Ranks of submatrices in a general solution to a quaternion system with applications

Hua-Sheng Zhang,Qing-Wen Wang 대한수학회 2011 대한수학회보 Vol.48 No.5

Assume that X, partitioned into 2×2 block form, is a solution of the system of quaternion matrix equations A_1XB_1=C_1,A_2XB_2=C_2. We in this paper give the maximal and minimal ranks of the submatrices in X, and establish necessary and sufficient conditions for the submatrices to be zero, unique as well as independent. As applications, we consider the common inner inverse G, partitioned into 2×2 block form, of two quaternion matrices M and N. We present the formulas of the maximal and minimal ranks of the submatrices of G, and describe the properties of the submatrices of G as well. The findings of this paper generalize some known results in the literature.

RANKS OF SUBMATRICES IN A GENERAL SOLUTION TO A QUATERNION SYSTEM WITH APPLICATIONS

Zhang, Hua-Sheng,Wang, Qing-Wen Korean Mathematical Society 2011 대한수학회보 Vol.48 No.5

Assume that X, partitioned into $2{\times}2$ block form, is a solution of the system of quaternion matrix equations $A_1XB_1$ = $C_1,A_2XB_2=C_2$. We in this paper give the maximal and minimal ranks of the submatrices in X, and establish necessary and sufficient conditions for the submatrices to be zero, unique as well as independent. As applications, we consider the common inner inverse G, partitioned into $2{\times}2$ block form, of two quaternion matrices M and N. We present the formulas of the maximal and minimal ranks of the submatrices of G, and describe the properties of the submatrices of G as well. The findings of this paper generalize some known results in the literature.

Correlation of CT Perfusion Images with VEGF Expression in Solitary Brain Metastases

Zhang, Jian-Hua,Wang, Ming-Sheng,Pan, Hai-Hong,Li, Shu-Feng,Wang, Zhong-Qiu,Chen, Wang-Sheng Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.4

Objectives: To obtain permeability surface (PS) values using multi-slice helical CT perfusion imaging and to evaluate the spatial distribution correlation between PS values and vascular endothelial growth factor (VEGF) expression in solitary brain metastases. Methods: Imaging was performed on 21 patients, PS values being calculated from the central, border and peripheral parts of tumours. VEGF expression was determined by immunohistochemical staining. Results: Rim enhancement was found in 16 cases, the border of the tumour featuring PS elevation with high VEGF expression in 13 cases. In the 5 cases with nodular enhancement, the border and the central part had high permeability and VEGF expression was high in all cases, the correlation being significant (P<0.01). Conclusion: VEGF expression in brain metastases positively correlates with PS values from CT perfusion imaging, so that the latter can be used in the surveillance of angiogenic activity in brain metastases.

Clerodane furanoditerpenoids from the stems of Tinospora sinensis

Jun-Sheng Zhang,De-Feng Xu,Yin-Yin Wang,Ren-Fen Ma,Hua Zhang 대한약학회 2022 Archives of Pharmacal Research Vol.45 No.5

One new clerodane-type furanoditerpenoidtinosinoid A ( 1 ) and nine new nor-clerodane analogs tinosinoids B–J ( 2 − 10 ) have been isolated from the stems ofTinospora sinensis . The structures of the new compoundswith absolute confi gurations have been elucidated by spectroscopicmeans, including MS, NMR and ECD techniques,as well as chemical correlation. Compound 1 is a rare sulfurcontainingclerodane diterpenoid incorporating a 2-mercaptoethanolunit via a thioether bond, while compounds 4 / 5and 9 represent two pairs of unusual equilibrium regioisomersthrough an interesting intramolecular transesterifi cation. Our bioassays established that 1 and 8 displayed moderateantiproliferative eff ects against two human tumor celllines, and 9 and 10 showed signifi cant α -glucosidase inhibitoryactivities. A kinetics study revealed that compound 10was a noncompetitive α -glucosidase inhibitor, and its possiblebinding mode to the enzyme was further probed bymolecular docking experiments.

