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 - <p style="text-align: justify;">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.</p>