DOI:
https://doi.org/10.14483/22484728.14410Published:
2019-01-31Issue:
Vol. 13 No. 1 (2019)Section:
A Case-Study VisionModelling of the carotid artery
Modelamiento de la arteria carótida
Keywords:
Carotid artery, Characteristics, Electrical circuit, Laws of Poiseuille, Modelling, Pressure (en).Keywords:
Arteria carótida, Características, Circuito eléctrico, Leyes de Poiseuille, Modelado, Presión (es).Downloads
Abstract (en)
This study presents a modelling for the carotid artery that allows to analyze the theoretical behavior of pressure, flow and arterial volume in it, from the variation of both physical and physiological characteristics, such as: the thickness and length of the vessel blood, the viscosity and density of blood; determinants in the study of the normal functionality of the artery. The model of the arterial vessel –an adaptation of the Windkessel model of three elements, reported by Westerhof and Stergiopulos–, consists of an electrical circuit composed of passive RLC elements. The arterial segment was analyzed by mathematical and computational tools, relating Poiseuille's laws and electric laws. The pressure, flow and volume curves were obtained when changes occurred in the measurable characteristics of the carotid artery, in order to facilitate the medical interpretation of possible pathologies related to these changes.
Abstract (es)
Este estudio presenta un modelado para la arteria carótida que permite analizar el comportamiento teórico de la presión, el flujo y el volumen arterial en ella, a partir de la variación de características tanto físicas como fisiológicas tales como: el espesor y longitud del vaso sanguíneo, la viscosidad y densidad de la sangre; determinantes en el estudio de la funcionalidad normal de tal arteria. El modelo del vaso arterial, –una adaptación del modelo de Windkessel de tres elementos reportado por Westerhof y Stergiopulos–, consiste en un circuito eléctrico compuesto de elementos pasivos RLC. El segmento arterial se analizó mediante herramientas matemáticas y computacionales, relacionando las leyes de Poiseuille y las leyes eléctricas. Se obtuvieron las curvas de presión, flujo y volumen, cuando ocurrían cambios en las características medibles de la arteria carótida, con el fin de facilitar la interpretación médica de posibles patologías relacionadas con estos cambios.
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