THE REPRESENTATION AND PERTURBATIONOF THE W-WEIGHTED DRAZIN INVERSE

ZHAOLIANG XU,GUORONG WANG 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.23 No.1

Let A and E be m×n matrices and W an n×m matrix, and let Ad,W denote the W-weighted Drazin inverse of A . In this paper, a new representation of the W-weighted Drazin inverse of A is given. Some new properties for the W-weighted Drazin inverse Ad,W and Bd,W are investigated, where B = A+E. In addition, the Banach-type perturbation theorem for the W-weighted Drazin inverse of A and B are established, and the perturbation bounds for kBd,W k and kBd,W −Ad,W k/kAd,W k are also presented. When A and B are square matrices and W is identity matrix, some known results in the literature related to the Drazin inverse and the group inverse are directly reduced by the results in this paper as special cases.

THE REPRESENTATION AND PERTURBATION OF THE W-WEIGHTED DRAZIN INVERSE

Xu, Zhaoliang,Wang, Guorong 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.23 No.1

Let A and E be $m{\times}n$ matrices and W an $n{\times}m$ matrix, and let $A_{d,w}$ denote the W-weighted Drazin inverse of A. In this paper, a new representation of the W-weighted Drazin inverse of A is given. Some new properties for the W-weighted Drazin inverse $A_{d,w}\;and\;B_{d,w}$ are investigated, where B=A+E. In addition, the Banach-type perturbation theorem for the W-weighted Drazin inverse of A and B are established, and the perturbation bounds for ${\parallel}B_{d,w}{\parallel}\;and\;{\parallel}B_{d,w}-A_{d,w}{\parallel}/{\parallel}A_{d,w}{\parallel}$ are also presented. When A and B are square matrices and W is identity matrix, some known results in the literature related to the Drazin inverse and the group inverse are directly reduced by the results in this paper as special cases.

The reverse order law for the $W$-weighted Drazin inverse of multiple matrices product

Guorong Wang,Zhaoliang Xu 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.21 No.1-2

Bamboo- and pig-derived biochars reduce leaching losses of dibutyl phthalate, cadmium, and lead from co-contaminated soils

Qin, Peng,Wang, Hailong,Yang, Xing,He, Lizhi,Mü,ller, Karin,Shaheen, Sabry M.,Xu, Song,Rinklebe, Jö,rg,Tsang, Daniel C.W.,Ok, Yong Sik,Bolan, Nanthi,Song, Zhaoliang,Che, Lei,Xu, Xiaoya Elsevier 2018 CHEMOSPHERE - Vol.198 No.-

<P><B>Abstract</B></P> <P>Biochar effect on the potential mobility of dibutyl phthalate (DBP), cadmium (Cd), and lead (Pb) in co-contaminated soils is not well investigated. A laboratory leaching study was conducted to evaluate the effect of biochars derived from bamboo (BB) and pig (PB) on the leachability of DBP, Cd, and Pb through soil columns packed with two soils with low or high organic carbon content (LOC; 0.35% C: HOC; 2.24% C) and spiked with DBP, Cd, and Pb. Application of PB to the LOC soil significantly (<I>P</I> < 0.05) reduced the leaching loss by up to 88% for DBP, 38% for Cd, and 71% for Pb, whereas its impact was insignificant in the HOC soil. The higher efficacy of PB in reducing the leaching of DBP, Cd, and Pb in the LOC soil than that of BB might be related to PB's higher specific surface area, surface alkalinity, pH, and mineral contents compared to those of BB. Co-contamination of Cd and Pb enhanced leaching of DBP in the LOC soil treated with PB, possibly by competition for the sorption sites. Leaching of DBP, Cd, and Pb were significantly (<I>P</I> < 0.05) higher in the LOC soil than in the HOC soil. This study revealed that the effectiveness of biochars was dependent on the soil organic carbon content. Application of PB to the LOC soil was effective in reducing the leaching risk of DBP, Cd, and Pb.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Pig biochar reduced leaching of DBP, Cd, and Pb in the low organic carbon (LOC) soil. </LI> <LI> Contaminant leaching was higher in the LOC soil than in the high organic carbon soil. </LI> <LI> Existence of Cd and Pb enhanced mobility of DBP in the pig biochar-treated LOC soil. </LI> <LI> Alkalinity and phosphate in biochar controlled the leaching loss of Cd and Pb. </LI> <LI> Impact of pig biochar on leaching of DBP, Cd, and Pb is stronger than bamboo biochar. </LI> </UL> </P>

