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Two Theorems on Volume and Dihedral Angles of a n-dimensional Simplex
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作者 杨世国 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第2期87-93,共7页
In this gape, we obtain thorem I on volum of a n-dirmensional simplex and theorem 2 on dihedral angies of a simplex. Besides. We obtain Vasic inequality in E^n and its extension. The resultsin this paper contain and i... In this gape, we obtain thorem I on volum of a n-dirmensional simplex and theorem 2 on dihedral angies of a simplex. Besides. We obtain Vasic inequality in E^n and its extension. The resultsin this paper contain and improve the results in paper [1], [2], [3], [4]. 展开更多
关键词 simplex dihedral angle volume.
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一种基于改进Simplex噪声的虚拟地形生成方法
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作者 沈博 张健钦 +1 位作者 马帅豹 文政 《系统仿真学报》 北大核心 2025年第10期2605-2612,共8页
针对传统虚拟地形生成方法存在的计算复杂度高、生成速度慢、真实感不足等问题,提出了一种基于改进Simplex噪声的虚拟地形生成方法。利用Simplex噪声计算效率高、硬件开销低、随机性更自然等优势,构建基础地形模板;引入分形算法,通过多... 针对传统虚拟地形生成方法存在的计算复杂度高、生成速度慢、真实感不足等问题,提出了一种基于改进Simplex噪声的虚拟地形生成方法。利用Simplex噪声计算效率高、硬件开销低、随机性更自然等优势,构建基础地形模板;引入分形算法,通过多频率、多振幅的噪声叠加增强地形细节层次;结合湍流算法,增加随机扰动和复杂性,从而进一步提高地形的自然感和多样性。仿真结果表明:该方法在地形生成效率、真实感,以及多样性方面均优于传统生成方法。 展开更多
关键词 虚拟地形 simplex噪声 分形算法 湍流算法 改进simplex
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Interleukin 1βreceptor and synaptic dysfunction in recurrent brain infection with Herpes simplex virus type-1
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作者 Roberto Piacentini Claudio Grassi 《Neural Regeneration Research》 SCIE CAS 2025年第2期416-423,共8页
Several experimental evidence suggests a link between brain Herpes simplex virus type-1 infection and the occurrence of Alzheimer’s disease.However,the molecular mechanisms underlying this association are not complet... Several experimental evidence suggests a link between brain Herpes simplex virus type-1 infection and the occurrence of Alzheimer’s disease.However,the molecular mechanisms underlying this association are not completely understood.Among the molecular mediators of synaptic and cognitive dysfunction occurring after Herpes simplex virus type-1 infection and reactivation in the brain neuroinflammatory cytokines seem to occupy a central role.Here,we specifically reviewed literature reports dealing with the impact of neuroinflammation on synaptic dysfunction observed after recurrent Herpes simplex virus type-1 reactivation in the brain,highlighting the role of interleukins and,in particular,interleukin 1βas a possible target against Herpes simplex virus type-1-induced neuronal dysfunctions. 展开更多
关键词 herpes simplex virus type 1 interleukin MICROGLIA NEUROINFLAMMATION synaptic dysfunction
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Herpes simplex virus 2-induced aseptic meningitis presenting with sudden deafness:A case report
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作者 Yuan-Cheng Liu Shih-Hsuan Hsiao Peir-Rong Chen 《World Journal of Clinical Cases》 SCIE 2025年第8期22-25,共4页
BACKGROUND Aseptic meningitis is defined as meningeal inflammation caused by various etio-logies with negative cerebrospinal fluid(CSF)bacterial culture.The most common etiologies are viruses[enteroviruses,arboviruses... BACKGROUND Aseptic meningitis is defined as meningeal inflammation caused by various etio-logies with negative cerebrospinal fluid(CSF)bacterial culture.The most common etiologies are viruses[enteroviruses,arboviruses,and herpes simplex virus type 2(HSV-2)].Aseptic meningitis can have various presentations,including sensori-neural deafness.While sensorineural deafness from mumps meningoencephalitis has been reported,cases of HSV-2-induced hearing loss are rare.Herein,we re-port a case of HSV-2-induced meningitis that presented with sudden deafness.CASE SUMMARY A 68-year-old man experienced a profound sudden onset of left-sided hearing loss for one day.Pure-tone audiograms demonstrated sudden left-sided sensorineural hearing loss(thresholds 80-90 dB).After treatment with high-dose steroids for 1 week,he experienced an acute consciousness change with left hemiparesis.The laboratory data showed no significant abnormalities.Brain computed tomography without contrast and magnetic resonance imaging revealed no intracranial hemo-rrhage or obvious brain lesion.The CSF analysis and the Multiplex PCR panels showed HSV-2 positivity.Hence,under the diagnosis of herpes meningoenceph-alitis,acyclovir was prescribed and his symptoms gradually resolved.CONCLUSION This case report further demonstrates that a viral infection could be a cause of sudden sensorineural hearing loss. 展开更多
