A Mathematical Model for Blood Flow under Periodic Acceleration

Abdalla W. Isaac and Mikhial Mathuieu


Finite Hankel, Laplace transforms, Pulsatile, Acceleration, velocity


This article deals with a mathematical model for pulsatile blood flow through a circular tube under periodic body acceleration. Using the finite Hankel and Laplace transforms, exact solutions for blood properties were obtained. It was observed that the solution could be used for all feasible values of pulsatile blood flow during sports activities (under periodic body acceleration). Using physiological data, qualitative and quantitative results were obtained. The results obtained are discussed, with qualitative and quantitative comparison to other research. It was observed that the magnitude of the blood flow characteristics significantly increased with increasing red cell concentration.

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