WOVEN g-FRAMES IN HILBERT C^∗-MODULES

Rajput, Ekta,Sahu, Nabin Kumar,Mishra, Vishnu Narayan The Kangwon-Kyungki Mathematical Society 2021 한국수학논문집 Vol.29 No.1

Woven frames are motivated from distributed signal processing with potential applications in wireless sensor networks. g-frames provide more choices on analyzing functions from the frame expansion coefficients. The objective of this paper is to introduce woven g-frames in Hilbert C∗-modules, and to develop its fundamental properties. In this investigation, we establish sufficient conditions under which two g-frames possess the weaving properties. We also investigate the sufficient conditions under which a family of g-frames possess weaving properties.

A Solution towards Eliminating Transaction Malleability in Bitcoin

Rajput, Ubaidullah,Abbas, Fizza,Oh, Heekuck Korea Information Processing Society 2018 Journal of information processing systems Vol.14 No.4

Bitcoin is a decentralized crypto-currency, which is based on the peer-to-peer network, and was introduced by Satoshi Nakamoto in 2008. Bitcoin transactions are written by using a scripting language. The hash value of a transaction's script is used to identify the transaction over the network. In February 2014, a Bitcoin exchange company, Mt. Gox, claimed that they had lost hundreds of millions US dollars worth of Bitcoins in an attack known as transaction malleability. Although known about since 2011, this was the first known attack that resulted in a company loosing multi-millions of US dollars in Bitcoins. Our reason for writing this paper is to understand Bitcoin transaction malleability and to propose an efficient solution. Our solution is a softfork (i.e., it can be gradually implemented). Towards the end of the paper we present a detailed analysis of our scheme with respect to various transaction malleability-based attack scenarios to show that our simple solution can prevent future incidents involving transaction malleability from occurring. We compare our scheme with existing approaches and present an analysis regarding the computational cost and storage requirements of our proposed solution, which shows the feasibility of our proposed scheme.

Deuterium ion irradiation impact on the current-carrying capacity of DI-BSCCO superconducting tape

Rajput M.,Swami H.L.,Kumar R.,Bano A.,Vala S.,Abhangi M.,Prasad Upendra,Kumar Rajesh,Srinivasan R. 한국원자력학회 2022 Nuclear Engineering and Technology Vol.54 No.7

In the present work, we have irradiated the DI-BSCCO superconducting tapes with the 100 keV deuterium ions to investigate the effect of ion irradiation on their critical current (Ic). The damage simulations are carried out using the binary collision approximation method to get the spatial distribution and depth profile of the damage events in the high temperature superconducting (HTS) tape. The point defects are formed near the surface of the HTS tape. These point defects change the vortex profile in the superconducting tape. Due to the long-range interaction of vortices with each other, the Ic of the tape degrades at the 77 K and self magnetic field. The radiation dose of 2.90 MGy degrades the 44% critical current of the tape. The results of the displacement per atom (dpa) and dose deposited by the deuterium ions are used to fit an empirical relation for predicting the degradation of the Ic of the tape. We include the dpa, dose and columnar defect terms produced by the incident particles in the empirical relation. The fitted empirical relation predicts that light ion irradiation degrades the Ic in the DI-BSCCO tape at the self field. This empirical relation can also be used in neutron irradiation to predict the lifetime of the DI-BSCCO tape. The change in the Ic of the DI-BSCCO tape due to deuterium irradiation is compared with the other second-generation HTS tape irradiated with energetic radiation

Insights of Boundary Layer Turbulence Over the Complex Terrain of Central Himalaya from GVAX Field Campaign

Rajput Akanksha,Singh Narendra,Singh Jaydeep,Rastogi Shantanu 한국기상학회 2024 Asia-Pacific Journal of Atmospheric Sciences Vol.60 No.2

Limited observations hinder understanding of turbulent characteristics in mountainous terrain resulting from heating or cooling of slopes, wind, vertical motions, and heat or moisture advection, which disperse aerosols and other pollutants over the region. In this study, the 1290 MHz radar wind profiler data are utilized to compute the boundary layer height (BLH), the refractive index structure constant (Cn 2), and the energy dissipation rate (ɛ) over the central Himalayan site for the period of November 2011 to March 2012, from the intense Ganges Valley Aerosol Experiment (GVAX) field measurements. The radar wind profiler (RWP) based estimation of BLH and ɛ is validated against the radiosonde, representing the effectiveness of the datasets for further investigation. The strong seasonal variation of log Cn 2 and log ɛ, with average values of ≈ -12 m−2/3 and -2 m2 s−3, respectively, is associated with the mountain-induced local circulations and stability in the atmospheric boundary layer. The weak stratification during weak flow is found to be responsible for deep mixing, particularly in the nocturnal boundary layer in spring. Furthermore, the level of cloud cover significantly impacts the strength of turbulence, with the highest cloud cover resulting in a substantial increase in log Cn 2 (approximately -11 m−2/3) due to intense updraft and downdraft motions compared to clear skies. Additionally, the distribution of aerosol loading across the site, coupled with the behavior of BLH, atmospheric stability, and orographic-induced circulations, implies distinctive seasonal mechanisms for transporting aerosols toward the mountains. This study offers valuable insights into the diurnal and seasonal patterns of turbulent mixing and the mechanisms behind the transport of pollutants through boundary layer processes over the region.