关键词 Aseptic meningitis Type 2 herpes simplex Sudden sensorineural hearing loss IMMUNOCOMPROMISED Cerebrospinal fluid Case report
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Quercetin inhibits herpes simplex virus 1 replication in corneal epithelium and suppresses keratitis progression
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作者 Yubin Yu Sihao Liu +2 位作者 Qinghua Liu Xiuping Liu Kaili Wu 《Virologica Sinica》 2025年第4期647-657,共11页
Quercetin is a natural compound with potent antiviral effects;however,its role in the treatment of herpes simplex keratitis(HSK)remains underexplored.Here,we investigated the antiviral effects of quercetin against her... Quercetin is a natural compound with potent antiviral effects;however,its role in the treatment of herpes simplex keratitis(HSK)remains underexplored.Here,we investigated the antiviral effects of quercetin against herpes simplex virus 1(HSV-1).By examining different phases of viral infection in human corneal epithelial cells(HCECs),we found that 30μmol/L quercetin inhibits HSV-1 replication primarily by disrupting viral attachment.RNA-sequencing and subsequent analyses revealed that the nuclear factor E2-related factor 2(Nrf2)was upregulated by quercetin in a dose-dependent manner.Knocking down Nrf2 partially compromised quercetin's antiviral effect.Importantly,topical application of 100μmol/L quercetin alleviated HSK severity in mice,reduced viral titers in tears,and inhibited VP16 expression in the cornea and trigeminal ganglia.These findings demonstrate the antiviral effect of quercetin against HSV-1 and provide a foundation for mechanistic studies to elucidate its therapeutic potential in HSK. 展开更多
关键词 QUERCETIN Herpes simplex virus type 1(HSV-1) Herpes simplex keratitis(HSK) Nrf2 ANTIVIRAL
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Generalizations of Euler Inequality in the n-dimensional Euclidean Space 被引量:4
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作者 WANG Wen YANG Shi-guo 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期218-223,共6页
The relation between the circum-radius and the in-radius of an n-dimensional simplex in E^n is studied.Two new generalizations of Euler inequality for the n-dimensional simplex are established.Besides,we obtain some s... The relation between the circum-radius and the in-radius of an n-dimensional simplex in E^n is studied.Two new generalizations of Euler inequality for the n-dimensional simplex are established.Besides,we obtain some stronger generalizations of Euler inequality for the n-dimensional simplex than previously known results. 展开更多
关键词 Euclidean space simplex circum-radius in-radius altitude Euler inequality
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Lipschitz Estimates for Commutators of N-dimensional Fractional Hardy Operators 被引量:8
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作者 ZHENG QING-YU Fu ZUN-WEI 《Communications in Mathematical Research》 CSCD 2009年第3期241-245,共5页
In this paper, it is proved that the commutator Hβ,b which is generated by the n-dimensional fractional Hardy operator Hβ and b ∈λα (R^n) is bounded from L^p(R^n) to L^q(R^n), where 0 〈 α 〈 1, 1 〈 p, q ... In this paper, it is proved that the commutator Hβ,b which is generated by the n-dimensional fractional Hardy operator Hβ and b ∈λα (R^n) is bounded from L^p(R^n) to L^q(R^n), where 0 〈 α 〈 1, 1 〈 p, q 〈 ∞ and 1/P - 1/q = (α+β)/n. Furthermore, the boundedness of Hβ,b on the homogenous Herz space Kq^α,p(R^n) is obtained. 展开更多
关键词 COMMUTATOR n-dimensional fractional Hardy operator Lipschitz function Herz space
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A new approach to fuzzy dynamic fault tree analysis using the weakest n-dimensional t-norm arithmetic 被引量:4
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作者 Ge JIANG Hongjie YUAN +1 位作者 Peichang LI Peng LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第7期1506-1514,共9页
Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain d... Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain due to absent or insufficient data for failure probabilities or failure rates of components. The traditional fuzzy operation arithmetic based on extension principle or interval theory may lead to fuzzy accumulations. Moreover, the existing fuzzy dynamic fault tree analysis methods are restricted to the case that all system components follow exponential time-to-failure distributions. To overcome these problems, a new fuzzy dynamic fault tree analysis approach based on the weakest n-dimensional t-norm arithmetic and developed sequential binary decision diagrams method is proposed to evaluate system fuzzy reliability. Compared with the existing approach,the proposed method can effectively reduce fuzzy cumulative and be applicable to any time-tofailure distribution type for system components. Finally, a case study is presented to illustrate the application and advantages of the proposed approach. 展开更多