Food Microbiology and Biotechnology : Potential Probiotic Characterization of Lactobacillus plantarum Strains Isolated from Inner Mongolia “Hurood” Cheese

( Jian Zhang ),( Xue Zhang ),( Li Zhang ),( Yu Juan Zhao ),( Chun Hua Niu ),( Zhen Nai Yang ),( Sheng Yu Li ) 한국미생물 · 생명공학회 2014 Journal of microbiology and biotechnology Vol.24 No.2

Total 121 lactic acid bacteria were isolated from homemade Inner Mongolia extra hard Hurood cheese. Seven of these strains, identified as Lactobacillus plantarum, were studied for probiotic characteristics. All seven strains survived at pH 3.0 for 3 h, or in the presence of oxgall at 0.3% or 0.6% for 4 h, but their viabilities were affected to different extents at pH 2.0 for 3 h. Strains C37 and C51 showed better adherence to Caco-2 cells, and higher hydrophobicity. The seven L. plantarum strains were different in in vitro free radical scavenging activities and cholesterolreducing ability. In vivo evaluation of the influence of L. plantarum C37 on the intestinal flora in a mouse model showed strain C37 could increase the viable counts of lactobacilli in feces of mice and decrease the viable counts of enterococci. When L. plantarum C37 was used to prepare probiotic Hurood cheese, it was able to maintain high viable counts (>7.8 log CFU/g) during the whole storage period, but the composition of the cheese was not changed. These results indicate that L. plantarum C37 could be considered as a promising probiotic strain.

Interaction and micellar behavior of ternary mixture of amphoteric amino sulfonate surfactant with traditional anionic and nonionic surfactants: Effect of hydrophilicity

Qing Hua Zhang,Rui Sheng,Zhao Hua Ren,Jing Huang,Yun Xiao Wang,Ben Ru Wang,Xi Lei Huang,Qin Cheng,Xue Mei Wu,Tong Bo Wang 한국공업화학회 2023 Journal of Industrial and Engineering Chemistry Vol.120 No.-

The micellization and the molecular interaction behaviors for two ternary mixtures constituted by anamphoteric sodium 3-(n-dodecyl ethylenediamino)-2-hydroxypropyl sulfonate (C12AS), an anionicsodium dodecylbenzene sulfonate (SDBS) and a nonionic octylphenol polyoxyethylated ether with thenumber (n) of oxyethylene glycol ethers OP-n (n = 10 or 7) in aqueous solution were investigated usingthe tensiometry and the effect of hydrophilicity on them was also discussed. In the framework of pseudophaseseparation model and based on the regular solution theory, the related micellization parametersincluding the mixed critical micelle concentration (cmc) values in the ideal and real cases, the activitycoefficients and the compositions in mixed micelle, etc. and thermodynamic parameters were estimatedby the Clint’s model and the Rubingh’ model. The mixed cmc value is dependent on the composition inaqueous solution and influenced by the hydrophilicity of nonionic surfactant. With increasing the nonionicin ternary mixture, the mixed cmc value is initially decreased and then slightly rise. An increasingin the hydrophilicity of nonionic will make the minimum value of mixed cmc be increased from1.299 mM to 1.705 mM. The resulting phenomena can be explained reasonably by the electrostatic effect,the steric hindrance, the hydrogen bonding, etc. Thermodynamic data indicate that the contribution ofentropy or enthalpy plays a vital role on the spontaneous process of micellization and the share ofentropy or enthalpy in free energy change is dependent largely on the amount of nonionic surfactantand the hydrophilicity. In ternary mixtures of C12AS/SDBS/OP-10, an increase in an amount of OP-10 willinduce the change from the enthalpy-driven micellization process to the entropically favorable process. Once an abundant amount of OP-7 is added, while, the enthalpy will make a main contribution on themicellization process, which can be described by the drop in the share of entropy at the composition(0.6970/0.0000/0.3030) of ternary mixture from 0.6478 to 0.4901. These findings will help with understandingthe molecular interaction behavior for the ternary surfactant mixture and the effect of the additionof nonionic surfactant and its hydrophilicity.

