We consider the convergence and stability property of MUSCL relaxing schemes applied to conservation laws with stiff source terms. The maximum principle for the numerical schemes will be established. It will be also shown that the MUSCL relaxing schemes are uniformly l and TV-stable in the sense that they are bounded by a constant independent of the relaxation parameter =, the Lipschitz constan...

It has been reported by several groups of workers that incubation of the relaxing factor granar of muscle with magnesium and adenosine triphosphate results in the formation of a soluble relaxing substance capable of inhibiting the magnesium-activated adenosine triphosphatase activity of myofibrils or actomyosin (3-6) and the contraction of single glycerinated muscle fibers (7). In addition, Uri...

The arbitrarily varying channel (AVC) is a conservative way of modeling an unknown interference, and the corresponding capacity results are pessimistic. We reconsider the Gaussian AVC by relaxing the classical model and thereby weakening the adversarial nature of the interference. We examine three different relaxations. First, we show how a very small amount of common randomness between transmi...

CLINICAL REPORT We report a case of a 29-year-old lady, with known Chronic Granulomatous Disease, who presented with an acneiform scarring facial and trunk eruption and sore red eyes. Slitlamp examination showed limbal granulomas and adjacent peripheral ulcerative keratitis. DISCUSSION The authors are considering the possible causes of the keratitis. As there were no signs of blepharitis at t...

We propose a new selection principle for distinguishing among possible vacua that we call the "relaxation principle." The idea is that the Universe will naturally select among possible vacua through its cosmological evolution, and the configuration with the biggest filling fraction is the likeliest. We apply this idea to the question of the number of dimensions of space. We show that under conv...

The vascular effects of endothelin-1 (ET) in humans were investigated by brachial artery infusions of ET into 25 healthy volunteers. Forearm blood flow increased from a mean±SD value of 2.3± 1.5 to 2.5± 1.5 ml/min/100 ml forearm tissue (n=25, p<0.05) in response to low dose (0.5 ng/min/100 ml forearm tissue) ET infusion and decreased to 1.78±1.3 and 1.1±0.9 ml/min/100 ml forearm tissue (p<0.001...

AIM/PURPOSE OF THE STUDY To develop a one-week storage method, without serum and xenobiotics, that would maintain cell viability, morphology, and phenotype of cultured human limbal epithelial sheets. MATERIALS AND METHODS Human limbal explants were cultured on intact human amniotic membranes for two weeks. The sheets were stored in a hermetically sealed container at 23°C in either a serum-fre...

Effects of incision angle in construction of clear corneal cataract incision are studied with optical coherence tomography (OCT). A stable incision angle range is found to be existent for single-planed, clear corneal cataract incisions. When well pressurized, incision angles within this stable range result in well-apposed incision edges that resist gapping while incision angles falling outside ...

Emotional events tend to be retained more strongly than other everyday occurrences, a phenomenon partially regulated by the neuromodulatory effects of arousal. Two experiments demonstrated the use of relaxing music as a means of reducing arousal levels, thereby challenging heightened long-term recall of an emotional story. In Experiment 1, participants (N=84) viewed a slideshow, during which th...

We analyze the convergence for relaxation approximation applied to conservation laws with stiff source terms. We suppose that the source term q(u) is dissipative. Semi-implicit relaxing schemes are investigated and the corresponding stability theory is established. In particular, we proved that the numerical solution of a first-order relaxing scheme is uniformlly Z, I and TVstable, in the sense...