关键词 Fuzzy dynamic fault treeanalysis Fuzzy theory Reliability evaluation Sequential binary decision diagrams The weakest n-dimensional t-norm arithmetic
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Asymptotic Study to the N-Dimensional Radial Schrdinger Equation for the Quark-Antiquark System 被引量:1
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作者 Ramesh Kumar Fakir Chand 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第5期528-532,共5页
Here an asymptotic study to the N-dimensional radial Schrdinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The comp... Here an asymptotic study to the N-dimensional radial Schrdinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The complete energy spectra of the consigned system is obtained by computing and adding energy eigenvalues for ground state, for large " r" and for small " r". From this analysis, the mass spectra of heavy quarkonia is derived in three dimensions. Our analytical and numerical results are in good correspondence with other experimental and theoretical studies. 展开更多
关键词 n-dimensional radial Schrodinger equation quarkonium potential eigenvalue EIGENFUNCTION
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General calculation formulas and recurrence relations of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 被引量:1
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作者 CHENChang-yuan LUFa-lin SUNDong-sheng 《原子与分子物理学报》 CAS CSCD 北大核心 2004年第3期432-440,共9页
In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix eleme... In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived. 展开更多
关键词 n-dimensional hydrogen atom-type potential Klein-Cordon equation Radial matrix dements GENERAL calculation FORMULAS RECURRENCE relations
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On Multiplicative Generators of n-Dimensional Overlap Functions 被引量:1
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作者 Hai Xie 《Applied Mathematics》 2020年第11期1061-1069,共9页
In this paper, inspired by the multiplicative generators of overlap functions, we mainly propose the concepts of multiplicative generator pairs of n-dimensional overlap functions, in order to extend the dimensionality... In this paper, inspired by the multiplicative generators of overlap functions, we mainly propose the concepts of multiplicative generator pairs of n-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to n. We present the condition under which the pair (g, h) can multiplicatively generate an n-dimensional overlap function O<sub>g,h</sub>. we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions. 展开更多
关键词 n-dimensional Overlap Functions Overlap Functions Multiplicative Generators
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Herpes simplex keratitis:A brief clinical overview 被引量:5
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作者 Mutali Musa Ehimare Enaholo +4 位作者 Gladness Aluyi-Osa George Nnamdi Atuanya Leopoldo Spadea Carlo Salati Marco Zeppieri 《World Journal of Virology》 2024年第1期5-32,共28页
The aim of our minireview is to provide a brief overview of the diagnosis,clinical aspects,treatment options,management,and current literature available regarding herpes simplex keratitis(HSK).This type of corneal vir... The aim of our minireview is to provide a brief overview of the diagnosis,clinical aspects,treatment options,management,and current literature available regarding herpes simplex keratitis(HSK).This type of corneal viral infection is caused by the herpes simplex virus(HSV),which can affect several tissues,including the cornea.One significant aspect of HSK is its potential to cause recurrent episodes of inflammation and damage to the cornea.After the initial infection,the HSV can establish a latent infection in the trigeminal ganglion,a nerve cluster near the eye.The virus may remain dormant for extended periods.Periodic reactivation of the virus can occur,leading to recurrent episodes of HSK.Factors triggering reactivation include stress,illness,immunosuppression,or trauma.Recurrent episodes can manifest in different clinical patterns,ranging from mild epithelial involvement to more severe stromal or endothelial disease.The severity and frequency of recurrences vary among individuals.Severe cases of HSK,especially those involving the stroma and leading to scarring,can result in vision impairment or even blindness in extreme cases.The cornea's clarity is crucial for good vision,and scarring