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Nodal Solutions with a Prescribed Number of Nodes for Quasilinear Schr?dinger Equations with a Cubic Term

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Journal of Mathematical Research with Applications 2024年第5期 681-696页

作者： Jing lai Na LIU Tao WANG College of Mathematics and Computing Science Hunan University of Science and Technology

This paper is concerned with the existence of nodal solutions for the following quasilinear Schr?dinger equation with a cubic term ■ where N ≥ 3, λ > 0, the function V（|x|） is a radially symmetric and positive potential. By using the variational method and energy comparison method, for any given integer k ≥ 1, the above equation admits a radial nodal solution Uk,4λhaving exactly k nodes via a limit ***, the energy of Uk,4λis monotonically increasing in k and for any sequence {λ_n}, up to a subsequence,■ converges strongly to some ■ as λ_n→+∞, which is a radial nodal solution with exactly k nodes of the classical Schr¨dinger equation ■ Our results extend the existing ones in the literature from the super-cubic case to the cubic case.

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Retinal vein occlusion coinciding with paracentral acute middle maculopathy in patient with menorrhagia causing life-threatening anemia

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International Journal of Ophthalmology(English edition) 2024年第9期17卷 1760-1762页

作者： Wen-Yun Lin Jin-Jhe Wang Chien-Hsiung lai School of Medicine College of MedicineChang Gung UniversityTaoyuan 33302TaiwanChina Department of Ophthalmology Chang Gung Memorial HospitalChiayi 61363TaiwanChina Department of Nursing Chang Gung University of Science and TechnologyChiayi 61363TaiwanChina School of Traditional Chinese Medicine College of MedicineChang Gung UniversityTaoyuan 33302TaiwanChina

Dear Editor,We present two cases of retinal vein occlusion,one central retinal vein occlusion(CRVO)and one branch retinal vein occlusion(BRVO)respectively,coinciding with paracentral acute middle maculopathy(PAMM)on optical coherence tomography(OCT)in patients with menorrhagia causing life-threatening *** is considered a manifestation of acute ischemia affecting the deep macular capillary plexus.

关键词： anemia occlusion acute

Prognostic Nutritional Index Associates with the Severity of Silicosis:A Study from a Tertiary Class A Prevention and Treatment Institute for Occupational Diseases in China

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Biomedical and Environmental Sciences 2024年第1期37卷 122-126页

作者： HE La Gu LIANG Yun lai YANG Lu Qi YUAN Hua Min Medical laboratory Department Hunan Prevention and Treatment Institute for Occupational DiseasesChangsha 410000HunanChina Laboratory Medicine Department Xiangya HospitalCentral South UniversityChangsha 410013HunanChina

Pneumoconiosis is a group of heterogeneous fibrotic lung diseases caused by inorganic mineral dust and includes coal workers’pneumoconiosis and *** involves diffuse or nodular interstitial pulmonary fibrosis caused by exposure to asbestos or silica *** is thought to have the highest number of silicosis cases,with 6,000 new cases reported annually^([1]).Currently,the clinical diagnosis and monitoring of silicosis relies mainly on a history of occupational exposure and radiological abnormalities^([2]).Therefore,determining further indicators is crucial to reflect the severity of silicosis.

关键词： diagnosis lung diseases

Thioacetamide Additive Homogenizing Zn Deposition Revealed by In Situ Digital Holography for Advanced Zn Ion Batteries

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Nano-Micro Letters 2024年第6期16卷 261-275页

作者： kaixin Ren Min Li Qinghong Wang Baohua Liu Chuang Sun Boyu Yuan Chao lai Lifang Jiao Chao Wang School of Chemistry and Materials Science Jiangsu Normal UniversityXuzhou 221116JiangsuPeople’s Republic of China Jiangsu key Laboratory of Advanced Laser Materials and Devices School ofPhysics and Electronic EngineeringJiangsu Normal UniversityXuzhou 221116JiangsuPeople’s Republic of China key Laboratory of Advanced Energy Materials Chemistry(Ministry of Education) Nankai University300071 TianjinPeople’s Republic of China

