Another integrable case in the Lorenz model

A scaling invariance in the Lorenz model allows one to consider the usually discarded case sigma=0. We integrate it with the third Painlev\'e function.Comment: 3 pages, no figure, to appear in J. Phys.

Linearization of Mirror Systems

We demonstrate, through the fourth Painleve and the modified KdV equations, that the attempt at linearizing the mirror systems (more precisely, the equation satisfied by the new variable # introduced in the indicial normalization) near movable poles can naturally lead to the Schlesinger transformations of ordinary di#erential equations or to the Backlund transformations of partial di#erential equations

Asymptotic solutions of needle crystal growth in periodic external flow

The present work is concerned with the dendrite growth of a single needle crystal with arbitrary undercooling temperature. We investigate the effect of convection motion induced by a periodic external flow in a melt. By assuming the Prandtl number Pr is large (equivalently, the Reynolds number is small), we can obtain a globally valid asymptotic solution in the whole physical domain for the case of zero surface tension

Hardy’s inequalities and integral operators on Herz-Morrey spaces

We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T

Schisandrin B decreases the sensitivity of mitochondria to calcium ion-induced permeability transition and protects against carbon tetrachloride toxicity in mouse livers

Schisandrin B (Sch B), a dibenzocyclooctadiene derivative isolated from the fruit of Schisandra chinensis, has been shown to protect against carbon tetrachloride (CCI4,) hepatotoxicity in mice. In order to elucidate the molecular mechanism underlying the hepatoprotection afforded by Sch B, the effect of Sch B treatment on the sensitivity of mitochondria to Ca2+-stimulated permeability transition (PT) was investigated in mouse livers under normal and CCl4-intoxicated conditions. CCl4 hepatotoxicity caused an increase in the sensitivity of mitochondria to Ca2+ -stimulated PT in vitro. The enhanced sensitivity to mitochondrial PT was associated with increases in mitochondrial Ca2+ content as well as the extent of reactive oxidant species (ROS) production and cytochrome c release. The hepatoprotection afforded by Sch B pretreatment against CCl4, toxicity was paralleled by the decrease in the sensitivity of hepatic mitochondria to Ca2+ -stimulated PT as well as the attenuations of mitochondrial Ca2+ loading, ROS production and cytochrome c release under CCl4 intoxicated condition. In conclusion, the results suggest that the hepatoprotection afforded by Sch B pretreatment against CCl4 toxicity may be related to the increase in the resistance of hepatic mitochondria to Ca2+ -stimulated PT

SARS coronavirus 8b reduces viral replication by down-regulating E via an ubiquitin-independent proteasome pathway

10.1016/j.micinf.2010.10.017Microbes and Infection 132179-18

Prescription of Chinese Herbal Medicine in Pattern-Based Traditional Chinese Medicine Treatment for Depression: A Systematic Review

Traditional Chinese medicine (TCM) treatments are often prescribed based on individuals’ pattern diagnoses. A systematic review of randomized controlled trials in Chinese and English literatures on TCM pattern-based treatment for depression has therefore been conducted. A total of 61 studies, 2504 subjects, and 27 TCM patterns were included. Due to the large variation of TCM pattern among participants, we only analyzed the top four commonly studied TCM patterns: liver qi depression, liver depression and spleen deficiency, dual deficiency of the heart, and spleen and liver depression and qi stagnation. We found that Xiaoyao decoction was the most frequently used herbal formula for the treatment of liver qi depression and liver depression with spleen deficiency, while Chaihu Shugan decoction was often used for liver depression and qi stagnation. Bai Shao (Paeonia lactiflora Pall.) and Chai Hu (Bupleurum chinense DC.) were commonly used across different TCM patterns regardless of the prescribed Chinese herbal formulas. The rationale underlying herb selection was seldom provided. Due to the limited number of studies on TCM pattern-based treatment of depression and their low methodological quality, we are unable to draw any conclusion regarding which herbal formulas have higher efficacy and which TCM patterns respond better to CHM