can compromise this,potentially leading to visual impairment.The management of HSK involves not only treating acute episodes but also implementing long-term strategies to prevent recurrences and attempt repairs of corneal nerve endings via neurotization.Antiviral medications,such as oral Acyclovir or topical Ganciclovir,may be prescribed for prophylaxis.The immune response to the virus can contribute to corneal damage.Inflammation,caused by the body's attempt to control the infection,may inadvertently harm the corneal tissues.Clinicians should be informed about triggers and advised on measures to minimize the risk of reactivation.In summary,the recurrent nature of HSK underscores the importance of both acute and long-term management strategies to preserve corneal health and maintain optimal visual function. 展开更多
关键词 Herpes simplex virus Herpes simplex keratitis ACYCLOVIR NEUROTIZATION REACTIVATION
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Solutions of Laplace Equation in n-Dimensional Spaces
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作者 冯晶晶 黄玲 杨师杰 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第10期623-625,共3页
The solutions of the Laplace equation in n-dimensional space are studied. The angular eigenfunctions have the form of associated Jacob/polynomials. The radial solution of the Helmholtz equation is derived.
关键词 Laplace equation n-dimensional space associated Jacobi polynomials
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Study on Joint Method of 3D Acoustic Emission Source Localization Simplex and Grid Search Scanning 被引量:1
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作者 Liu Wei-jian Wang Hao-nan +4 位作者 Xiao Yang Hou Meng-jie Dong Sen-sen Zhang Zhi-zeng Lu Gao-ming 《Applied Geophysics》 SCIE CSCD 2024年第3期456-467,617,共13页
Acoustic emission(AE)source localization is a fundamental element of rock fracture damage imaging.To improve the efficiency and accuracy of AE source localization,this paper proposes a joint method comprising a three-... Acoustic emission(AE)source localization is a fundamental element of rock fracture damage imaging.To improve the efficiency and accuracy of AE source localization,this paper proposes a joint method comprising a three-dimensional(3D)AE source localization simplex method and grid search scanning.Using the concept of the geometry of simplexes,tetrahedral iterations were first conducted to narrow down the suspected source region.This is followed by a process of meshing the region and node searching to scan for optimal solutions,until the source location is determined.The resulting algorithm was tested using the artificial excitation source localization and uniaxial compression tests,after which the localization results were compared with the simplex and exhaustive methods.The results revealed that the localization obtained using the proposed method is more stable and can be effectively avoided compared with the simplex localization method.Furthermore,compared with the global scanning method,the proposed method is more efficient,with an average time of 10%–20%of the global scanning localization algorithm.Thus,the proposed algorithm is of great significance for laboratory research focused on locating rupture damages sustained by large-sized rock masses or test blocks. 展开更多
关键词 acoustic emission simplex form grid search scan locating the epicenter
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Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space
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作者 ZHAO Wei-Qin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3X期429-434,共6页
It is proved that when solving SchrSdinger equations for radially symmetric potentials the effect of higher dimensions on the radial wave function is equivalent to the effect of higher angular momenta in lower-dimensi... It is proved that when solving SchrSdinger equations for radially symmetric potentials the effect of higher dimensions on the radial wave function is equivalent to the effect of higher angular momenta in lower-dimensional cases. This result is applied to giving solutions for several radially symmetric potentials in N dimensions. 展开更多
关键词 n-dimensional Schrodinger equation radially symmetric potential dimension and angular momentum
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L_p(1≤p≤∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS
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作者 史应光 《Acta Mathematica Scientia》 SCIE CSCD 1993年第4期430-436,共7页
Some new characterizations and immediate explicit expressions of best L(1≤p≤∞) approximation and their deviations by an n-dimensional subspace on a set of n+1 points are given.
