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On Perron’s Formula and the Prime Numbers

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Advances in Pure mathematics 2024年第6期14卷 487-494页

作者： michael m. anthony Department of Engineering Enertron Inc. Hohenwald Tennessee USA

The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit formula with particular relations involving the trivial and non-trivial roots of the Riemann Zeta function and the Primes. The aim of the paper is to demonstrate this relation at the fixed points of iterations of explicit formula, defined by functions of the form limT∈Ν→∞fT(zw)=zw,where, zwis a real number.

关键词： Perron Fixed Points Iterations Number Theory Riemann Hypothesis Iterations Invariance Primes

Pleiotropic attenuating effect of Ginkgo biloba against isoprenalineinduced myocardial infarction via improving Bcl-2/mTOR/ERK1/2/Na^(+) , K^(+) -ATPase activities

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Chinese Herbal medicines 2024年第2期16卷 282-292页

作者： Jerome Ndudi Asiwe Abodunrin Adebayo Ojetola Nwoke Enekabokom Ekene Esthinsheen Osirim anthony Chibuzor Nnamudi Benjamin Oritsemuelebi Jackson Erozueme Onuelu Nicholas Asiwe Harrison Ogheneochuko Eruotor Saviour Inegbenehi Department of Physiology Delta State UniversityAbraka 1Nigeria Department of Physiology University of IbadanIbadan 3017Nigeria Department of Physiology Adeleke UniversityEde 250Nigeria Department of Pharmacology Rivers State UniversityNkpolu-Oroworukwo 5080Nigeria Department of Physiology Redeemer’s UniversityEde 230Nigeria Department of Biochemistry PAMO University of Medical SciencesPort Harcourt 500211Nigeria Department of Pharmacology Delta State UniversityAbraka 1Nigeria Department of Anatomy University of Port HarcourtChoba 5323Nigeria Department of medical Laboratory Sciences University of Port HarcourtChoba 5323Nigeria

Objective:myocardial infarction(mI)is linked to an imbalance in the supply and demand of blood oxygen in the heart ***-blockers and calcium antagonists are just two of the common medications used to treat ***,these have reportedly been shown to be either ineffective or to have undesirable side *** of Ginkgo biloba leaves(GBE),a Chinese herbal product offers special compatibility benefits in therapeutic settings relating to inflammatory diseases and oxidative *** order to better understand how GBE affects mI in rats insulted by isoprenaline(ISO),the current study was ***:The heart weight index,serum lipid profile,cardiac marker enzymes,endogenous antioxidants[catalase(CAT),superoxide dismutase(SOD),glutathione(GSH),nitrites and malondialdehyde(mDA)],inflammatory mediators[tumour necrosis factor alpha(TNF-a)and interleukin-6(IL-6)],immunohistochemical expressions of B-cell lymphoma factor-2(Bcl-2),extracellular signal-regulated kinase(ERK1/2),and mammalian target of rapamycin(mTOR)and histopathological analysis were used to assess the cardioprotective properties of ***:The findings showed that GBE effectively attenuated myocardial infarction by boosting the body’s natural antioxidant defense system and reducing the release of inflammatory cytokines as well as heart injury marker *** expression of Bcl-2,ERK1/2 and mTOR was increased while the histomorphological alterations were ***:The cardioprotective effects of GBE may be due to a mechanism involving increased Bcl-2/mTOR/ERK1/2/Na^(+),K^(+)-ATPase activity.

关键词： antioxidants extracellular signal-regulated kinase Ginkgo biloba extract isoprenaline mammalian target of rapamycin myocardial infarction Na^(+),K^(+)-ATPase

mapping and Floristic Diversity of the Nakpadjouak Community Forest, Tami Canton, Togo (West Africa)

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Natural Resources 2024年第4期15卷 83-105页

作者： Senyo Kossi Ehlui Christian anthony-Krueger Edinam Kola Wouyo Atakpama Alagie Bah Henrik von Wehrden Tchaa Boukpessi West Africa Science Service Center on Climate Change and Adapted Land Use WASCAL University of the Gambia Banjul Gambia Laboratoire de Recherche sur la Dynamique des milieux et des Socié t&#233s Department of Geography University of Lom&#233 Lome Togo Department of Science Education University of Cape Coast Cape Coast Ghana Laboratoire de Botanique et É cologie V&#233g&#233tale D&#233partement botanique Facult&#233 des sciences Universit&#233 de Lom&#233 Lome Togo West Africa Plant Red List Authority (WAPRLA) IUCN Species Survival Commission Gland Switzerland Center for International Forestry Research and World Agroforestry (CIFOR-ICRAF) Nairobi Kenya Faculty of Sustainability Center of Methods Leuphana University of L&#252neburg L&#252neburg Germany Laboratoire de Recherches Biogé ographiques et d&#8217Etudes Environnementales Department of Geography University of Lome Lome Togo

Since 2015, community forests have been promoted in Togo as an alternative to protect areas from degradation and as a means of contributing to forest landscape restoration. The study focuses on the Nakpadjouak Community Forest (NCF) in Tami (Togo, West Africa) which contributes to community forests sustainable management. It aims in (i) mapping forest ecosystems and analysing their dynamic and (ii) characterizing the floristic diversity of the NCF. The ecosystems were mapped and their dynamic was evaluated based on Google Earth images of 2014 and 2020. Floristic and forestry inventories were carried out using the transect technique in a sample of 20 plots of 50 m × 20 m. The NCF was made up mainly by wooded/shrub savannahs (95.37%) and croplands/fallow (4.63%) in 2014. These two land use types undergone changes over the 6 years prior to 2020. By 2020, the NCF had 3 land use types: wooded/shrub savannahs (77.59%), open forest/wooded savannahs (22.23%), and croplands/fallows (0.18%). A total of 89 plant species belonging to 70 genera and 28 families were recorded within the NCF. The dominant species are: Heteropogon contortus (L.) ***. and Combretum collinum fresen. followed by Pteleopsissuberosa Engl. & Diels, Annona senegalensis Pers. The most common species are: Lannea acida ***. s.l., A. senegalensis, Vitellaria paradoxa *** subsp. paradoxa, C. collinum and Acacia dudgeonii Craib ex Holland. Due to its small area of just 40 hectares and its diverse plant life, this community forest of Savannahs Region is a significant biodiversity hotspot and warrants conservation efforts.

关键词： Community Forest Floristic Diversity Land Use Change Biodiversity Hotspot Tami Savannah Region Togo

Helicobacter pylori:High dose amoxicillin does not improve primary or secondary eradication rates in an Irish cohort

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World Journal of Clinical Cases 2024年第16期12卷 2773-2779页

作者： Conor Costigan Aoife m O'Sullivan Jim O'Connell Shreyashee Sengupta Thomas Butler Stephen molloy Fintan John O'Hara Barbara Ryan Niall Breslin Sarah O'Donnell anthony O'Connor Sinead Smith Deirdre mcNamara Trinity Academic Gastroenterology Group School of Medicine-Trinity College DublinDublin D2Ireland Department of Gastroenterology Tallaght University HospitalDublin D24 NR0AIreland

BACKGROUND Helicobacter pylori(***)eradication rates have fallen globally,likely in large part due to increasing antibiotic resistance to traditional *** areas of high clarithromycin and metronidazole resistance such as ours,maastricht VI guidelines suggest high dose amoxicillin dual therapy(HDADT)can be considered,subject to evidence for local *** this study we assess efficacy of HDADT therapy for *** eradication in an Irish *** To assess the efficacy of HDADT therapy for *** eradication in an Irish cohort as both first line,and subsequent therapy for patients diagnosed with *** All patients testing positive for *** in a tertiary centre were treated prospectively with HDADT(amoxicillin 1 g tid and esomeprazole 40 mg bid×14 d)over a period of 8 *** was confirmed with Urea Breath Test at least 4 wk after cessation of therapy.A delta-over-baseline>4%was considered *** demographics and treatment outcomes were recorded,analysed and controlled for basic demographics and prior *** *** One hundred and ninety-eight patients were identified with *** infection,10 patients were excluded due to penicillin allergy and 38 patients refused follow up *** all 139 were included in the analysis,55%(n=76)were female,mean age was 46.6 ***,93(67%)of patients were treatment-naïve and 46(33%)had received at least one previous course of *** groups were statistically ***-reported compliance with HDADT was 97%,mild side-effects occurred in 7%.There were no serious adverse drug *** the eradication rate for our cohort was 56%(78/139).Eradication rates were worse for those with previous treatment[43%(20/46)vs 62%(58/93),P=0.0458,odds ratio=2.15].Age and Gender had no effect on eradication *** Overall eradication rates with HDADT were *** being a simple and possibly better tolerated regime,these results do not

关键词： Helicobacter pylori eradication Helicobacter pylori High dose amoxicillin High dose amoxicillin dual therapy Triple therapy

Gut microbiota in preterm infants receiving breast milk or mixed feeding

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World Journal of Clinical Pediatrics 2024年第2期13卷 135-145页

作者： Sandra Gabriela Sánchez-González Bárbara Gabriela Cárdenas-del-Castillo Elvira Garza-González Gerardo R Padilla-Rivas Isaías Rodríguez-Balderrama Consuelo Treviño-Garza Fernando Félix montes-Tapia Gerardo C Palacios-Saucedo anthony Gutiérrez-Rodríguez manuel Enrique de-la-O-Cavazos Department of Pediatrics Hospital Universitario“Dr.JoséEleuterio González”Universidad Autónoma de Nuevo LeónMonterrey 64460Nuevo LeónMéxico Departamento de Bioquímica y medicina molecular Universidad Autónoma de Nuevo LeónMonterrey 64460Nuevo LeónMéxico Department of Biochemistry and molecular medicine Universidad Autónoma de Nuevo LeónMonterrey 64460Nuevo LeónMéxico Department of Pediatric Surgery Hospital Universitario"Dr.JoséEleuterio González"Monterrey 64460Nuevo LeónMéxico

BACKGROUND Preterm birth is the leading cause of mortality in newborns,with very-low-birthweight infants usually experiencing several *** milk is considered the gold standard of nutrition,especially for preterm infants with delayed gut colonization,because it contains beneficial microorganisms,such as Lactobacilli and *** To analyze the gut microbiota of breastfed preterm infants with a birth weight of 1500 g or *** An observational study was performed on preterm infants with up to 36.6 wk of gestation and a birth weight of 1500 g or less,born at the University Hospital ***éEleuterio González at monterrey,mexico.A total of 40 preterm neonates were classified into breast milk feeding(Bm)and mixed feeding(mF)groups(21 in the Bm group and 19 in the mF group),from October 2017 to June *** samples were collected before they were introduced to any feeding *** full enteral feeding was achieved,the composition of the gut microbiota was analyzed using 16S rRNA gene *** variables were compared using Student’s t-test or using the mann–Whitney U test for nonparametric ***,evenness,equitability,margalef’s index,Fisher’s alpha,Chao-1 index,and Shannon’s diversity index were also *** No significant differences were observed at the genus level between the *** comparison indicated higher counts of Alphaproteobacteria and Betaproteobacteria in the initial compared to the final sample of the Bm group(Pmmaproteobacteria were detected in the final than in the initial sample(P=0.040).According to the margalef index,Fisher’s alpha,and Chao-1 index,a decrease in species richness from the initial to the final sample,regardless of the feeding type,was observed(Pminant phyla were Bacteroidetes,Actinobacteria,Firmicutes,and Proteobacteria,with Proteobacteria being the most ***,no significant differences were

关键词： Gut microbiota Human milk Preterm infant Proteobacteria Very low birth weight 16S rRNA

Physical properties of sandstone reservoirs: Implication for fluid mobility

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Energy Geoscience 2022年第4期3卷 349-359页

作者： Richardson m.Abraham-A Fabio Taioli anthony I.Nzekwu Institute of Energy and Environment University of Sao Paulo(IEE-USP)Sao PaloBrazil Department of Applied Geophysics Federal University of TechnologyAkure(FUTA)Ondo StateNigeria

Core samples representing depths of hydrocarbon-bearing zones are not readily accessible for reservoir *** the other hand,wireline logs with incorporated seismic data,which can be archived over a more extended period while retaining their original forms,are typically more available for research ***,the study relies on wireline logs with seismic data to predict the reservoirs'fluid mobility by evaluating the hydraulic(flow)units,reservoir depths,fluid saturations,and geothermal *** also indicates the associated water cut(C_(w))within Ritchie oil and gas field,Niger Delta considering a three-phase(oil-gas-water-bearing)reservoir(R_(A))and an oil-saturated reservoir(R_(B))delineated across three wells(R_(W1),R_(W2) and R_(W3)).Research activities combining the presented factors to achieve the stated objectives are not quite common within the study *** shows lower,average and upper limits of the flow unit factors and irreducible water saturation(S_(wirr))within the *** study shows the relationship between hydraulic units/fluid saturations and fluid mobility/associated C_(w) within the sandstone *** maximises porosity(Ф)for the theoretical flow units'prediction during qualitative and quantitative estimation based on the adopted ***,the study reveals that water saturation(S_(w))and hydrocarbon/water ratios substantially control C_(w),and other contributing factors include thermal gradients and S_(wirr).The flow unit factors are also significant and will encourage fluid *** evaluated reservoirs(R_(A) and R_(B))are below 10400 ft(3170 m)across wells R_(W1),R_(W2) and R_(W3) within the Agbada Formation of a geothermal gradient up to 2.7℃/100 m;therefore,they have good thermal conditions to enhance hydrocarbon mobility and increase S ***,the reservoir should feature significant hydrocarbon extraction via primary *** average water cut(C_(w-avg).)(12.3%)estimated for reser

关键词： Water cut Thermal gradient Fluid saturations Hydrocarbon mobility Sandstone reservoir Reservoir quality Agbada Formation Niger Delta

The Relation Between a Tensor and Its Associated Semi-Symmetric Form

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Numerical mathematics(Theory,methods and Applications) 2022年第2期15卷 530-564页

作者： Hassan Bozorgmanesh masoud Hajarian anthony Theodore Chronopoulos Department of Applied mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityTehranIran Department of Computer Science University of TexasSan AntonioTexas 78249USA (Visiting Faculty)Department of Computer Engineering&Informatics University of PatrasRio 26500Greece

It is known that every tensor has an associated semi-symmetric *** purpose of this paper is to investigate the shared properties of a tensor and its semi-symmetric *** particular,a corresponding semi-symmetric tensor has smaller frobenius norm under some conditions and can be used to get smaller bounds for eigenvalues and solutions of dynamical systems and tensor complementarity *** addition,every tensor has the same eigenvalues as its corresponding semi-symmetric form,also a corresponding semi-symmetric tensor inherits properties like being circulant,Toeplitz,Z-tensor,m-tensor,H-tensor and some ***,there are a two-way connection for properties like being positive definite,P-tensor,semi-positive,primitive and several others.

关键词： Tensor eigenvalue semi-symmetric tensor eigenvalue bound logarithmic norm tensor complementarity problem

Time-to-enrollment in clinical trials investigating neurological recovery in chronic spinal cord injury:observations from a systematic review and Clinical *** database

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Neural Regeneration Research 2022年第5期17卷 953-958页

作者： F m moinuddin Yagiz Ugur Yolcu Waseem Wahood Jad Zreik Sandy Goncalves anthony John Windebank Wenchun Qu mohamad Bydon mayo Clinic Neuro-Informatics Laboratory Mayo ClinicRochesterMNUSA Department of Neurologic Surgery Mayo ClinicRochesterMNUSA Dr.Kiran C.Patel College of Allopathic medicine Nova Southeastern UniversityDavieFLUSA Department of Neurology Mayo ClinicRochesterMNUSA Department of Physical medicine&Rehabilitation Mayo ClinicRochesterMNUSA

Currently,large numbers of clinical trials are performed to investigate different forms of experimental therapy for patients suffering from chronic spinal cord injury(SCI).However,for the enrollment process,there are different views on how the time period between injury and interventions should be ***,we sought to evaluate the impact of time-to-enrollment in chronic SCI clinical trials.A data set comprising 957 clinical studies from clinical *** was downloaded and analyzed focusing on the eligibility criteria for post-injury *** also aggregated individual patient data from nine clinical trials of regenerative interventions for chronic SCI selected by a systematic literature search from 1990 to *** of the studies were assessed and compared by dividing into three groups based on time-to-enrollment(group 1≤12 months,group 2=12-23 months and group 3≥24 months).In Clinical *** registry,445 trials were identified for chronic SCI where 87%(385)were unrestricted in the maximum post-injury time for trial *** systematic literature search,nine studies and 156 patients(group 1=30,group 2=55 and group 3=71)were *** range of time-to-enrollment was 0.5 to 321 months in those *** also observed various degrees of motor and sensory improvement in between three time-to-enrollment *** results indicate that enrolling wide ranges of time-to-enrollment in a group may present imprecise *** trial designs should consider appropriate postinjury time frames to evaluate therapeutic benefit.

关键词： chronic clinical trial spinal cord injury systematic review time-to-enrollment

The proteome of distal nerves: implication in delayed repair and poor functional recovery

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Neural Regeneration Research 2022年第9期17卷 1998-2006页

作者： Song Guo Raymond m.moore m.Cristine Charlesworth Kenneth L.Johnson Robert J.Spinner anthony J.Windebank Huan Wang Department of Neurologic Surgery Mayo ClinicRochesterMNUSA Biomedical Statistics and Informatics Mayo ClinicRochesterMNUSA Proteomics Core Mayo ClinicRochesterMNUSA Department of Neurology Mayo ClinicRochesterMNUSA

Chronic denervation is one of the key factors that affect nerve *** axotomy deteriorates the distal nerve stump,causes protein changes,and renders the microenvironment less permissive for *** of these factors/proteins have been individually *** better delineate the comprehensive protein expression profiles and identify proteins that contribute to or are associated with this detrimental effect,we carried out a proteomic analysis of the distal nerve using an established delayed rat sciatic nerve repair *** rats that received immediate repair after sciatic nerve transection served as control,whereas four rats in the experimental group(chronic denervation)had their sciatic nerve repaired after a 12-week *** the rats were sacrificed after 16 weeks to harvest the distal nerves for extracting ***-five micrograms of protein from each sample were fractionated in SDS-PAGE ***-mS/mS analysis was applied to the *** expression levels of nerves on the surgery side were compared to those on the contralateral *** protein with a P value of less than 0.05 and a fold change of 4 or higher was deemed differentially *** the differentially expressed proteins in both groups were further stratified according to the biological processes.A Pubmed search was also conducted to identify the differentially expressed proteins that have been reported to be either beneficial or detrimental to nerve *** Pathway Analysis(IPA)software was used for pathway *** results showed that 709 differentially expressed proteins were identified in the delayed repair group,with a bigger proportion of immune and inflammatory process-related proteins and a smaller proportion of proteins related to axon regeneration and lipid metabolism in comparison to the control group where 478 differentially expressed proteins were *** experimental group also had more beneficial proteins that were d

关键词： chronic axotomy chronic denervation delayed repair distal nerve functional recovery nerve regeneration peripheral nerve prolonged denervation proteome sciatic nerve sciatic nerve transection