INTRODUCTION CT-guided, frameless radiosurgery is an alternative treatment to traditional catheter-angiography targeted, frame-based methods for intracranial arteriovenous malformations (AVMs). Despite the widespread use of frameless radiosurgery for treating intracranial tumors, its use for treating AVM is not-well described. METHODS Patients who completed a course of single fraction radiosu...

in this paper, a new numerical method for solving fractional optimal control problems (focps) is presented. the fractional derivative in the dynamic system is described in the caputo sense. the method is based upon biorthogonal cubic hermite spline multiwavelets approxima-tions. the properties of biorthogonal multiwavelets are first given. the operational matrix of fractional riemann-lioville i...

Introduction: Bolus chase 3D contrast-enhanced MRA of the peripheral vasculature requires both rapid k-space sampling and precise timing of table motion to achieve high spatial resolution throughout an extended field-of-view while avoiding venous contamination at the lower extremities. Bolus chase methods typically guide table motion based on an estimate of the time for the contrast bolus to re...

Title of dissertation: MULTISCALE ANALYSIS AND DIFFUSION SEMIGROUPS WITH APPLICATIONS Karamatou Yacoubou Djima Doctor of Philosophy, 2015 Dissertation directed by: Professor Wojciech Czaja Mathematics Department Multiscale (or multiresolution) analysis is used to represent signals or functions at increasingly high resolution. In this thesis, we develop multiresolution representations based on f...

The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to...

The proof of non-existence for co-affine frames is extended from the one-dimensional setting [GLWW] to the case of expansive dilation matrices in Rd. The problem of identifying subspaces on which co-affine systems may admit frame-type inequalities is then considered. In the context of multiresolution analysis it is shown that frame-type inequalities may hold on certain fundamental subspaces of ...

o bjectives: to determine the diagnostic accuracy of magnetic resonance angiography (mra) compared to intra-arterial digital subtraction angiography (dsa) in detection of intracranial aneurysms in those suffering from acute subarachnoid hemorrhage (sah). m e thods: this observational diagnostic study was performed at a tertiary teaching hospital and reference center in shiraz, iran. we included...