CORRECTION NYSTROM SOLUTIONS OF NON-SMOOTH FREDHOLM EQUATIONS

1.IntroductionTherearemanynumericalresultsaboutthenon-smoothintegralequationswherek(s,t)=k.(t)~k(s/t)/tandf(s)aregiven,uistheunknownsolution(e.g.[1-6]).Buttherearefewresultsaboutthehighorderandadaptivemethodscorrespondingly.Becauseoftheefficiencyinsolving…     

EC,ASMC and Macrophage Oxidize Human Low Density Lipoprotein

Ｉｔｉｓｋｎｏｗｎｔｈａｔｄｕｒｉｎｇａｔｈｅｒｏｓｃｌｅｒｏｓｉｓ (Ａｓ)ｏｘｉｄｉｚｅｄｌｏｗｄｅｎｓｉｔｙｌｉｐｏｐｒｏｔｅｉｎ (ｏｘ ＬＤＬ)ｐｌａｙｓａｎｉｍｐｏｒｔａｎｔｒｏｌｅｔｈａｔｉｓｔａｋｅｎｕｐｂｙａｒｔｅｒｉａｌｗａｌｌｍａｃｒｏｐｈａｇｅｓａｔａｎｅｎｈａｎｃｅｄｒａｔｅ ,ｌｅａｄｉｎｇｔｏｃｅｌｌｕｌａｒｃｈｏｌｅｓｔｅｒｏｌａｃｃｕｍｕｌａｔｉｏｎａｎｄｆｏａｍｃｅｌｌｆｏｒｍａｔｉｏｎ .ＴｈｅａｔｈｅｒｏｇｅｎｉｃｉｔｙｏｆｏｘｉｄｉｚｅｄＬＤＬａｌｓｏｉｎｖｏｌｖ…     

Distribution of diatoms in the water and surface sediments of southern South China Sea

The relationship of species and abundance between the diatoms in the water and sediments from the southern South China Sea （SCS） were discussed, and the key environmental controlling factors were also investigated. Studies show that the diatom abundance is high in both water and sediments in the southeast part of the southern SCS and the varying trend is similar, while in the northwest part, the abundance is low, and the varying trend is different. The dominant diatom species are Thalassionema nitzschioides and Nitzschia bicapitata in water, and T. nitzschioides and Chaetoceros messanensis in sediments. The diatom species of small size and thin shell in water are more than in the sediments, while the diatom species of large size and thick shell in water are less. The percentage of species T. nitzschioides is higher in water of southeast part than in that of northwest part, but it is similar in sediments of both areas. It is shown that the southwest monsoon is the important factor influencing diatom abundance and T. nitzschioides percentage, and when the southwest monsoon is well developed, the distribution of diatom abundance and T. nitzschioides percentage are consistent in both water and sediments of the study area.     

Alternative splicing and expression of the insulin-like growth factor （IGF-1） gene in osteoblasts under mechanical stretch

Insulin-like growth factor 1 (IGF-1) promotes osteoblasts differentiation and bone formation, and its expression is induced by mechanical stretch, thus IGF-1 has been considered an effector molecule that links mechanical stimulation and local tissue responses. In this study, a mechanical stretching device was designed to apply physiological level static or cyclic stretching stimulation to osteoblasts. Different isoforms of IGF-1 mRNA were amplified by RT-PCR from the cells using respective primers and these amplified products were sequenced. An iso-form of IGF-1 splicing product was found to be selectively produced by osteoblasts under stretching stimulation. This IGF-1 isoform had identical sequence with the mechano growth factor (MGF) which was originally identified in muscle cells. Regulations of the expression of the liver-type IGF (L.IGF-1) and MGF in osteoblasts under stretch stimulation were further studied using semi-quantitative RT-PCR. Stretch stimulation was found to promot the expression of IGF-1 (L.IGF-1 and MGF), and for both isoforms expression was more effectively stimulated by cyclic stretch than static stretch. MGF was detected only in osteoblasts subjected to mechanical stretch, suggesting MGF was a stretch sensitive growth factor. Expression of MGF peaked earlier than that of L.IGF-1, which was similar to their regulation in muscle and suggested similar roles of MGF and L.IGF-1 in bone as in muscle cells. The functions of MGF and LIGF-1 in osteoblasts shall be established by further experimental studies.     

CORRECTION NYSTROM SOLUTIONS OF BIE IN POLYGONAL DOMAIN ON THE PLANE

ＣＯＲＲＥＣＴＩＯＮＮＹＳＴＲＯＭＳＯＬＵＴＩＯＮＳＯＦＢＩＥＩＮＰＯＬＹＧＯＮＡＬＤＯＭＡＩＮＯＮＴＨＥＰＬＡＮＥ￥ＳＨＩＪｕｎ（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔ，ＧｒａｄｕａｔｅＳｃｈｏｏｌ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ...     