关键词 APPROXIMATION BY AN n-dimensional SUBSPACE ON A SET OF n+1 POINTS L_p ID Case
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CANONICAL REPRESENTATIONS AND DEGREE OF FREEDOM FORMULAE OF ORTHOGONAL TENSORS IN N-DIMENSIONAL EUCLIDEAN SPACE
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作者 熊祝华 郑泉水 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第1期93-101,共9页
In this paper, with the help of the eigenvalue properties of orthogonal tensors in n-dimensional Euclidean space and the representations of the orthogonal tensors in 2-dimensional space, the canonical representations ... In this paper, with the help of the eigenvalue properties of orthogonal tensors in n-dimensional Euclidean space and the representations of the orthogonal tensors in 2-dimensional space, the canonical representations of orthogonal tensors in n-dimensional Euclidean space are easily gotten. The paper also gives all the constraint relationships among the principal invariants of arbitrarily given orthogonal tensor by use of Cayley-Hamilton theorem; these results make it possible to solve all the eigenvalues of any orthogonal tensor based on a quite reduced equation of m-th order, where m is the integer part ofn \2. Finally, the formulae of the degree of freedom of orthogonal tensors are given. 展开更多
关键词 CANONICAL REPRESENTATIONS AND DEGREE OF FREEDOM FORMULAE OF ORTHOGONAL TENSORS IN n-dimensional EUCLIDEAN SPACE exp
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Black Garlic as an Antiviral for Herpes Simplex Virus-2 in Lung Cells
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作者 Jenna R. Horowitz Lee H. Lee Sandra D. Adams 《Advances in Bioscience and Biotechnology》 CAS 2024年第1期70-89,共20页
Allicin, an antioxidant, is known for providing garlic with its unique fragrance and taste, as well as for its antimicrobial properties. Black garlic, a fermented form of garlic, contains higher levels of antioxidants... Allicin, an antioxidant, is known for providing garlic with its unique fragrance and taste, as well as for its antimicrobial properties. Black garlic, a fermented form of garlic, contains higher levels of antioxidants than fresh garlic. Antioxidants play a vital role in alleviating cellular stress during viral infections. Viral infections result in oxidative stress through the production of reactive oxidative species (ROS). A prolonged state of oxidative stress can result in cell death, DNA damage, and disease progression. In this study, black garlic extract (BGE) is evaluated for its ability to mitigate cytopathic effects and oxidative stress caused by herpes simplex virus-2 (HSV-2) infections in vitro. Antiviral assays were performed to determine the percent of viral inhibition resulting from treatment with the BGE. ROS-Glo<sup>TM</sup> H<sub>2</sub>O<sub>2</sub> assays were then completed to measure the post-infection ROS levels of BGE-treated virus and cells. The results thus far suggest that BGE may inhibit viral infection and decrease levels of oxidative stress. 展开更多
关键词 Black Garlic Herpes simplex Virus-2 ANTIOXIDANT ANTIVIRAL ALLICIN
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Bilateral meibomian gland morphological alterations in unilateral herpes simplex keratitis based on artificial intelligence analysis
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作者 Xin-Xin Yu Xue-Wen Chen +1 位作者 Qi Dai Shuang-Qing Wu 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2024年第12期2153-2157,共5页
