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On harmonic convolutions involving a vertical strip mapping
Raj Kumar,Sushma Gupta,Sukhjit Singh,Michael Dorff 대한수학회 2015 대한수학회보 Vol.52 No.1
Let $ f_\beta=h_\beta+\overline{g}{_\beta}$ and $F_a=H_a+\overline{G}_a$ be harmonic mappings obtained by shearing of analytic mappings $$h_\beta+g_\beta={1}/{(2i{\sin}\beta)}\log\left({(1+ze^{i\beta})}/{(1+ze^{-i\beta})}\right),~0<\beta<\pi$$ and $H_a+G_a={z}/{(1-z)}$, respectively. Kumar \emph{et al.} \cite{ku and gu} conjectured that if $\omega(z)=e^{i\theta}z^n (\theta\in\mathbb{R},\,\, n\in \mathbb{N})$ and $ \omega_a(z)={(a-z)}/{(1-az)},\,a\in(-1,1)$ are dilatations of $f_\beta$ and $F_a$, respectively, then $F_a\widetilde\ast f_\beta \, \in S_H^0$ and is convex in the direction of the real axis, provided $a\in \left[{(n-2)}/{(n+2)},1\right)$. They claimed to have verified the result for $n=1,2,3$ and $4$ only. In the present paper, we settle the above conjecture, in the affirmative, for $\beta=\pi/2$ and for all $n\in \mathbb{N}$.
ON HARMONIC CONVOLUTIONS INVOLVING A VERTICAL STRIP MAPPING
Kumar, Raj,Gupta, Sushma,Singh, Sukhjit,Dorff, Michael Korean Mathematical Society 2015 대한수학회보 Vol.52 No.1
Let $f_{\beta}=h_{\beta}+\bar{g}_{\beta}$ and $F_a=H_a+\bar{G}_a$ be harmonic mappings obtained by shearing of analytic mappings $h_{\beta}+g_{\beta}=1/(2isin{\beta})log\((1+ze^{i{\beta}})/(1+ze^{-i{\beta}})\)$, 0 < ${\beta}$ < ${\pi}$ and $H_a+G_a=z/(1-z)$, respectively. Kumar et al. [7] conjectured that if ${\omega}(z)=e^{i{\theta}}z^n({\theta}{\in}\mathbb{R},n{\in}\mathbb{N})$ and ${\omega}_a(z)=(a-z)/(1-az)$, $a{\in}(-1,1)$ are dilatations of $f_{\beta}$ and $F_a$, respectively, then $F_a\tilde{\ast}f_{\beta}{\in}S^0_H$ and is convex in the direction of the real axis, provided $a{\in}[(n-2)/(n+2),1)$. They claimed to have verified the result for n = 1, 2, 3 and 4 only. In the present paper, we settle the above conjecture, in the affirmative, for ${\beta}={\pi}/2$ and for all $n{\in}\mathbb{N}$.
Kumar Mongre, Raj,Sharma, Neelesh,Singh Sodhi, Simrinder,Ghosh, Mrinmoy,Kumar Singh, Amit,Kim, Nameun,Park, Yang Ho,Shin, Young Gyu,Kim, Sung Jin,Jiao Jiao, Zhang,Huynh, Do Luong,Jeong, Dong Kee EDITIONS SCIENTIFIQUES ELSEVIER 2017 BIOMEDICINE AND PHARMACOTHERAPY Vol.87 No.-
<P><B>Abstract</B></P> <P>Hepatocellular carcinoma (HCC) is a major threat to human health worldwide and development of novel antineoplastic drug is demanding task. BRM270 is a proprietary combination of traditional medicinal herbs, has been shown to be effective against a wide range of stem-like cancer initiating cells (SLCICs). However, the underlying mechanism and antitumor efficacy of BRM270 in human hepatocellular carcinoma (HCC) cells have not been well elucidated till date. Here we studied the tumoricidal effect of BRM270 on human-CD133<SUP>+</SUP> expressing stem-like HepG-2 and SNU-398 cells. Gene expression profiling by qPCR and specific cellular protein expressions was measured using immunocytochemistry/western blot analysis. <I>In vivo</I> efficacy of BRM270 has been elucidated in the SLCICs induced xenograft model. In addition, 2DG-(2-Deoxy-<SMALL>D</SMALL>-Glucose) optical-probe guided tumor monitoring was performed to delineate the size and extent of metastasized tumor. Significant (<I>P</I> <I><</I> 0.05) induction of Annexin-V positive cell population and dose-dependent upregulation of caspase-3 confirmed apoptotic cell death by pre/late apoptosis. In addition, bright field and fluorescence microscopy of treated cells revealed apoptotic morphology and DNA fragmentation in Hoechst33342 staining. Levels of c-Myc, Bcl-2 and c-Jun as invasive potential apoptotic marker were detected using qPCR/Western blot. Moreover, BRM270 significantly (<I>P</I> <I><</I> 0.05) increased survival rate that observed by Kaplan-Meier log rank test. In conclusion, these results indicate that BRM270 can effectively inhibit proliferation and induce apoptosis in hepatoma cells by down-regulating CyclinD1/Bcl2 mediated c-Jun apoptotic pathway.</P>
