Medicine >> Hospital

Blood Flux Through Integration

by Carter Williams


Submitted : Fall 2015

Modern day medicine has become advanced enough that most mathematical equations are done through programs on computers to provide quicker and more accurate results. For instance, measuring blood flow in a vein or artery at a specific cross section per unit of volume (called the flux) can be measured using probes that are injected into the veins which measure both the density of the cross section as well as the speed at which the probe begins to flow in the cross section. With this method doctors are able to get accurate results in a matter of minutes which allows for better time management in a hospital setting. For this project I chose to explain how these probes accomplish what they do in terms of their mathematical calculations. To do so I resorted to integration which measures the area under a curve which in this case would be the walls of the vein in the cross section. By doing so it can be seen that the total area between two ends of the vein wall will represent the volume of blood in that cross section.

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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Gary Williams, Shriners Hospitals for Children
Suggested By :
Carter Williams