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Mathematical modeling of fluid dynamics for computer graphics requires high levels of theoretical rigor to ensure visually plausible and computationally efficient simulations. This paper presents an in-depth theoretical framework analyzing…

Fluid Dynamics · Physics 2024-11-05 Rômulo Damasclin Chaves dos Santos

Background. Different mechanisms have been proposed to relate atrial fibrillation (AF) and coronary flow impairment, even in absence of relevant coronary artery disease (CAD). However, the underlying hemodynamics remains unclear. Aim of the…

Medical Physics · Physics 2019-04-17 Stefania Scarsoglio , Caterina Gallo , Andrea Saglietto , Luca Ridolfi , Matteo Anselmino

A minimal model for mechanical motion of the left ventricle is proposed. The model assumes the left ventricle to be a harmonic oscillator with two distinct phases, simulating the systolic and diastolic phases, at which both the amplitude…

Medical Physics · Physics 2007-05-23 S. Dubi , C. Dubi , Y. Dubi

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

Fluid Dynamics · Physics 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

The immersed boundary (IB) method is a mathematical framework for fluid-structure interaction problems (FSI) that was originally developed to simulate flows around heart valves. Direct comparison of FSI simulations around heart valves…

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

Recent \emph{in vivo} experiments have illustrated the importance of understanding the hemodynamics of heart morphogenesis. In particular, ventricular trabeculation is governed by a delicate interaction between hemodynamic forces,…

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

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

Fluid Dynamics · Physics 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

A circulation redistribution scheme for viscous flow is presented. Unlike other redistribution methods, it operates by transferring the circulation to a set of fixed nodes rather than neighbouring vortex elements. A new distribution of…

Fluid Dynamics · Physics 2010-09-02 O. R. Tutty

We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will…

Numerical Analysis · Mathematics 2013-04-24 Olivier Delestre , Pierre-Yves Lagrée

We study the flow dynamics inside a high-speed rotating cylinder after introducing strong symmetry-breaking disturbance factors at cylinder wall motion. We propose and formulate a mathematically robust stochastic model for the rotational…

Fluid Dynamics · Physics 2021-03-04 Ali Akhavan-Safaei , S. Hadi Seyedi , Mohsen Zayernouri

A simple - yet plausible - model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of an ideal fluid rotating around the axis of symmetry of the…

Dynamical Systems · Mathematics 2009-11-13 Denis Blackmore , Morten Brons , Arnaud Goullet

The liver has a unique blood supply system and plays an important role in the human blood circulatory system. Thus, hemodynamic problems related to the liver serve as an important part in clinical diagnosis and treatment. Although…

Numerical Analysis · Mathematics 2021-10-15 Ting Wu , Keqin Liu , Emily Fainman , Ying Wang

We numerically investigate the influence of flow development on secondary flow patterns and subsequent wall shear stress distributions in a curved artery model, and we compute vascular metrics commonly used to assess variations in blood…

Fluid Dynamics · Physics 2022-09-20 Christopher Cox , Michael W. Plesniak

One-dimensional blood flow model accuracy has been verified in many studies. This work is about introducing gravity into a one-dimensional model. For this purpose, gravitational force was introduced into the existing model. The boundary…

Fluid Dynamics · Physics 2023-06-27 Oleg Shramko , Andrey Svitenkov , Pavel Zun

The accurate quantification of left ventricular (LV) deformation/strain shows significant promise for quantitatively assessing cardiac function for use in diagnosis and therapy planning (Jasaityte et al., 2013). However, accurate estimation…

Electrical analogy (Lumped method) is an easy way to model human cardiovascular system. In this paper Lumped method is used for simulating a complete model. It describes a 36-vessel model and cardiac system of human body with details that…

Medical Physics · Physics 2014-11-21 Omid Ghasemalizadeh , Mohammad Reza Mirzaee , Bahar Firoozabadi , Kamran Hassani

The left atrium (LA) plays a pivotal role in modulating left ventricular filling, but our comprehension of its hemodynamics is significantly limited by the constraints of conventional ultrasound analysis. 4D flow magnetic resonance imaging…

Medical image segmentation is one of the important tasks of computer-aided diagnosis in medical image analysis. Since most medical images have the characteristics of blurred boundaries and uneven intensity distribution, through existing…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Sixing Yin , Yameng Han , Shufang Li