MATHEMATICAL MODELING: An application of Poiseuille's Law and the Riemann Integral to calculate blood flow in a blocked artery

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Bol One of the causes that can lead to a heart attack is the difficulty in supplying the myocardium with oxygen and nutrients. This can occur due to a reduction in the cross-sectional area of the aorta due to the accumulation of cholesterol in its walls, causing blood circulation in the heart, which works as a mechanical pump, to be absent or diminished. This study aims to understand the relationship between blood flow in a normal vein and in an obstructed one and to establish comparisons between the different percentages of obstructions caused by the accumulation of cholesterol in the blood vessel.

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One of the causes that can lead to a heart attack is the difficulty in supplying the myocardium with oxygen and nutrients. This can occur due to a reduction in the cross-sectional area of the aorta due to the accumulation of cholesterol in its walls, causing blood circulation in the heart, which works as a mechanical pump, to be absent or diminished. This study aims to understand the relationship between blood flow in a normal vein and in an obstructed one and to establish comparisons between the different percentages of obstructions caused by the accumulation of cholesterol in the blood vessel.


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