The Focused Electrode Ring for Electrohydrodynamic Jet and Printing on Insulated Substrate

Zeshan Abbas,Dazhi Wang,Liangkun Lu,Zhaoliang Du,Xiangyu Zhao,Kuipeng Zhao,Meng Si,Penghe Yin,Xi Zhang,Yan Cui,Junsheng Liang 한국정밀공학회 2022 International Journal of Precision Engineering and Vol.23 No.5

Drop-on-demand electrohydrodynamic jet (DoD E-Jet) printing is considered a well-known type of fabrication method contemporary since it can be used to print high-resolution microstructures (< 1 μm) on various insulating substrates. This paper presents a numerical study of DoD E-Jet printing using a novel combination of needle and focused electrode ring to print stable and consistent microdroplets on a Polyethylene terephthalate substrate. Primarily, a phase field method was used to generate a stable cone-jet morphology that can allow the production of high-resolution micron/nano structures on PET substrates. The numerical simulation of cone-jet morphology was performed by COMSOL multiphysics software. Further, the impact of key parameters such as flow rate and dc positive pulse voltage was studied on cone-jet morphology through numerical simulation. Subsequently, optimized operating parameters i.e., f = 5.3 . 10 –15 m 3 s −1 , V n = 1.9 kV and V r = 0.7 kV were achieved by performing a series of numerical experiments. Then, optimized parameters by simulation were directly used to print arrays of stable droplets on PET substrate using the focused electrode ring in different locations by regulating distance 0.2 mm to 1.3 mm between needles to focused electrode ring. The minimum size of stable microdrop was measured 3 μm on PET substrate (thickness = 0.2 mm) using a 50 μm size quartz capillary maintaining a distance of 0.2 mm between combined needle and focused electrode ring. The experimental results proved that the simulation model is useful for printing different microstructures on insulating substrates and creating a promising production path for micro-electro mechanical system and nano-electro mechanical system (MEMS and NEMS).

Trophoblast Cell Subtypes and Dysfunction in the Placenta of Individuals with Preeclampsia Revealed by Single‑Cell RNA Sequencing

Wenbo Zhou,Huiyan Wang,Yuqi Yang,Fang Guo,Bin Yu,Zhaoliang Su 한국분자세포생물학회 2022 Molecules and cells Vol.45 No.5

Trophoblasts, important functional cells in the placenta, play a critical role in maintaining placental function. The heterogeneity of trophoblasts has been reported, but little is known about the trophoblast subtypes and distinctive functions during preeclampsia (PE). In this study, we aimed to gain insight into the cell type-specific transcriptomic changes by performing unbiased single-cell RNA sequencing (scRNA-seq) of placental tissue samples, including those of patients diagnosed with PE and matched healthy controls. A total of 29,006 cells were identified in 11 cell types, including trophoblasts and immune cells, and the functions of the trophoblast subtypes in the PE group and the control group were also analyzed. As an important trophoblast subtype, extravillous trophoblasts (EVTs) were further divided into 4 subgroups, and their functions were preliminarily analyzed. We found that some biological processes related to pregnancy, hormone secretion and immunity changed in the PE group. We also identified and analyzed the regulatory network of transcription factors (TFs) identified in the EVTs, among which 3 modules were decreased in the PE group. Then, through in vitro cell experiments, we found that in one of the modules, CEBPB and GTF2B may be involved in EVT dysfunction in PE. In conclusion, our study showed the different transcriptional profiles and regulatory modules in trophoblasts between placentas in the control and PE groups at the single-cell level; these changes may be involved in the pathological process of PE, providing a new molecular theoretical basis for preeclamptic trophoblast dysfunction.