Zinc ion batteries are considered as potential energy storage devices due to their advantages of low-cost,high-safety,and high theoretical ***,dendrite growth and chemical corrosion occurring on Zn anode limit their *** problems can be tackled through the optimization of the ***,the screening of electrolyte additives using normal electrochemical methods is time-consuming and ***,a fast and simple method based on the digital holography is *** can realize the in situ monitoring of electrode/electrolyte interface and provide direct information concerning ion concentration evolution of the diffusion *** is effective and time-saving in estimating the homogeneity of the deposition layer and predicting the tendency of dendrite growth,thus able to value the applicability of electrolyte *** feasibility of this method is further validated by the forecast and evaluation of thioacetamide *** on systematic characterization,it is proved that the introduction of thioacetamide can not only regulate the interficial ion flux to induce dendrite-free Zn deposition,but also construct adsorption molecule layers to inhibit side reactions of Zn *** easy to operate,capable of in situ observation,and able to endure harsh conditions,digital holography method will be a promising approach for the interfacial investigation of other battery systems.

关键词： Digital holographic microscopy In situ observation Electrode/electrolyte interface Zn dendrites Screening electrolyte additives

Random Terpolymer Based on Simple Siloxane-functionalized Thiophene Unit Enabling High-performance Non-fullerene Organic Solar Cells

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Chinese Journal of Polymer Science 2024年第3期42卷 311-321,I0006页

作者： Fuliang Cheng Shiting lai Yihan Zhang Ling Xue Xinxin Xia Peipei Zhu Xinhui Lu Xunfan Liao Yiwang Chen National Engineering Research Center for Carbohydrate Synthesis/key Laboratory of Fluorine and Silicon for Energy Materials and Chemistry of Ministry of Education College of Chemistry and Chemical EngineeringJiangxi Normal UniversityNanchang 330022China Department of Physics Chinese University of Hong Kong New TerritoriesHong Kong 999077China Institute of Polymers and Energy Chemistry(IPEC)/Jiangxi Provincial key Laboratory of New Energy Chemistry Nanchang UniversityNanchang 330031China

Incorporation of siloxane-functionalized units into polymers backbone has proven to be an efficient strategy to improve photovoltaic performance. In this work, a low-cost siloxane-containing unit was developed to construct a series of terpolymers, and the effects of siloxane on the polymer performance were systematically studied. Different contents of thiophene containing siloxane-functionalized side chain were introduced into PM6 to obtain a series of polymers(PM6, PM6-SiO-10, PM6-SiO-20 and PM6-SiO-30). The siloxane-functionalized side chains in polymers have only a slight effect on the absorption behavior and frontier molecular orbitals. However, when the siloxane content increased, the terpolymers' aggregation property decreased and the temperature-dependency increased, leading to improved donor-acceptor compatibility. The power conversion efficiency(PCE) based on PM6:Y6, PM6-SiO-20:Y6 and PM6-SiO-30:Y6 devices was 15.64%, 16.03% and 15.82%, respectively. In comparison, the active layer based on PM6-SiO-10:Y6 exhibits the most appropriate phase separation morphology, resulting in effective exciton dissociation, more balanced hole-electron transport and less recombination. Consequently, the highest PCE of 16.69% with an outstanding shortcircuit current density of 26.96 mA·cm^(-2) was obtained, which are one of the highest values for siloxane-functionalized polymer-based *** work demonstrates that finely controlling the content of siloxane-functionalized thiophene is beneficial for obtaining high-performance terpolymer donors and provides a novel and low-cost method to improve photovoltaic performance.

关键词： Organic solar cells Terpolymers Siloxane-functionalized unit Low-cost Morphology

NaGd_(0.4)Eu_(0.6)Mg_(1-x)Zn_(x)WO_(6)solid solution red phosphors:Microstructure variation and luminescence enhancement induced by Zn^(2+)-doping

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Journal of Rare Earths 2024年第7期42卷 1224-1232,I0001页

作者： Yu Gao Jiayang Liao Mingyi Zhang Qingmei Tang Ting Zhou Mengjiao Liu Yan Zhao Xin lai Daojiang Gao College of Chemistry and Materials Science Sichuan Normal UniversityChengdu610066China

