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S. RAJA BALACHANDAR,S.G. VENKATESH,S.K.AYYASWAMY,K. BALASUBRAMANIAN,K. KRISHNAVENI 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
In this paper, the Chebyshev wavelets method for solving a model for HIV infection of CD4+ T-cells is studied. The properties of Chebyshev wavelets and their operational matrices are rst presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique is discussed. Illustrative examples are given to demonstrate the valid- ity and applicability of the technique. The eciency of the proposed method is compared with other traditional methods and it is observed that the Chebyshev wavelet method is more convenient than the other methods in terms of applica- bility, eciency, accuracy, error and computational eort.
FRACTIONAL POLYNOMIAL METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
K. KRISHNAVENI,S. RAJA BALACHANDAR,S.G. VENKATESH 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.1
This paper presents an efficient fractional shifted Legendre polyno- mial method to solve the fractional integro-differential equations. The fractional derivatives are described based on the Caputo sense by using Riemann-Liouville fractional integral operator. The theoretical analysis such as convergence anal- ysis and error bound for the proposed technique has been demonstrated. Some numerical examples are provided to show that this method is computationally efficient. Finally, the obtained results reveal that the proposed technique is very convenient and quite accurate to solve fractional integro-differential equations.
Advances in gamma radiation detection systems for emergency radiation monitoring
K.A. Pradeep Kumar,G.A. Shanmugha Sundaram,B.K. Sharma,S. Venkatesh,R. Thiruvengadathan 한국원자력학회 2020 Nuclear Engineering and Technology Vol.52 No.10
The study presents a review of research advancements in the field of gamma radiation detection systems for emergency radiation monitoring, particularly two major sub-systems namely (i) the radiation detector and (ii) the detection platform – air-borne and ground-based. The dynamics and functional characteristics of modern radiation detector active materials are summarized and discussed. The capabilities of both ground-based and aerial vehicle platforms employed in gamma radiation monitoring are deliberated in depth.
Cerci, Juliano J.,Gyö,rke, Tamá,s,Fanti, Stefano,Paez, Diana,Meneghetti, José,Clá,udio,Redondo, Francisca,Celli, Monica,Auewarakul, Chirayu,Rangarajan, Venkatesh,Gujral, Sumeet,G Society of Nuclear Medicine 2014 The Journal of nuclear medicine Vol.55 No.10
<P>Bone marrow is an important extranodal site in diffuse large B-cell lymphoma (DLBCL), and marrow histology has been incorporated into the new National Comprehensive Cancer Network international prognostic index. Marrow involvement demonstrated histologically confers poor prognosis but is identified by staging PET in more cases. How information from staging PET and biopsy should be combined to optimize outcome prediction remains unclear. <B>Methods:</B> The International Atomic Energy Agency sponsored a prospective international cohort study to better define the use of PET in DLBCL. As a planned subsidiary analysis, we examined the interplay of marrow involvement identified by PET and biopsy on clinical outcomes. <B>Results:</B> Eight countries contributed 327 cases with a median follow-up of 35 mo. The 2-y outcomes of cases with no evidence of marrow involvement (<I>n</I> = 231) were 81% (95% confidence interval [CI], 76%–86%) for event-free survival (EFS) and 88% (83%–91%) for overall survival (OS); cases identified only on PET (<I>n</I> = 61), 81% (69%–89%) for EFS and 88% (77%–94%) for OS; cases indentified only on biopsy (<I>n</I> = 10), 80% (41%–95%) for EFS and 100% for OS; or cases identified by both PET and biopsy (<I>n</I> = 25), 45% (25%–64%) for EFS and 55% (32%–73%) for OS. The hazard ratios for PET-negative/biopsy-negative cases versus PET-positive/biopsy-positive cases were 2.67 (95% CI, 1.48–4.79) for EFS and 3.94 (1.93–8.06) for OS. <B>Conclusion:</B> This large study demonstrates that positive iliac crest biopsy histology only confers poor prognosis for patients who also have abnormal marrow <SUP>18</SUP>F-FDG uptake identified on the staging PET scan. Abnormal <SUP>18</SUP>F-FDG uptake in marrow, when iliac crest biopsy histology is normal, has no adverse effect on outcomes.</P>