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Empirical Dynamic Modeling (EDM) is a nonlinear time series causal inference framework. The latest implementation of EDM, cppEDM, has only been used for small datasets due to computational cost. With the growth of data collection…

分布式、并行与集群计算 · 计算机科学 2020-11-24 Wassapon Watanakeesuntorn , Keichi Takahashi , Kohei Ichikawa , Joseph Park , George Sugihara , Ryousei Takano , Jason Haga , Gerald M. Pao

The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by means of bifurcation theory. The reformulated model is shown to…

动力系统 · 数学 2021-05-17 André H. Erhardt , Susanne Solem

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…

医学物理 · 物理学 2026-04-21 Aaron L. Brown , Ju Liu , Daniel B. Ennis , Alison L. Marsden

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the formulation and numerical approximation of coupled nonlinear dynamical systems. These systems describe the cardiac action potential,…

计算物理 · 物理学 2021-01-27 Stefania Fresca , Andrea Manzoni , Luca Dedè , Alfio Quarteroni

Electrocardiography (ECG) offers critical cardiovascular insights, such as identifying arrhythmias and myocardial ischemia, but enabling automated systems to answer complex clinical questions directly from ECG signals (ECG-QA) remains a…

信号处理 · 电气工程与系统科学 2025-05-13 Hung Manh Pham , Jialu Tang , Aaqib Saeed , Dong Ma

We develop a minimal whole-heart model that describes cardiac electrical conduction and simulate a basic three-lead electrocardiogram (ECG). We compare our 3-lead ECG model with clinical data from a Norwegian athlete database. The results…

组织与器官 · 定量生物学 2025-06-26 João Olívia , Rui Dilão

The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numerically modelling the governing equations. This can provide…

计算工程、金融与科学 · 计算机科学 2014-06-09 Nathan Kirk , Alan Benson , Christopher Goodyer , Matthew Hubbard

Fully explicit stabilized multirate (mRKC) methods are well-suited for the numerical solution of large multiscale systems of stiff ordinary differential equations thanks to their improved stability properties. To demonstrate their…

数值分析 · 数学 2024-06-25 Giacomo Rosilho de Souza , Marcus J. Grote , Simone Pezzuto , Rolf Krause

Cardiac digital twins (CDTs) are personalized virtual representations used to understand complex cardiac mechanisms. A critical component of CDT development is solving the ECG inverse problem, which enables the reconstruction of cardiac…

计算机视觉与模式识别 · 计算机科学 2024-09-16 Lei Li , Julia Camps , Blanca Rodriguez , Vicente Grau

We present ECG-Expert-QA, a comprehensive multimodal dataset for evaluating diagnostic capabilities in electrocardiogram (ECG) interpretation. It combines real-world clinical ECG data with systematically generated synthetic cases, covering…

信号处理 · 电气工程与系统科学 2025-04-08 Xu Wang , Jiaju Kang , Puyu Han , Yubao Zhao , Qian Liu , Liwenfei He , Lingqiong Zhang , Lingyun Dai , Yongcheng Wang , Jie Tao

Simulation of extracellular fields is one of the substantial methods used in the area of computational neuroscience. Its most common usage is validation of experimental methods as EEG and extracellular spike recordings or modeling of…

神经元与认知 · 定量生物学 2013-01-22 Pavol Bauer , Sanja Mikulovic , Stefan Engblom , Katarina E. Leão , Frank Rattay , Richardson N. Leão

Epithelial-Mesenchymal Transition (EMT), and the corresponding reverse process, Mesenchymal-Epithelial Transition (MET), are dynamic and reversible cellular programs orchestrated by many changes at biochemical and morphological levels. A…

分子网络 · 定量生物学 2019-07-26 Shubham Tripathi , Jianhua Xing , Herbert Levine , Mohit Kumar Jolly

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…

图像与视频处理 · 电气工程与系统科学 2023-11-29 Sunil Mathew , Jasbir Sra , Daniel B. Rowe

Precision cardiology based on cardiac digital twins requires accurate simulations of cardiac arrhythmias. However, detailed models, such as the monodomain model, are computationally costly and have limited applicability in practice. Thus,…

计算工程、金融与科学 · 计算机科学 2024-10-31 Lia Gander , Rolf Krause , Francisco Sahli Costabal , Simone Pezzuto

The eikonal equation has become an indispensable tool for modeling cardiac electrical activation accurately and efficiently. In principle, by matching clinically recorded and eikonal-based electrocardiograms (ECGs), it is possible to build…

最优化与控制 · 数学 2023-12-06 Thomas Grandits , Jan Verhülsdonk , Gundolf Haase , Alexander Effland , Simone Pezzuto

Understanding the irregular electrical activity of atrial fibrillation (AFib) has been a key challenge in electrocardiography. For serious cases of AFib, catheter ablations are performed to collect intracardiac electrograms (EGMs). EGMs…

The impact of increased stiffness and pulsatile load on the circulation and their influence on heart performance have been documented not only for cardiovascular events but also for ventricular dysfunctions. For this reason, computer models…

Electrocardiogram (ECG) can be reliably used as a measure to monitor the functionality of the cardiovascular system. Recently, there has been a great attention towards accurate categorization of heartbeats. While there are many…

计算机与社会 · 计算机科学 2018-11-06 Mohammad Kachuee , Shayan Fazeli , Majid Sarrafzadeh

Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death. Suitable mathematical models and their analysis help to…

动力系统 · 数学 2021-01-15 André H. Erhardt , Susanne Solem

Recent advancements in finite element methods allows for the implementation of mesh cells with curved edges. In the present work, we develop the tools necessary to employ multiply connected mesh cells, i.e. cells with holes, in planar…

数值分析 · 数学 2023-03-15 Jeffrey S. Ovall , Samuel E. Reynolds