We consider the equation (1) ε∆u = (u− a(x))(u − 1) in Ω, ∂u ∂ν = 0 on ∂Ω, where Ω is a smooth and bounded domain in R, ν the outer unit normal to ∂Ω, and a a smooth function satisfying −1 < a(x) < 1 in Ω. We set K, Ω+ and Ω− to be respectively the zero-level set of a, {a > 0} and {a < 0}. Assuming ∇a 6= 0 on K and a 6= 0 on ∂Ω, we show that there exists a sequence εj → 0 such that equation (1)...

The extension of the Wagner hierarchy to blind counter automata accepting infinite words with a Muller acceptance condition is effective. We determine precisely this hierarchy.

The potential role of omega – 3 (ω-3) and omega - 6(ω-6) fatty acids on wound healing is of interest and controversial. In the present study, the effect of dietary intake of fish oil (ω-3 diet ) and corn oil (ω-6 diet) on skin wound healing has been investigated in rat. This experimental study was performed on four groups of male rats (one normal group and three diabetic groups). Diabetes was i...

BACKGROUND This study investigated whether the 1 : 2 ω-3/ω-6 ratio may reduce proinflammatory response in human alveolar cells (A549) exposed to an ex vivo inflammatory stimulus (bronchoalveolar lavage fluid (BALF) of acute respiratory distress syndrome (ARDS) patients). Methods. We exposed A549 cells to the BALF collected from 12 ARDS patients. After 18 hours, fatty acids (FA) were added as do...

BACKGROUND/OBJECTIVES The aim of this research was to study the different long term effects of consumption of dietary oil sources with varying omega-6/omega-3 (ω-6/ω-3) polyunsaturated fatty acids (PUFAs) ratios on bone marrow fatty acid level, ex vivo prostaglandin E2 (PGE2) release, and mineral content of bone in rabbits. MATERIALS/METHODS For this purpose, weaning and female New Zealand wh...

We present a classification of m-strict limits (i.e. and |D1fk|(Ω)+|D2fk|(Ω)→|D1f|(Ω)+|D2f|(Ω)) planar BV homeomorphisms; class previously studied by the authors S. Hencl in [6]. There it was shown that such mappings allow for cavitations fractures singularities but fulfil suitable generalization INV condition. As pointed out J. Ball [3], these features are physically expected limit configurati...

PURPOSE ω-3 and ω-6 polyunsaturated fatty acids modulate inflammatory processes throughout the body through distinct classes of lipid mediators that possess both proinflammatory and proresolving properties. The purpose of this cross-sectional study was to explore the relationship between lipid profiles in human tears and dry eye (DE) symptoms and signs. METHODS Forty-one patients with normal ...