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Recent advances in data assimilation (DA) have focused on developing more flexible approaches that can better accommodate nonlinearities in models and observations. However, it remains unclear how the performance of these advanced methods…

Atmospheric and Oceanic Physics · Physics 2025-05-08 Zixiang Xiong , Siming Liang , Feng Bao , Guannan Zhang , Hristo G. Chipilski

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

Neurons and Cognition · Quantitative Biology 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

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

Detailed dynamical systems' models used in the life sciences may include hundreds of state variables and many input parameters, often with physical meaning. Therefore, efficient and unique input parameter identification, from experimental…

Quantitative Methods · Quantitative Biology 2023-06-29 Harry Saxton , Xu Xu , Ian Halliday , Torsten Schenkel

Background. Clinical parameters measured from gated single-photon emission computed tomography myocardial perfusion imaging (SPECT MPI) have value in predicting cardiac resynchronization therapy (CRT) patient outcomes, but still show…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Kristoffer Larsena , Zhuo He , Chen Zhao , Xinwei Zhang , Quiying Sha , Claudio T Mesquitad , Diana Paeze , Ernest V. Garciaf , Jiangang Zou , Amalia Peix , Weihua Zhou

Virtual heart models have been proposed to enhance the safety of implantable cardiac devices through closed loop validation. To communicate with a virtual heart, devices have been driven by cardiac signals at specific sites. As a result,…

Systems and Control · Computer Science 2017-03-06 Weiwei Ai , Nitish Patel , Partha Roop , Avinash Malik , Nathan Allen , Mark L. Trew

Data assimilation combines information from models, measurements, and priors to estimate the state of a dynamical system such as the atmosphere. The Ensemble Kalman filter (EnKF) is a family of ensemble-based data assimilation approaches…

Computational Engineering, Finance, and Science · Computer Science 2014-12-09 Ahmed Attia , Adrian Sandu

This paper aims at mathematically modeling a new multi-physics conductivity imaging system incorporating mechanical vibrations simultaneously applied to an imaging object together with current injections. We perturb the internal…

Medical Physics · Physics 2014-05-20 Habib Ammari , Eunjung Lee , Hyeuknam Kwon , Jin Keun Seo , Eung Je Woo

Accurate knowledge of time-variation in meridional flow-speed and profile is crucial for estimating a solar cycle's features, which are ultimately responsible for causing space climate variations. However, no consensus has been reached yet…

Solar and Stellar Astrophysics · Physics 2014-08-22 Mausumi Dikpati , Jeffrey L. Anderson , Dhrubaditya Mitra

We propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is supplemented by scanning the…

Analysis of PDEs · Mathematics 2015-05-20 Peter Kuchment , Leonid Kunyansky

Although data assimilation originates from control theory, the relationship between modern data assimilation methods in geoscience and model predictive control has not been extensively explored. In the present paper, I discuss that the…

Geophysics · Physics 2024-10-21 Yohei Sawada

An electrocardiogram (EKG) is a common, non-invasive test that measures the electrical activity of a patient's heart. EKGs contain useful diagnostic information about patient health that may be absent from other electronic health record…

Machine Learning · Statistics 2018-12-04 Andrew C. Miller , Ziad Obermeyer , David M. Blei , John P. Cunningham , Sendhil Mullainathan

The application of machine learning to medical ultrasound videos of the heart, i.e., echocardiography, has recently gained traction with the availability of large public datasets. Traditional supervised tasks, such as ejection fraction…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Grégoire Petit , Nathan Palluau , Axel Bauer , Clemens Dlaska

Prior knowledge about the imaging physics provides a mechanistic forward operator that plays an important role in image reconstruction, although myriad sources of possible errors in the operator could negatively impact the reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Maryam Toloubidokhti , Nilesh Kumar , Zhiyuan Li , Prashnna K. Gyawali , Brian Zenger , Wilson W. Good , Rob S. MacLeod , Linwei Wang

Data assimilation (DA) for compressible flows with shocks is challenging because many classical DA methods generate spurious oscillations and nonphysical features near uncertain shocks. We focus here on the ensemble Kalman filter (EnKF). We…

Epileptic seizures are transient neurological events characterized by abnormal and excessive neuron activity in the brain, which are often associated with measurable disturbances in the cardiovascular system. Traditionally,…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Mohammad Reza Chopannavaz , Foad Ghaderi

The Ensemble Adjustment Kalman Filter (EAKF) of the Data Assimilation Research Testbed (DART) is implemented to assimilate observations of satellite sea surface temperature, altimeter sea surface height and in situ ocean temperature and…

Atmospheric and Oceanic Physics · Physics 2020-02-06 Sivareddy Sanikommu , Habib Toye , Peng Zhan , Sabique Langodan , George Krokos , Omar Knio , Ibrahim Hoteit

In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to reduce the parameter uncertainty and, consequently, improve the…

Numerical Analysis · Mathematics 2022-10-06 Francesco A. B. Silva , Cecilia Pagliantini , Martin Grepl , Karen Veroy

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

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

Information Theory · Computer Science 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen