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We use a method based on the lubrication approximation in conjunction with a residual-based mass-continuity iterative solution scheme to compute the flow rate and pressure field in distensible converging-diverging tubes for Navier-Stokes…

流体动力学 · 物理学 2015-04-30 Taha Sochi

We investigate flow of incompressible fluid in a cylindrical tube with elastic walls. The radius of the tube may change along its length. The discussed problem is connected to the blood flow in large human arteries and especially to…

流体动力学 · 物理学 2015-09-30 Zlatinka I. Dimitrova

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…

医学物理 · 物理学 2022-04-11 Ryno Laubscher , Jacques Liebenberg , Philip Herbst

This paper presents a numerical method for the simulation of multiscale materials composed of an elastic matrix and slender active inclusions. The setting is motivated by the modeling of vascularized tissues and by problems arising in the…

数值分析 · 数学 2025-08-19 Camilla Belponer , Alfonso Caiazzo , Luca Heltai

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…

数值分析 · 数学 2015-11-26 Attila Lovas , Róbert Nagy , Elek Csobo , Brigitta Szilágyi , Péter Sótonyi

We consider the Navier-Stokes equations in a channel with a narrowing and walls of varying curvature. By applying the empirical interpolation method to generate an affine parameter dependency, the offline-online procedure can be used to…

数值分析 · 数学 2020-06-24 Martin Hess , Annalisa Quaini , Gianluigi Rozza

Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for reduced models of pulsatile viscous fluid flow in networks…

流体动力学 · 物理学 2021-11-25 Cécile Daversin-Catty , Ingeborg G. Gjerde , Marie E. Rognes

Four-dimensional Flow MRI enables non-invasive, time-resolved imaging of blood flow in three spatial dimensions, offering valuable insights into complex hemodynamics. However, its clinical utility is limited by low spatial resolution and…

图像与视频处理 · 电气工程与系统科学 2026-03-17 Aurélien de Turenne , Rémi Cart-Lamy , Denis Kouamé

Detection and monitoring of patients with pulmonary hypertension, defined as mean blood pressure in the main pulmonary artery above 25 mmHg, requires a combination of imaging and hemodynamic measurements. This study demonstrates how to…

定量方法 · 定量生物学 2020-02-21 Megan J. Chambers , Mitchel J. Colebank , M Umar Qureshi , Rachel Clipp , Mette S. Olufsen

Many numerical studies of blood flow impose a rigid wall assumption due to the simplicity of its implementation compared to a full coupling to a solid mechanics model. In this paper, we present a localised method for incorporating the…

流体动力学 · 物理学 2021-08-20 J. W. S. McCullough , P. V. Coveney

With an aim to investigate the effect of externally imposed body acceleration and magnetic field on pulsatile flow of blood through an arterial segment having stenosis is under consideration in this paper. The flow of blood is presented by…

数值分析 · 数学 2012-09-25 G. C. Shit , M. Roy

The laboratory models of the human heart left ventricle developed in the last decades gave a valuable contribution to the comprehension of the role of the fluid dynamics in the cardiac function and to support the interpretation of the data…

流体动力学 · 物理学 2014-07-29 S. Fortini , G. Querzoli , S. Espa , A. Cenedese

We study the flow of a shear-thinning, chemically-reacting fluid that could be used to model the flow of the synovial fluid. The actual geometry where the flow of the synovial fluid takes place is very complicated, and therefore the…

数值分析 · 计算机科学 2014-09-01 Craig Bridges , Satish Karra , K. R. Rajagopal

Cardiovascular diseases (CVDs) are the leading causes of mortality worldwide. The contraction and relaxation of left ventricle (LV) is the main driving force of blood circulation. Altered LV hemodynamics is believed to be associated with…

医学物理 · 物理学 2019-11-04 Fanwei Kong , Christoph Augustin , Kevin Sack , Shawn Shadden

This paper worked towards modeling blood platelets. Blood platelets, also known as thrombocytes, play a key role in blood clotting which is a vital human function. Furthermore, the role of these entities in strokes, myocardial infarctions,…

细胞行为 · 定量生物学 2012-06-05 Vijay Viswanathan , Seetha Pothapragada

Coronary Artery Disease (CAD) diagnostic to be a major global cause of death, necessitating innovative solutions. Addressing the critical importance of early CAD detection and its impact on the mortality rate, we propose the potential of…

信号处理 · 电气工程与系统科学 2024-06-26 Atitaya Phoemsuk , Vahid Abolghasemi

In this study OpenFOAM 4.4.2 was used to investigate flow inside the coronary artery of the heart. This step is the first step of our future project, which is to include conjugate heat transfer of the heart with three main coronary…

医学物理 · 物理学 2021-07-19 Mohammadreza Nezamirad , Nasim Sabetpour , Azadeh Yazdi , Amirmasoud Hamedi

Intracranial aneurysms remain a major cause of neurological morbidity and mortality worldwide, where rupture risk is tightly coupled to local hemodynamics particularly wall shear stress and oscillatory shear index. Conventional…

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic…

偏微分方程分析 · 数学 2021-07-28 V. Kozlov , S. Nazarov , G. Zavorokhin

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…