Two-dimensional simulation of Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect

Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect are directly simulated by a mixed finite element method. A temperature perturbation is used as an initial disturbed source for the basic parallel flows. The whole spatio-temporal evolution of the binary fluid flows is exhibited: initially only the disturbed mode with the wavenumber k=π is amplified while others are damped, and continuously the amplified mode grows further and the nonlinear effect becomes important; after a nonlinear evolution transition the flow system evolves finally into a periodic right traveling wave.     

Epigenome analyses using BAC microarrays identify evolutionary conservation of tissue-specific methylation of SHANK3

CpG islands are present in one-half of all human and mouse genes and typically overlap with promoters or exons. We developed a method for high-resolution analysis of the methylation status of CpG islands genome-wide, using arrays of BAC clones and the methylation-sensitive restriction enzyme NotI. Here we demonstrate the accuracy and specificity of the method. By computationally mapping all NotI sites, methylation events can be defined with single-nucleotide precision throughout the genome. We also demonstrate the unique expandability of the array method using a different methylation-sensitive restriction enzyme, BssHII. We identified and validated new CpG island loci that are methylated in a tissue-specific manner in normal human tissues. The methylation status of the CpG islands is associated with gene expression for several genes, including SHANK3, which encodes a structural protein in neuronal postsynaptic densities. Defects in SHANK3 seem to underlie human 22q13 deletion syndrome. Furthermore, these patterns for SHANK3 are conserved in mice and rats.     

Microstru cture and oxygen storage capacity of Sr-modified Pt/CeO2 –ZrO2catalysts

Strontium was introduced into CeO2–ZrO2 mixed oxides (CZ) by doping and impreg-nation metho ds, and then Pt was impregnated on the Sr-modifie d CZ to obtain the catalysts. X-ray diffraction (XRD), X-photon spectra (XPS), high-resolution transmission electronic microscopy (HRTEM) and H2 temperature programmed reduction (TPR) were carried out to characterize the micro-structure and reducibility of catalysts. The oxygen storage capacity (OSC) was evaluated with CO serving as probe gas. The results showed that the incorporation of Sr₂₊ in the lattice of CZ could promote the OSC properties by increasing the structure defects and enhancing the diffusion rate of oxygen from bulk to surface. For the Sr-impregnated sample, the strong metal–support interaction (SMSI) between Pt and CZ was interrupted, since Sr covered parti al surface Ce species. Such interruption retarded the back-spillover effect occurring at the Pt/Ce interface at low temperature, resulting in the loss of OSC. Meanwhile, it was found that a part of impregnated Sr₂₊ could partially diffuse from the surface to the inner atomic layers of CZ and partially incorporated in the lattice during the calcination. The OSC performance of Sr-impregnated sample therefore climbed remarkably with the rise of temperature.     

Using Hyper Coal to prepare metallurgical coal briquettes via hot-pressing

HyperCoal was prepared from low-rank coal via high-temperature solvent extraction with N-methylpyrrolidone as an extraction solvent and a liquid-to-solid ratio of 50 mL/g in a high-temperature and high-pressure reactor. When HyperCoal was used as a binder and pulverized coal was used as the raw material, the compressive strength of the hot-pressed briquettes (each with a diameter of 20 mm and mass of 5 g) under different conditions was studied using a hot-pressing mold and a high-temperature furnace. The compressive strength of the hot-pressed briquettes was substantially improved and reached 436 N when the holding time period was 15 min, the hot-pressing temperature was 673 K, and the HyperCoal content, was 15wt%. Changes in the carbonaceous structure, as reflected by the intensity ratio between the Raman G- and D-bands (I_G/I_D), strongly affected the compressive strength of hot-pressed briquettes prepared at different hot-pressing temperatures. Compared with cold-pressed briquettes, hot-pressed briquettes have many advantages, including high compressive strength, low ash content, high moisture resistance, and good thermal stability; thus, we expect that hot-pressed briquettes will have broad application prospects.     

Case Report： Concurrent pulmonary thrombosis with systemic embolism： a case report

Based on different mechanisms of blood coagulation, coexistence of venous thromboembolism and arterial thrombosis in a single individual is extremely rare in clinical practice. Both antiplatelet and anticoagulation therapy should be adopted for patients with arteriovenous embolism. Balancing the risk of ischemia and hemorrhage is especially challenging in these patients in order to achieve an optimal clinical benefit. We report on a 55-year-old female with acute pulmonary embolism （PE）, subsequently diagnosed as having acute myocardial infarction （AMI） and a cerebral infarction. Examinations had been carried out, excluding potential arteriovenous shunts, cancer, an- tiphospholipid syndrome and other common hypercoagulable states. A combination of an anticoagulant drug （rivaroxaban, an Xa inhibitor） and an antiplatelet agent （clopidogrel, an ADP receptor inhibitor） was prescribed with a β-blocker and atorvastatin. The embolus was gradually shrunk during the next 10 months, and then it turned back into expanding. During the 16 months＇ follow-up, an aneurysm of left ventricular apex was found through an echocardiogram and an angiotensin-converting enzyme inhibitor was administered. We conclude that combined anticoagulation and antiplatelet therapy significantly relieved the symptoms and improved the prognosis in patients suffering from arteriovenous embolism without any major clinical bleeding events.