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We consider an optimal flow control problem in a patient-specific coronary artery bypass graft with the aim of matching the blood flow velocity with given measurements as the Reynolds number varies in a physiological range. Blood flow is…

In this work the development of a machine learning-based Reduced Order Model (ROM) for the investigation of hemodynamics in a patient-specific configuration of Coronary Artery Bypass Graft (CABG) is proposed. The computational domain is…

Medical Physics · Physics 2023-08-08 Pierfrancesco Siena , Michele Girfoglio , Francesco Ballarin , Gianluigi Rozza

In this work a machine learning-based Reduced Order Model (ROM) is developed to investigate in a rapid and reliable way the hemodynamic patterns in a patient-specific configuration of Coronary Artery Bypass Graft (CABG). The computational…

Numerical Analysis · Mathematics 2022-03-31 Pierfrancesco Siena , Michele Girfoglio , Gianluigi Rozza

Background: Coronary artery bypass grafting (CABG) planning requires advanced spatial visualization and consideration of coronary artery depth, calcification, and pericardial adhesions. Objective: To develop and evaluate a dynamic…

Medical Physics · Physics 2025-10-02 Shuo Wang , Tong Ren , Nan Cheng , Li Zhang , Rong Wang

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need…

Computational Physics · Physics 2018-10-11 Fande Kong , Vitaly Kheyfets , Ender Finol , Xiao-Chuan Cai

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra

This paper presents a projection-based reduced order modelling (ROM) framework for unsteady parametrized optimal control problems (OCP$_{(\mu)}$s) arising from cardiovascular (CV) applications. In real-life scenarios, accurately defining…

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equations. Our goal is to provide a tool to deal with the time…

Numerical Analysis · Mathematics 2023-08-08 Francesco Ballarin , Gianluigi Rozza , Maria Strazzullo

Computational fluid dynamics (CFD) based simulation of coronary blood flow provides valuable hemodynamic markers, such as pressure gradients, for diagnosing coronary artery disease (CAD). However, CFD is computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Rene Lisasi , Michele Esposito , Chen Zhao

As compared to a large spectrum of performance optimizations, relatively little effort has been dedicated to optimize other aspects of embedded applications such as memory space requirements, power, real-time predictability, and…

Other Computer Science · Computer Science 2011-11-09 O. Ozturk , H. Saputra , M. Kandemir , I. Kolcu

Generating computational anatomical models of cerebrovascular networks is vital for improving clinical practice and understanding brain oxygen transport. This is achieved by extracting graph-based representations based on pre-mapping of…

Quantitative Methods · Quantitative Biology 2019-12-23 Rafat Damseh , Patrick Delafontaine-Martel , Philippe Pouliot , Farida Cheriet , Frederic Lesage

We present a novel numerical algorithm developed to reconstuct pulsatile blood flow from ECG-gated CT angiography data. A block-based optimization method was constructed to solve the inverse problem corresponding to the Riccati-type…

Numerical Analysis · Mathematics 2015-11-26 Attila Lovas , Róbert Nagy , Elek Csobo , Brigitta Szilágyi , Péter Sótonyi

High-fidelity modeling of blood flow is crucial for enhancing our understanding of cardiovascular disease. Despite significant advances in computational and experimental characterization of blood flow, the knowledge that we can acquire from…

Computational Physics · Physics 2021-06-08 Amirhossein Arzani , Scott T. M. Dawson

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies that contain numerous junctions or pathological conditions.…

Predictive modeling of blood flow and pressure have numerous applications ranging from non-invasive assessment of functional significance of disease to planning invasive procedures. While several such predictive modeling techniques have…

We introduce reduced order methods as an efficient strategy to solve parametrized non-linear and time dependent optimal flow control problems governed by partial differential equations. Indeed, the optimal control problems require a huge…

Numerical Analysis · Mathematics 2023-08-08 Maria Strazzullo , Zakia Zainib , Francesco Ballarin , Gianluigi Rozza

Several advances have been made in Data Assimilation techniques applied to blood flow modeling. Typically, idealized boundary conditions, only verified in straight parts of the vessel, are assumed. We present a general approach, based on a…

Optimization and Control · Mathematics 2016-11-22 Jorge Tiago , Telma Guerra , Adélia Sequeira

Coronary Microvascular Dysfunction (CMD) is characterized by impaired vasodilation and can lead to insufficient blood flow to the myocardium during stress or exertion, affecting millions of people globally. Despite their diagnostic value,…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Haizhou Yang , Jiyang Zhang , Ismael Z. Assi , Brahmajee K. Nallamothu , Krishna Garikipati , C. Alberto Figueroa

Modeling cardiovascular anatomies poses a significant challenge due to their complex, irregular structures and inherent pathological conditions. Numerical simulations, while accurate, are often computationally expensive, limiting their…

Machine Learning · Computer Science 2025-03-25 Navaneeth N , Souvik Chakraborty
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