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The aim of this study was to develop a new, fully-automated approach for the extraction of arterial centerlines from whole-body computed tomography angiographic (CTA) data sets for the planning of transcatheter aortic valve replacement (TAVR) procedures by the transfemoral approach. The method starts with an image pre-processing step to correct contrast inhomogeneities in different image slices, followed...
A functional analytic method was developed by E.K.Ifantis in 1987 to prove that certain non-linear ordinary differential equation (ODEs) have a unique power series solution which converges absolutely in a specified disc of the complex plane. In this thesis, we extended this method to certain systems of two non-linear ordinary differential equations.We then applied the result to an nonlinear differential...
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