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Shyam Lal ◽  
Satish Kumar

AbstractIn this paper, two new estimators $$ E_{2^{k-1},0}^{(1)}(f) $$ E 2 k - 1 , 0 ( 1 ) ( f ) and $$ E_{2^{k-1},M}^{(1)}(f) $$ E 2 k - 1 , M ( 1 ) ( f ) of characteristic function and an estimator $$ E_{2^{k-1},M}^{(2)}(f) $$ E 2 k - 1 , M ( 2 ) ( f ) of function of H$$\ddot{\text {o}}$$ o ¨ lder’s class $$H^{\alpha } [0,1)$$ H α [ 0 , 1 ) of order $$0<\alpha \leqslant 1$$ 0 < α ⩽ 1 have been established using Bernoulli wavelets. A new technique has been applied for solving Volterra integral equation of second kind using Bernoulli wavelet operational matrix of integration as well as product operational matrix. These matrices have been utilized to reduce the Volterra integral equation into a system of algebraic equations, which are easily solvable. Some examples are illustrated to show the validity and efficiency of proposed technique of this research paper.

2021 ◽  
Jie Zhou ◽  
Jieni Fu ◽  
Mo Xiao ◽  
Yangyang Lv ◽  
Fei Wu ◽  

Abstract Background: Develop a new technique based on contrast-enhanced cone beam computed tomography (CBCT) to improve the detection of cracked teeth and the accuracy of crack depth evaluation in vitro. Methods: We developed an in vitro artificial simulation model of cracked teeth. Pre-experimental CBCT (pre-CBCT), and micro-computed tomography (micro-CT) were first performed for all cracked teeth (n = 31). Contrast-enhanced CBCT was then performed by infiltrating the crack with ioversol under vacuum conditions. The results of pre-CBCT, micro-CT, and contrast-enhanced CBCT were recorded. SPSS v.26.0 software (IBM Corp, Somers, NY) and R software , version 3.6.0 (R Foundation for Statistical Computing; and RStudio 1.1.463 (RStudio, PBC, Boston, MA, US) were used to perform the statistical analysis for the study.Results: The sensitivities of pre-CBCT and contrast-enhanced CBCT were 48.4%, and 67.7%, respectively. ICC value of crack depth as measured by pre-CBCT and contrast-enhanced CBCT was 0.847 (95% confidence interval:0.380-0.960; P < 0.001). The areas under ROC curves (AUC) of pre-CBCT and contrast-enhanced CBCT were different, the AUC of pre-CBCT was 0.958 (P = 0.000, 95% CI :0.843-1.074), and the AUC of enhanced CBCT was 0.979 (P = 0.000, 95% CI :0.921-1.037), and the difference was not statistically significant (Z=-0.707, P = 0.480). The ICC value of crack depth as measured by contrast-enhanced CBCT and micro-CT was 0.753 (95% CI: 0.248-0.911; P < 0.001). Conclusion: Contrast-enhanced CBCT under vacuum conditions with a contrast medium can only significantly improve the cracks detection rate of cracked teeth, but not measure the crack depths accurately.

Healthcare ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1652
Hanan Aljuaid ◽  
Hanan A. Hosni Mahmoud

Epigenetic changes are a necessary characteristic of all cancer types. Tumor cells usually target genetic changes and epigenetic alterations as well. It is most beneficial to identify epigenetic similar features among cancer various types to be able to discover the appropriate treatments. The existence of epigenetic alteration profiles can aid in targeting this goal. In this paper, we propose a new technique applying data mining and clustering methodologies for cancer epigenetic changes analysis. The proposed technique aims to detect common patterns of epigenetic changes in various cancer types. We demonstrated the validation of the new technique by detecting epigenetic patterns across seven cancer types and by determining epigenetic similarities among various cancer types. The experimental results demonstrate that common epigenetic patterns do exist across these cancer types. Additionally, epigenetic gene analysis performed on the associated genes found a strong relationship with the development of various types of cancer and proved high risk across the studied cancer types. We utilized the frequent pattern data mining approach to represent cancer types compactly in the promoters for some epigenetic marks. Utilizing the built frequent pattern item set, the most frequent items are identified and yield the group of the bi-clusters of these patterns. Experimental results of the proposed method are shown to have a success rate of 88% in detecting cancer types according to specific epigenetic pattern.

2021 ◽  
Camilla Ugolini ◽  
Logan Mulroney ◽  
Adrien Leger ◽  
Matteo Castelli ◽  
Elena Criscuolo ◽  

The SARS-CoV-2 virus has a complex transcriptome characterised by multiple, nested sub genomic RNAs used to express structural and accessory proteins. Long-read sequencing technologies such as nanopore direct RNA sequencing can recover full-length transcripts, greatly simplifying the assembly of structurally complex RNAs. However, these techniques do not detect the 5′ cap, thus preventing reliable identification and quantification of full-length, coding transcript models. Here we used Nanopore ReCappable Sequencing (NRCeq), a new technique that can identify capped full-length RNAs, to assemble a complete annotation of SARS-CoV-2 sgRNAs and annotate the location of capping sites across the viral genome. We obtained robust estimates of sgRNA expression across cell lines and viral isolates and identified novel canonical and non-canonical sgRNAs, including one that uses a previously un-annotated leader-to-body junction site. The data generated in this work constitute a useful resource for the scientific community and provide important insights into the mechanisms that regulate the transcription of SARS-CoV-2 sgRNAs.

2021 ◽  
Amr Badawy ◽  
Samer S. Bessa ◽  
Alaa Hussein ◽  
Mohamed Wael ◽  
Islam A. El‐Sayes

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Kazuya Morino ◽  
Yuto Iida ◽  
Masayuki Akimoto

A new method for intraocular lens (IOL) fixation in the scleral tunnel using two common 27G blunted needles and an ultrathin 30G needle with fewer intraocular manipulations was developed. Half-depth scleral flaps were prepared, and vertically angled sclerotomies were performed under each scleral flap, 2 mm from the limbs with a 20G microblade or a 26G needle. Two bent 27G blunted needles connected the sclerotomy and corneoscleral incisions. One haptic was inserted into this bent 27G blunted needle extraocularly and extruded through the sclerotomy site. Each haptic was inserted into the lumen of the preplaced ultrathin 30G needle and buried into the scleral tunnel. In this retrospective study, we reviewed the outcomes of this new technique in patients with at least 3 months’ follow-up data. Iris capture of the IOL was not observed in any case, and IOL repositioning was not performed either. Astigmatism induced by intraocular aberration was almost as same as that with other methods. Our technique can be performed in any operation room without any extra instruments. This trial is registered with UMIN000044350.

2021 ◽  
Vol 40 (6) ◽  
pp. 920-921
Jean-Baptiste De Villeneuve Bargemon ◽  
Michel Levadoux

Matthew E. Cheng ◽  
Jan Janzekovic ◽  
Harrison J. Theile ◽  
Caitlin Rutherford-Heard ◽  
Marie-Luise Wille ◽  

S. García-Vilana ◽  
D. Sánchez-Molina ◽  
J. Llumà ◽  
J. Velázquez-Ameijide ◽  
C. Arregui-Dalmases

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