Silibinin Radiosensitizes EGF Receptor-knockdown Prostate Cancer Cells by Attenuating DNA Repair Pathways

Mohit Rajput,Deepali Mishra,Kunal Kumar,Rana P. Singh 대한암예방학회 2022 Journal of cancer prevention Vol.27 No.3

Emergence of radioresistance in prostate cancer (PCa) cells is a major obstacle in cancer therapy and contributes to the relapse of the disease. EGF receptor (EGFR) signaling plays an important role in the development of radioresistance. Herein, we have assessed the modulatory effects of silibinin on radiation-induced resistance via DNA repair pathways in EGFR-knockdown DU145 cells. shRNA-based silencing of EGFR was done in radioresistant human PCa DU145 cells and effects of ionizing radiation (IR) and silibinin were assessed using clonogenic and trypan blue assays. Furthermore, radiosensitizing effects of silibinin on PCa in context with EGFR were analyzed using flow cytometry, comet assay, and immunoblotting. Silibinin decreased the colony formation ability with an increased death of DU145 cells exposed to IR (5 Gray), with a concomitant decrease in Rad51 protein expression. Silibinin (25 μM) augmented the IR-induced cytotoxic effect in EGFR-knockdown PCa cells, along with induction of G2/M phase cell cycle arrest. Further, we studied homologous recombination (HR) and non-homologous end joining (NHEJ) pathways in silibinin-induced DNA double-strand breaks in EGFR-knockdown DU145 cells. Silibinin down-regulated the expression of Rad51 and DNA-dependent protein kinase proteins without any considerable effect on Ku70 and Ku80 in IR-exposed EGFR-knockdown PCa cells. The pro-survival signaling proteins, phospho-extracellular signal-regulated kinases (ERK)1/2, phospho-Akt and phospho-STAT3 were decreased by silibinin in EGFR-deficient PCa cells. These findings suggest a novel mechanism of silibinin-induced radiosensitization of PCa cells by targeting DNA repair pathways, HR and NHEJ, and suppressing the pro-survival signaling pathways, ERK1/2, Akt and STAT3, in EGFR-knockdown PCa cells.

Controlled $K$-frames in Hilbert C*-modules

Ekta Rajput,Nabin Kumar Sahu,Vishnu Narayan Mishra 강원경기수학회 2022 한국수학논문집 Vol.30 No.1

Controlled frames have been the subject of interest because of their ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we introduce the notion of controlled $K$-frame or controlled operator frame in Hilbert $C^{*}$-modules. We establish the equivalent condition for controlled $K$-frame. We investigate some operator theoretic characterizations of controlled $K$-frames and controlled Bessel sequences. Moreover, we establish the relationship between the $K$-frames and controlled $K$-frames. We also investigate the invariance of a controlled $K$-frame under a suitable map $T$. At the end, we prove a perturbation result for controlled $K$-frame.

Bio-inspired gold nanoparticles synthesis and their anti-biofilm efficacy

Narendrasingh Rajput,Ashok Bankar 한국약제학회 2017 Journal of Pharmaceutical Investigation Vol.47 No.6

Gold nanoparticles (AuNPs) are ‘smart nanomaterials’ with a variety of applications in the different fields. The conventional methods used for AuNPs have some drawbacks and therefore, search of an alternative ‘green method’ is of high importance. In this study, Acinetobacter baumannii AB01 isolated from an infected apple sample was used as a green route for AuNPs synthesis. Effect of various physicochemical parameters such as pH, temperature, cell density and gold chloride salt concentrations on AuNPs synthesis was studied. These AuNPs were further characterized by UV–Vis spectrophotometer, transmission electron microscopy (TEM), energy dispersive spectroscopy, X-ray diffraction and dynamic light scattering. TEM images study showed presence of an extracellular polymeric substance around cells of A. baumannii AB01. The synthesized biogenic AuNPs were tested for their antibacterial activity by well diffusion method. Anti-biofilm efficacy of AuNPs was tested on the glass slide surfaces against the biofilms of Pseudomonas aeruginosa, Vibrio cholera and Brevibacterium linens and visualised by using a fluorescence microscopy. Biofilm formation was reduced about 60–80 % when compared with control biofilm (without AuNPs). Effect of different AuNPs concentrations on biofilm formation in microtiter plates was studied by 96-well plate assay. The bacterial biofilm inhibition (%) was increased with increasing concentrations of AuNPs.

