This week's Statistics Seminar speaker is Marianna Pensky from University of Central Florida.
Talk Title: Laplace Deconvolution and its Application to Dynamic Contrast Enhanced Imaging
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of contrast agent, a procedure which allows considerable improvement in evaluating the quality of a vascular network and its permeability and is widely used in medical assessment of brain flows or cancerous tumors.
Although the study is motivated by medical imaging application, we obtain a solution of a general problem of Laplace deconvolution based on noisy data which appears in many different contexts. To the best of our knowledge, this model has been given very little attention by the statistical community. The purpose of the talk is to fill in this gap. The theory is illustrated by a finite sample simulation study which includes an example of the kernel obtained in the real life DCE experiments.
Refreshments will be served after the seminar in 1181 Comstock Hall.