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The Orthogonal Bases of Exponential Functions Based on Moran-Sierpinski Measures

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Acta Mathematica Sinica,English Series 2024年第7期40卷 1804-1824页

作者： Qi rong DENG Xing Gang he Ming Tian LI Yuan Ling YE School of Mathematics and Statistics Center for Applied Mathematics of Fujian Province&Key Laboratory of Analytical Mathematics and Applications(Ministry of Education)Fujian Normal UniversityFuzhou350117P.R.China School of Mathematics and Statistics Key Lab NAA-MOE and Hubei Key Lab-Math.Sci.Central China Normal UniversityWuhan430079P.R.China School of Mathematical Sciences&South China Research Center for Applied Mathematics and Interdisciplinary Studies South China Normal UniversityGuangzhou510631P.R.China

Let An∈M2(ℤ)be integral matrices such that the infinite convolution of Dirac measures with equal weightsμ{A_(n),n≥1}δA_(1)^(-1)D*δA_(1)^(-1)A_(2)^(-2)D*…is a probability measure with compact support,where D={(0,0)^(t),(1,0)^(t),(0,1)^(t)}is the Sierpinski digit.We prove that there exists a setΛ⊂ℝ2 such that the family{e2πi〈λ,x〉:λ∈Λ}is an orthonormal basis of L^(2)(μ{A_(n),n≥1})if and only if 1/3(1,-1)A_(n)∈Z^(2)for n≥2 under some metric conditions on A_(n).

关键词： Moran-Sierpinski measures orthonormal basis of exponential functions self-affine measures spectral measures

Evidence-based optimization of integrated traditional Chinese and Western medicine therapies for prevention and treatment of coronary heart disease： design and implementation

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TMR Modern herbal Medicine 2018年第3期1卷 124-126页

作者： Yin Jiang Xiao-Yu Zhang Gui-Hua Tian Li-Jing Zhang Ming-Xue Zhang Hai-Tong Wan Min Ye rong-rong he Xin Sun Hong-Cai Shang Key Laboratory of Chinese Internal Medicine of Ministry of Education Dongzhimen Hospital affiliated to Beijing University of Chinese Medicine Beijing China Affiliated Hospital of Liaoning University of Traditional Chinese Medicine Liaoning China Zhejiang Chinese Medical University Zhejiang China Peking University Beijing China Jinan University Guangdong China Chinese Evidence-Based Medicine Center West China Hospital Sichuan University Sichuan China

Petrogenesis and Tectonic Significance of Shenxianshui Alkaline Granite in Gejiu,Yunnan Province,China

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Acta Geologica Sinica(English Edition) 2024年第2期98卷 368-385页

作者： YANG rong CheN Yongqing School of Earth Sciences and Resources China University of GeosciencesBeijing 100083China

The Shenxianshui granites in the western Gejiu area were formed in the Late Cretaceous.Laser ablation inductively coupled plasma mass spectrometry indicates zircon U-Pb ages ranging from 90.67±0.7 to 85.97±0.6 Ma.The intrusive rocks are peraluminous(A/CNK=1.03 to 1.33)and calc-alkaline,showing an affinity towards I-type granite.Large ion lithophilic elements are enriched in K and Rb,while high field strength elements are depleted.Moreover,light rare earth elements are significantly enriched,showing a slight negative Eu anomaly(Eu/Eu^(*)=0.39 to 0.58).Shenxianshui granite has a relatively high initial Sr isotope ratio(^(87)Sr/^(86)Sr)_(i)(0.7098-0.7105),negative ε_(Nd)(t)values(−7.99 to−7.44)and negative ε_(Hf)(t)values(−8.37 to−2.58).Combined with previous studies,these characteristics suggest that the Shenxianshui alkaline granites were formed in a post-collision extensional environment.The alkaline granitic magma possibly originated from the partial melting of the lower crust during the Mesoproterozoic era and may have contained mantle source materials.Shenxianshui alkaline granite was formed from mixed magma with a high degree of crystal differentiation.The abundance of ore-forming elements indicates that Shenxianshui granite has the potential to mineralize key metals and rare earth elements.

关键词： I-type granite zircon U-Pb geochronology Sr-Nd-Pb isotopes Hf isotope Gejiu

Small Cycles Property of Some Cremer Rational Maps and Polynomials

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Chinese Annals of Mathematics,Series B 2024年第1期45卷 123-136页

作者： rong FU Ji ZHOU Faculty of Science Yibin UniversityYibin 644000SichuanChina Department of Mathematical Sciences Sichuan Normal UniversityChengdu 610066China

This paper concerns the linearization problem on rational maps of degree d≥2 and polynomials of degree d>2 from the perspective of non-linearizability.The authors introduce a set l_(∞) of irrational numbers and show that if α∈l_(∞),then any rational map is not linearizable and has infinitely many cycles in every neighborhood of the fixed point with multiplier λ=e^(2πiα),Adding more constraints to cubic polynomials,they discuss the above problems by polynomial-like maps.For the family of polynomials,with the help of Yoccoz's method,they obtain its maximum dimension of the set in which the polynomials are non-linearizable.

