Go with the Flow

by Helen Pham

Submitted : Fall 2019

In this experiment, we will be using calculus to show how glyceryl trinitrate (GTN) spray changes the rate of blood flow in patients with vasospastic angina (VSA). VSA is severe chest pain resulting from inadequate blood flow to the heart with the added effect of a spasm in the artery next to the heart resulting in decreased blood flow to the rest of the body. GTN commonly referred to as nitro is a vasodilator that widens the radius of blood vessels to allow for more blood to get through when there is a blockage or impedance. In the experiment, we will be monitoring the patients’ brachial arteries in sections 2 cm apart. Blood flow will then be measured before and after the administration of GTN spray. The change in diameter of the vessel upon administration of GTN will precede to be observed. Viscosity was accounted for, but in this case, the variable didn't affect the blood flow. In the end, we found a positive correlation between the use of GTN and higher blood flow which will result in lower blood pressure. To prove the data we used the mathematical formula Poiseuille's law which is commonly used for calculations involving blood flow and cardiac output.

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