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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

Electrocardiogram (ECG) is the most crucial monitoring modality to diagnose cardiovascular events. Precise and automatic detection of abnormal ECG patterns is beneficial to both physicians and patients. In the automatic detection of…

Signal Processing · Electrical Eng. & Systems 2020-09-10 Naoki Nonaka , Jun Seita

Electrocardiography is the most common method to investigate the condition of the heart through the observation of cardiac rhythm and electrical activity, for both diagnosis and monitoring purposes. Analysis of electrocardiograms (ECGs) is…

Signal Processing · Electrical Eng. & Systems 2023-06-16 Viktor van der Valk , Douwe Atsma , Roderick Scherptong , Marius Staring

Cardiovascular diseases (CVD) can be diagnosed using various diagnostic modalities. The electrocardiogram (ECG) is a cost-effective and widely available diagnostic aid that provides functional information of the heart. However, its ability…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Özgün Turgut , Philip Müller , Paul Hager , Suprosanna Shit , Sophie Starck , Martin J. Menten , Eimo Martens , Daniel Rueckert

The electrocardiogram (ECG) is an essential tool for diagnosing heart disease, with computer-aided systems improving diagnostic accuracy and reducing healthcare costs. Despite advancements, existing systems often miss rare cardiac anomalies…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Aofan Jiang , Chaoqin Huang , Qing Cao , Yuchen Xu , Zi Zeng , Kang Chen , Ya Zhang , Yanfeng Wang

The electrocardiogram (ECG) is modulated by torso-heart anatomy, and this challenges patients' diagnosis and risk stratification. This study aims to quantify how torso-heart anatomical factors affect sex-differences in ECG biomarkers in…

A language is made up of an infinite/finite number of sentences, which in turn is composed of a number of words. The Electrocardiogram (ECG) is the most popular noninvasive medical tool for studying heart function and diagnosing various…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Prapti Ganguly , Wazib Ansar , Amlan Chakrabarti

We study the inverse boundary value problem of detecting a non-uniform conductivity motivated by pacing-guided ablation in cardiac electrophysiology. At the stationary level, the transmembrane potential $u$ in a region…

Analysis of PDEs · Mathematics 2026-02-13 Elena Beretta , Elisa Francini , Dario Pierotti , Eva Sincich

Electrocardiogram (ECG) signals play critical roles in the clinical screening and diagnosis of many types of cardiovascular diseases. Despite deep neural networks that have been greatly facilitated computer-aided diagnosis (CAD) in many…

Machine Learning · Computer Science 2021-05-31 Jingyi Liu , Zhongyu Li , Xiayue Fan , Jintao Yan , Bolin Li , Xuemeng Hu , Qing Xia , Yue Wu

Electrocardiography (ECG) plays a central role in cardiovascular diagnostics, yet existing automated approaches often struggle to generalize across clinical tasks and offer limited support for open-ended reasoning. We present HeartLLM, a…

Artificial Intelligence · Computer Science 2026-01-27 Jinning Yang , Wenjie Sun , Wen Shi

The law of centripetal force governing the motion of celestial bodies in eccentric conic sections, has been established and thoroughly investigated by Sir Isaac Newton in his Principia Mathematica. Yet its profound implications on the…

History and Philosophy of Physics · Physics 2021-06-04 Adel Alameh

Computer-based simulations of non-invasive cardiac electrical outputs, such as electrocardiograms and body surface potential maps, usually entail severe computational costs due to the need of capturing fine-scale processes and to the…

Numerical Analysis · Mathematics 2023-08-09 Elena Zappon , Andrea Manzoni , Alfio Quarteroni

Electroencephalogram, an influential equipment for analyzing humans activities and recognition of seizure attacks can play a crucial role in designing accurate systems which can distinguish ictal seizures from regular brain alertness, since…

Signal Processing · Electrical Eng. & Systems 2018-06-26 Amirmasoud Ahmadi , Mahsa Behroozi , Vahid Shalchyan , Mohammad Reza Daliri

Electrocardiogram (ECG) is the most frequent and routine diagnostic tool used for monitoring heart electrical signals and evaluating its functionality. The human heart can suffer from a variety of diseases, including cardiac arrhythmias.…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Negin Alamatsaz , Leyla s Tabatabaei , Mohammadreza Yazdchi , Hamidreza Payan , Nima Alamatsaz , Fahimeh Nasimi

Several methods have been developed to extract information from electroencephalograms (EEG). One of them is Phase-Amplitude Coupling (PAC) which is a type of Cross-Frequency Coupling (CFC) method, consisting in measure the synchronization…

Neurons and Cognition · Quantitative Biology 2021-04-13 Marco A. Formoso , Andrés Ortiz , Francisco J. Martínez-Murcia , Nicolás Gallego-Molina , Juan L. Luque

Electrocardiogram (ECG) synthesis is the area of research focused on generating realistic synthetic ECG signals for medical use without concerns over annotation costs or clinical data privacy restrictions. Traditional ECG generation models…

Computation and Language · Computer Science 2023-03-17 Hyunseung Chung , Jiho Kim , Joon-myoung Kwon , Ki-Hyun Jeon , Min Sung Lee , Edward Choi

In this paper, we present a powerful, compact electrocardiogram (ECG) classification algorithm for cardiac arrhythmia diagnosis that addresses the current reliance on deep learning and convolutional neural networks (CNNs) in ECG analysis.…

Cardiovascular disease has become one of the most significant threats endangering human life and health. Recently, Electrocardiogram (ECG) monitoring has been transformed into remote cardiac monitoring by Holter surveillance. However, the…

Signal Processing · Electrical Eng. & Systems 2022-01-26 Peng Wang , Zihuai Lin , Xucun Yan , Zijiao Chen , Ming Ding , Yang Song , Lu Meng

An electrocardiogram (ECG) captures the heart's electrical signal to assess various heart conditions. In practice, ECG data is stored as either digitized signals or printed images. Despite the emergence of numerous deep learning models for…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Ju-Hyeon Nam , Seo-Hyung Park , Su Jung Kim , Sang-Chul Lee

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