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        ON STUDY OF f-APPROXIMATION PROBLEMS AND σ-INVOLUTORY VARIATIONAL INEQUALITY PROBLEMS

        Siddharth Mitra,Prasanta Kumar Das 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2

        The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.

      • KCI등재

        Analysis of Spinopelvic Parameters with L5 as the New Sacrum after Fusion in High-Grade Spondylolisthesis: A Possible Explanation for Satisfactory Results with In-Situ Fusion

        Shanmuganathan Rajasekaran,Gurudip Das,Siddharth Narasimhan Aiyer,Rishi Mugesh Kanna,Ajoy Prasad Shetty 대한척추외과학회 2018 Asian Spine Journal Vol.12 No.1

        Study Design: Retrospective case series. Purpose: To correlate functional outcomes with spinopelvic parameters in patients with high-grade spondylolisthesis (HGS) treated with instrumented in-situ surgery or reduction and fusion Overview of Literature: Satisfactory functional outcomes are reported with reduction and in-situ fusion strategies in HGS. However, reasons for this are unclear. We hypothesize that following lumbosacral fusion, the L5 becomes part of the sacrum, which improves spinopelvic parameters, resulting in equivalent functional outcomes in both surgical methods. Methods: Twenty-six patients undergoing HGS (reduction group A, 13; in-situ group B, 13) were clinically evaluated using the Os- westry Disability Index (ODI), short form-12 (SF-12), and Visual Analogue Scale (VAS) scores. Spinopelvic parameters, including pelvic incidence, pelvic tilt (PT), sacral slope (SS), lumbar lordosis (LL), lumbosacral kyphosis (LSK) angle, and sacrofemoral distance (SFD) were measured preoperatively from S1 and postoperatively from L5 as the new sacrum at 1 year follow-up. Sagittal alignment was assessed using the sagittal vertical axis. Results: Both groups were comparable in terms of age, sex, severity of slip, and preoperative spinopelvic parameters (p >0.05). Postoperative VAS, SF-12, and ODI scores significantly improved in both groups (p <0.05). Compared with preoperative values, the mean postoperative PT, SFD, and LSK significantly changed in both groups. In reduction group, PT changed from 26.98° to 10.78°, SFD from 61.24 to 33.56 mm, and LSK from 74.76° to 109.61° (p <0.05). In in-situ fusion group PT changed from 26.78° to 11.08°, SFD from 62.9 to 36.99 mm, and LSK from 67.23° to 113.38° (p <0.05 for all). In both groups, SS and LL did not change significantly (p >0.05). Conclusions: After fusion, the L5 becomes the new sacrum and influences spinopelvic parameters to change favorably. This possibly explains why reduction and in-situ fusion achieve equivalent functional outcomes in HGS.

      • SCIEKCI등재

        Efficacy and safety of hydroxychloroquine in osteoarthritis: a systematic review and meta-analysis of randomized controlled trials

        ( Ambrish Singh ),( Anirudh Kotlo ),( Zhiqiang Wang ),( Thusharika Dissanayaka ),( Siddharth Das ),( Benny Antony ) 대한내과학회 2022 The Korean Journal of Internal Medicine Vol.37 No.1

        Background/Aims: Conventional disease-modifying anti-rheumatic drugs have been trialed in osteoarthritis (OA). Hydroxychloroquine (HCQ), which has shown its effectiveness in rheumatoid arthritis, has been trialed for the treatment of OA; however, its efficacy and safety remain unclear. This systematic review and meta-analysis evaluate efficacy and safety of HCQ for the treatment of OA. Methods: MEDLINE, EMBASE, and Cochrane Central were searched from inception through June 2020. Two reviewers independently screened for randomized controlled trials (RCTs) comparing HCQ with placebo or other active-comparators for the treatment of knee, hand, or hip OA, extracted data, and performed Cochrane risk of bias assessments. Results: Six RCTs, four in hand OA, two in knee OA, consisting of 842 patients (436 in HCQ arm, 406 in control arm) were included. RCTs were conducted between 2012 and 2020, one each at UK, Netherlands, Germany, Italy, Iran, and Egypt; follow-up period ranged 24 to 52 weeks. High-quality evidence showed no clinically important pain reduction with HCQ compared to placebo/active-control in hand OA (standardized mean difference [SMD], 0.14; 95% confidence interval [CI], -0.20 to 0.48). Effect on pain reduction in knee and hand OA was small and non-significant (SMD, -0.09; 95% CI, -0.44 to 0.25). High-quality evidence showed no improvement in dysfunction with HCQ compared to placebo in hand OA patients (SMD, 0.08; 95% CI, -0.23 to 0.40). Effect on dysfunction improvement in knee and hand OA was modest and statistically non-significant (SMD, -0.20; 95% CI, -0.57 to 0.18). No improvement in quality of life was observed in hand OA. Conclusions: HCQ has no benefit in reducing pain and improving physical function in hand or knee OA patients.

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