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We develop a data-driven model discovery and system identification technique for spatially-dependent boundary value problems (BVPs). Specifically, we leverage the sparse identification of nonlinear dynamics (SINDy) algorithm and group…

Computational Engineering, Finance, and Science · Computer Science 2021-07-07 Daniel E. Shea , Steven L. Brunton , J. Nathan Kutz

Cardiac arrhythmogenesis is governed by complex electromechanical interactions that are not directly observable in vivo, motivating the development of non-invasive computational approaches for reconstructing three-dimensional activation…

Medical Physics · Physics 2026-03-05 Nathan Dermul , Hans Dierckx

4D-flow magnetic resonance imaging (MRI) is an emerging imaging technique where spatiotemporal 3D blood velocity can be captured with full volumetric coverage in a single non-invasive examination. This enables qualitative and quantitative…

Image and Video Processing · Electrical Eng. & Systems 2020-04-16 Edward Ferdian , Avan Suinesiaputra , David Dubowitz , Debbie Zhao , Alan Wang , Brett Cowan , Alistair Young

The combination of machine learning (ML) and sparsity-promoting techniques is enabling direct extraction of governing equations from data, revolutionizing computational modeling in diverse fields of science and engineering. The discovered…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mohammad Amin Basiri , Sina Khanmohammadi

In this paper, we are concerned with the simulation of blood flow in microvascular networks and the surrounding tissue. To reduce the computational complexity of this issue, the network structures are modeled by a one-dimensional graph,…

Numerical Analysis · Mathematics 2023-05-01 Ettore Vidotto , Timo Koch , Tobias Köppl , Rainer Helmig , Barbara Wohlmuth

Extensive studies suggested that fluid mechanical markers of intracranial aneurysms (IAs) derived from Computational Fluid Dynamics (CFD) can indicate disease progression risks, but to date this has not been translated clinically. This is…

Machine Learning · Computer Science 2026-01-30 Yiying Sheng , Wenhao Ding , Dylan Roi , Leonard Leong Litt Yeo , Hwa Liang Leo , Choon Hwai Yap

Background: To develop an artificial intelligence system that can accurately identify acute non-traumatic intracranial hemorrhage (ICH) etiology based on non-contrast CT (NCCT) scans and investigate whether clinicians can benefit from it in…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Meng Zhao , Yifan Hu , Ruixuan Jiang , Yuanli Zhao , Dong Zhang , Yan Zhang , Rong Wang , Yong Cao , Qian Zhang , Yonggang Ma , Jiaxi Li , Shaochen Yu , Wenjie Li , Ran Zhang , Yefeng Zheng , Shuo Wang , Jizong Zhao

Continuously measured arterial blood velocity can provide insight into physiological parameters and potential disease states. The efficient and effective description of the temporal profiles of arterial velocity is crucial for both clinical…

Quantitative Methods · Quantitative Biology 2024-02-16 Justen R Geddes , Amanda Randles

A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

Background: Coronary angiography (CAG) is a cornerstone imaging modality for assessing coronary artery disease and guiding interventional treatment decisions. However, in real-world clinical settings, angiographic images are often…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Jingsong Xia , Siqi Wang

Cerebral blood flow is a critical metric for cerebrovascular monitoring, with applications in stroke detection, brain injury evaluation, aging, and neurological disorders. Non-invasively measuring cerebral blood dynamics is challenging due…

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…

Understanding and predicting complex dynamics in accelerators is necessary for their successful operation. A grand challenge in accelerator physics is to develop predictive virtual accelerators that mitigate design cost and schedule risk.…

Accelerator Physics · Physics 2024-10-21 Liam A. Pocher , Irving Haber , Thomas M. Antonsen , Patrick G. O'Shea

Blood flow imaging provides important information for hemodynamic behavior within the vascular system and plays an essential role in medical diagnosis and treatment planning. However, obtaining high-quality flow images remains a significant…

Numerical Analysis · Mathematics 2026-04-02 Han Zhang , Xue-Cheng Tai , Jean-Michel Morel , Raymond H. Chan

The inversion of ring fit parameters to obtain subsurface flow maps in ring-diagram analysis for 8 years of SDO observations is computationally expensive, requiring ~3200 CPU hours. In this paper we apply machine learning techniques to the…

Solar and Stellar Astrophysics · Physics 2019-02-06 Rasha Alshehhi , Chris S. Hanson , Laurent Gizon , Shravan Hanasoge

This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics…

Recent development of quantitative myocardial blood flow (MBF) mapping allows direct evaluation of absolute myocardial perfusion, by computing pixel-wise flow maps. Clinical studies suggest quantitative evaluation would be more desirable…

Quantitative Methods · Quantitative Biology 2020-06-01 Hui Xue , Rhodri Davies , Louis AE Brown , Kristopher D Knott , Tushar Kotecha , Marianna Fontana , Sven Plein , James C Moon , Peter Kellman

We use machine learning to perform super-resolution analysis of grossly under-resolved turbulent flow field data to reconstruct the high-resolution flow field. Two machine-learning models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

Atherosclerotic lesions within carotid and cerebral vessels are likely to influence hemodynamics and manifest into vascular pathologies, including Alzheimers Disease and ischemic stroke. Hemodynamics are influenced by changes in luminal…

Tissues and Organs · Quantitative Biology 2023-03-24 Jennifer Buoncore , Alexis Sobecki , Brian Lee Beatty

Adequate blood supply is critical for normal brain function. Brain vasculature dysfunctions such as stalled blood flow in cerebral capillaries are associated with cognitive decline and pathogenesis in Alzheimer's disease. Recent advances in…

Image and Video Processing · Electrical Eng. & Systems 2022-02-15 Roman Solovyev , Alexandr A. Kalinin , Tatiana Gabruseva
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