Let G be a Carnot group. We study nonlocal diffusion equations in domain $$\Omega$$ of the form $$\begin{aligned} u_t^\epsilon (x,t)=\int _{G}\frac{1}{\epsilon ^2}K_{\epsilon }(x,y)(u^\epsilon (y,t)-u^\epsilon (x,t))\,dy, \qquad x\in \Omega \end{aligned}$$ with $$u^\epsilon =g(x,t)$$ for $$x\notin \Omega$$ . For an appropriated rescaled kernel $$K_\epsilon$$ , we apply Taylor series development...

We introduce a filter mechanism to force convergence for augmented Lagrangian methods for nonlinear programming. In contrast to traditional augmented Lagrangian methods, our approach does not require the use of forcing sequences that drive the first-order error to zero. Instead, we employ a filter to drive the optimality measures to zero. Our algorithm is flexible in the sense that it allows fo...

The initiation of reverse transcription and nucleocapsid assembly in hepatitis B virus (HBV) depends on the specific recognition of an RNA signal (the packaging signal, epsilon) on the pregenomic RNA (pgRNA) by the viral reverse transcriptase (RT). RT-epsilon interaction in the duck hepatitis B virus (DHBV) was recently shown to require the molecular chaperone complex, the heat shock protein 90...

BACKGROUND The apolipoprotein E (APOE) epsilon 4 allele is a marker of adverse outcome following head injury and intracerebral hemorrhage. Transgenic animal data in a focal cerebral ischemia model suggest that the epsilon 4 allele increases infarct size and functional impairment. OBJECTIVE To determine if APOE genotype is associated with functional recovery from ischemic stroke. DESIGN Pros...

the results of standard and augmented surgical treatment of partial accommodative esotropia have been compared in this study.in this sequential matched randomized double blind clinical trial, we studied 48 patients (96 eyes) with partial accommodative esotropia between the ages of 13 to to 144 months, referring to strabismus clinic of farabi eye hospital between 1999-2000. these patients were g...

In 2005, Exoo posed the following question. Fix $\epsilon$ with $0\leq\epsilon<1$. Let $G_\epsilon$ be graph whose vertex set is Euclidean plane, where two vertices are adjacent iff distance between them lies in closed interval $[1-\epsilon,1+\epsilon]$. What chromatic number $\chi(G_\epsilon)$ of this graph? The case $\epsilon=0$ precisely classical ``chromatic plane'' problem. a 2018 p...

PURPOSE To investigate the concentrations of Fc epsilon receptor I (Fc epsilon RI)-bindable immunoglobulin E (IgE) in the tear fluid and the proportion of IgE-saturated cells among Fc epsilon RI-positive cells in giant papillae from vernal keratoconjunctivitis (VKC) patients. METHODS The tear fluids and giant papillae were obtained from 8 VKC patients with their informed consent. To detect th...

Combinations of hematopoietic cytokines and the ventral mesoderm inducer BMP-4 have recently been shown to augment hematopoietic cell fate of human embryonic stem cells (hESCs) during embryoid body (EB) development. However, factors capable of regulating lineage commitment of hESC-derived hematopoiesis have yet to be reported. Here we show that vascular endothelial growth factor (VEGF-A165) sel...

We introduce a layout manager that exploits the robust sensing capabilities of next-generation head-worn displays by embedding virtual application windows in the user’s surroundings. With the aim of allowing users to find applications quickly, our approach leverages spatial memory of a known body-centric configuration. The layout manager balances multiple constraints to keep layouts consistent ...

By defining functional defects in a congenital myasthenic syndrome (CMS), we show that two mutant residues, located in a binding site region of the acetylcholine receptor (AChR) epsilon subunit, exert opposite effects on ACh binding and suppress channel gating. Single channel kinetic analysis reveals that the first mutation, epsilon N182Y, increases ACh affinity for receptors in the resting clo...