OBJECTIVE Low-density lipoprotein receptor-related protein 1 (LRP1), a multifunctional protein involved in endocytosis and cell signaling pathways, leads to several vascular pathologies when deleted in vascular smooth muscle cells (SMCs). The purpose of this study was to determine whether LRP1 deletion in SMCs influenced angiotensin II-induced arterial pathologies. APPROACH AND RESULTS LRP1 p...

This paper is about the eigenvalues and eigenvectors of (# 2)H. The ordinary FIR lter H is convolution with a vector h = (h(0); : : : ; h(N)), the impulse response. The operator (# 2) downsamples the output y = h x, keeping the even-numbered components y(2n). Where H is represented by a constant-diagonal matrix | this is a Toeplitz matrix with h(k) on its kth diagonal | the odd-numbered rows ar...

In this paper, we present a necessary and sufficient condition for the existence of solutions in a Sobolev space W k p (R)(1 6 p 6 ∞) to a vector refinement equation with a general dilation matrix. The criterion is constructive and can be implemented. Rate of convergence of vector cascade algorithms in a Sobolev space W k p (R) will be investigated. When the dilation matrix is isotropic, a char...

We introduce a nonparametric approach to multiscale analysis of document corpora using a hierarchical matrix analysis framework called diffusion wavelets. In contrast to eigenvector methods, diffusion wavelets construct multiscale basis functions. In this framework, a hierarchy is automatically constructed by an iterative series of dilation and orthogonalization steps beginning with an initial ...

In this study, using a one-dimensionl MRA we constructed two-dimensional wavelet as well four masks which are not related to the MRA. Finally, provide some examples prove applicability of our construction in case finding numerical solution first kind Fredholm integral equations.

People with DM can develop heart dysfunction called diabetic cardiomyopathy [5]. This is characterized by dilation and hypertrophy of the myocardium, accompanied by systolic dysfunction and / or left ventricular diastolic and their presence is independent of ischemic heart disease or hypertension coexistence [7]. Although diabetic cardiomyopathy is a chronic subclinical condition [8], eventuall...

The nucleus is linked mechanically to the extracellular matrix via multiple polymers that transmit forces to the nuclear envelope and into the nuclear interior. Here, we review some of the emerging mechanisms of nuclear mechanosensing, which range from changes in protein conformation and transcription factor localization to chromosome reorganization and membrane dilation up to rupture. Nuclear ...