A Proof of the Puiseux - Halphen Inequality in the Theory of Spherical Pendulum Based on an Interesting Identity of S. Ramanujan

The classical problem of finding bounds for the apsidal angle in the case of the spherical pendulum has been considered by Halphen in his classical treatise on 'Fonctions Elliptiques'. His proof is based on certain inequalities among the Elliptic-function constant. We prove these inequalities of Halphen and Puiseux, in a simple way, using an interesting identity of S. Ramanujan; besides, we obtain positive-term series for the quantities involved which may enable one to improve such bounds

EFFECT OF UPFC ON SYSTEM PERFORMANCE UNDER NORMAL AND FAULT CONDITION

This paper deals with the effect of Unified Power Flow Controller (UPFC) on the system performance under normal and fault conditions. Simulink models are developed for 7 bus system with and without UPFC. Digital simulation using MATLAB/SIMULINK is done with these models and the results are presented. The effect of UPFC on real power, reactive power and the voltage is also presented

Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms

A unified treatment is given of low-weight modular forms on \Gamma_0(N), N=2,3,4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, which yields a single nonlinear third-order equation, called a generalized Chazy equation. As byproducts, a table of divisor function and theta identities is generated by means of q-expansions, and a transformation law under \Gamma_0(4) for the second complete elliptic integral is derived. More generally, it is shown how Picard-Fuchs equations of triangle subgroups of PSL(2,R) which are hypergeometric equations, yield systems of nonlinear equations for weight-1 forms, and generalized Chazy equations. Each triangle group commensurable with \Gamma(1) is treated.Comment: 40 pages, final version, accepted by Manuscripta Mathematic

Modified Heidelberg technique of pancreatic anastomosis postpancreaticoduodenectomy – 10 years of experience

Context: Pancreatic fistula has forever been a dreaded complication after pancreatic anastomosis (PA). We present a retrospective analysis of 10 years of experience with the Modified Heidelberg technique (MHT) that has been recently described. Aim: The aim of the study is to establish postoperative pancreatic fistula (POPF) rates after MHT. Settings and Design: This is a retrospective observational study carried out at a tertiary cancer center in South India in the Department of Surgical Oncology. Subjects and Methods: Two hundred and eight consecutive patients who underwent pancreaticoduodenectomy (PD) and PA with MHT for a variety of proximal pancreatic lesions from January 2008 to February 2018 were included in this study. The incidence of POPF was recorded by the International Study Group on Pancreatic Fistula 2005 and 2016 definitions. Statistical Analysis Used: Epidemiological and clinical data are expressed in ratios and percentage and presented in table format. Results: Between January 2008 and March 2016, 186 patients underwent PD, and MHT was used for PA. Five (2.7%) patients developed Grade A POPF whereas Grades B and C were seen in three (1.6%) patients each with one death. Between April 2016 and February 2018, 22 patients underwent PD. Two patients (9%) had biochemical leak whereas none of them developed clinically relevant POPF. No deaths were recorded in this period. Overall, Grade B and Grade C POPF rates were 1.4% each, whereas 30-day mortality was 0.4%. Conclusions: Results of this study indicate that MHT is a safe, reliable, easy to learn, and adopt technique of pancreatic reconstruction after PD

Conservation and use of native tropical fruit species biodiversity in Asia: Proceedings of the first annual meeting of Tropical Fruit Genetic Resources Project, 6-9 February 2001, Pattaya, Thailand

These proceedings deal with the deliberations of the first annual meeting of the project organized by IPGRI-APO at Pattaya, Thailand from 6-9 February 2001. The objectives of this meeting were to review the progress and outputs of different activities in the collaborating countries, enhance collaboration with regional and international organizations, provide a platform to country coordinators to mutually interact and update their information, and to develop annual work plans. These activities and concerns were well covered in four technical sessions. The proceedings include highlights of the meeting and a follow-up action, and nine papers on PGR activities on tropical fruits covering status of diversity, collection and conservation strategies, germplasm exchange and use, information and documentation, and network activities on tropical fruits (FAO, UTFANET, TFNet) and prospects of CIRAD's collaboration

Adenylosuccinate Is an Insulin Secretagogue Derived from Glucose-Induced Purine Metabolism

SummaryPancreatic islet failure, involving loss of glucose-stimulated insulin secretion (GSIS) from islet β cells, heralds the onset of type 2 diabetes (T2D). To search for mediators of GSIS, we performed metabolomics profiling of the insulinoma cell line 832/13 and uncovered significant glucose-induced changes in purine pathway intermediates, including a decrease in inosine monophosphate (IMP) and an increase in adenylosuccinate (S-AMP), suggesting a regulatory role for the enzyme that links the two metabolites, adenylosuccinate synthase (ADSS). Inhibition of ADSS or a more proximal enzyme in the S-AMP biosynthesis pathway, adenylosuccinate lyase, lowers S-AMP levels and impairs GSIS. Addition of S-AMP to the interior of patch-clamped human β cells amplifies exocytosis, an effect dependent upon expression of sentrin/SUMO-specific protease 1 (SENP1). S-AMP also overcomes the defect in glucose-induced exocytosis in β cells from a human donor with T2D. S-AMP is, thus, an insulin secretagogue capable of reversing β cell dysfunction in T2D