Raj Kumar Mongre,Simrinder Singh Sodhi,Mrinmoy Ghosh,Jeong Hyun Kim,Nameun Kim,Neelesh Sharma,Dong Kee Jeong 한국발생생물학회 2014 발생과 생식 Vol.18 No.4
Osteosarcoma (OS) is one of the most common malignant primary bone tumors and NF-κB appears to play a causative role, but the mechanisms are poorly understood. OS is one of the pleomorphic, highly metastasized and invasive neoplasm which is capable to generate osteoid, osteoclast and osteoblast matrix. Its high incidence has been reported in adolescent and children. Cell signal cascade is the pivotal functional mechanism acquired during the differentiation, proliferation, growth and survival of the cells in neoplasm including OS. The major limitation to the success of chemotherapy in OS is the development of multidrug resistance (MDR). Answers to all such queries might come from the knock-in experiments in which the combined approach of miRNAs with NF-κB pathway is put into use. Abnormal miRNAs can modulate several epigenetical switching as a hallmark of number of diseases via different cell signaling. Studies on miRNAs have opened up the new avenues for both the diagnosis and treatment of cancers including OS. Collectively, through the present study an attempt has been made to establish a new systematic approach for the investigation of microRNAs, biophysiological factors and their target pairs with NF-κB to ameliorate oncogenesis with the “bridge between miRNAs and NF- κB”. The application of NF-κB inhibitors in combination with miRNAs is expected to result in a more efficient killing of the cancer stem cells and a slower or less likely recurrence of cancer.
Radioprotective and Antioxidant Activity of Fractionated Extracts of Berries of Hippophae rhamnoides
Rakesh Kumar Sharma,Raman Chawla,Rajesh Arora,Shikha Singh,Ravinder Kumar Sagar,Raj Kumar,Ashok Sharma,Manju L. Gupta,Surender Singh,Jagdish Prasad,Haider A. Khan,Anand Swaroop,A.K. Sinha,A.K. Gupta,R 한국식품영양과학회 2007 Journal of medicinal food Vol.10 No.1
Plants are an abundant source of medicinal compounds, some of which are useful in combating free radical-1002 (flavonoid-poor fraction) of Hippophae rhamnoideswere screened on the basis of their reducing power in the aqueousphase. REC-1001 was selected for further study, since it exhibited 27.38 times higher antioxidant activity than REC-1002.REC-1001 also showed significant (P. .05) membrane protection potential at 50 .g/mL, which was attributed to its abilityto scavenge peroxyl radicals (64.82. 1.25% scavenging within 1,440 min). A significant (P. .05) difference of 67.02% infree radical scavenging activity at 1,000 ng/mL between REC-1001 and vitamin E demonstrated the extract fraction’s worthc-tion. Further, REC-1001 was found to be nontoxic up to 200 mg/kg of body weight. This research suggests that the REC-1001 fraction of H. rhamnoidesextract is a safe and effective antioxidant nutraceutical product.
Priyanka Singh,Aruna Nambirajan,Manish Kumar Gaur,Rahul Raj,Sunil Kumar,Prabhat Singh Malik,Deepali Jain 대한병리학회 2022 Journal of Pathology and Translational Medicine Vol.56 No.4
Epithelioid inflammatory myofibroblastic sarcoma (EIMS) is an aggressive subtype of inflammatory myofibroblastic tumor (IMT) harboring anaplastic lymphoma kinase (<i>ALK</i>) gene fusions and is associated with high risk of local recurrence and poor prognosis. Herein, we present a young, non-smoking male who presented with complaints of cough and dyspnoea and was found to harbor a large right lower lobe lung mass. Biopsy showed a high-grade epithelioid to rhabdoid tumor with ALK and desmin protein expression. The patient initially received 5 cycles of crizotinib and remained stable for 1 year; however, he then developed multiple bony metastases, for which complete surgical resection was performed. Histopathology confirmed the diagnosis of EIMS, with <i>ALK</i> gene rearrangement demonstrated by fluorescence in situ hybridization. Postoperatively, the patient is asymptomatic with stable metastatic disease on crizotinib and has been started on palliative radiotherapy. EIMS is a very rare subtype of IMT that needs to be included in the differential diagnosis of ALKexpressing lung malignancies in young adults.
