Mathematics Graduate Student Colloquium

Deterministic Solutions to the Radiative Transport Equation and Their Application to Spatial Frequency Domain Imaging

Sean Horan
Wednesday, December 5, 2018
3:00 pm - 3:50 pm
NS2 1201

Talk Abstract:

On the micro and millimeter length scale, the behavior of light in turbid media is governed by the Radiative Transport Equation. We will discuss a deterministic method for approximating a solution to this integro-differential equation, compare it to the current "gold standard" of monte carlo based solutions and show its use in recovering optical properties from layered media using data gathered by spatial frequency domain spectroscopy. The properties and layer thickness of the media used represent medically and biologically relevant cases and have previously been challenging to recover.

About the Speaker:

Sean is a fifth year PhD student in the math department. His research is focused around the use of mathematical models in medical imaging. He holds a BS in Mathematics and a BA in Philosophy from the University of Missouri, St. Louis. Before returning to school, Sean was a professional fencing coach and continues to coach and compete while at UCI.

Advisor and Collaborators

Sean's advisors are John Lowengrub and Vasan Venugopalan.

Supplementary Materials:

none

Refreshments:

Pizza will be served after the talk.

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