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Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves

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Journal of Oceanology and Limnology 2024年第5期42卷 1415-1424页

作者： Rong su Penghao JI Xiaojun YIN College of Science Inner Mongolia Agricultural UniversityHohhot 010018China

Based on an algebraically Rossby solitary waves evolution model,namely an extended(2+1)-dimensional Boussinesq equation,we firstly introduced a special transformation and utilized the Hirota method,which enable us to obtain multi-complexiton solutions and explore the interaction among the *** wave functions are then employed to infer the influence of background flow on the propagation of Rossby waves,as well as the characteristics of propagation in multi-wave running ***,we generated stereogram drawings and projection figures to visually represent these *** dynamical behavior of these solutions is thoroughly examined through analytical and graphical ***,we investigated the influence of the generalized beta effect and the Coriolis parameter on the evolution of Rossby waves.

关键词： Rossby wave Boussinesq equation Complexiton solution Breather solution

Structure and Representations for Electrical Lie Algebra of Type D_(5)

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Algebra Colloquium 2024年第2期31卷 271-284页

作者： Yulu Chen Ran Shen Yucai su College of Science Donghua UniversityShanghai 201620China 不详

In this paper,we prove that the electrical Lie algebra e D_(5)is isomorphic to the semidirect product of sp_(4)and a 2-step nilpotent Lie ***,we classify the irreducible highest weight modules for e D_(5).

关键词： electrical Lie algebra 2-step nilpotent Lie algebra highest weight module

Molecular evolution of Toll-like receptors in rodents

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Integrative Zoology 2024年第3期19卷 371-386页

作者： Qianqian su Yi CHEN Hongxuan HE College of Forestry Central South University of Forestry and TechnologyChangshaChina National Research Center for Wildlife-Borne Diseases Institute of ZoologyChinese Academy of SciencesBeijingChina

Toll-like receptors(TLRs),the key sensor molecules in vertebrates,trigger the innate immunity and prime the adaptive immune *** TLR family of rodents,the largest order of mammals,typically contains 13 TLR ***,a clear picture of the evolution of the rodent TLR family has not yet emerged and the TLR evolutionary patterns are unclear in rodent ***,we analyzed the natural variation and the evolutionary processes acting on the TLR family in rodents at both the interspecific and population *** results showed that rodent TLRs were dominated by purifying selection,but a series of positively selected sites(PSSs)primarily located in the ligand-binding domain was also *** numbers of PSSs differed among TLRs,and nonviralsensing TLRs had more PSSs than those in viral-sensing ***-conversion events were found between TLR1 and TLR6 in most rodent *** genetic analyses showed that TLR2,TLR8,and TLR12 were under positive selection in Rattus norvegicus and ***,whereas positive selection also acted on TLR5 and TLR9 in the former species,as well as TLR1 and TLR7 in the latter ***,we found that the proportion of polymorphisms with potentially functional change was much lower in viral-sensing TLRs than in nonviral-sensing TLRs in both of these rat *** findings revealed the first thorough insight into the evolution of the rodent TLR genetic variability and provided important novel insights into the evolutionary history of TLRs over long and short timescales.

关键词： adaptive evolution gene conversion positive selection rodents Toll-like receptors

ON THE CAUCHY PROBLEM FOR THE GENERALIZED BOUSSINESQ EQUATION WITH A DAMPED TERM

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Acta Mathematica Scientia 2024年第5期44卷 1766-1786页

作者： Xiao su Shubin WANG College of Science Henan University of TechnologyZhengzhou450001China School of Mathematics and Statistics Zhengzhou UniversityZhengzhou450001China

This paper is devoted to the Cauchy problem for the generalized damped Boussinesq equation with a nonlinear source term in the natural energy *** the help of linear time-space estimates,we establish the local existence and uniqueness of solutions by means of the contraction mapping *** global existence and blow-up of the solutions at both subcritical and critical initial energy levels are ***,we construct the sufficient conditions of finite time blow-up of the solutions with arbitrary positive initial energy.

关键词： damped Boussinesq equation Cauchy problem global solutions blow-up

Free amino group-directed C(sp^(2))-H arylation ofα-amino-β-aryl esters by palladium catalysis

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Chinese Chemical Letters 2024年第2期35卷 358-360页

作者： Yue Gao Yu Du Weiping su State Key Laboratory of Structural Chemistry Fujian Institute of Research on the Structure of MatterChinese Academy of SciencesFuzhou 350002China Fujian Science & Technology Innovation Laboratory for Optoelectronic Information of China Fuzhou 350108China University of Chinese Academy of Sciences Beijing 100049China

Native amino-directed palladium-catalyzed C(sp^(3))-H activation/functionalization has been developed for modification ofα-amino acids and *** a palladium(Ⅱ)-catalyzed C(sp^(2))-H arylation ofα-amino-β-aryl esters has been disclosed,using the native amino as the directing group.A variety of chiralα-amino-β-aryl esters can be functionalized to give the corresponding ortho-substituted mono-and di-arylated products.