( Gupta Anil Kumar ),( Rajiv Pathak ),( Bharat Singh ),( Hemlata Gautam ),( Ram Kumar ),( Raj Kumar ),( Rajesh Arora ),( Hemant K. Gautam ) 한국미생물 · 생명공학회 2011 Journal of microbiology and biotechnology Vol.21 No.6
A Gram-positive bacterium was isolated from the saline soils of Jangpura (U.P.), India, and showed high-level of radiation-resistant property and survived upto 12.5 kGy dose of gamma radiation. The 16S rDNA sequence of this strain was examined, identified as Bacillus sp. strain HKG 112, and was submitted to the NCBI GenBank (Accession No. GQ925432). The mechanism of radiation resistance and gene level expression were examined by proteomic analysis of whole-cell extract. Two proteins, 38 kDa and 86.5 kDa excised from SDS-PAGE, which showed more significant changes after radiation exposure, were identified by MALDI-TOF as being flagellin and S-layer protein, respectively. Twenty selected 2-DE protein spots from the crude extracts of Bacillus sp. HKG 112, excised from 2- DE, were identified by liquid chromatography mass spectrometry (LC-MS) out of which 16 spots showed significant changes after radiation exposure and might be responsible for the radiation resistance property. Our results suggest that the different responses of some genes under radiation for the expression of radiation-dependent proteins could contribute to a physiological advantage and would be a significant initial step towards a fullsystem understanding of the radiation stress protection mechanisms of bacteria in different environments.
Singh, Ratan,Kumar, Raj,Singh, D.P. The Korean Society of Food Science and Nutrition 2009 Journal of medicinal food Vol.12 No.1
The nonsteroidal anti-inflammatory drugs (NSAIDs) are among the most commonly prescribed drugs in the world. Their use as anti-inflammatory, antipyretic, antithrombotic, and analgesic agents is, however, restricted by their adverse effects on gastrointestinal (GI) tract. To overcome this problem with NSAIDs, two new strategies in the development of these drugs are explained. The first approach is the development of selective inhibitors of the enzyme cyclooxygenase (COX)-2, the inducible isoform of the prostaglandin G/H synthetase enzyme. COX exists in two isoforms, viz., COX-1 and COX-2. Selective inhibitors of COX-2 will suppress prostaglandin synthesis at the sites of inflammation, but they will not interfere with the activity of COX-1, in tissues like the GI tract. The use of selective COX-2 inhibitors, however, lacks the cardioprotective effects mediated by COX-1. An alternate approach to reduce the GI toxicity of NSAIDs is the development of nitric oxide (NO)-releasing NSAIDs. It has been reported that NO does not affect the gastroduodenal mucosa and produces the same effects as endogenous prostaglandins. The present article focuses on the NO-releasing NSAIDs, which are from the conventional class of COX-2 inhibitors that have potential clinical applications, as well as some drug candidates still under development.
( Raj Narayan Yadav ),( Binit Kumar Singh ),( Rohini Sharma ),( Jigyasa Chaubey ),( Sanjeev Sinha ),( Pankaj Jorwal ) 대한결핵 및 호흡기학회 2021 Tuberculosis and Respiratory Diseases Vol.84 No.3
Background: The emergence of drug-resistant tuberculosis (TB), is a major menace to cast off TB worldwide. Line probe assay (LPA; GenoType MTBDRplus ver. 2) and Xpert MTB/RIF assays are two rapid molecular TB detection/diagnostic tests. To compare the performance of LPA and Xpert MTB/RIF assay for early diagnosis of rifampicin-resistant (RR) TB in acid-fast bacillus (AFB) smear-positive and negative sputum samples. Methods: A total 576 presumptive AFB patients were selected and subjected to AFB microscopy, Xpert MTB/RIF assay and recent version of LPA (GenoType MTBDRplus assay version 2) tests directly on sputum samples. Results were compared with phenotypic culture and drug susceptibility testing (DST). DNA sequencing was performed with rpoB gene for samples with discordant rifampicin susceptibility results. Results: Among culture-positive samples, Xpert MTB/RIF assay detected Mycobacterium tuberculosis (Mtb) in 97.3% (364/374) of AFB smear-positive samples and 76.5% (13/17) among smear-negative samples, and the corresponding values for LPA test (valid results with Mtb control band) were 97.9% (366/374) and 58.8% (10/17), respectively. For detection of RR among Mtb positive molecular results, the sensitivity of Xpert MTB/RIF assay and LPA (after resolving discordant phenotypic DST results with DNA sequencing) were found to be 96% and 99%, respectively. Whereas, specificity of both test for detecting RR were found to be 99%. Conclusion: We conclude that although Xpert MTB/RIF assay is comparatively superior to LPA in detecting Mtb among AFB smear-negative pulmonary TB. However, both tests are equally efficient in early diagnosis of AFB smear-positive presumptive RR-TB patients.