Abstract
This article describes a three-dimensional model of fluid flow a mathematical model of the circulatory system for the cardiovascular system and provides a basic framework for the mathematical representation of cumulative medical parameters such as total vascular area, blood volume, self-regulation, and effects on the upper and inner heart. This article presents a mathematical model of the circulatory system for the cardiovascular system and is the basis for a mathematical view of aggregated medical parameters such as total vascular area, blood volume, self-regulation, and effects on the upper and inner state of the heart. Concepts are given. Linear dependence of mathematical concepts, differential, integral differential, as well as logical-dynamic equations, Navier-Stokes problems, and mathematical apparatus for their practical application are given and the principle of operation of the program based on this mathematical model has used UML diagrams which consist of results of Navier-Stokes. The program given is the numerical results of Navier-Stokes 2D and 3D integral and differential equations on the basic diagram U, V, W, and parameters. In mathematical terms, linear dependencies, differential, integral, and differential equations are used.
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Nurjabova, D., Sayyora, Q., Gulmira, P. (2023). Using Discretization and Numerical Methods of Problem 1D-3D-1D Model for Blood Vessel Walls with Navier-Stokes. In: Koucheryavy, Y., Aziz, A. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN 2022. Lecture Notes in Computer Science, vol 13772. Springer, Cham. https://doi.org/10.1007/978-3-031-30258-9_7
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