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Existence of Sign-Changing Solutions for the p-Laplacian Equation from Linking Type Theorem

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Acta Mathematica Sinica,English Series 2010年第7期26卷 1355-1368页

作者： You Jun WANG yao tian SHEN Department of Mathematics South China University of Technology Guangzhou 510640 P. R. China

In this paper, the existence of sign-changing solutions for p-Laplacian equation is obtained via a new linking theorem.

关键词： sign-changing solutions p-Laplacian (w-PS) condition linking

Existence of Nontrivial Solutions for p-Laplacian-Like Equations

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Acta Mathematicae Applicatae Sinica 2011年第3期27卷 393-406页

作者： Zhou-xin Li yao-tian Shen Department of Mathematics South China University of Technology Guangzhou 510640 China

In this paper, we study the p-Laplacian-Like equations involving Hardy potential or involving critical exponent and prove the existence of one or infinitely many nontrivial solutions. The results of the equations disc... 详细信息

关键词： p-Laplacian-Like equation hardy potential critical exponent

Electrochemical response of MoS_(2) nanosheets/SiO_(2)-NH_(2) nanoparticles modified glassy carbon electrode to phenylacetic acid

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Rare Metals 2023年第12期42卷 4142-4152页

作者： tian-yao Qi Zhen-Yu Yuan Fan-Li Meng College of Information Science and Engineering Northeastern UniversityShenyang 110819China Hebei Key Laboratory of Micro-Nano Precision Optical Sensing and Measurement Technology Qinhuangdao 066004China National Frontiers Science Center for Industrial Intelligence and Systems Optimization Northeastern UniversityShenyang 110819China Key Laboratory of Data Analytics and Optimization for Smart Industry(Northeastern University) Ministry of EducationShenyang 110819China

Phenylacetic acid(PAA)is a primary raw material for illegal Methamphetamine(MATM)synthesis under the strong precursor chemicals supervisions of safrole and ***,trace detection of PAA at ultra-low concentration is a strategic technique and an urgent issue in the field of drug *** this paper,trace determination of PAA at sub-nmol-L-1 concentration level is achieved by hydrogen bond adsorption and electrochemical catalysis through the prepared aminated SiO_(2)nanoparticles(SiO_(2)-NH_(2) NPs)and MoS_(2) nanosheets(NSs)modified glassy carbon electrode(GCE).The prepared MoS_(2) NS s/SiO_(2)-NH_(2) NPs modified electrode represents a detecting limit of 0.0989 nmol·L^(-1)and an obvious increasing linear range before the concentration increasement up to 60 nmol·L^(-1)in square wave voltammetry(SWV)responses of *** SWV response of the modified electrode to PAA in the concentration range within 100 nmol·L^(-1)is higher than phenol,acetic acid(HOAc)and benzoic Acid(BEN).This electrochemical method for trace detection of PAA in aqueous solution with desired performance provides a feasible scheme for the detection of other drugs and aromatic precursor chemicals.

关键词： Phenylacetic acid detection Modified electrode MoS_(2)nanosheet Square wave voltammetry

DISCUSSION ON RELATION BETWEEN BOUNDARY LAYER AND WALL EROSION CAUSED BY STRIKING OF PARTICLES

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Journal of Hydrodynamics 1991年第1期3卷 72-76页

作者： Lin, Jian-zhong Shen, tian-yao Zhejiang Univ Hangzhou China

The kinetic characteristics of particles moving through laminar or turbulent boundary layer are computed and different erosive situations caused by striking of particles are compared. The function of anti-erosion sinews added on the blades is analysed. The energy detrition in the two-phase turbulent flow is discussed. The content is helpful to the design of anti-erosion fans.

关键词： Erosion Fans Fluid Mechanics Mathematical Models Turbomachinery Blades

Drosophila Studies on Autism Spectrum Disorders

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Neuroscience Bulletin 2017年第6期33卷 737-746页

作者： yao tian Zi Chao Zhang Junhai Han Institute of Life Sciences The Key Laboratory of Developmental Genes and Human DiseaseSoutheast UniversityNanjing 210096China

In the past decade, numerous genes associated with autism spectrum disorders（ASDs） have been identified. These genes encode key regulators of synaptogenesis,synaptic function, and synaptic plasticity. Drosophila is a prominent model system for ASD studies to define novel genes linked to ASDs and decipher their molecular roles in synaptogenesis, synaptic function, synaptic plasticity, and neural circuit assembly and consolidation. Here, we review Drosophila studies on ASD genes that regulate synaptogenesis, synaptic function, and synaptic plasticity through modulating chromatin remodeling, transcription, protein synthesis and degradation, cytoskeleton dynamics, and synaptic scaffolding.

