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In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the perturbed potential due to the presence of small conductivity…

Analysis of PDEs · Mathematics 2020-10-28 Elena Beretta , Cecilia Cavaterra , Luca Ratti

Wearable electrocardiograph (ECG) recording and processing systems have been developed to detect cardiac arrhythmia to help prevent heart attacks. Conventional wearable systems, however, suffer from high energy consumption at both circuit…

Signal Processing · Electrical Eng. & Systems 2022-05-27 Jinbo Chen , Fengshi Tian , Jie Yang , Mohamad Sawan

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

Contraction of the left ventricle of the heart increases aortic root blood pressure (P), diameter (D) and blood velocity (U). When contraction diminishes, all three properties decrease. These perturbations propagate down the systemic…

Medical Physics · Physics 2026-02-23 Ethan M. Rowland , Peter D. Weinberg

Introduction: Premature Ventricular Contractions (PVCs) are common cardiac arrhythmias originating from the ventricles. Accurate detection remains challenging due to variability in electrocardiogram (ECG) waveforms caused by differences in…

Machine Learning · Computer Science 2026-01-27 Hagai Hamami , Yosef Solewicz , Daniel Zur , Yonatan Kleerekoper , Joachim A. Behar

We propose a novel method to reconstruct phase dynamics equations from responses in macroscopic variables to weak inputs. Developing linear and nonlinear response theories in coupled phase-oscillators, we derive formulae which connect the…

Adaptation and Self-Organizing Systems · Physics 2023-01-06 Yoshiyuki Y. Yamaguchi , Yu Terada

Many real-world data sets, especially in biology, are produced by complex nonlinear dynamical systems. In this paper, we focus on brain calcium imaging (CaI) of different organisms (zebrafish and rat), aiming to build a model of joint…

Personalized cardiac mechanics modeling is a powerful tool for understanding the biomechanics of cardiac function in health and disease and assisting in treatment planning. However, current models are limited to using medical images…

Medical Physics · Physics 2024-04-09 Lei Shi , Ian Chen , Hiroo Takayama , Vijay Vedula

Deep learning methods have reached state-of-the-art performance in cardiac image segmentation. Currently, the main bottleneck towards their effective translation into clinics requires assuring continuous high model performance and…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Francesco Galati , Maria A. Zuluaga

Echocardiogram video plays a crucial role in analysing cardiac function and diagnosing cardiac diseases. Current deep neural network methods primarily aim to enhance diagnosis accuracy by incorporating prior knowledge, such as segmenting…

Image and Video Processing · Electrical Eng. & Systems 2024-10-29 Jiewen Yang , Yiqun Lin , Bin Pu , Jiarong Guo , Xiaowei Xu , Xiaomeng Li

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

To date, computational methods for modeling defects (vacancies, adsorbates, etc.) rely on periodic supercells in which the defect is far enough from its repeated image such that they can be assumed non-interacting. Yet, the relative…

A complex system comprises multiple interacting entities whose interdependencies form a unified whole, exhibiting emergent behaviours not present in individual components. Examples include the human brain, living cells, soft matter, Earth's…

Long term behavior of nonlinear deterministic continuous time signals can be studied in terms of their reconstructed attractors. Reconstructed attractors of a continuous signal are meant to be topologically equivalent representations of the…

This paper presents a novel method to automatically identify late-activating regions of the left ventricle from cine Displacement Encoding with Stimulated Echo (DENSE) MR images. We develop a deep learning framework that identifies late…

Image and Video Processing · Electrical Eng. & Systems 2020-12-09 Jiarui Xing , Sona Ghadimi , Mohammad Abdishektaei , Kenneth C. Bilchick , Frederick H. Epstein , Miaomiao Zhang

Deep learning applied to electrocardiogram (ECG) data can be used to achieve personal authentication in biometric security applications, but it has not been widely used to diagnose cardiovascular disorders. We developed a deep learning…

Machine Learning · Computer Science 2020-12-02 Song-Kyoo Kim , Chan Yeob Yeun , Paul D. Yoo , Nai-Wei Lo , Ernesto Damiani

In this paper we propose a robust approach to model photoplethysmography (PPG) signals. After decomposing the signal into two components, we focus the analysis on the pulsatile part, related to cardiac information. The goal is to enable a…

Applications · Statistics 2019-05-28 M. Regis , L. M. Eerikäinen , R. Haakma , E. R. van den Heuvel , P. Serra

Early and optimal identification of cardiac anomalies, especially Myocardial infarction (MCI) can aid the individual in obtaining prompt medical attention to mitigate the severity. Electrocardiogram (ECG) is a simple non-invasive…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Srikireddy Dhanunjay Reddy , Pujayita Deb , Tharun Kumar Reddy Bollu

Motivated by the problem of verifying the correctness of arrhythmia-detection algorithms, we present a formalization of these algorithms in the language of Quantitative Regular Expressions. QREs are a flexible formal language for specifying…

Logic in Computer Science · Computer Science 2017-09-26 Houssam Abbas , Alena Rodionova , Ezio Bartocci , Scott A. Smolka , Radu Grosu

We study properties of the human electrocardiogram under the working hypothesis that fluctuations beyond the regular structure of single cardiac cycles are unpredictable. On this background we discuss the possibility to use the phase space…

chao-dyn · Physics 2009-10-31 Marcus Richter , Thomas Schreiber