Focus Areas: Mathematical modeling of biomedical applications, particularly in medical imaging
Debra McGivney is an assistant professor in Biomedical Engineering. She received her BS in Mathematics from the University of Notre Dame in 2004, her MS in Mathematics from John Carroll University in 2006, and her PhD in Applied Mathematics from Case Western Reserve University in 2013. Her research has focused on mathematical inverse problems and their solutions, in particular through Bayesian statistical analysis. Her most recent research is in magnetic resonance fingerprinting (MRF), including studying the partial volume effect and tissue property quantification using pattern matching. She has focused on applying these mathematical techniques to medical imaging applications, including Electrical Impedance Tomography and Magnetic Resonance Fingerprinting. She additionally has worked on data compression and sequence optimization for Magnetic Resonance Fingerprinting.
She is a member of the International Society for Magnetic Resonance in Medicine and the Society for Industrial and Applied Mathematics. Her teaching experience includes courses in both Mathematics and Engineering, including Calculus, Linear Algebra, Mathematical Optimization for Engineers, Signals and Systems (both undergraduate and graduate level), and Mathematical Modeling for Biomedical Engineers (both undergraduate and graduate level). She has been involved with these courses at both the undergraduate and graduate levels.