Publication

Back to overview Show all

Original article (peer-reviewed)

Journal International Journal for Uncertainty Quantification
Volume (Issue) 9(1)
Page(s) 15 - 32
Title of proceedings International Journal for Uncertainty Quantification
DOI 10.1615/int.j.uncertaintyquantification.v9.i1

Open Access

URL https://arxiv.org/abs/1810.09290
Type of Open Access Repository (Green Open Access)

Abstract

We consider the solution of inverse problems in dynamic contrast–enhanced imaging by means of ensemble Kalman filters. Our quantity of interest is blood perfusion, i.e., blood flow rates in tissue. While existing approaches to compute blood perfusion parameters for given time series of radiological measurements mainly rely on deterministic, deconvolution–based methods, we aim at recovering probabilistic solution information for given noisy measurements. To this end, we model radiological image capturing as a sequential data assimilation process and solve it by an ensemble Kalman filter. Thereby, we recover deterministic results as an ensemble–based mean and are able to compute reliability information such as probabilities for the perfusion to be in a given range. Our target application is the inference of blood perfusion parameters in the human brain. A numerical study shows promising results for artificial measurements generated by a digital perfusion phantom.
-