The modification of dietary patterns has led to a change in fatty acid consumption, with an increase in the consumption of ω-6 fatty acids and a marked reduction in the consumption of ω-3 fatty acids. This in turn has given rise to an imbalance in the ω-6/ω-3 ratio, which is now very different from the original 1:1 ratio of humans in the past. Given the involvement of ω-6 and ω-3 essential fatt...

The study of extremal Kähler metric is initiated by the seminar work of Calabi [4], [5]. Let (M, [ω]) be a compact Kähler manifold with fixed Kähler class [ω]. The extremal Kähler metric is the critical point of the Calabi energy C(g) for any Kähler metrics g in the fixed Kähler class [ω], C(g) = M s 2 dµ, where s is the scalar curvature of g. The extremal condition asserts that ¯ ∂∇s = 0. In o...

The energy in a square membrane Ω subject to constant viscous damping on a subset ω ⊂ Ω decays exponentially in time as soon as ω satisfies a geometrical condition known as the “Bardos-Lebeau-Rauch” condition. The rate τ (ω) of this decay satisfies τ (ω) = 2min(−μ(ω), g(ω)) (see Lebeau [9]). Here μ(ω) denotes the spectral abscissa of the damped wave equation operator and g(ω) is a number called...

Cu-Mo and Cu-Ti contact structures were fabricated on multi-crystalline silicon substrates to provide a low resistance ohmic contact. Deposition steps are done in an excellent vacuum chamber by means of electron beam evaporation and samples are then annealed for the realization of an efficient alloy layer. The effects of process parameters such as film thickness, annealing duration and temp...

Clinically, excessive ω-6 polyunsaturated fatty acid (PUFA) and inadequate ω-3 PUFA have been associated with enhanced risks for developing ulcerative colitis. In rodent models, ω-3 PUFAs have been shown to either attenuate or exacerbate colitis in different studies. We hypothesized that a high ω-6: ω-3 PUFA ratio would increase colitis susceptibility through the microbe-immunity nexus. To addr...

Background Amyotrophic lateral sclerosis (ALS) is a progressive disease of motor neurons that has no cure or effective treatment. Any approach that could sustain minor motor function during terminal stages would improve quality of life. Objective We examined the impact of omega-3 (Ω-3) and Ω-6, on motor neuron function in mice expressing mutant human superoxide dismutase-1 (SOD-1), which domi...