• BLOOD FLOW IN ARTERIOLES: A MATHEMATICAL STUDY

Abstract

Blood flow is a study of measuring of the blood pressure and finding the flow through the blood vessel. In human body the arterioles have the greatest collective influence on both local blood flow and on the over all blood pressure. They are primary “adjustable nozzles” in the blood circulation system in human body, across which the greatest pressure drop occurs. In this paper a mathematical modeling of blood flow through arterioles is presented which is derived from the Navier-Stock equations and some assumptions. A system of non linear differential equations for blood flow and the cross sectional area of the arterioles was obtained. MATLAB programming techniques were adopted to solve the equations. The results obtained are very sensitive to the values of the initial conditions and this helps to explain the condition of hypertension.