TY - JOUR T1 - Towards a Level Set Framework for Infarction Modeling: An Inverse Problem JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 377 EP - 394 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/909.html KW - level set, Monodomain model, heart infarctions and inverse problems. AB -
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 simulation results with observation data. In this way we obtain a flexible methodology 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 adjoint equation enabling efficient differentiation of the involved cost-functional. Finally, our theoretical findings are illuminated by a series of numerical experiments.