We show that the correlation functions of a class periodically driven integrable closed quantum systems approach their steady-state value as ${n}^{\ensuremath{-}(\ensuremath{\alpha}+1)/\ensuremath{\beta}}$, where $n$ is number drive cycles and $\ensuremath{\alpha}$ $\ensuremath{\beta}$ denote positive integers. find that, generically, $\ensuremath{\beta}=2$ within dynamical phase characterized ...

We find radial and nonradial solutions to the following nonlocal problem $$-\Delta u +\omega u= \big(I_\alpha\ast F(u)\big)f(u)-\big(I_\beta\ast G(u)\big)g(u) \text{ in } \mathbb{R}^N$$ under general assumptions, spirit of Berestycki Lions, imposed on $f$ $g$, where $N\geq 3$, $0\leq \beta \leq \alpha<N$, $\omega\geq 0$, $f,g:\mathbb{R}\to \mathbb{R}$ are continuous functions with corresponding...

Triggered hydrogelation of MAX1 peptide, (VK)(4)-V(D)PPT-(KV)(4)-NH(2), proceeds through peptide intramolecular folding into beta-hairpins and concomitant self-assembly into branched clusters of well-defined (uniform, 3 nm cross section), semiflexible, beta-sheet-rich nanofibrils. Cryogenic transmission electron microscopy indicates that dangling fibrils extend from one growing cluster to anoth...

A high omega-6/omega-3 ratio, as is found in today's Western diets, promotes the pathogenesis of many chronic diseases, including cardiovascular disease. Increased dietary intake of linoleic acid (LA) leads to oxidation of low-density lipoprotein (LDL), platelet aggregation, and interferes with the incorporation of essential fatty acids (EFA) in cell membrane phopholipids. Both omega-6 and omeg...

We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The is modeled by graph function $\phi: \mathbb Z^2 \to Z$,and disorder given fixed realization field IID centered random variables$(\omega_x)_{x\in Z^2}$. Hamiltonian system depends on three parameters $\alpha,\beta>0$ and $h\in R$ determine respectively intensity near...

We study the following singular Kirchhoff type problem &#x0D; \[\left( P\right) \left\{&#x0D; \begin{array} [c]{c}&#x0D; -m\left({\displaystyle\int\limits_{\Omega}}\left\vert \nabla u\right\vert ^{2}dx\right) \Delta u=h\left( u\right)&#x0D; \frac{e^{\alpha u^{2}}}{\left\vert x\right\vert ^{\beta}}\text{ \ in} \Omega,\\&#x0D; u=0 \text{on}\; \partial\Omega&#x0D; \end{array} \right.&#x0D; \]&#x0D...

Neuronal (N)-type Ca(2+) channel-selective omega-conotoxins have emerged as potential new drugs for the treatment of chronic pain. In this study, two new omega-conotoxins, CVIE and CVIF, were discovered from a Conus catus cDNA library. Both conopeptides potently displaced (125)I-GVIA binding to rat brain membranes. In Xenopus laevis oocytes, CVIE and CVIF potently and selectively inhibited depo...

The metabolism of CI-976, a potent inhibitor of liver and intestinal acyl coenzyme A:cholesterol acyltransferase, was investigated in isolated rat hepatocytes and Wistar rats after oral administration. The major metabolite observed both in vitro and in vivo was identified as the 6-carbon, chain-shortened 5,5-dimethyl-6-oxo-[(2,4,6-trimethoxyphenyl)amino]hexanoic acid (M-4). M-4 was determined t...

In this paper, we deal with the following quasilinear elliptic system involving gradient terms in form: $$ \begin{cases} \Delta_p u= v^m| \nabla u |^\alpha & \text{in}\quad \Omega\\ v= v^\beta| |^q \Omega, \end{cases} where $\Omega\subset\mathbb{R}^N\ (N\geq 1)$ is either equal to $ \mathbb{R}^N or a ball $B_R$ centered at origin and having radius $R>0$, $1 < p \infty$, $m,q > 0$, $\alpha\geq $...

We study the stability of first-order dissipative spin-hydrodynamic frameworks. considered two different The first one considers spin chemical potential ($\omega^{\alpha\beta}$) to be order ($\mathcal{O}(\partial)$) in hydrodynamic gradient expansion. ordering is a debatable issue within frameworks hydrodynamics. Therefore as second choice, we also consider equations with $\omega^{\alpha\beta}\...