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Volume 3, Issue 4
Towards a Level Set Framework for Infarction Modeling: An Inverse Problem

M. Lysaker & B. F. Nielsen

Int. J. Numer. Anal. Mod., 3 (2006), pp. 377-394.

Published online: 2006-03

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  • 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.

  • Keywords

level set, Monodomain model, heart infarctions and inverse problems.

  • AMS Subject Headings

35R30, 49Q10, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-377, author = {M. Lysaker and B. F. Nielsen}, 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/}, url = {http://global-sci.org/intro/article_detail/ijnam/909.html} }
TY - JOUR T1 - Towards a Level Set Framework for Infarction Modeling: An Inverse Problem AU - M. Lysaker & B. F. Nielsen 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.

M. Lysaker and B. F. Nielsen. (2006). Towards a Level Set Framework for Infarction Modeling: An Inverse Problem. International Journal of Numerical Analysis and Modeling. 3 (4). 377-394. doi:
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