Construção de uma ferramenta computacional para simulação hemodinâmica em modelos 1D de árvores arteriais

Abstract

The blood flow in arterial tree models of the circulatory system is frequently studied to better understand this complex system. The hemodynamic simulation shows how the wave changes as it progresses through the geometric model. It is possible to extract analytical data without invasive procedures taking different flow characteristics into account. In this work, the following are presented: (i) an analytical scheme based on physical and mathematical laws to calculate the local characteristics of the pressure and flux wave in one-dimensional (1D) arterial tree’s models, (ii) a computational environment developed to simulate and visualize the results of the model’s construction and hemodynamic studies. The computational environment is composed of a data structure that integrates the concepts of an object-oriented language and other libraries with the adopted analytical scheme. The proposed data structure allows the computational environment to store, utilize and display different characteristics of an arterial tree. The data structure constructed two environments: (1) a console(terminal mode), and (2) a user interface. The class architecture objectives are to ensure the correct use of the libraries to simulate the mathematical model and to allow other mathematical models to be easily integrated posteriorly. The results produced in this work are consistent with real morphometric data and numeric data related in the literature. The computational tool that was built simulates hemodynamic characteristics in 1D arterial tree models and functions as a platform to investigate computational models.