We consider the heat equation with a multiplicative Gaussian potential in dimensions d ≥ 3. We show that the renormalized solution converges to the solution of a deterministic diffusion equation with an effective diffusivity. We also prove that the renormalized large scale random fluctuations are described by the Edwards-Wilkinson model, that is, the stochastic heat equation (SHE) with additive...

We’ve shown that if a solution exists, it’s unique (though only up to an additive constant for the Neumann boundary condition; in this case there’s also a requirement on g). We’ve also shown other interesting properties possessed by any solution, e.g., the maximum principle and the mean value property. Existence is actually the toughest issue. On certain special domains like rectangles and circ...

In this paper we study a singular stochastic differential equation driven by an additive fractional Brownian motion with Hurst parameter H > 1 2 . Under some assumptions on the drift, we show that there is a unique solution, which has moments of all orders. We also apply the techniques of Malliavin calculus to prove that the solution has an absolutely continuous law at any time t > 0.

The (Michelson) Sivashinsky equation of premixed flames is studied in a rectangular domain in two dimensions. A huge number of two-dimensional (2D) stationary solutions are trivially obtained by the addition of two 1D solutions. With Neumann boundary conditions, it is shown numerically that adding two stable 1D solutions leads to a 2D stable solution. This type of solution is shown to play an i...

Considerable effort has been dedicated to the development of technology for the site-specific incorporation of unnatural amino acids into proteins, with nonsense codon suppression and expressed protein ligation emerging as two of the most promising methods. Recent research advances in which these methods have been applied to study protein function and mechanism are briefly highlighted, and the ...

(Received for publication, February 4, 1954) We have made quantitative determinations on non-protein nitrogenous compounds in gastric juice, particularly of patients with gastric lesions. In 1950 Cagianutl) and his cooperators confirmed the presence of free amino acids in human gastric juice by paper partition chromatography, in addition to glucosamine and histamine. In 1951 Gilligan2) and his ...

Since ancient times, beautiful skin, firm nails and shiny hairs which look good and live young, has had a strong desire for humans. To maintain health and natural beauty as long as possible and to delay the aging process, continuous supply of some nutrients is necessary in the body. Our metabolism is reflected on the skin, which is sensitive to any change that happens. From inside of a body, th...

Although p-phenylenediamine (PPD) has been recognized as an extreme sensitizer for many years, the exact mechanism of sensitization has not been elucidated yet. Penetration and the ability to bind to proteins are the first two hurdles that an allergen has to overcome to be able to sensitize. This review is an overview of studies regarding PPD penetration through skin (analogues) and studies on ...

A swine-origin influenza A was detected in April 2009 and soon became the 2009 H1N1 pandemic strain (H1N1pdm). The current study revealed the genetic diversity of H1N1pdm, based on 77 and 70 isolates which we collected, respectively, during the 2009/2010 and 2010/2011 influenza seasons in Taiwan. We focused on tracking the amino acid transitioning of hemagglutinin (HA) and neuraminidase (NA) ge...

Since ancient times, beautiful skin, firm nails and shiny hairs which look good and live young, has had a strong desire for humans. To maintain health and natural beauty as long as possible and to delay the aging process, continuous supply of some nutrients is necessary in the body. Our metabolism is reflected on the skin, which is sensitive to any change that happens. From inside of a body, th...