关键词： Native amino-directed Palladium catalyst C(sp^(2))-H arylation α-Amino-β-aryl ester Chiralα-amino acid

Development and Validation of a Carbohydrate Metabolism-Related Model for Predicting Prognosis and Immune Landscape in Hepatocellular Carcinoma Patients

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Current Medical Science 2024年第4期44卷 771-788页

作者： Hong-xiang HUANG Pei-yuan ZHONG Ping LI su-juan PENG Xin-jing DING Xiang-lian CAI Jin-hong CHEN Xie ZHUI Zhi-hui LUI Xing-yu TAO Yang-yang LIU Li CHEN Department of Oncology The First Affiliated Hospital of Nanchang UniversityNanchang330006China Jiangxi Institute of Respiratory Disease The First Affiliated Hospital of Nanchang UniversityNanchang330006China Department of Oncology Jiangxi Provincial People’s HospitalThe First Affiliated Hospital of Nanchang Medical CollegeNanchang330006China Department of Respiratory and Critical Care Medicine The First Affiliated Hospital of Nanchang UniversityNanchang330006China

Objective The activities and products of carbohydrate metabolism are involved in key processes of ***,its relationship with hepatocellular carcinoma(HCC)is *** The cancer genome atlas(TCGA)-HCC and ICGC-LIRI-JP datasets were acquired via public *** expressed genes(DEGs)between HCC and control samples in the TCGA-HCC dataset were identified and overlapped with 355 carbohydrate metabolism-related genes(CRGs)to obtain differentially expressed CRGs(DE-CRGs).Then,univariate Cox and least absolute shrinkage and selection operator(LASSO)analyses were applied to identify risk model genes,and HCC samples were divided into high/low-risk groups according to the median risk ***,gene set enrichment analysis(GSEA)was performed on the risk model *** sensitivity of the risk model to immunotherapy and chemotherapy was also *** A total of 8 risk model genes,namely,G6PD,PFKFB4,ACAT1,ALDH2,ACYP1,OGDHL,ACADS,and TKTL1,were ***,the risk score,cancer status,age,and pathologic T stage were strongly associated with the prognosis of HCC *** the stromal score and immune score had significant negative/positive correlations with the risk score,reflecting the important role of the risk model in immunotherapy ***,the stromal and immune scores had significant negative/positive correlations with risk scores,reflecting the important role of the risk model in immunotherapy ***,we found that high-/low-risk patients were more sensitive to 102 drugs,suggesting that the risk model exhibited sensitivity to chemotherapy *** results of the experiments in HCC tissue samples validated the expression of the risk model *** Through bioinformatic analysis,we constructed a carbohydrate metabolism-related risk model for HCC,contributing to the prognosis prediction and treatment of HCC patients.

关键词： hepatocellular carcinoma carbohydrate metabolism the cancer genome atlas bioinformatics

Spectral flow, Llarull's rigidity theorem in odd dimensions and its generalization

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Science China Mathematics 2024年第5期67卷 1103-1114页

作者： Yihan Li Guangxiang su Xiangsheng Wang Chern Institute of Mathematics&LPMC Nankai UniversityTianjin 300071China School of Mathematics Shandong UniversityJinan 250100China

For a compact spin Riemannian manifold(M,g^(TM))of dimension n such that the associated scalar curvature kT M verifies that k^(TM)≥n(n-1),Llarull’s rigidity theorem says that any area-decreasing smooth map f from M to the unit sphere Sn of nonzero degree is an *** this paper,we present a new proof of Llarull’s rigidity theorem in odd dimensions via a spectral flow *** approach also works for a generalization of Llarull’s theorem when the sphere Sn is replaced by an arbitrary smooth strictly convex closed hypersurface in Rn+*** results answer two questions by Gromov(2023).

关键词： Dirac operator scalar curvature spectral flow

On the Infinite-Dimensional Modular Lie superalgebras of O-Type

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Algebra Colloquium 2024年第2期31卷 347-360页

作者： Xiaoning Xu Jing Zhao Yucai su School of Mathematics and Statistics Liaoning UniversityShenyang 110036China 不详

The natural filtrations of infinite-dimensional Lie superalgebras of O-type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent *** observe that two Lie superalgebras of O-type are isomorphic if and only if the integers in the definition of these Lie superalgebras are ***,all the Lie superalgebras of O-type are classified in the sense of isomorphism.

关键词： filtration isomorphism classification

Quantum-enhanced microscopic imaging technology [Invited]

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Chinese Optics Letters 2024年第6期22卷 68-76页

作者： Jun Liu Xiaolong su State Key Laboratory of Quantum Optics and Quantum Optics Devices Institute of Opto-ElectronicsShanxi UniversityTaiyuan 030006China Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan 030006China

Microscopes are indispensable tools in modern biology and medicine. With the development of microscopy, the signal-tonoise ratio of microscopes is now limited by the shot noise. Recently, quantum-enhanced microscopic imaging provides a feasible approach for improving the signal-to-noise ratio since it can beat the shot-noise limit by using quantum light. In this review, we first briefly introduce quantum states applied in quantum-enhanced microscopic imaging, and then we provide an overview of the principle and progress of quantum-enhanced stimulated Raman scattering microscopy, entangled twophoton microscopy,and quantum-enhanced differential interference contrast microscopy.

关键词： squeezed state entangled state imaging microscopy