Mathematical Modeling of Blood Flow Dynamics in the Cardiovascular System: Assumptions, Considerations, and Simulation Results
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Mathematical modeling, Equations describing cardiovascular system, Blood flow dynamics, Non-newtonian fluid behaviour Differential equations, Pressure regulation in circulatory system.
Abstract
The study of fluid dynamics is crucial to understanding fluid flow in the human body, and cardiovascular physics places a lot of concentration on blood flow modelling. Nevertheless, the models that have been created thus far with three-dimensional analysis are extremely complex. This research work offers study of blood pressure, flow and other flow-related parameters. Modelling artery was an extensible circular pipe with oscillating blood flow. Understanding factors that could lead to high blood pressure as one of the reasons for studying blood flow. The cardiovascular system equation is a straightforward differential equation that was developed under certain assumptions using Navier-Stokes equations. Generic study of normal blood flow was then created by applying some assumptions to the equation for the cardiovascular system. Poisuelli's equation was then used to extend this model to account for normal blood pressure. Upon completion of this study, an analysis was conducted to ascertain the validity of the suggested problem. According to the analysis, the model is able to account for various blood pressure and other flow characteristics of blood.
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