Han , Bo Liu , Leon Axel , Kang Li , Dimitris N. Metaxas

Large prospective epidemiological studies acquire cardiovascular magnetic resonance (CMR) images for pre-symptomatic populations and follow these over time. To support this approach, fully automatic large-scale 3D analysis is essential. In…

Image and Video Processing · Electrical Eng. & Systems 2019-07-04 Rahman Attar , Marco Pereanez , Christopher Bowles , Stefan K. Piechnik , Stefan Neubauer , Steffen E. Petersen , Alejandro F. Frangi

Coronary arteries and their branches supply blood to myocardium. The obstruction of coronary arteries results in significant loss of myocardium, called acute myocardial infarction, and the number one cause of death globally. Hence,…

Computational Geometry · Computer Science 2017-08-31 Jehyun Chaa , Joonghyun Ryub , Jin-Ho Choi , Deok-Soo Kim

The human heart is a sophisticated system composed of four cardiac chambers with distinct shapes, which function in a coordinated manner. Existing shape models of the heart mainly focus on the ventricular chambers and they are derived from…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Qiang Ma , Qingjie Meng , Yicheng Wu , Shuo Wang , Mengyun Qiao , Steven Niederer , Declan P. O'Regan , Paul M. Matthews , Wenjia Bai

Electrical Impedance Tomography (EIT) is a functional imaging method that is being developed for bedside use in critical care medicine. Aiming at improving the chest anatomical resolution of EIT images we developed a fuzzy model based on…

Numerical simulations to evaluate thoracic aortic hemodynamics include a computational fluid dynamic (CFD) approach or fluid-structure interaction (FSI) approach. While CFD neglects the arterial deformation along the cardiac cycle by…

The analysis of quantitative hemodynamics and luminal pressure may add valuable information to aid treatment strategies and prognosis for aortic dissections. This work directly compared in vitro 4D-flow magnetic resonance imaging (MRI),…

An important aspect for an improved cardiac functional analysis is the accurate segmentation of the left ventricle (LV). A novel approach for fully-automated segmentation of the LV endocardium and epicardium contours is presented. This is…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Omar S. Al-Kadi

The ability to map left ventricle (LV) myocardial motion using computed tomography angiography (CTA) is essential to diagnosing cardiovascular conditions and guiding interventional procedures. Due to their inherent locality, conventional…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Shahar Zuler , Shai Tejman-Yarden , Dan Raviv

We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the…

Analysis of PDEs · Mathematics 2022-06-01 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

Echocardiogram is the most commonly used imaging modality in cardiac assessment duo to its non-invasive nature, real-time capability, and cost-effectiveness. Despite its advantages, most clinical echocardiograms provide only two-dimensional…

Image and Video Processing · Electrical Eng. & Systems 2025-05-12 Xilin Gong , Yongkai Chen , Shushan Wu , Fang Wang , Ping Ma , Wenxuan Zhong

Our evolving understanding of the heterocellular cardiac environment demands innovative tools for its study. While murine models are lauded for their versatility and accessibility, they are constrained by scale; tools designed for larger…

Biological Physics · Physics 2023-12-12 Gavin Tumlinson , Enaam Chleilat , Josef Madl , Peter Kohl , Viviane Timmermann

Left ventricular (LV) function is an important factor in terms of patient management, outcome, and long-term survival of patients with heart disease. The most recently published clinical guidelines for heart failure recognise that over…

In this paper, we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the forward problem, we show that perfectly insulating regions (modeling ischemic regions in the cardiac tissue) can be…

Analysis of PDEs · Mathematics 2024-07-15 Andrea Aspri , Elena Beretta , Elisa Francini , Dario Pierotti , Sergio Vessella
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