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In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system. In particular, we will focus our attention on the problem of haemodynamics in large human arteries.

动力系统 · 数学 2007-05-23 Alfio Quarteroni

Blood system functions are very diverse and important for most processes in human organism. One of its primary functions is matter transport among different parts of the organism including tissue supplying with oxygen, carbon dioxide…

生物物理 · 物理学 2007-12-31 A. S. Kholodov , S. S. Simakov , Y. A. Kholodov , A. A. Nadolsky , A. N. Shushlebin

The circulatory system, comprising the heart and blood vessels, is vital for nutrient transport, waste removal, and homeostasis. Traditional computational models often treat cardiac electromechanics and blood flow dynamics separately,…

In this article, we review the mathematical modeling for the vascular system.

组织与器官 · 定量生物学 2021-04-23 Ju Liu , Ingrid S. Lan , Alison L. Marsden

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,…

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…

流体动力学 · 物理学 2024-11-26 Eneko Lazpita , Andrea Mares , Pedro Quintero , Jesús Garicano-Mena , Soledad Le Clainche

Physiological whole-body models are valuable tools for the development of novel drugs where understanding the system aspects is important. This paper presents a generalized model that encapsulates the structure and flow of whole-body human…

Cardiovascular diseases are the leading cause of death. Increased levels of plasma cholesterol are consistently associated with an increased risk of cardiovascular disease. As a result, it is imperative that studies are conducted to…

Numerous are the questionings raised by medicine interventionnelle, concerning the hold in charge of the pathologies of the arterial partition (aneurysm, dissection, coarctation, atherosclerosis).for it we made the modeling and the numeric…

流体动力学 · 物理学 2009-06-29 H . Alla , M. S. Gueblaoui , M. H. Bensaid

The blood vascular system consists of blood vessels such as arteries, arterioles, capillaries and veins that convey blood throughout the body. The pressure difference which exists between the ends of the vessels provides the living force…

组织与器官 · 定量生物学 2020-04-21 Tahmineh Azizi , Robert Mugabi

Computational hemodynamics is becoming an increasingly important tool in clinical applications and surgical procedures involving the cardiovascular system. Aim of this review is to provide a compact summary of state of the art 0D-1D…

医学物理 · 物理学 2022-01-03 Stefania Scarsoglio , Luca Ridolfi

We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory…

Numerical simulations of real-world phenomena require a computational scheme and a computational domain. In the context of haemodynamics, the computational domain is the blood vessel network through which blood flows. Such networks contain…

离散数学 · 计算机科学 2025-02-19 Jay Aodh Mackenzie , Megan Jeanne Miller , Nicholas Hill , Mette Olufsen

Patient-specific computational models of the heart are powerful tools for cardiovascular research and medicine, with demonstrated applications in treatment planning, device evaluation, and surgical decision-making. Yet constructing such…

医学物理 · 物理学 2026-04-21 Aaron L. Brown , Ju Liu , Daniel B. Ennis , Alison L. Marsden

The introduction of computational models in cardiovascular sciences has been progressively bringing new and unique tools for the investigation of the physiopathology. Together with the dramatic improvement of imaging and measuring devices…

We present a novel mathematical model that simulates myocardial blood perfusion by embedding multiscale and multiphysics features. Our model incorporates cardiac electrophysiology, active and passive mechanics, hemodynamics, reduced valve…

计算工程、金融与科学 · 计算机科学 2023-03-27 Alberto Zingaro , Christian Vergara , Luca Dede' , Francesco Regazzoni , Alfio Quarteroni

Many of the intriguing properties of blood originate from its cellular nature. Bulk effects, such as viscosity, depend on the local shear rates and on the size of the vessels. While empirical descriptions of bulk rheology are available for…

计算工程、金融与科学 · 计算机科学 2023-05-05 Gabor Zavodszky , Christian Spieker , Benjamin Czaja , Britt van Rooij

We present a new computational model for the numerical simulation of blood flow in the human left heart. To this aim, we use the Navier-Stokes equations in an Arbitrary Lagrangian Eulerian formulation to account for the endocardium motion…

Morphology of cardiovascular tissue is influenced by the unsteady behavior of the blood flow and vice versa. Therefore, the pathogenesis of several cardiovascular diseases is directly affected by the blood-flow dynamics. Understanding flow…

This work is dedicated to the simulation of full cycles of the electrical activity of the heart and the corresponding body surface potential. The model is based on a realistic torso and heart anatomy, including ventricles and atria. One of…

医学物理 · 物理学 2015-09-04 Elisa Schenone , Annabelle Collin , Jean-Frédéric Gerbeau
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