ACCURACY OF LAMOST DR1 STELLAR PARAMETERS

GAO, HUA,ZHANG, HUA-WEI,XIANG, MAO-SHENG,HUANG, YANG,LIU, XIAO-WEI,LUO, A-LI,ZHANG, HAO-TONG,WU, YUE,ZHANG, YONG,LI, GUANG-WEI,DU, BING The Korean Astronomical Society 2015 天文學論叢 Vol.30 No.2

We adopt the PASTEL catalog combined with SIMBAD radial velocities as a testing standard to validate the stellar parameters (effective temperature $T_{eff}$, surface gravity log g, metallicity [Fe/H] and radial velocity $V_r$) from the first data release (DR1) of The Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST) survey. After applying data reduction and temperature constraints to the sample obtained by cross-identification, we compare the stellar parameters from DR1 and PASTEL. The results show that the DR1 results are reliable under certain conditions. We derive a dispersion of 110 K, 0.19 dex, 0.11 dex and $4.91kms^{-1}$ in specified effective temperature ranges, for $T_{eff}$, log g, [Fe/H] and $V_r$ respectively. Systematic errors are negligible except for those of $V_r$. In addition, for stars with PASTEL [Fe/H] < -1:5, the metallicities in DR1 are systematically higher than those in PASTEL.

MSP58 Knockdown Inhibits the Proliferation of Esophageal Squamous Cell Carcinoma in Vitro and in Vivo

Xu, Chun-Sheng,Zheng, Jian-Yong,Zhang, Hai-Long,Zhao, Hua-Dong,Zhang, Jing,Wu, Guo-Qiang,Wu, Lin,Wang, Qing,Wang, Wei-Zhong,Zhang, Jian Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.7

Esophageal carcinoma (EC) is one of the most aggressive cancers with a poor prognosis. Understanding the molecular mechanisms underlying esophageal cancer progression is a high priority for improved EC diagnosis and prognosis. Recently, MSP58 was shown to behave as an oncogene in colorectal carcinomas and gliomas. However, little is known about its function in esophageal carcinomas. We therefore examined the effects of MSP58 knockdown on the growth of esophageal squamous cell carcinoma (ESCC) cells in vitro and in vivo in order to gain a better understanding of its potential as a tumor therapeutic target. We employed lentiviral-mediated small hairpin RNA (shRNA) to knock down the expression of MSP58 in the ESCC cell lines Eca-109 and EC9706 and demonstrated inhibition of ESCC cell proliferation and colony formation in vitro. Furthermore, flow cytometry and western blot analyses revealed that MSP58 depletion induced cell cycle arrest by regulating the expression of P21, CDK4 and cyclin D1. Notably, the downregulation of MSP58 significantly inhibited the growth of ESCC xenografts in nude mice. Our results suggest that MSP58 may play an important role in ESCC progression.

Laboratory and field studies on the reproductive ecology of Parocneria orienta (Lepidoptera: Lymantriidae) in China

Hua Yang,Kun-Sheng ZHANG,Wei YANG,Chun-Ping YANG 한국곤충학회 2015 Entomological Research Vol.45 No.2

To lay a foundation for the monitoring, prevention and control of Parocneria orienta, a pest moth in China, we investigated the reproductive ecology of P. orienta, including the environmental factors affecting reproduction and the effects of pheromones in field traps. The results showed that the mating duration is shorter when the temperature is higher, with the optimal temperature range for P. orienta reproduction being 22–27°C. The sex ratio had an effect on the male mating capacity, which significantly increased when the sex ratio was ♀:♂ ≥ 3:1. The average number of matings was 2.44 for males, while female P. orienta mated only once in a lifetime. Males were more attracted to virgin females than to mated females, and the temperature and light period had an effect on the release of sex pheromones by females. Field trap tests using virgin females supported the results obtained in the laboratory, showing that the release of sex pheromones by P. orienta follows a distinct circadian rhythm.

An automated control system for concrete temperature development in construction

Sheng Qiang,Xue-jun Leng,Xiang-rong Wang,Jing-tao Zhang,Xia Hua 사단법인 한국계산역학회 2019 Computers and Concrete, An International Journal Vol.24 No.5

PLC and its expansion module, electric ball valve and cooling pipe, electric heating steel plate and various components of the system, which is used to control test and process data. By automatically adjusting the opening of the valve, the system makes the top temperature and cooling speed develop along the ideal temperature diachronic curve. Moreover, the system enables the temperature difference between inside and surface of test block limited in a given range by automatically controlling the surface board heating. The method of physical simulation test by sandbox with built-in cooling water pipe and heating rod is adopted. On the premise of a given standard value, the operation of the system is checked under different working conditions. Further, an extension of this system is proposed, which enables its application to obtain some thermal parameters when cooperating with numerical simulation.