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FREDHOLM MAPPINGS AND BANACH MANIFOLDS
Arbizu, Jose Mara Soriano Korean Mathematical Society 2009 대한수학회지 Vol.46 No.3
Two $C^1$-mappings, whose domain is a connected compact $C^1$-Banach manifold modelled over a Banach space X over $\mathbb{K}=\mathbb{R}$ or $\mathbb{C}$ and whose range is a Banach space Y over $\mathbb{K}$, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive.
Arbizu, Ricardo A.,Collins, David,Wilson, Robert C.,Alekseyenko, Alexander V. The Korean Society of Pediatric Gastroenterology 2021 Pediatric gastroenterology, hepatology & nutrition Vol.24 No.1
Purpose: To investigate the differences in the colon microbiota composition of Hirschsprung's disease (HSCR) patients with and without a history of postoperative Hirschsprung's associated enterocolitis (HAEC). Methods: Colon tissue microbiota was characterized by bacterial deoxyribonucleic acid (DNA) extraction and 16S rDNA sequencing for taxonomic classification and comparison. Results: The sequence diversity richness within samples was significantly higher in samples from patients with a history of postoperative HAEC. We observed an increased relative abundance of the phyla Bacteroidetes, Firmicutes and Cyanobacteria in HAEC patients and Fusobacteria, Actinobacteria and Proteobacteria in HSCR patients and, an increased relative abundance of the genera Dolosigranulum, Roseouria and Streptococcus in HAEC patients and Propionibacterium and Delftia in HSCR patients. Conclusion: Our findings provide evidence that the colon tissue microbiota composition is different in HSCR patients with and without postoperative HAEC.
A FREDHOLM MAPPING OF INDEX ZERO
Arbizu, Jose M. Soriano Korean Mathematical Society 2008 대한수학회지 Vol.45 No.2
Sufficient conditions are given to assert that between any two Banach spaces over $\mathbb{K}$ Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
Antibacterial effect of biodegradable gelatin methacryloyl loaded with ginger rhizome extract
Regina Guadalupe Arbizú-Trigueros,김서영,김유경,장용석,최애진,배태성,이민호 대한치과재료학회 2022 대한치과재료학회지 Vol.49 No.4
Gelatin methacryloyl 3d mesh mimics the natural extracellular matrix which allow loading as promising drug delivery systems. However, insufficient mechanical and degradation properties remain the biggest obstacle for this material application. In thisstudy, a modified hydrogel with natural phytochemical was developed to improve the antibacterial effect by the additionof ginger extract, a natural spicy used in traditional medicine. GelMA hydrogels with ginger extract were fabricated and theirchemical and morphological characteristics were analyzed by Fourier transformer infrared spectroscopy and scanning electronmicroscopy, structural characteristic were evaluated by compressive test and surface wettability analysis. S. mutans, S. aureusand P. gingivalis were used to confirm the antibacterial effect of the modified hydrogels. The FT-IR spectra of the hydrogelsmodified with ginger presented an increase in intensity of some peaks in comparison with the 10% GelMA hydrogel. Thepores of ginger-modified hydrogels decreased it size which affected the hydrogels physical properties, decreasing the compressivemodulus and increasing the durability, swelling ratio and, hydrophobicity of the surface. The ginger-modified hydrogels exhibitedexcellent antibacterial properties against S. mutans and S. aureus at high concentrations of ginger extract, while P. gingivalispresented a higher sensitivity at all tested concentrations. Hence, this study concludes that ginger-modified GelMA hydrogelspresented better antibacterial effect, durability over time and, swelling stability.
Fredholm mappings and Banach manifolds
José María Soriano Arbizu 대한수학회 2009 대한수학회지 Vol.46 No.3
Two C^{1}-mappings, whose domain is a connected compact C^{1}-Banach manifold modelled over a Banach space X over K= R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive. Two C^{1}-mappings, whose domain is a connected compact C^{1}-Banach manifold modelled over a Banach space X over K= R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive.
A Fredholm mapping of index zero
Jose M. Soriano Arbizu 대한수학회 2008 대한수학회지 Vol.45 No.2
Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods. Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
Shahein, Abdul R.,Quiros, J. Antonio,Arbizu, Ricardo A.,Jump, Candi,Lauzon, Steven D.,Baker, Susan S. The Korean Society of Pediatric Gastroenterology 2020 Pediatric gastroenterology, hepatology & nutrition Vol.23 No.4
Purpose: There have been many efforts to develop generalizable severity markers in children with acute pancreatitis (AP). Expert opinion panels have developed consensus guidelines on management but it is unclear if these are sufficient or valid. Our study aims to assess the effect of clinical and laboratory variables, in addition to treatment modality on hospital length of stay (LOS) as a proxy variable for severity in pediatric patients admitted with AP. Methods: We conducted a retrospective chart review of patients between ages of 0-18 years, who were admitted with AP at 2 institutions between 2013-2018, John R. Oishei Children's Hospital (Buffalo, NY, USA) and Medical University of South Carolina Children's Hospital (Charleston, SC, USA). We constructed three linear regression models to analyze the effect of clinical signs of organ dysfunction, laboratory markers and fluid intake on hospital LOS. Results: Ninety-two patients were included in the study. The mean age was 12 years (range, 7.6-17.4 years), 55% were females, and median LOS was 3 days. The most frequent cause of AP was idiopathic. Our study showed that elevated blood urea nitrogen (BUN) on admission (p<0.005), tachycardia that lasted for ≥48 hours (p<0.001) and need for fluid resuscitation were associated with increase LOS. Total daily fluid intake above maintenance did not have a significant effect on the primary outcome (p=0.49). Conclusion: Elevated serum BUN on admission, persistent tachycardia and need for fluid resuscitation were associated with increase LOS in pediatric AP. Daily total fluid intake above recommended maintenance did not reduce LOS.