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We propose a hemodynamic reduced-order model bridging macroscopic and meso-scopic blood flow circulation scales from arteries to capillaries. In silico tree like vascular geometries, mathematically described by graphs, are synthetically…

Medical Physics · Physics 2019-07-29 Olivier Adjoua , Stéphanie Pitre-Champagnat , Didier Lucor

Analysing the haemodynamics of flow in carotid artery disease serves as a means to better understand the development and progression of associated complex diseases. Carotid artery disease can predispose people to major adverse…

Human blood flow is a multi-scale problem: in first approximation, blood is a dense suspension of plasma and deformable red cells. Physiological vessel diameters range from about one to thousands of cell radii. Current computational models…

Soft Condensed Matter · Physics 2015-03-17 Florian Janoschek , Federico Toschi , Jens Harting

We performed numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruction of the variables at the interface of each mesh cell. The…

Numerical Analysis · Mathematics 2015-09-15 Olivier Delestre , Arthur Ghigo , Jose-Maria Fullana , Pierre-Yves Lagrée

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…

Cerebral autoregulation plays a key physiological role by limiting blood flow changes in the face of pressure fluctuations. Although the involved cellular processes are mechanically driven, the quantification of haemodynamic forces in…

Quantitative Methods · Quantitative Biology 2024-11-15 Alberto Coccarelli , Ioannis Polydoros , Alex Drysdale , Osama F. Harraz , Chennakesava Kadapa

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

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…

Fluid Dynamics · Physics 2021-08-20 J. W. S. McCullough , P. V. Coveney

The influence of blood rheology on hemodynamic parameters is investigated using Computational Fluid Dynamics on blood flow through the human carotid artery. We performed three-dimensional modeling and simulation to study blood flow through…

Fluid Dynamics · Physics 2024-02-21 Hashnayne Ahmed , Chinmayee Podder

In this paper, we are concerned with the simulation of blood flow in microvascular networks and the surrounding tissue. To reduce the computational complexity of this issue, the network structures are modeled by a one-dimensional graph,…

Numerical Analysis · Mathematics 2023-05-01 Ettore Vidotto , Timo Koch , Tobias Köppl , Rainer Helmig , Barbara Wohlmuth

We report computational results of blood flow through a model of the human aortic arch and a vessel of actual diameter and length. On the top of the aortic arch the branching of the %%three arteries are included: the subclavian and jugular.…

Fluid Dynamics · Physics 2008-11-11 Renat A. Sultanov , Dennis Guster

Altered hemodynamics play a key role in cerebrovascular diseases such as aneurysms and stenosis. However, in vivo imaging lacks the spatial resolution required to resolve flow dynamics in small vessels. This study presents an experimental…

Fluid Dynamics · Physics 2026-05-25 Job van Essen , Ahmed Sharaf , Denzel Hopman , Selene Pirola , Paola Fanzio

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…

Quantitative Methods · Quantitative Biology 2020-02-21 Megan J. Chambers , Mitchel J. Colebank , M Umar Qureshi , Rachel Clipp , Mette S. Olufsen

We consider an immersed elastic body that is actively driven through a structured fluid by a motor or an external force. The behavior of such a system generally cannot be solved analytically, necessitating the use of numerical methods.…

Soft Condensed Matter · Physics 2023-02-15 Carlos Floyd , Suriyanarayanan Vaikuntanathan , Aaron Dinner

This study investigates the hemodynamic behavior of blood flow in the aortic arch across anemic, diabetic, and healthy conditions using computational fluid dynamics (CFD) simulations with a non-Newtonian Carreau viscosity model. Velocity…

Fluid Dynamics · Physics 2025-06-23 Farzana Akter Tina , Hashnayne Ahmed , Hena Rani Biswas

In this study, we present a comprehensive numerical analysis of blood flow within human left ventricle models, with particular emphasis on optimizing simulation conditions to enhance the realism and computational efficiency of heart flow…

This study uses a one dimensional fluid dynamics arterial network model to infer changes in hemodynamic quantities associated with pulmonary hypertension in mice. Data for this study include blood flow and pressure measurements from the…

Mathematical modelling of the microcirculatory hemodynamics in the retina is an essential tool for understanding various diseases of the retina, yet remains challenging due to the multiscale nature of the retinal vasculature and its…

Biological Physics · Physics 2026-04-28 Chang Lin , Zilong Song , Robert Eisenberg , Shixin Xu , Huaxiong Huang

Background and Objective: The role of red blood cell dynamics is emphasised in certain cardiovascular diseases, and thus needs to be closely studied. A multiphase model of blood flow allows the resolution of locally varying density of red…

Fluid Dynamics · Physics 2021-10-07 Konstantinos G. Lyras , Jack Lee

Predictive modeling of blood flow and pressure have numerous applications ranging from non-invasive assessment of functional significance of disease to planning invasive procedures. While several such predictive modeling techniques have…

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