AuthorsO. M. Lysaker and B. F. Nielsen
TitleTowards a Level Set Framework for Infarction Modeling: an Inverse Problem
Afilliation, Scientific Computing
StatusPublished
Publication TypeJournal Article
Year of Publication2006
JournalInternational Journal of Numerical Analysis and Modeling
Volume3
Number4
Pagination377-394
Abstract

The purpose of this paper is to introduce a level set framework suitable for identifying heart infarctions. We do this by introducing a modified Monodomain model, and an output least squares formulation comparing simu- lation results with observation data. In this way we obtain a flexible method- ology allowing us to approximately determine the characteristics of infarctions with rather complex geometrical properties. Our approach involves a CPU demanding minimization problem. This problem is solved by applying an ad- joint equation enabling efficient differentiation of the involved cost-functional. Finally, our theoretical findings are illuminated by a series of numerical exper- iments.

Citation KeyLysaker.2006.1