AIM:To explore whether unilateral herpes simplex keratitis(HSK)can cause morphological changes of bilateral meibomian glands(MGs)based on artificial intelligence(AI)analytical system.METHODS:In the retrospective study... AIM:To explore whether unilateral herpes simplex keratitis(HSK)can cause morphological changes of bilateral meibomian glands(MGs)based on artificial intelligence(AI)analytical system.METHODS:In the retrospective study,29 patients with unilateral HSK and 29 participants matched in terms of age and sex were included as control group.Meibographic images of the upper eyelid using Keratograph 5M and assessed ocular surface parameters including tear meniscus height and tear break-up time.MG density and vagueness values were automatically analyzed and calculated using an AI analytical system.We compared the differences between the affected and the contralateral unaffected eyes in HSK patients,and the normal control eyes.We employed either the paired t-test or the Wilcoxon signed-rank test to compare significant difference between the affected and unaffected eyes in HSK patients or between the HSK group and control group.RESULTS:The MG density was 0.19±0.09 in the HSKaffected eye and 0.18±0.07 in contralateral unaffected eye,which had no significant difference(P=0.616).The MG density between the affected eye with HSK and the normal control group was statistically significant(P=0.028).There was a significant difference in MG density between the contralateral unaffected eye and the normal control group(P=0.012).However,no significant difference in vagueness value was observed between the eye with HSK and the control group or between HSK eye and contralateral eye.CONCLUSION:The MG density between the HSKaffected eye and the contralateral unaffected eye don’t significantly differ,whereas there is a significant decrease in the HSK group compared to that of the normal participants.Unilateral HSV keratitis may suffer from bilateral changes of MG morphology indicating bilateral dry eye.Therefore,the fellow eye of patients with unilateral HSK should be considered a potential case of MG dysfunction,necessitating early treatment for bilateral dry eye in the clinic. 展开更多
关键词 herpes simplex keratitis artificial intelligence meibomian gland morphology bilateral alterations
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Learner Phase of Partial Reinforcement Optimizer with Nelder-Mead Simplex for Parameter Extraction of Photovoltaic Models
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作者 Jinpeng Huang Zhennao Cai +3 位作者 Ali Asghar Heidari Lei Liu Huiling Chen Guoxi Liang 《Journal of Bionic Engineering》 CSCD 2024年第6期3041-3075,共35页
This paper proposes an improved version of the Partial Reinforcement Optimizer(PRO),termed LNPRO.The LNPRO has undergone a learner phase,which allows for further communication of information among the PRO population,c... This paper proposes an improved version of the Partial Reinforcement Optimizer(PRO),termed LNPRO.The LNPRO has undergone a learner phase,which allows for further communication of information among the PRO population,changing the state of the PRO in terms of self-strengthening.Furthermore,the Nelder-Mead simplex is used to optimize the best agent in the population,accelerating the convergence speed and improving the accuracy of the PRO population.By comparing LNPRO with nine advanced algorithms in the IEEE CEC 2022 benchmark function,the convergence accuracy of the LNPRO has been verified.The accuracy and stability of simulated data and real data in the parameter extraction of PV systems are crucial.Compared to the PRO,the precision and stability of LNPRO have indeed been enhanced in four types of photovoltaic components,and it is also superior to other excellent algorithms.To further verify the parameter extraction problem of LNPRO in complex environments,LNPRO has been applied to three types of manufacturer data,demonstrating excellent results under varying irradiation and temperatures.In summary,LNPRO holds immense potential in solving the parameter extraction problems in PV systems. 展开更多
关键词 Partial reinforcement optimizer Learner phase Nelder-Mead simplex algorithm Parameter extraction
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