Red phosphor is an important component of the phosphor-converted white light-emitting diodes(pcWLEDs).The development of the novel red phosphor with excellent luminescence properties is of great significance for high performance *** this study,NaGd_(0.4)Eu_(0.6)Mg_(1-x)Zn_(x)WO_(6)red phosphors with excellent luminescence properties were successfully synthesized and systematically *** results show that the Zn^(2+)-doping concentration has significant effect on the microstructures and luminescence properties of the NaGd_(0.4)Eu_(0.6)Mg_(1-x)Zn_(x)WO_(6)*** NaGd_(0.4)Eu_(0.6)Mg_(1-x)ZnxWO_(6)(0≤x≤0.7)samples are well crystallized pure solid solution sub-microcrystals,whereas the phase purity gradually decreases at 0.7kaged WLED using NaGd_(0.4)Eu_(0.6)Mg_(0.9)Zn_(0.1)WO_(6)phosphor emits bright white light with higher CRI,lower CCT,and chromaticity coordinate close to the pure white *** developed NaGd_(0.4)Eu_(0.6)Mg_(1-x)Zn_(x)WO_(6)phosphors have potential application in lighting and *** work can offer an effective strategy for boosting luminescence properties of tungstate phosphors with the double perovskite structure.

关键词： Double perovskite Tungstate phosphor Zn^(2+)-doping Microstructure Luminescence Rare earths

The mid-domain effect in flowering phenology

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Plant Diversity 2024年第4期46卷 502-509页

作者： Yanjun Du Rongchen Zhang Xinran Tang Xinyang Wang Lingfeng Mao Guoke Chen Jiangshan lai keping Ma School of Tropical Agriculture and Forestry(School of Agricultural and Rural Affairs School of Rural Revitalization)Hainan UniversityHaikou 570228China HNU-ASU Joint International Tourism College Hainan UniversityHaikou 570228China School of Ecological and Environmental Sciences East China Normal UniversityShanghai 200062China College of Ecology and Environment Nanjing Forestry UniversityNanjing 210037China State key Laboratory of Vegetation and Environmental Change Institute of BotanyChinese Academy of SciencesBeijing 100093China

The timing of flowering is an important driver of species distribution and community assembly ***,we still have much to learn about the factors that shape flowering diversity(i.e.,number of species flowering per period) in plant *** potential explanation of flowering diversity is the mid-domain effect,which states that geometric constraints on species ranges within a bounded domain(space or time) will yield a mid-domain peak in diversity regardless of ecological ***,we determine whether the mid-domain effect explains peak flowering time(i.e.,when most species of communities are flowering) across *** used phenological data of 16,267 herbaceous and woody species from the provincial Flora in China and species distribution data from the Chinese Vascular Plant Distribution Database to determine relationships between the observed number of species flowering and the number of species flowering as predicted by the mid-domain effect model,as well as between three climatic variables(mean minimum monthly temperature,mean monthly precipitation,and mean monthly sunshine duration).We found that the mid-domain effect explained a significant proportion of the temporal variation in flowering diversity across all species in ***,the mid-domain effect explained a greater proportion of variance in flowering diversity at higher latitudes than at lower *** patterns of flowering diversity for both herbaceous and woody species were related to both the mid-domain effect and environmental *** findings indicate that including geometric constraints in conjunction with abiotic and biotic predictors will improve predictions of flowering diversity patterns.

关键词： Flowering diversity Functional biogeography Latitudinal gradient Macroecology Macrophenology Null model

Multiscale and Auto-Tuned Semi-Supervised Deep Subspace Clustering and Its Application in Brain Tumor Clustering

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Computers, Materials & Continua 2024年第6期79卷 4741-4762页

作者： Zhenyu Qian Yizhang Jiang Zhou Hong Lijun Huang Fengda Li khin Wee lai kaijian Xia School of Artificial Intelligence and Computer Science Jiangnan UniversityWuxi214122China Department of Medical Imaging The Changshu Affiliated Hospital of Soochow UniversitySuzhou215500China Department of Neurosurgery The Changshu Affiliated Hospital of Soochow UniversityChangshu215500China Department of Scientific Research The Changshu Affiliated Hospital of Soochow UniversitySuzhou215500China Changshu key Laboratory of Medical Artificial Intelligence and Big Data Suzhou215500China Department of Biomedical Engineering Faculty of EngineeringUniversity of MalayaKuala Lumpur50603Malaysia

