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Related papers: Quaternion-Aligned Electroanatomical Models of the…

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We review some of the latest approaches to analysing cardiac electrophysiology data using machine learning and predictive modelling. Cardiac arrhythmias, particularly atrial fibrillation, are a major global healthcare challenge. Treatment…

Multi-modality cardiac imaging plays a key role in the management of patients with cardiovascular diseases. It allows a combination of complementary anatomical, morphological and functional information, increases diagnosis accuracy, and…

Image and Video Processing · Electrical Eng. & Systems 2022-08-30 Lei Li , Wangbin Ding , Liqun Huang , Xiahai Zhuang , Vicente Grau

While ventricular electromechanics is extensively studied, four-chamber heart models have only been addressed recently; most of these works however neglect atrial contraction. Indeed, as atria are characterized by a complex physiology…

The purpose of this effort is to investigate if the use of quaternion mathematics can be used to better model and simulate the electromagnetic fields that occur from moving electromagnetic charges. One observed deficiency with the commonly…

Classical Physics · Physics 2022-09-30 Matthew David Marko , Joe Schaff

Patient-specific computational models of the heart are powerful tools for cardiovascular research and medicine, with demonstrated applications in treatment planning, device evaluation, and surgical decision-making. Yet constructing such…

Medical Physics · Physics 2026-04-21 Aaron L. Brown , Ju Liu , Daniel B. Ennis , Alison L. Marsden

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

Personalized virtual heart models have demonstrated increasing potential for clinical use, although the estimation of their parameters given patient-specific data remain a challenge. Traditional physics-based modeling approaches are…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Xiajun Jiang , Sumeet Vadhavkar , Yubo Ye , Maryam Toloubidokhti , Ryan Missel , Linwei Wang

Using catheter ablation to treat atrial fibrillation increasingly relies on intracardiac echocardiography (ICE) for an anatomical delineation of the left atrium and the pulmonary veins that enter the atrium. However, it is a challenge to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Haofu Liao , Yucheng Tang , Gareth Funka-Lea , Jiebo Luo , Shaohua Kevin Zhou

Multimodal medical imaging provides complementary information that is crucial for accurate delineation of pathology, but the development of deep learning models is limited by the scarcity of large datasets in which different modalities are…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Arunkumar V , Firos V M , Senthilkumar S , Gangadharan G R

Mathematical models of a cellular action potential in cardiac modelling have become increasingly complex, particularly in gating kinetics which control the opening and closing of individual ion channel currents. As cardiac models advance…

Quantitative Methods · Quantitative Biology 2021-04-28 C. Houston , B. Marchand , L. Engelbert , C. D. Cantwell

Electroanatomical mapping is a technique used in cardiology to create a detailed 3D map of the electrical activity in the heart. It is useful for diagnosis, treatment planning and real time guidance in cardiac ablation procedures to treat…

Image and Video Processing · Electrical Eng. & Systems 2023-11-29 Sunil Mathew , Jasbir Sra , Daniel B. Rowe

Numerous attempts have been made to replicate the success of complex-valued algebra in engineering and science to other hypercomplex domains such as quaternions, tessarines, biquaternions, and octonions. Perhaps, none have matched the…

Machine Learning · Statistics 2026-03-13 Sayed Pouria Talebi , Clive Cheong Took

From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the initial formulation of electromagnetic filed theory through…

This review focuses on the computerized modeling of the electrophysiology of the human atria, emphasizing the simulation of common arrhythmias such as atrial flutter (AFlut) and atrial fibrillation (AFib). Which components of the model are…

Computational Physics · Physics 2025-05-30 Olaf Dössel , Axel Loewe

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

The Cardioid distribution is a relevant model for circular data. However, this model is not suitable for scenarios were there is asymmetry or multimodality. In order to overcome this gap, an extended Cardioid model is proposed, which is…

Methodology · Statistics 2017-12-06 Fernanda V. Paula , Abraão D. C. Nascimento , Getúlio J. A. Amaral

The efficient construction of anatomical models is one of the major challenges of patient-specific in-silico models of the human heart. Current methods frequently rely on linear statistical models, allowing no advanced topological changes,…

Image and Video Processing · Electrical Eng. & Systems 2024-05-24 Jan Verhülsdonk , Thomas Grandits , Francisco Sahli Costabal , Thomas Pinetz , Rolf Krause , Angelo Auricchio , Gundolf Haase , Simone Pezzuto , Alexander Effland

Accurate forward modelling is essential for non-invasive cardiac electrophysiology, particularly in atrial fibrillation, where electrical activation is highly disorganised. Conventional physics-based forward models require explicit…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Shaheim Ogbomo-Harmitt , Cesare Magnetti , Jakub Grzelak , Oleg Aslanidi

Cardiac magnetic resonance imaging (CMR) offers detailed evaluation of cardiac structure and function, but its limited accessibility restricts use to selected patient populations. In contrast, the electrocardiogram (ECG) is ubiquitous and…

The circulatory system, comprising the heart and blood vessels, is vital for nutrient transport, waste removal, and homeostasis. Traditional computational models often treat cardiac electromechanics and blood flow dynamics separately,…

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