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Changes in cardiovascular hemodynamics are closely related to the development of aortic regurgitation, a type of valvular heart disease. Metrics derived from blood flows are used to indicate aortic regurgitation onset and evaluate its…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Derek Long , Cameron McMurdo , Edward Ferdian , Charlene A. Mauger , David Marlevi , Alistair A. Young , Martyn P. Nash

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…

The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an…

Numerical Analysis · Mathematics 2017-08-23 Yuanxun Bao , Aleksandar Donev , Boyce E. Griffith , David M. McQueen , Charles S. Peskin

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

A major challenge in the computational fluid dynamics modeling of the heart function is the simulation of isovolumetric phases when the hemodynamics problem is driven by a prescribed boundary displacement. During such phases, both…

Numerical Analysis · Mathematics 2022-08-25 Alberto Zingaro , Michele Bucelli , Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

We present a new method for the geometric reconstruction of elastic surfaces simulated by the immersed boundary method with the goal of simulating the motion and interactions of cells in whole blood. Our method uses parameter-free radial…

Numerical Analysis · Mathematics 2022-08-31 Andrew Kassen , Aaron Barrett , Varun Shankar , Aaron L. Fogelson

Valvular heart diseases are growing concern in impoverished parts of the world, such as Southern-Africa, claiming more than 31 % of total deaths related to cardiovascular diseases. The ability to model the effects of regurgitant and…

Medical Physics · Physics 2022-04-11 Ryno Laubscher , Jacques Liebenberg , Philip Herbst

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

There are more than 300,000 heart valves implanted annually worldwide with about 50% of them being mechanical valves. The heart valve replacement is often a common treatment for severe valvular disease. However, valves may dysfunction…

Fluid Dynamics · Physics 2018-03-12 Fardin Khalili , Peshala T. Gamage , Hansen Mansy

Mechanical heart valve replacement is the preferred alternative in younger patients with severe symptomatic aortic valve disease. However, thrombus and pannus formations are common complications associated with bileaflet mechanical heart…

Medical Physics · Physics 2019-11-14 Ahmed Darwish , Giuseppe Di Labbio , Wael Saleh , Othman Smadi , Lyes Kadem

Fluid-structure systems occur in a range of scientific and engineering applications. The immersed boundary(IB) method is a widely recognized and effective modeling paradigm for simulating fluid-structure interaction(FSI) in such systems,…

Numerical Analysis · Mathematics 2022-06-10 Ebrahim M. Kolahdouz , Amneet Pal Singh Bhalla , Brent A. Craven , Boyce E. Griffith

This paper presents a novel volume of fluid ghost-cell immersed boundary (IB) method for two-phase free surface flow interacting with structures. To circumvent the disturbance occurring around the intersection area of the IB and free…

Fluid Dynamics · Physics 2024-09-16 Fan Chen , Jinghua Wang , Huan-Feng Duan

The aortic valve is a three-leaflet passive structure that, driven by pressure differences between the left ventricle and the aorta, opens and closes during the heartbeat to ensure the correct stream direction and flow rate. In elderly…

Fluid Dynamics · Physics 2021-03-30 Francesco Viola , Valentina Meschini , Roberto Verzicco

The aortic vessel tree is composed of the aorta and its branching arteries, and plays a key role in supplying the whole body with blood. Aortic diseases, like aneurysms or dissections, can lead to an aortic rupture, whose treatment with…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Yuan Jin , Antonio Pepe , Jianning Li , Christina Gsaxner , Fen-hua Zhao , Kelsey L. Pomykala , Jens Kleesiek , Alejandro F. Frangi , Jan Egger

This work is concerned with modeling and simulation of the mitral valve, one of the four valves in the human heart. The valve is composed of leaflets, the free edges of which are supported by a system of chordae, which themselves are…

Tissues and Organs · Quantitative Biology 2020-11-19 Alexander D. Kaiser , David M. McQueen , Charles S. Peskin

To accurately simulate all phases of the cardiac cycle, computational models of hemodynamics in heart chambers need to include a sufficiently faithful model of cardiac valves. This can be achieved efficiently through resistive methods, and…

Numerical Analysis · Mathematics 2025-06-05 Michele Bucelli , Luca Dede'

The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

Numerical Analysis · Mathematics 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

Around the third week after gestation in embryonic development, the human heart consists only of a valvless tube, unlike a fully developed adult heart, which is multi-chambered. At this stage in development, the heart valves have not formed…

Tissues and Organs · Quantitative Biology 2018-09-19 Nicholas A. Battista , Andrea N. Lane , Laura A. Miller

The Immersed Boundary Method (IBM) is one of the popular one-fluid mixed Eulerian-Lagrangian methods to simulate motion of droplets. While the treatment of a moving complex boundary is an extremely time consuming and formidable task in a…

Computational Physics · Physics 2018-07-30 Chia Rui Ong , Hiroaki Miura

Purpose: The mechanics of the mitral valve leaflet as a nonlinear, inelastic and anisotropic soft tissue results from an integrated response of many mathematical/physical indexes' that illustrate the tissue. In the past decade, finite…

Medical Physics · Physics 2015-06-24 Mersedeh Karvandi , Saeed Ranjbar , Seyed Ahmad Hassantash , Mahnoosh Foroughi