We introduce the technique of aspect-ratio scaling to study the scale dependence of interfacial energies in Ising spin glasses, and we show how one can use it to determine the stiffness exponent theta in a clean way, with results that are independent of the domain-wall-forcing boundary conditions imposed on the system. In space dimension d = 2 we obtain theta = -0.282(3) for a Gaussian distribution of exchange interactions.
We study the scaling behavior of domain-wall energies in two-dimensional Ising spin glasses with Gaussian and bimodal distributions of the interactions and different types of boundary conditions. The domain walls are generated by changing the boundary conditions at T = 0 in one direction. The ground states of the original and perturbed system are calculated numerically by applying an efficient matching algorithm. Systems of size L × M with different aspect-ratios 1/8 ≤ L/M ≤ 64 are considered. For Gaussian interactions, using the aspect-ratio scaling approach, we find a stiffness exponent θ = −0.287(4), which is independent of the boundary conditions in contrast to earlier results. Furthermore, we find a scaling behavior of the domain-wall energy as predicted by the aspect-ratio approach. Finally, we show that this approach does not work for the bimodal distribution of interactions.
It is estimated that Trichomonas vaginalis affects an astonishing 3.9% of the
world’s population, and while many of those infected are asymptomatic,
progression of the disease can lead to serious health problems. Currently,
the nitroimidazoles constitute the only drug class approved to treat
trichomoniasis in the United States, which makes the spread of drug
resistance a realistic concern. We developed a new image-based, high-throughput,
and high-content assay for testing natural products (purified compounds
and extracts) for antitrichomonal activity. Applying this assay system
to a library of fungal natural product extracts led to the identification
of three general classes of natural product inhibitors that exhibited
moderate to strong activities against T. vaginalis: anthraquinones, xanthone–anthraquinone heterodimers, and
decalin-linked tetramic-acid-containing metabolites. The tetramate
natural products emerged as the most promising candidate molecules
with pyrrolocin A (51) exhibiting potent activity against
the parasite (EC50 = 60 nM), yet this metabolite showed
limited toxicity to mammalian cell lines (selectivity index values
of 100 and 167 versus 3T3 fibroblast and Ect1 normal cervical cells,
respectively). The imaging-based assay system is a powerful tool for
the bioassay-guided purification of single-component antitrichomonal
biomolecules from complex natural product mixtures.
Aflatoxin B 1 (AfB 1 ) ranks among the most potent liver carcinogens known, and the accidental or intentional exposure of humans and livestock to this toxin remains a serious global threat. One protective measure that had been proposed is employing small-molecule therapeutics capable of mitigating the toxicity of AfB 1 ; however, to date, these efforts have had little clinical success. To identify molecular scaffolds that reduce the toxicity of AfB 1 , we developed a cell-based high-throughput high-content imaging assay that enabled our team to test natural products (pure compounds, fractions, and extracts) for protection of monolayers and spheroids composed of HepG2 liver cells against AfB 1 . The spheroid assay showed notable potential for further development, as it afforded greater sensitivity of HepG2 cells to AfB1, which is believed to better mimic the in vivo response of hepatocytes to the toxin. One of the most bioactive compounds to arise from this investigation was alternariol-9-methyl ether (1, purified from an Alternaria sp. isolate), which inspired the synthesis and testing of several structurally related molecules. Based on these findings, it is proposed that several types of natural and synthetic polyarene molecules that have undergone oxidative functionalization (e.g., compounds containing 3-methoxyphenol moieties) are promising starting points for the development of new agents that protect against AfB 1 toxicity.
Finite-size scaling (FSS) is a standard technique for measuring scaling exponents in spin glasses. Here we present a critique of this approach, emphasizing the need for all length scales to be large compared to microscopic scales. In particular we show that the replacement, in FSS analyses, of the correlation length by its asymptotic scaling form can lead to apparently good scaling collapses with the wrong values of the scaling exponents.
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