Filamentous tau inclusions in neurons and glia are neuropathological hallmarks of sporadic and familial tauopathies. Because tau gene mutations are pathogenic for the autosomal dominant tauopathy "frontotemporal dementia and parkinsonism linked to chromosome 17," tau abnormalities are implicated directly in the onset and/or progression of disease. Although filamentous tau aggregates are acknowl...

A notion of convolution is presented in the context of formal power series together with lifting constructions characterising algebras of such series, which usually are quantales. A number of examples underpin the universality of these constructions, the most prominent ones being separation logics, where convolution is separating conjunction in an assertion quantale; interval logics, where conv...

We study the $d^2 \Gamma_d /(d\omega d\cos\theta_d) $, $d\Gamma_d /d\cos\theta_d$ and $ d\Gamma_d /dE_d distributions, which are defined in terms of visible energy polar angle charged particle from $\tau-$decay $b\to c \tau\, (\mu \bar \nu_\mu \nu_\tau,\pi \nu_\tau,\rho\nu_\tau) \bar\nu_\tau$ reactions. The first two contain information on transverse tau-spin, tau-angular tau-angular-spin asymm...

Background: Tau protein is believed to be stationary while bound to microtubules. Results: Tau molecules can diffuse along microtubules over distances up to several micrometers. Conclusion: Tau diffusion on microtubules is a novel mechanism for tau dispersion in cells. Significance: Modulation of tau binding and diffusion on microtubules by local modifications of microtubules can provide a tool...

nowadays, air pollution is one of the major problems in developed and developing countries. in recent years, effects of air pollution on neuroinflammatory diseases such as alzheimer disease and parkinson disease have been studied. researches on polluted cities citizens indicate increasing in central nervous system (cns) inflammatory factors in comparison with clean cities; also air pollution ex...

Neurofibrillarly tangles (NFTs) are seen most patients, who shows dementia, while β amyloid deposition observed specifically in AD patients. NFTs observe first from coeruleus and entorhinal cortex, and then spread to neocortex, which well explain clinical progression of AD, such as memory problem to dementia. Tau fibrils are the major component of NFT. Before forming tau fibrils, tau binds toge...

Given two planar curves, their convolution curve is defined as the set of all vector sums generated by all pairs of curve points which have the same curve normal direction. The Minkowski sum of two planar objects is closely related to the convolution curve of the two object boundary curves. That is, the convolution curve is a superset of the Minkowski sum boundary. By eliminating all redundant ...

The mixed convolution kernel alters his properties geographically according to the depicted organ structure, especially for the lung. Therefore, we compared the image quality of the mixed convolution kernel to standard soft and hard kernel reconstructions for different organ structures in thoracic computed tomography (CT) images.Our Ethics Committee approved this prospective study. In total, 31...

Space-varying convolution often arises in the modeling or restoration of images captured by optical imaging systems. For example, in applications such as microscopy or photography the distortions introduced by lenses typically vary across the field of view, so accurate restoration also requires the use of space-varying convolution. While space-invariant convolution can be efficiently implemente...

Previous research has shown that computation of convolution in the frequency domain provides a significant speedup versus traditional convolution network implementations. However, this performance increase comes at the expense of repeatedly computing the transform and its inverse in order to apply other network operations such as activation, pooling, and dropout. We show, mathematically, how co...