|Authors||O. M. Lysaker and B. F. Nielsen|
|Title||Towards a Level Set Framework for Infarction Modeling: an Inverse Problem|
|Afilliation||Scientific Computing, Scientific Computing|
|Publication Type||Journal Article|
|Year of Publication||2006|
|Journal||International Journal of Numerical Analysis and Modeling|
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.