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High Order of Accuracy for Poisson Equation Obtained by Grouping of Repeated Richardson Extrapolation with Fourth Order Schemes

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Computer Modeling in Engineering & Sciences 2021年第8期128卷 699-715页

作者： Luciano Pereira da Silva Bruno Benato Rutyna aline roberta santos righi Marcio Augusto Villela Pinto Graduate Program in Numerical Methods in Engineering Federal University of ParanaCuritiba81531-980Brazil Graduate Program in Space Sciences and Technologies Aeronautics Institute of TechnologySao Jose dos Campos12228-900Brazil Department of Mechanical Engineering Federal University of ParanaCuritiba81531-980Brazil

In this article,we improve the order of precision of the two-dimensional Poisson equation by combining extrapolation techniques with high order *** high order solutions obtained traditionally generate non-sparse matrices and the calculation time is very *** can obtain sparse matrices by applying compact *** this article,we compare compact and exponential finite difference schemes of fourth *** numerical solutions are calculated in quadruple precision(Real*16 or extended precision)in FORTRAN language,and iteratively obtained until reaching the round-off error magnitude around 1.0E−*** procedure is performed to ensure that there is no iteration *** Repeated Richardson Extrapolation(RRE)method combines numerical solutions in different grids,determining higher orders of *** main contribution of this work is based on a process that initializes with fourth order solutions combining with RRE in order to find solutions of sixth,eighth,and tenth order of *** multigrid Full Approximation Scheme(FAS)is also applied to accelerate the convergence and obtain the numerical solutions on the fine grids.

关键词： Tenth order accuracy RRE compact scheme exponential scheme multigrid finite difference

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Metabolomics in chronic hepatitis C:Decoding fibrosis grading and underlying pathways

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World Journal of Hepatology 2023年第11期15卷 1237-1249页

作者： Adriana Camargo Ferrasi Samara Vitória Granja Lima aline Faria Galvani Jeany Delafiori Flavia Luísa Dias-Audibert Rodrigo Ramos Catharino Giovanni Faria Silva roberta Rodrigues Praxedes Driele Bretones santos Dayane Trevisan de Macedo Almeida Estela Oliveira Lima Department of Internal Medicine Sao Paulo State UniversityBotucatu 18618-686Brazil Innovare Biomarkers Laboratory University of CampinasCampinas 13083-877Brazil

BACKGROUND Chronic Hepatitis C(CHC)affects 71 million people globally and leads to liver issues such as fibrosis,cirrhosis,cancer,and death.A better understanding and prognosis of liver involvement are vital to reduce morbidity and *** accurate identification of the fibrosis stage is crucial for making treatment decisions and predicting *** used to grade fibrosis include histological analysis and imaging but have *** markers such as molecular biomarkers can offer valuable insights into *** To identify potential biomarkers that might stratify these lesions and add information about the molecular mechanisms involved in the *** Plasma samples were collected from 46 patients with hepatitis C and classified into fibrosis grades F1(n=13),F2(n=12),F3(n=6),and F4(n=15).To ensure that the identified biomarkers were exclusive to liver lesions(CHC fibrosis),healthy volunteer participants(n=50)were also *** untargeted metabolomic technique was used to analyze the plasma metabolites using mass spectrometry and database *** analyses were performed to identify differential biomarkers among *** Six differential metabolites were identified in each grade of *** six-metabolite profile was able to establish a clustering tendency in patients with the same grade of fibrosis;thus,they showed greater efficiency in discriminating *** This study suggests that some of the observed biomarkers,once validated,have the potential to be applied as prognostic ***,it suggests that liquid biopsy analyses of plasma metabolites are a good source of molecular biomarkers capable of stratifying patients with CHC according to fibrosis grade.

关键词： Chronic Hepatitis C Fibrosis Metabolome Biomarkers Plasma Liquid biopsy

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Topographical Analysis of Frontal Lobe Executive Functions in Patients Following a Stroke

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World Journal of Neuroscience 2016年第2期6卷 143-150页

作者： roberta Márcia Torres Kristiana Cerqueira Mousinho Liércio Pinheiro Nathália Costa Toledo Pacheco Piatti Taise Almeida Cavalcante aline da Silva Amorim Ana Karolina Barros de Jesus Maria Wylianna Oliveira dos santos Euclides Maurício Trindade Filho University Center CESMAC Maceió Brazil

Objective: This study aimed to carry out a topographical analysis of frontal lobe executive function components in post-stroke patients. Methods: A descriptive, cross-sectional study. The assessment using the WCST (Wisconsin Card Sorting Test) included sixteen patients with a clinical diagnosis of CVA and frontal lobe impairment. Results from the two groups were compared (patients with right frontal lobe impairment and patients with left frontal lobe impairment). Statistical analysis was performed using the program “Statistical Package for Social Sciences” (SPSS) Version 20.0. For comparison between groups was used Mann-Whitney test and considered the alpha level of 0.05 on the statistically significant results. Results: There was no statistically significant difference between the groups, thus showing that executive functions are symmetrically distributed across the frontal lobes. Conclusion: Executive functions are symmetrically organized across the two frontal lobes, since the comparison between the groups did not demonstrate a statistically significant difference for any of the variables of WSCT.

关键词： Executive Function Stroke Frontal Lobe Neuropsychology

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