Herramienta para visualizar flujo sanguíneo en una arteria

Atherosclerosis is a disease that causes alterations in the blood flow and risk of amputation, due to the lumen of the artery is reduced. This project aims to estimate the alterations of blood flow in the arteries by means of a mathematical model. The model allows to simulate the blood flow on the geometry of an artery, using the finite element method (FEM). The mathematical model is based on the Navier - Stokes equations, which govern the behavior of the fluids and allow the pressure and velocity fields to be obtained [1]. The development of the project was divided into four stages. 1) Development of the mathematical model, 2) Reconstruction of the artery, 3) Simulation of blood flow in the reconstructed artery, 4) Design the tool to visualize results. The geometry of the artery is obtained through an angiography, which is a variant of computed tomography (CT). CT images are processed to obtain digital reconstruction of the artery. The development of the tool did not characterize the actual blood flow in the patient’s artery, only data reported in the literature were taken. The simulation was performed in a two-dimensional (2D) plane, over a 10 cm section of the femoral artery, in which all variables and real conditions of blood flow were not considered. The error of the mathematical model is less than 3x〖10〗^(-2). Which is an acceptable error for this type of simulations. The results are close to those reported in the scientific literature for pressure and velocity. The velocity field obtained has a laminar behavior, where the greatest velocity is in the center of the artery and decreases as it approaches the walls of the artery. For the pressure field the results obtained are a little lower than the real ones, but acceptable, because not all the real conditions of the artery and of the blood flow were considered. As future works, it is recommended to implement the mathematical model in three dimensions and investigate about more real boundary conditions.

• Autores: Naranjo Ariza, Camilo Andrés; Villa Ojeda, Andrés Felipe
• Fecha de publicación: 2016
• Institución: Universidad del Norte
• Repositorio: Repositorio Uninorte
• Idioma: eng
• OAI Identifier: oai:manglar.uninorte.edu.co:10584/5866
• Acceso en línea: http://hdl.handle.net/10584/5866
• Palabra clave: Flujo sanguíneo, campos de presión, campos de velocidad, Método de elementos finitos.; Blood flow, Pressure field, Velocity field, Finite element method.
• License: Universidad del Norte