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Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis and the study of circulatory diseases, especially to obtain data that require otherwise invasive measurements. To correctly simulate body…

This paper presents a spline-based hexahedral mesh generator for tubular geometries commonly encountered in haemodynamics studies, in particular coronary arteries. We focus on techniques for accurately meshing vessels with stenoses and…

Numerical Analysis · Mathematics 2025-07-11 Fabio Marcinnó , Jochen Hinz , Annalisa Buffa , Simone Deparis

Computational fluid dynamics (CFD) simulation provides valuable information on blood flow from the vascular geometry. However, it requires extracting precise models of arteries from low-resolution medical images, which remains challenging.…

Computational Geometry · Computer Science 2023-06-14 Méghane Decroocq , Carole Frindel , Pierre Rougé , Makoto Ohta , Guillaume Lavoué

We propose a computational framework for vascular fluid-structure interaction (FSI), focusing on biomechanical modeling, geometric modeling, and solver technology. The biomechanical model is constructed based on the unified continuum…

Fluid Dynamics · Physics 2022-06-27 Ju Liu , Jiayi Huang , Qingshuang Lu , Yujie Sun

Mathematical models and numerical simulations are widely used in the field of hemodynamics, representing a valuable resource to better understand physiological and pathological processes. The theory behind the phenomenon is closely related…

Fluid Dynamics · Physics 2021-06-15 Giulia Bertaglia , Valerio Caleffi , Alessandro Valiani

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction between the fluid flow and the biological structure that contains it, namely the vessel wall. It has been demonstrated that the addition of a viscous…

Fluid Dynamics · Physics 2022-06-14 Francesco Piccioli , Giulia Bertaglia , Alessandro Valiani , Valerio Caleffi

State of the art research and treatment of biological tissues require accurate and efficient methods for describing their mechanical properties. Indeed, micromechanics motivated approaches provide a systematic method for elevating relevant…

Soft Condensed Matter · Physics 2012-05-04 Gal deBotton , Tal Oren

Computational fluid dynamics is intensively used to deepen the understanding of aneurysm growth and rupture in the attempt to support physicians during therapy planning. Numerous studies have assumed fully-rigid vessel walls in their…

Fluid Dynamics · Physics 2023-08-17 Aurèle Goetz , Pablo Jeken Rico , Yves Chau , Jacques Sédat , Aurélien Larcher , Elie Hachem

Cardiac fluid dynamics fundamentally involves interactions between complex blood flows and the structural deformations of the muscular heart walls and the thin, flexible valve leaflets. There has been longstanding scientific, engineering,…

This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles, motivated by the need to model flow in coiled aneurysm…

The flow simulation in alveolar region is imperative in understanding transport of particles and designing aerosol drug delivery systems. Air flow is dependent on alveolar geometry and ventilation conditions. In this work a three…

Fluid Dynamics · Physics 2018-06-04 M. Monjezi , A. Rouhollahi , M. S. Saidi , B. M. Afshary

Image-based modeling is essential for understanding cardiovascular hemodynamics and advancing the diagnosis and treatment of cardiovascular diseases. Constructing patient-specific vascular models remains labor-intensive, error-prone, and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Pan Du , Delin An , Chaoli Wang , Jian-Xun Wang

We present a two dimensional model describing the elastic behaviour of the wall of a curved blood vessel. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in…

Tissues and Organs · Quantitative Biology 2017-08-18 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov , David Rule

This paper presents a new method for modeling the mechanics of the aortic valve, and simulates its interaction with blood. As much as possible, the model construction is based on first principles, but such that the model is consistent with…

Tissues and Organs · Quantitative Biology 2021-10-15 Alexander D. Kaiser , Rohan Shad , William Hiesinger , Alison L. Marsden

Most machine learning-based coronary artery segmentation methods represent the vascular lumen surface in an implicit way by the centerline and the associated lumen radii, which makes the subsequent modeling process to generate a whole piece…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Haoyin Zhou , James K. Min , Guanglei Xiong

It has long been recognized that aortic root elasticity helps to ensure efficient aortic valve closure, but our understanding of the functional importance of the elasticity and geometry of the aortic root continues to evolve as increasingly…

Computational Engineering, Finance, and Science · Computer Science 2016-01-27 Vittoria Flamini , Abe DeAnda , Boyce E. Griffith

Pulmonary hypertension is a cardiovascular disorder manifested by elevated arterial blood pressure together with vessel wall stiffening and thickening due to alterations in collagen, elastin and smooth muscle cells. Hypoxia-induced (type 3)…

Tissues and Organs · Quantitative Biology 2022-02-28 Mansoor A. Haider , Katherine J. Pearce , Naomi C. Chesler , Nicholas A. Hill , Mette S. Olufsen

The development and progression of abdominal aortic aneurysms (AAA) are related to complex flow patterns and wall-shear-driven mechanobiological stimuli, yet the quantitative relationship between aneurysmal geometry and hemodynamics remains…

Deviation of blood flow from an optimal range is known to be associated with the initiation and progression of vascular pathologies. Important open questions remain about how the abnormal flow drives specific wall changes in pathologies…

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
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