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Patient-specific computational modeling has emerged as a powerful tool for surgical planning in complex congenital heart disease. One promising application is complex biventricular repair, which often requires construction of a custom…

Computational Engineering, Finance, and Science · Computer Science 2026-03-27 Elena Sabdy Martinez , Alexander D. Kaiser , Alexander K. Reed , Sascha W. Stocker , Amit Sharir , Perry S. Choi , Shiraz A. Maskatia , Michael R. Ma , Alison Lesly Marsden

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a theoretical overview of the main categories of Reduced…

Numerical Analysis · Mathematics 2025-10-21 Pierfrancesco Siena , Pasquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

The choice of appropriate boundary conditions is a fundamental step in computational fluid dynamics (CFD) simulations of the cardiovascular system. Boundary conditions, in fact, highly affect the computed pressure and flow rates, and…

For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian…

Numerical Analysis · Mathematics 2016-04-20 Guillaume Dechristé , Luc Mieussens

Cerebral autoregulation (CA) is a fundamental mechanism that modulates cerebrovascular resistance, primarily by regulating the diameter of small cerebral vessels to maintain stable cerebral blood flow (CBF) in response to fluctuations in…

Medical Physics · Physics 2025-09-15 Qi Zhang , Meng-di Yang , Xuan-hao Xu , Xiu-li Xu , Shuai Tian , Li-ling Hao

Bayesian optimization (BO) based on Gaussian process regression (GPR) is applied to different CFD (computational fluid dynamics) problems which can be of practical relevance. The problems are i) shape optimization in a lid-driven cavity to…

Fluid Dynamics · Physics 2021-11-15 Y. Morita , S. Rezaeiravesh , N. Tabatabaei , R. Vinuesa , K. Fukagata , P. Schlatter

Optimal control of turbulent mixed-convection flows has attracted considerable attention from researchers. Numerical algorithms such as Genetic Algorithms (GAs) are powerful tools that allow to perform global optimization. These algorithms…

Computational Engineering, Finance, and Science · Computer Science 2020-09-25 M. Oulghelou , C. Beghein , C. Allery

Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often simulated by…

Computational Physics · Physics 2015-04-22 Sebastian Acosta , Charles Puelz , Beatrice Riviere , Daniel J. Penny , Craig G. Rusin

Computational modeling of the brain has become a key part of understanding how the brain clears metabolic waste, but patient-specific modeling on a significant scale is still out of reach with current methods. We introduce a novel approach…

Quantitative Methods · Quantitative Biology 2025-06-12 Andreas Solheim , Geir Ringstand , Per Kristian Eide , Kent-Andre Mardal

An automatic elastic registration method suited for vascularized organs is proposed. The vasculature in both the preoperative and intra-operative images is represented as a graph. A typical application of this method is the fusion of…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Jaime Garcia Guevara , Igor Peterlik , Marie-Odile Berger , Stéphane Cotin

Image-based, patient-specific modelling of hemodynamics can improve diagnostic capabilities and provide complementary insights to better understand the hemodynamic treatment outcomes. However, computational fluid dynamics simulations remain…

Numerical Analysis · Mathematics 2025-02-18 Francesco Romor , Felipe Galarce , Jan Brüning , Leonid Goubergrits , Alfonso Caiazzo

This paper presents a framework that supports the implementation of parallel solutions for the widespread parametric maximum flow computational routines used in image segmentation algorithms. The framework is based on supergraphs, a special…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Vlad Olaru , Mihai Florea , Cristian Sminchisescu

Coronary heart disease (CHD) remains a top reason of mortality worldwide. This study introduces a novel approach by integrating patient-specific Multi-slice CT scans into CAD models and employing a one-dimensional numerical framework to…

Medical Physics · Physics 2025-07-01 Oeshee Roy , Priyanshu Ghosh , Sayan Karmakar , Supratim Saha

Most genetic algorithms (GAs) used in literature to solve control problems are time consuming and involve important storage memory requirements. In fact, the search in GAs is iteratively performed on a population of chromosomes (control…

Optimization and Control · Mathematics 2019-03-12 M. Oulghelou , C. Allery

We address the problem of controlling Connected and Automated Vehicles (CAVs) in conflict areas of a traffic network subject to hard safety constraints. It has been shown that such problems can be solved through a combination of tractable…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Ehsan Sabouni , Christos G. Cassandras , Wei Xiao , Nader Meskin

Fractional flow reserve (FFR) is the gold standard for diagnosing coronary artery disease (CAD). FFRCT uses computational fluid dynamics (CFD) to evaluate FFR non-invasively by simulating coronary flow in geometries reconstructed from…

Optimal transportation provides a means of lifting distances between points on a geometric domain to distances between signals over the domain, expressed as probability distributions. On a graph, transportation problems can be used to…

Optimization and Control · Mathematics 2018-03-26 Montacer Essid , Justin Solomon

Purpose- Coarctation of the Aorta (CoA) patient-specific computational fluid dynamics (CFD) studies in resource constrained settings are limited by the available imaging modalities for geometry and velocity data acquisition. Doppler…

Computational Engineering, Finance, and Science · Computer Science 2025-06-04 Vincent Milimo Masilokwa Punabantu , Malebogo Ngoepe , Amit Kumar Mishra , Thomas Aldersley , John Lawrenson , Liesl Zuhlke

Computational fluid dynamics (CFD) studies have been increasingly used for blood flow simulations in intracranial aneurysms (ICAs). However, despite the continuous progress of body-fitted CFD solvers, generating a high quality mesh is still…

Computational Engineering, Finance, and Science · Computer Science 2020-07-28 D. S. Lampropoulos , G. C. Bourantas , B. F. Zwick , G. C. Kagadis , A. Wittek , K. Miller , V. C. Loukopoulos

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino