Approximate solution of two-dimensional Volterra integral equation by Chebyshev polynomial method and Adomian decomposition method

In this paper we investigate the numerical solution of two dimensional Volterra integral equations by two different methods, Chebyshev polynomial and Adomian decomposion method. Two numerical examples are given to illustrate the methods. Acomparison between the two methods is given. keywords: Chebyshev polynomials , Adomian decomposion method , two dimensional integral equations , collocation points

Lactate and its many faces

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B-lymphocytes signalling abnormalities and lupus immunopathology

International audienc

Living donor kidney transplantation in the hemodialysis-naive and the hemodialysis-exposed: A short term prospective comparative study

Introduction: Preemptive (P) living donor kidney transplantation (LDKT) provides better survival rates, quality of life and economic saving. However, the extent of these advantages over those with a short period of pre-LDKT dialysis is not known. Objectives: Evaluation of the patients’ characteristics and short-term outcomes of PLDKT and LDKT after a pre-transplant period of hemodialysis (HD) not >6 months. Patient and methods: This study was conducted between June 2010 and June 2012 and included two groups. Group-I included recipients without HD before operation. Group-II included those who had a period of HD ≤6 months. Recipients and donors were evaluated according to the classic work up. Follow-up for 12 months was scheduled. Results: Group-I included 30 recipients and group-II included 15 recipients. Demographic and clinical characteristics were similar except for mean recipient age (44 versus 34.3 years; p = 0.024), recipient donor age difference (p = 0.03), job categories (p = 0.047) and ABO distribution (p = 0.01). Cumulative graft (0.88 versus 0.93) and recipient (0.92 versus 0.100) survival rates were non-significantly different. Graft function and mean serum creatinine level were within normal up to 12 months. Acute graft rejection (AGR) was significantly higher in group-II (16.7% versus 46.7%; p = 0.03). However, lymphoceles were significantly more common in group-I (40% versus 6.7%; p = 0.02). There was no delayed graft function (DGF), major urinary or vascular complications. Conclusion: PLDKT has a lower rate of AGR. Despite it has a higher rate of lymphoceles, it saves the patient the morbidities of vascular access and inconveniences of HD. Hence, PLDKT is recommended as the first choice for each KT-candidate

Hybrid Low-Dimensional Carbon Allotropes Formed in Gas Phase

Graphene, carbon nanotubes (CNTs) and fullerenes are the basic set of low-dimensional carbon allotropes. The latter two arise from the former by selective removal and addition of carbon atoms. Nevertheless, given their morphological disparities, the production of each is typically devised from entirely different starting points. Here, it is demonstrated that all three allotropes can nucleate from (pseudo-)spherical, nanometer-sized transition metal clusters in a gas-suspension when the chemical conditions are favorable. The experimental results indicate that graphitic carbon embryos nucleate on the catalyst particles and sometimes transform into 2D graphene flakes through chain polymerization of carbon fragments forming in the surround gas atmosphere. It is further shown that hydrogenation reactions play an essential role by stabilizing the emerging flakes by mitigating the pentagon and heptagon defects that lead into evolution of fulleroids. Ab initio molecular dynamics simulations show that the ratio of hydrogen to carbon in the reaction is a key growth parameter. Since structural formation takes place in a gas-suspension, graphene accompanied by fullerenes and single-walled CNTs can be deposited on any surface at ambient temperature with arbitrary layer thicknesses. This provides a direct route for the production and deposition of graphene-based hybrid thin films for various applications.Peer reviewe