@Article{IJNAM-3-4, author = {}, title = {Towards a Level Set Framework for Infarction Modeling: An Inverse Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {4}, pages = {377--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 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.
}, issn = {2617-8710}, doi = {https://doi.org/2006-IJNAM-909}, url = {https://global-sci.com/article/83835/towards-a-level-set-framework-for-infarction-modeling-an-inverse-problem} }