In this paper,we introduce a novel Multi-scale and Auto-tuned Semi-supervised Deep Subspace Clustering(MAS-DSC)algorithm,aimed at addressing the challenges of deep subspace clustering in high-dimensional real-world data,particularly in the field of medical *** deep subspace clustering algorithms,which are mostly unsupervised,are limited in their ability to effectively utilize the inherent prior knowledge in medical *** MAS-DSC algorithm incorporates a semi-supervised learning framework that uses a small amount of labeled data to guide the clustering process,thereby enhancing the discriminative power of the feature ***,the multi-scale feature extraction mechanism is designed to adapt to the complexity of medical imaging data,resulting in more accurate clustering *** address the difficulty of hyperparameter selection in deep subspace clustering,this paper employs a Bayesian optimization algorithm for adaptive tuning of hyperparameters related to subspace clustering,prior knowledge constraints,and model loss *** experiments on standard clustering datasets,including ORL,Coil20,and Coil100,validate the effectiveness of the MAS-DSC *** results show that with its multi-scale network structure and Bayesian hyperparameter optimization,MAS-DSC achieves excellent clustering results on these ***,tests on a brain tumor dataset demonstrate the robustness of the algorithm and its ability to leverage prior knowledge for efficient feature extraction and enhanced clustering performance within a semi-supervised learning framework.

关键词： Deep subspace clustering multiscale network structure automatic hyperparameter tuning semi-supervised medical image clustering

Emodin suppresses alkali burn-induced corneal inflammation and neovascularization by the vascular endothelial growth factor receptor 2 signaling pathway

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Journal of Traditional Chinese Medicine 2024年第2期44卷 268-276页

作者： ZHENG Xueying GUO Liang lai Siyi LI Fengyue LIANG Mingli LIU Wanting MENG Chun LIU Guanghui Department of Bioengineering College of Biological Science and BiotechnologyFuzhou UniversityFuzhou 350104China Eye Institute of Integrated Chinese and Western Medicine Fujian University of Traditional Chinese MedicineFuzhou 350004China Department of Ophthalmology Affiliated People's Hospital(Fujian Provincial People's Hospital)Fujian University of Traditional Chinese MedicineFuzhou 350004China

OBJECTIVE:To investigate the effects of emodin on alkali burn-induced corneal inflammation and ***:The ability of emodin to target vascular endothelial growth factor receptor 2(VEGFR2)was predicted by molecular *** effects of emodin on the invasion,migration,and proliferation of human umbilical vein endothelial cells(HUVEC)were determined by cell counting kit-8,Transwell,and tube formation *** of apoptosis was performed by flow ***31 levels were examined by *** abundance and phosphorylation state of VEGFR2,protein kinase B(Akt),signal transducer and activator of transcription 3(STAT3),and P38 were examined by immunoblot *** alkali burn was performed on 40 *** were divided randomly into two groups,and the alkali-burned eyes were then treated with drops of either 10μM emodin or phosphate buffered saline(PBS)four times a *** microscopy was used to evaluate inflammation and corneal neovascularization(CNV)in all eyes on Days 0,7,10,and *** mice were killed humanely 14 d after the alkali burn,and their corneas were removed and preserved at-80℃ until histological study or protein ***:Molecular docking confirmed that emodin was able to target *** findings revealed that emodin decreased the invasion,migration,angiogenesis,and proliferation of HUVEC in a dose-dependent *** mice,emodin suppressed corneal inflammatory cell infiltration and inhibited the development of corneal neovascularization induced by alkali *** to those of the PBS-treated group,lower VEGFR2 expression and CD31 levels were found in the emodintreated *** dramatically decreased the expression of VEGFR2,p-VEGFR2,p-Akt,p-STAT3,and p-P38 in VEGF-treated ***:This study provides a new avenue for evaluating the molecular mechanisms underlying corneal inflammation and *** might be a promising new therapeutic option for corneal alkal

关键词： alkali burn emodin corneal inflammation corneal neovascularisation vascular endothelial growth factor receptor-2 signal transduction