In this paper, we study the asymptotic stability and hair-trigger effect for Cauchy problem of following parabolic-parabolic Keller-Segel system with logistic term$ \begin{equation} \left\{ \begin{aligned} &u_{t} = \Delta u-\chi \nabla\cdot\left ( u\nabla v \right )+u\left(a-b u\right)&x\in \mathbb{R}^{N},\, t>0,\\ &\tau v_{t} v+\lambda u-\mu v&x\in t>0, \end{aligned} \rig...

we first characterize $tau$-complemented modules with relative (pre)-covers. we also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

We assessed cerebrospinal fluid (CSF) levels of tau and other biomarkers of neurodegenerative disease. CSF tau levels vary widely in reports of frontotemporal dementia (FTD). CSF samples were assayed for tau, amyloid beta1-42 (A1-42), and the isoprostane 8,12-iso-iPF2a-VI (iP) prospectively in 64 patients with FTD, retrospectively in 26 autopsied cases with FTD or Alzheimer's disease (AD), and ...

BACKGROUND The time constant of isovolumic relaxation (tau) is an important parameter of ventricular diastolic function, but the need for invasive measurement with high-fidelity catheters has limited its use in general clinical cardiology. The Doppler mitral regurgitant velocity spectrum can be used to estimate left ventricular (LV) pressure throughout systole and may provide a new noninvasive ...

Frontotemporal lobar degeneration (FTLD) refers to heterogeneous clinical and biological conditions. In FTLD, cerebrospinal fluid (CSF) tau levels have been reported highly variable. The aim of the present study was to evaluate whether CSF tau might be the hallmark of a distinct FTLD phenotype. Fifty-five FTLD patients, who underwent CSF analysis, were considered in the present study. In each p...

A bstract Direct CP asymmetry in semi-leptonic τ decays is an intriguing hint for new physics beyond the standard model. We investigate $$ {\tau}^{-}\to {K}_S^0{\pi}^{-}{\nu}_{\tau } τ − → K S 0 </mml...

In this paper, we deal with the first-order dynamic equations withnonmonotone arguments\begin{equation*}y^{\Delta }(t)+\underset{i=1}{\overset{m}{\sum }}p_{i}(t)y\left( \tau_{i}(t)\right) =0,\text{ }t\in \lbrack t_{0},\infty )_{\mathbb{T}}\end{equation*}where $p_{i}\in C_{rd}\left( [t_{0},\infty )_{\mathbb{T}},%\mathbb{R}^{+}\right) ,$ $\tau _{i}\in )_{\mathbb{%T}},\mathbb{T}\right) $ and _{i}(...

The mSUGRA model predicts the polarization of the tau coming from the stau to bino decay in the co-annihilation region to be +1. This can be exploited to extract this soft tau signal at LHC and also to measure the tiny mass differences between the stau and the bino LSP. Moreover this strategy will be applicable for a wider class of bino LSP models, where the lighter stau has a right component a...