Triangular angles parameterization for the correlation matrix of bivariate longitudinal data

Lu Fei,Xue Liugen,Wang Zhaoliang 한국통계학회 2020 Journal of the Korean Statistical Society Vol.49 No.2

Multivariate longitudinal data is often encountered in the jobs of statisticians and practitioners. It is challenging to model the covariance matrix due to the complex structure of correlations among multiple responses. For this modeling task, several effective Cholesky decomposition based methods have been studied. However, direct interpretation of the covariation structure among multiple responses is still less well investigated to the best of our knowledge. In this paper, we propose a joint meanvariance correlationmodelingmethod based on the triangular angles parameterization (TAP) for the correlation matrix of bivariate longitudinal data. The proposed unconstrained parameterization is able to automatically eliminate the positive definiteness constraint of the correlation matrix and leads to the aforementioned direct interpretation. Furthermore, the variance matrix is diagonal rather than block-diagonal, so the positive-definiteness constraint of this matrix can be easily satisfied. The entries of the proposed decomposition are modeled by regression models, and the maximum likelihood estimators of regression parameters are obtained. The resulting estimators are shown to be consistent and asymptotically normal. Simulations and a study of poplar growth illustrate that the proposed method performs well.

Inheritance and Genetic Mapping of Late Bolting Gene in Radish (Raphanus Sativus L.)

Liwang Liu,Liping Zhao,Mingxia Wang,Zhaoliang Lu,Yanling Zhao,Yiqin Gong 한국원예학회 2006 한국원예학회 기타간행물 Vol.- No.-

Bacterial bug-out bags: outer membrane vesicles and their proteins and functions

Kesavan Dineshkumar,Vasudevan Aparna,Liang Wu,Jie Wan,Mohamod Hamed Abdelaziz,Zhaoliang Su,Shengjun Wang,Huaxi Xu 한국미생물학회 2020 The journal of microbiology Vol.58 No.7

Among the major bacterial secretions, outer membrane vesicles (OMVs) are significant and highly functional. The proteins and other biomolecules identified within OMVs provide new insights into the possible functions of OMVs in bacteria. OMVs are rich in proteins, nucleic acids, toxins and virulence factors that play a critical role in bacteria-host interactions. In this review, we discuss some proteins with multifunctional features from bacterial OMVs and their role involving the mechanisms of bacterial survival and defence. Proteins with moonlighting activities in OMVs are discussed based on their functions in bacteria. OMVs harbour many other proteins that are important, such as proteins involved in virulence, defence, and competition. Overall, OMVs are a power-packed aid for bacteria, harbouring many defensive and moonlighting proteins and acting as a survival kit in case of an emergency or as a defence weapon. In summary, OMVs can be defined as bug-out bags for bacterial defence and, therefore, survival.

Comparative analysis biochar and compost-induced degradation of di-(2-ethylhexyl) phthalate in soils

He, Lizhi,Fan, Shiliang,Mü,ller, Karin,Wang, Hailong,Che, Lei,Xu, Song,Song, Zhaoliang,Yuan, Guodong,Rinklebe, Jö,rg,Tsang, Daniel C.W.,Ok, Yong Sik,Bolan, Nanthi S. Elsevier 2018 Science of the Total Environment Vol.625 No.-

<P><B>Abstract</B></P> <P>In recent years, biochar has been extensively studied as a sorbent for immobilizing contaminants and minimizing their bioavailability in soils. Few studies have been conducted to evaluate the interactions between biochar and compost in soils and their impact on degradation of organic contaminants. In the present study, soils with high organic carbon content (HOC) and low organic carbon content (LOC) were spiked with 100mg·kg<SUP>−1</SUP> di-(2-ethylhexyl) phthalate (DEHP) amended with biochar derived from dead pigs, bamboo, and composted sheep manure. The soils were thereafter incubated for 112days at 25°C and periodically sampled for monitoring DEHP concentrations. Degradation of DEHP was described by a logistic model. Results showed that the initial degradation rates were slow, but accelerated after 14days of incubation. The DEHP degradation rates were higher in the HOC soils than in the LOC soils over the incubation period. The half-lives of DEHP were shorter in the LOC soils treated with pig biochar, and bamboo/pig biochar plus compost than in the untreated soil. However, there was no significant difference in the half-lives of DEHP in the HOC control and treated soils. The differential effects of soil amendments on DEHP degradation between LOC and HOC soils could be explained by the properties of the organic amendments, soil pH and the organic carbon contents of the soils.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Di-(2-ethylhexyl) phthalate (DEHP) degraded faster in high organic matter soil. </LI> <LI> DEHP half-life declined in low organic matter soil amended with biochar and compost. </LI> <LI> Biochar had no effect on DEHP half-life in high organic matter soil. </LI> <LI> DEHP degradation accelerated after 2weeks incubation. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>