A Solution towards Eliminating Transaction Malleability in Bitcoin

( Ubaidullah Rajput ),( Fizza Abbas ),( Heekuck Oh ) 한국정보처리학회 2018 Journal of information processing systems Vol.14 No.4

Bitcoin is a decentralized crypto-currency, which is based on the peer-to-peer network, and was introduced by Satoshi Nakamoto in 2008. Bitcoin transactions are written by using a scripting language. The hash value of a transaction’s script is used to identify the transaction over the network. In February 2014, a Bitcoin exchange company, Mt. Gox, claimed that they had lost hundreds of millions US dollars worth of Bitcoins in an attack known as transaction malleability. Although known about since 2011, this was the first known attack that resulted in a company loosing multi-millions of US dollars in Bitcoins. Our reason for writing this paper is to understand Bitcoin transaction malleability and to propose an efficient solution. Our solution is a softfork (i.e., it can be gradually implemented). Towards the end of the paper we present a detailed analysis of our scheme with respect to various transaction malleability-based attack scenarios to show that our simple solution can prevent future incidents involving transaction malleability from occurring. We compare our scheme with existing approaches and present an analysis regarding the computational cost and storage requirements of our proposed solution, which shows the feasibility of our proposed scheme.

Methanol Extract of Moringa Oleifera Rejuvenate Pancreatic β-Cells in Experimental Type 2 Diabetic Model Rats

( Sumit Rajput ),( P Ashok ),( A Joshi ) 대한간학회 2020 춘·추계 학술대회 (KASL) Vol.2020 No.1

Aims: Diabetes mellitus is an endocrine disease of multiple aetiologies in insulin secretion. A deficiency in insulin results in hyperglycemia with metabolic disturbances of biomolecules. Moringa oleifera is endemic in the tropics with a variety of ethnomedicinal importance. The leaf of this plant has been reported to possess antioxidant and medicinal properties that may be helpful in the treatment and management of diabetes and its associated complications. This study evaluated the antidiabetic potentials of flavonoid-rich aqueous fraction of methanolic extract of Moringa oleifera (MOE) on the pancreatic β-cells of streptozotocin (STZ) and high-fat diet induced type 2 diabetes mellitus (T2DM) in rats. Methods: Diabetes was induced intraperitoneally in rats by a single dose of streptozotocin (55 mg/kg) and treated with MOE (50, 100, 200 mg/kg b.wt) for six weeks. The rats were randomly divided into normal (NC), T2DM, metformin (Met), low, middle (Mid), and high (Hig) does of MOE groups. After six weeks of continuous administration of MOE, the serum indices and tissue protein expression were determined, and the pathological changes in liver and pancreas tissues were observed. Animals were sacrificed; the splenic portion of their pancreas and serum were evaluated for histopathological and biochemical parameters respectively. Results: The results showed that compared with the type 2 diabetes mellitus group, the fasting blood glucose (FBG), total cholesterol (TC), and triglyceride (TG) levels in the serum of rats in the dose dependent MOE treatment groups were significantly (P<0.05). decreased, while superoxide dismutase (SOD) and glutathione peroxidase (GSH-PX) levels were noticeably increased. The expression of Fas ligand (FasL), cytochrome C (Cyt-c), and caspase-3 in pancreatic tissue was obviously decreased, and the pathological damage to the liver, kidney, and pancreas was improved. These indicate that MOE can reduce oxidative stress in rats with diabetes mellitus by improving blood lipid metabolism and enhancing their antioxidant capacity, thereby regulating the mitochondrial apoptotic pathway to inhibitβ-cell apoptosis and improve β-cell function. The morphology of the pancreas of MOE-treated diabetic rats revealed remarkable improvements in the islet of Langerhans. Stereological studies also revealed that MOE-treatment remarkably improved volume of the pancreatic islets and the numerical density of β-cell (number of β-cells per unit area of islet) depleted by STZ diabetes. Conclusions: The study concluded that possible antidiabetic mechanism of MOE in STZ diabetes is through induction of β-cell regeneration and its strong antioxidant potential.

Evaluation of Thermal Protective Performance of Fire Protective Clothing under Different Exposure Conditions

Bhavna Rajput,Prabal Talukdar,Bahni Ray,Apurba Das 한국전산유체공학회 2022 한국전산유체공학회 학술대회논문집 Vol.2022 No.10