# Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties

@article{Ghigo2017LowShapiroHR, title={Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties}, author={Arthur R. Ghigo and Olivier Delestre and Jose-Maria Fullana and Pierre-Yves Lagr{\'e}e}, journal={J. Comput. Phys.}, year={2017}, volume={331}, pages={108-136} }

## 12 Citations

### A 2D nonlinear multiring model for blood flow in large elastic arteries

- EngineeringJ. Comput. Phys.
- 2017

### Modeling blood flow in networks of viscoelastic vessels with the 1D augmented fluid-structure interaction system

- EngineeringJ. Comput. Phys.
- 2022

### 1D generalized time dependent non Newtonian blood flow model

- Engineering
- 2017

Alterations in whole blood viscosity due to hemodialysis, pathologies or a low stress hemo-dynamic blood flow impact the viscosity generating local changes in blood pressure, blood flow rate, vessel…

### Reduced-order models for blood flow in networks of large arteries

- Engineering, Biology
- 2017

This work has focused on one-dimensional models for blood flow and developed novel approaches that take into account the non-Newtonian behavior of blood and the viscoelastic response of the arterial wall, and proposed a fluid-structure interaction twodimensional blood flow model to capture the complex flow patterns in stenoses and aneurysms unavailable to classical one- dimensional models.

### A WELL-BALANCED AND ENTROPY STABLE SCHEME FOR A REDUCED BLOOD FLOW MODEL

- Computer Science
- 2021

The result is computationally inexpensive and easy-to-implement explicit entropy stable scheme for the blood low model and it is proven that the scheme is well-balanced (i.e., preserves certain steady solutions of the model) and numerical examples are presented.

### Reduced-Order Models for Blood Pressure Drop Across Arterial Stenoses

- Engineering
- 2019

Stenosis, defined by a partial or full obstruction of the arteries, is a frequent anomaly in the cardiovascular system. The pressure drop across a stenosis indicates the severity of the pathology.…

### Distribution of Flow in an Arteriovenous Fistula Using Reduced-order Models.

- Medicine, EngineeringJournal of biomechanical engineering
- 2021

This study investigated the impact of the creation of an AVF with a zero-dimensional network model of the vascular system of an upper limb and a one-dimensional model around the anastomosis and found that the model reproduced the Doppler measurements of flow rate in every configuration and predicted the distribution of flow in cases where the Dooppler was not available.

### Parameter estimation to study the immediate impact of aortic cross‐clamping using reduced order models

- EngineeringInternational journal for numerical methods in biomedical engineering
- 2019

Two numerical models to estimate the immediate impact of aortic clamping on the vascular properties were developed and gave an accurate description of the pressure wave and had a high correlation with experimental blood pressure data.

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In this paper we derive a set of equations which can be used to study wall deformations and transmural pressure at the anchoring sites of endovascular prostheses. The equations are the jump…

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