关键词： Autism spectrum disorders Drosophila Chromatin remodeling Synaptic scaffolding Synaptic transmission

A case study of a micro-inversion event in dark brown fibre cotton(Gossypium hirsutum)

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The Crop Journal 2020年第4期8卷 577-585页

作者： tianwang Wen tian yao Chunyuan You Zhongxu Lin National Key Laboratory of Crop Genetic Improvement College of Plant Science and TechnologyHuazhong Agricultural UniversityWuhan 430070HubeiChina Cotton Research Institute Shihezi Academy of Agriculture ScienceShihezi 832003XinjiangChina

Structural variation is a major type of genetic variation that can potentially induce powerful genetic *** this study,we examined the Inv(A07)p1.09 p2.23 genetic inversion in brown fibre cotton at the individual and population genetics levels.A dark-brown fibre mutant that resulted from a distant hybridization between Gossypium barbadense and ***,and a natural population including 30 dark-brown,70 light-brown and 21 white fibre cotton accessions were collected to perform a functional study of this *** results showed that Inv(A07)p1.09 p2.23 can be detected by high-throughput resequencing method,and induce micro-deletion,gene disruption(Ghir_A07 G000980)and abnormal gene expression in the breakpoint ***(A07)p1.09 p2.23 existed in only dark-brown fibre cotton,had undergone negative selection in elite brown fibre cultivars,and was significantly associated with fibre colour and nine fibre *** the Inv(A07)p1.09 p2.23 region,nucleotide diversity was lower,recombination was absent,and linkage disequilibrium was ***,this inversion event in dark-brown fibre cotton produced significant genetic effects,and this study will guide us to better understand the genetic effects of inversion events in dark-brown fibre cotton.

关键词： Gossypium elite cultivar

Determination of Roxithromycin Tablets by Capillary Electrophoresis Employing Non-aqueous Media with Square-wave Amperometric Detection

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Chinese Chemical Letters 2002年第5期13卷 440-441页

作者： Na LI tian yao XIE Jin Yuan MO School of Chemistry and Chemical Engineering Zhongshan UniversityGuangzhou 510275

A new method of determination for roxithromycin tablets by non-aqueous capillary electrophoresis (NACE) with square-wave amperometric detection was carried out. Several parameters affecting the NACE-AD determination were studied. The data was modified by spline wavelet least square (SWLS). The method is simple, rapid and highly reliable for routine analysis.

关键词： Non-aqueous capillary electrophoresis (NACE) amperometric detection roxithromycin spline wavelet least square (SWLS).

Phototransduction in Drosophila

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Science China(Life Sciences) 2012年第1期55卷 27-34页

作者： tian yao HU Wen TONG HuaWei HAN JunHai Institute of Life Science the Key Laboratory of Developmental Genes and Human DiseaseSoutheast UniversityNanjing 210096China

The Drosophila visual transduction is the fastest known G protein-coupled signaling cascade and has been served as a model for understanding the molecular mechanisms of other G protein-coupled signaling cascades. Numbers of components in visual transduction machinery have been identified. Based on the functional characterization of these genes, a model for Drosophila phototransduction has been outlined, including rhodopsin activation, phosphoinoside signaling, and the opening of TRP and TRPL channels. Recently, the characterization of mutants, showing slow termination, revealed the physiological significance and the mechanism of rapid termination of light response.

关键词： GPCR signaling visual transduction rhodopsin TRP channels Drosophila

Designs to Improve Capability of Neural Networks to Make Structural Predictions

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Chinese Journal of Polymer Science 2023年第9期41卷 1477-1485,I0009页

作者： tian-yao Wang Jian-Feng Li Hong-Dong Zhang Jeff Z.Y.Chen Department of Macromolecular Science State Key Laboratory of Macromolecular Engineering of PolymersFudan UniversityShanghai200438China Department of Physics and Astronomy University of WaterlooWaterlooN2L 3G1Canada

A deep neural network model generally consists of different modules that play essential roles in performing a *** optimal design of a module for use in modeling a physical problem is directly related to the success of the *** this work,the effectiveness of a number of special modules,the self-attention mechanism for recognizing the importance of molecular sequence information in a polymer,as well as the big-stride representation and conditional random field for enhancing the network ability to produce desired local configurations,is numerically *** models containing these modules are trained by using the well documented data of the native structures of the HP model and assessed according to their capability in making structural predictions of unseen *** specific network design of self-attention mechanism adopted here is modified from a similar idea in natural language *** big-stride representation module introduced in this work is shown to drastically improve network's capability to model polymer segments of strong lattice position correlations.

关键词： Deep neural network Self-attention mechanism Big-stride representation Conditional random methods