Abstract
The normal human heart is a strong muscular two-stage pump which pumps continuously through the circulatory system. It is a four-chambered pump that controls blood through a series of valves in one direction. Blood flow through a blood vessel, such as vein and artery, can be modeled by Poiseuille’s law which establishes a relationship between velocity of blood and the radius of the vessel. Our goal here is to solve the differential equations numerically by replacing with algebraic equations to obtain approximate solutions of velocity. We will walk through the development of the simulation procedure to visualize how blood flows in steady state. At the end of the chapter, students will be able to do projects on their own to visualize the flow simulation in one dimension.
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Pati, A.N., Ladipo, K.O. (2022). Numerical Simulation of Arterial Blood Flow. In: Goldwyn, E.E., Ganzell, S., Wootton, A. (eds) Mathematics Research for the Beginning Student, Volume 2. Foundations for Undergraduate Research in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-08564-2_2
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