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The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

Methodology · Statistics 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

One of the main problems with biomedical signals is the limited amount of patient-specific data and the significant amount of time needed to record the sufficient number of samples needed for diagnostic and treatment purposes. In this…

Machine Learning · Computer Science 2021-03-29 Oscar Pastor-Serrano , Danny Lathouwers , Zoltán Perkó

Whole-body hemodynamics simulators, which model blood flow and pressure waveforms as functions of physiological parameters, are now essential tools for studying cardiovascular systems. However, solving the corresponding inverse problem of…

As deep Variational Auto-Encoder (VAE) frameworks become more widely used for modeling biomolecular simulation data, we emphasize the capability of the VAE architecture to concurrently maximize the timescale of the latent space while…

Chemical Physics · Physics 2021-12-08 Hannah K. Wayment-Steele , Vijay S. Pande

We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

Numerical Analysis · Mathematics 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

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 propose FiberNet, a method to estimate \emph{in-vivo} the cardiac fiber architecture of the human atria from multiple catheter recordings of the electrical activation. Cardiac fibers play a central role in the electro-mechanical function…

Image and Video Processing · Electrical Eng. & Systems 2022-07-25 Carlos Ruiz Herrera , Thomas Grandits , Gernot Plank , Paris Perdikaris , Francisco Sahli Costabal , Simone Pezzuto

Computational cardiac modelling is a mature area of biomedical computing, and is currently evolving from a pure research tool to aiding in clinical decision making. Assessing the reliability of computational model predictions is a key…

Computational Physics · Physics 2018-01-10 Rocío Rodríguez-Cantano , Joakim Sundnes , Marie E. Rognes

We present a topological framework for finding low-flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight-sided affine domains. This framework relies on…

Numerical Analysis · Mathematics 2012-05-15 Robert C. Kirby , Anders Logg , L. Ridgway Scott , Andy R. Terrel

Finite element analysis (FEA) can be used to evaluate applied interface pressures and internal tissue strains for computational prosthetic socket design. This type of framework requires realistic patient-specific limb geometry and…

Medical Physics · Physics 2022-11-24 Bryan J. Ranger , Kevin M. Moerman , Brian W. Anthony , Hugh M. Herr

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

Machine Learning · Statistics 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen

Procedural material models have been gaining traction in many applications thanks to their flexibility, compactness, and easy editability. We explore the inverse rendering problem of procedural material parameter estimation from…

Graphics · Computer Science 2025-04-22 Yu Guo , Milos Hasan , Lingqi Yan , Shuang Zhao

To safely deploy deep learning models in the clinic, a quality assurance framework is needed for routine or continuous monitoring of input-domain shift and the models' performance without ground truth contours. In this work, cardiac…

Image and Video Processing · Electrical Eng. & Systems 2023-05-22 Xiyao Jin , Yao Hao , Jessica Hilliard , Zhehao Zhang , Maria A. Thomas , Hua Li , Abhinav K. Jha , Geoffrey D. Hugo

In cardiac magnetic resonance (CMR) imaging, a 3D high-resolution segmentation of the heart is essential for detailed description of its anatomical structures. However, due to the limit of acquisition duration and respiratory/cardiac…

Image and Video Processing · Electrical Eng. & Systems 2021-07-09 Shuo Wang , Chen Qin , Nicolo Savioli , Chen Chen , Declan O'Regan , Stuart Cook , Yike Guo , Daniel Rueckert , Wenjia Bai

Computational simulation is increasingly relied upon for high-consequence engineering decisions, and a foundational element to solid mechanics simulations, such as finite element analysis (FEA), is a credible constitutive or material model.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-30 Denielle Ricciardi , Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

Immersed finite element (IFE) methods are a group of long-existing numerical methods for solving interface problems on unfitted meshes. A core argument of the methods is to avoid mesh regeneration procedure when solving moving interface…

Numerical Analysis · Mathematics 2020-05-01 Ruchi Guo

Mathematical modeling of cardiac function can provide augmented simulation-based diagnosis tool for complementing and extending human understanding of cardiac diseases which represent the most common cause of worldwide death. As the…

Computational Engineering, Finance, and Science · Computer Science 2021-05-05 Chi Zhang , Jianhang Wang , Massoud Rezavand , Dong Wu , Xiangyu Hu

Quantitative characterization of tissue properties, known as elasticity imaging, can be cast as solving an ill-posed inverse problem. The finite element methods (FEMs) in magnetic resonance elastography (MRE) imaging are based on solving a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Background: Mammography is a specific type of breast imaging that uses low-dose X-rays to detect cancer in early stage. During the exam, the women breast is compressed between two plates in order to even out the breast thickness and to…

Medical Physics · Physics 2018-11-27 Anna Mîra , Ann-Katherine Carton , Serge Muller , Yohan Payan

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai