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Quaternionic Monge–Ampère Measure on Pluripolar Set

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Acta Mathematica Sinica,English Series 2024年第6期40卷 1431-1457页

作者： Hichame AMAL saïd ASSERDA Fadoua BOUKHARI Department of Mathematics Laboratory LaREAMIRegional Centre of Trades of Education and TrainingKenitraMorocco Ibn Tofail University Faculty of SciencesDepartment of MathematicsPO 242 KenitraMorroco

In this paper, we prove that in a hyperconvex domain Ω in H^(n), if a non-negative Borel measure is dominated by a quaternionic Monge–Ampère measure, then it is a quaternionic Monge–Ampère measure of a function i... 详细信息

关键词： Quaternion space Monge-Amp`ere operator plurisubharmonic function

Corneal regeneration by utilizing collagen based materials

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Science China Chemistry 2016年第12期59卷 1548-1553页

作者： Xuan Zhao Wenjing Song sa Liu Li Ren School of Materials Science and Engineering South China University of Technology National Engineering Research Center for Tissue Restoration and Reconstruction South China University of Technology

Corneal disease is the main cause of blindness and keratoplasty is the only widely accepted treatment. Shortage of donor tissue makes the biomaterials for corneal regeneration a hot area of research. Collagen is the main component of corneal stroma, so collagen becomes a promising material for corneal repair. However, due to the drawbacks of collagen, it needs to be further modified to satisfy the requirement of corneal regeneration. In this article, we highlight the importance of collagen materials for corneal repair, and summarize several methods of preparing collagen based corneal regeneration materials, including chemical crosslinking, plastic compression of collagen, and collagen vitrigel. These modification methods can make collagen membranes with remarkable properties such as enough mechanical and suture retention strength, antibacterial property and excellent optical property. These materials may provide potential treatment for corneal disease.

关键词： cornea regeneration collagen tissue engineering biomaterial

Surface plasmon resonance and field confinement in graphene nanoribbons in a nanocavity

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Frontiers of physics 2021年第4期16卷 221-228页

作者： sa Yang Ren-Long Zhou Yang-Jun Huang School of Physics and Information Engineering Guangdong University of EducationGuangzhou 510303China

In this work,we demonstrate surface plasmon resonance properties and field confinement under a strong interaction between a waveguide and graphene nanoribbons(GNRs),obtained by coupling with a *** optical transmission of a waveguide–cavity–graphene structure is investigated by finite-difference time-domain simulations and coupled-mode *** resonant frequency and intensity of the GNR resonant modes can be precisely controlled by tuning the Fermi energy and carrier mobility of the graphene,***,the refractive index of the cavity core,the susceptibilityχ(3)and the intensity of incident light have little effect on the GNR resonant modes,but have good tunability to the cavity resonant *** cavity length also has good tunability to the resonant mode of cavity.A strong interaction between the GNR resonant modes and the cavity resonant mode appears at a cavity length of L1=350 *** also demonstrate the slow-light effect of this waveguide–cavity–graphene structure and an optical bistability effect in the plasmonic cavity mode by changing the intensity of the incident *** waveguide–cavity–graphene structure can potentially be utilised to enhance optical confinement in graphene nano-integrated circuits for optical processing applications.

关键词： graphene nanoribbon surface plasmon resonance confinement

Single-step nano-engineering of multiple micro-rough metals via anodization

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Nano Research 2023年第1期16卷 1320-1329页

作者： Divya Chopra Tianqi Guo sašo Ivanovski Karan Gulati The University of Queensland School of DentistryHerston QLD 4006Australia

Anodization is a cost-effective technique to nano-engineer various metals,however,optimizations have been mostly restricted to Al and Ti,and for easy to manage polished and flat substrates,limiting industrial ***,we aim at standardizing and simplifying anodization of ten metals,attempting to make metal nano-engineering more *** a world-first attempt,we synthesize a standard electrolyte to fabricate controlled nanostructures on various metals,taking a close look at the influence of the substrate topography,electrolyte composition,and electrolyte aging(repeated use of same electrolyte)towards designing a standard nano-engineering *** of curved substrates(metal wires)with micro-roughness allows for ease of industrial translation across various *** study is a step closer to standardizing anodization and fabrication of controlled nanotopography on various metallic surfaces,while maintaining scalability and ease of use.

关键词： electrochemical anodization nanopores nanotubes metal metal oxide nanostructures

Rapid detection of total phenolics,antioxidant activity and ascorbic acid of dried apples by chemometric algorithms

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Food Bioscience 2022年第3期47卷 662-669页

作者： NecatiÇetin Cevdet sağlam Erciyes University Faculty of AgricultureDepartment of Biosystems EngineeringKayseriTurkey

Multivariate approaches like machine learning are commonly used in estimation of biochemical traits from spectral and color characteristics of foodstuffs and agricultural *** present study,windfall apples of Golden Delicious,Oregon Spur and Granny Smith cultivars were dried in open-sun,controlled greenhouse,microwave oven(200W),hybrid system(100W+60℃),convective dryer(70℃)and freeze-dryer(−55℃).Spectral,chromatic and biochemical characteristics of dried apples were determined and assessed through machine learning *** phenolic matter,DPPH(2,2-Diphenyl-1-picrylhydrazyl),FRAP(Ferric Reducing Antioxidant Power)and ascorbic acid content were estimated with the use of five different machine learning algorithms(artificial neural networks,k-nearest neighbor,random forest,gaussian processes and support vector regression).The most successful results were achieved in estimation of total phenolic content(R≥0.85).Additionally,Multilayer Perceptron,Support Vector Regression and Gaussian Processes were identified as the best machine learning algorithms in estimation of biochemical compositions of dried apples.

关键词： Apple Drying Biochemical composition VIS/NIR spectra Machine learning

Neurologic complications after liver transplantation

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World Journal of Hepatology 2013年第8期5卷 409-416页

作者： saa A Zivkovi Neurology Service - MSL Department of Veterans Affairs Medical Center Department of Neurology University of Pittsburgh School of Medicine

Neurologic complications are relatively common after solid organ transplantation and affect 15%-30%of liver transplant *** is often related to immunosuppressant neurotoxicity and opportunistic *** common complications include seizures and encephalopathy,and occurrence of central pontine myelinolysis is relatively specific for liver transplant *** allograft function may precipitate hepatic encephalopathy and neurotoxicity of calcineurin inhibitors typically manifests with tremor,headaches and *** of neurotoxic immunosuppressants or conversion to an alternative medication usually result in clinical *** preventive and diagnostic protocols have helped to reduce the prevalence of opportunistic central nervous system(CNS)infections,but viral and fungal CNS infections still affect 1%of liver transplant recipients,and the morbidity and mortality in the affected patients remain fairly *** illness myopathy may also affect up to 7%of liver transplant *** insufficiency is also associated with various neurologic disorders which may improve or resolve after successful liver *** diagnosis and timely intervention are essential to improve outcomes,while advances in clinical management and extended post-transplant survival are increasingly shifting the focus to chronic post-transplant complications which are often encountered in a community hospital and an outpatient setting.

关键词： Liver transplantation Neurologic complications Meningoencephalitis Seizures Stroke Critical illness myopathy

Bayesian Computation for the Parameters of a Zero-Inflated Cosine Geometric Distribution with Application to COVID-19 Pandemic Data

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Computer Modeling in Engineering & Sciences 2023年第5期135卷 1229-1254页

作者： Sunisa Junnumtuam sa-Aat Niwitpong Suparat Niwitpong Department ofApplied Statistics Faculty of Applied ScienceKing Mongkut’sUniversity of TechnologyNorth BangkokBangkok10800Thailand

A new three-parameter discrete distribution called the zero-inflated cosine geometric(ZICG)distribution is proposed for the first time *** can be used to analyze over-dispersed count data with excess *** basic statistical properties of the new distribution,such as the moment generating function,mean,and variance are ***,confidence intervals are constructed by using the Wald,Bayesian,and highest posterior density(HPD)methods to estimate the true confidence intervals for the parameters of the ZICG *** efficacies were investigated by using both simulation and real-world data comprising the number of daily COVID-19 positive cases at the Olympic Games in Tokyo *** results show that the HPD interval performed better than the other methods in terms of coverage probability and average length in most cases studied.

关键词： Bayesian analysis confidence interval gibbs sampling random-walk metropolis zero-inflated count data

POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY

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Acta Mathematica Scientia 2012年第2期32卷 672-694页

作者： Smaïl Djebali Ouiza saïfi 闫宝强 Department of Mathematics E.N.S.P.O.Box 9216050 Kouba.AlgiersAlgeria Department of Economics Faculty of Economic and Management SciencesAlgiers UniversityAlgeria Department of Mathematics Shandong Normal University

In this work, we are concerned with the existence and multiplicity of positive solutions for singular boundary value problems on the half-line. Two problems from epi- demiology and combustion theory set on the positive half-line are investigated upper and lower solution techniques combined with fixed point index on cones in priate Banach spaces. The results complement recent ones in the literature. We use appropriate Banach spaces. The results complement recent ones in the literature.

关键词： Fixed points index positive solution singular problem cone lower andupper solution half-line

An Abstract Reachability Approach by Combining HOL Induction and Multiway Decision Graphs

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Journal of Computer Science & Technology 2009年第1期24卷 76-95页

作者： sa'ed Abed Otmane Ait Mohamed Ghiath Al-sammane ECE Department Concordia UniversityMontrealCanada

In this paper, we provide a necessary infrastructure to define an abstract state exploration in the HOL theorem prover. Our infrastructure is based on a deep embedding of the Multiway Decision Graphs （MDGs） theory in HOL. MDGs generalize Reduced Ordered Binary Decision Diagrams （ROBDDs） to represent and manipulate a subset of first-order logic formulae. The MDGs embedding is based on the logical formulation of an MDG as Directed Formulae （DF）. Then, the MDGs operations are defined and the correctness proof of each operation is provided. The MDG teachability algorithm is then defined as a conversion that uses our MDG theory within HOL. Finally, a set of experimentations over benchmark circuits has been conducted to ensure the applicability and to measure the performance of our approach.

关键词： HOL theorem prover multiway decision graphs correctness reachability analysis