Mathematics used in Magnetic Resonance Imaging.
Will Spencer, `13
Mathematics Major
MRI is an indispensable diagnostic tool in the medical field which may be used to
identify certain abnormalities in an individual in a noninvasive way. The mathematics behind
conversion of the data collected lays the foundation for making such data interpretable by
those who need to use it. I will briefly elaborate on the physics underlying nuclear
magnetic resonance to build an understanding of the concept, coupled with a very brief
description of what NMR is used for in the medical field. Then, I plan to discuss how the signals
collected are converted into images using mathematics.