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We derive an equation that governs the spatiotemporal dynamics of small amplitude alternans in paced cardiac tissue. We show that a pattern-forming linear instability leads to the spontaneous formation of stationary or traveling waves whose…

统计力学 · 物理学 2009-11-07 Blas Echebarria , Alain Karma

We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The leading idea is to reduce the problem to an abstract parabolic…

偏微分方程分析 · 数学 2021-01-26 Micol Amar , Daniele Andreucci , Claudia Timofte

Magnetic phenomena are in chemistry and condensed matter physics considered to be associated with low temperatures. That a magnetic state, or order, is stable below a critical temperature as well as becoming stronger the lower the…

介观与纳米尺度物理 · 物理学 2023-04-07 J. Fransson

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…

医学物理 · 物理学 2024-01-09 Nathan Dermul , Hans Dierckx

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…

This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions,…

数值分析 · 数学 2024-05-03 Mostafa Bendahmane , Youssef Ouakrim , Yassine Ouzrour , Mohamed Zagour

Interruptions in nonlinear wave propagation, commonly referred to as wave breaks, are typical of many complex excitable systems. In the heart they lead to fatal rhythm disorders, the so-called arrhythmias, which are one of the main causes…

While spiral wave breakup has been implicated in the emergence of atrial fibrillation, its role in maintaining this complex type of cardiac arrhythmia is less clear. We used the Karma model of cardiac excitation to investigate the dynamical…

组织与器官 · 定量生物学 2017-10-11 Christopher D Marcotte , Roman O Grigoriev

A physically consistent approach is considered for defining an external magnetic field as needed in computational fluid dynamics problems involving magnetohydrodynamics (MHD). The approach results in simple analytical formulae that can be…

流体动力学 · 物理学 2009-11-25 E. V. Votyakov , S. C. Kassinos , X. Albets-Chico

Electrocardiogram (ECG) is a widely used diagnostic tool for detecting heart conditions. Rare cardiac diseases may be underdiagnosed using traditional ECG analysis, considering that no training dataset can exhaust all possible cardiac…

计算机视觉与模式识别 · 计算机科学 2023-08-04 Aofan Jiang , Chaoqin Huang , Qing Cao , Shuang Wu , Zi Zeng , Kang Chen , Ya Zhang , Yanfeng Wang

Human heart rate fluctuates in a complex and non-stationary manner. Elaborating efficient and adequate tools for the analysis of such signals has been a great challenge for the researchers during last decades. Here, an overview of the main…

医学物理 · 物理学 2007-05-23 J. Kalda , M. Sakki , M. Vainu , M. Laan

The thermomagnetic convection of magnetic fluids in a cylindrical geometry subjected to a homogeneous magnetic field is studied. The study is motivated by a novel thermal instability [W. Luo et al., Phys. Rev. Lett. 82, 4134 (1999)]. As…

斑图形成与孤子 · 物理学 2009-11-07 Adrian Lange

This work presents a biventricular electromechanical human heart model that is comprehensive and clinically relevant, integrating a realistic 3D heart geometry with both systemic and pulmonary hemodynamics. The model uses a two-way…

医学物理 · 物理学 2025-09-05 Milad Hasani , Alireza Rezania , Sam Riahi

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…

We present a novel approach to learn the formulae characterising the emergent behaviour of a dynamical system from system observations. At a high level, the approach starts by devising a statistical dynamical model of the system which…

计算机科学中的逻辑 · 计算机科学 2013-12-31 Ezio Bartocci , Luca Bortolussi , Guido Sanguinetti

Magnetic stimulation is a standard tool in brain research and many fields of neurology, as well as psychiatry. From a physical perspective, one key aspect of this method is the inefficiency of available setups. Whereas the spatial field…

医学物理 · 物理学 2011-06-20 Stefan M. Goetz , Nam C. Truong , Manuel G. Gerhofer , Thomas Weyh , Hans-Georg Herzog

Cardiac tagging magnetic resonance imaging (t-MRI) is the gold standard for regional myocardium deformation and cardiac strain estimation. However, this technique has not been widely used in clinical diagnosis, as a result of the difficulty…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Meng Ye , Mikael Kanski , Dong Yang , Qi Chang , Zhennan Yan , Qiaoying Huang , Leon Axel , Dimitris Metaxas

We investigate numerically and analytically the coupled dynamics of transmembrane voltage and intracellular calcium cycling in paced cardiac cells using a detailed physiological model and its reduction to a three-dimensional discrete map.…

生物物理 · 物理学 2009-11-10 Yohannes Shiferaw , Daisuke Sato , Alain Karma

The clinical application of patient-specific modelling of the heart can provide valuable insights in supplementing and advancing methods of diagnosis as well as helping to devise the best possible therapeutic approach for each individual…

医学物理 · 物理学 2023-08-03 Sebastian Skatulla , Carlo Sansour , Mary Familusi , Jagir Hussan , Ntobeko Ntusi

Electrocardiogram (ECG) is one of the non-invasive and low-risk methods to monitor the condition of the human heart. Any abnormal pattern(s) in the ECG signal is an indicative measure of malfunctioning of the heart, termed as arrhythmia.…

信号处理 · 电气工程与系统科学 2018-10-10 Sai Manoj Pudukotai Dinakarrao , Matthias Wess