关键词： Irrationally indifferent fixed point Linearization problem Small cycles property

Bioinspired nanomaterials for the treatment of bacterial infections

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Nano Research 2024年第2期17卷 691-714页

作者： Xiaojing Ma Wenjing Tang rong Yang Robert F.Smith School of Chemical&Biomolecular Engineering Cornell UniversityIthacaNY 14853USA

Infectious diseases pose a serious threat to global health.Although immunizations can control most viral infections,bacterial infections,particularly those caused by drug-resistant strains,continue to cause high rates of illness and death.Unfortunately,the creation of new antibiotics has come to a grinding halt in the last ten years.In response to this crisis,nanotechnology has emerged as a hopeful solution to tackle drug resistance and enhance treatment results.A large variety of biomimetic nanomaterials,termed nanozymes,have demonstrated strong antimicrobial efficacy.While the inherent toxicity of nanomaterials is a concern,recent studies have harnessed the stimuli-responsiveness of nanomaterials to enable local and/or targeted delivery to reduce the treatment side effects.Indeed,the physicochemical versatility of nanomaterials affords many degrees of freedom that enable rational design of smart or autonomous therapeutics,which cannot be achieved using conventional antibiotics.The design straddles the fields of catalysis,nanoscience,microbiology,and translational medicine.To provide an overview of this interdisciplinary landscape,this review is organized based on composition into lipid,metal,metal oxide,and non-metallic nanomaterials.Liposomes as a delivery vehicle enhance bioavailability and reduce toxicity.Metal-and metal oxide-based nanomaterials inhibit bacterial growth by mimicking natural enzymatic activities such as peroxidase(POD)and oxidase.Furthermore,carbon-,polymer-,and cell membrane-based nanomaterials are combined into a discussion on non-metallic materials.At the end of this review,potentially fruitful directions for future bioinspired nanomaterials in infectious disease treatment are included.

关键词： bioinspired nanomaterial bacteria infectious disease antimicrobial liposome nanozyme

Evaluation of erastin synergized cisplatin anti-nasopharyngeal carcinoma effect with a glutathione-activated near-infrared fluorescent probe

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Chinese Chemical Letters 2024年第2期35卷 311-316页

作者： rong he Dandan Tang Ningge Xu heng Liu Kun Dou Xuejun Zhou Fabiao Yu Department of Otolaryngology Head and Neck SurgeryThe First Affiliated Hospital of Hainan Medical UniversityHaikou 570102China Key Laboratory of Hainan Trauma and Disaster Rescue Key Laboratory of Emergency and TraumaMinistry of EducationEngineering Research Center for Hainan Bio-Smart Materials and Bio-Medical DevicesCollege of Emergency and TraumaHainan Medical UniversityHaikou 571199China Sichuan Provincial General Hospital of Judicial Police Chengdu 610225China

Nasopharyngeal carcinoma(NPC),a malignant tumor originating from the nasopharynx,is one of the common malignant tumors of the head and neck.There are significant geographical differences in the incidence of nasopharyngeal carcinoma,with a high incidence in China and Southeast Asian countries.herein,we designed and synthesized a novel near-infrared fluorescent(NIRF)probe to detect glutathione(GSH)in cellular and tumor environments using semi-naphthofluorescein(SNAFL)as the fluorescent molecular backbone and 2-fluoro-4-nitrobenzenesulfonate as the recognition moiety.Upon reaction with GSH,SNAFL-GSH emitted a fluorescence signal,and its emission wavelength at 650 nm was remarkably enhanced.The results of selectivity experiments indicated that SNAFL-GSH was able to discriminate GSH from Cys,Hcy,and H_(2) S.Moreover,SNAFL-GSH could image both endogenous and exogenous GSH and distinguish normal and cancer cells by fluorescence signal difference.At the cellular level,cisplatin(DDP)-induced ferroptosis and inhibition of proliferation of various NPC cell lines(CNE2,CNE1,5-8F cells)by erastin combined with DDP were visualized with the help of SNAFL-GSH.In a mouse tumor xenograft model,we successfully employed SNAFL-GSH for the evaluation of the efficacy of erastin combined with DDP in the treatment of NPC.More importantly,the probe could image cancerous tissue sections from NPC patients with an imaging depth of approximately 80µm.It was foreseen that SNAFL-GSH offered great potential for application in the diagnosis and evaluation of the therapeutic efficacy of NPC,and these results would also provide new ideas for the clinical treatment of NPC.

关键词： Glutathione NIRF probe Ferroptosis Anti-tumor therapy evaluation Bioimaging

Benefit-Risk Assessment of Chinese Medicine Injections for Primary Liver Cancer Based on Multi-criteria Decision Analysis

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Chinese Journal of Integrative Medicine 2024年第6期30卷 559-564页

作者： ZHANG rong-rong SHAO Ming-yi FU Yu ZHAO Rui-xia WANG Jing-wen FANG Yu-xuan The First Clinical Medical College of henan University of Traditional Chinese Medicine Zhengzhou450046China Personal Department the First Affiliated Hospital of Henan University of Chinese MedicineZhengzhou450000China Scientific Research Department the First Affiliated Hospital of Henan University of Chinese MedicineZhengzhou450000China Digestive Department the First Affiliated Hospital of Henan University of Chinese MedicineZhengzhou450000China

ObjectiveTo evaluate the benefit-risk of 3 commonly used Chinese medicine injections, Aidi Injection (ADI), Cinobufagin Injection (CINI) and Compound Kushen Injection (CKI), in the treatment of primary liver cancer (PLC), so as to provide a reference for clinical decision-making.MethodsRandomized controlled trials (RCTs) of ADI, CINI and CKI in the treatment of PLC published in the databases of China National Knowledge Infrastructure, Wanfang, China Science and Technology Journal Database, SinoMed, PubMed, Cochrane Library, and Web of Science were retrieved from January 2020 to October 2022. The data of benefit and risk indicators were combined to obtain the effect value. The multi-criteria decision analysis (MCDA) model was applied to build the decision tree. The benefit value, risk value and benefit risk value of the 3 injections in PLC treatment were calculated. Monte Carlo simulation was carried out to calculate the 95% confidence interval and probability of differences among the 3 injections, so as to optimize the evaluation results.ResultsA total of 71 RCTs were included. The benefit values of ADI, CINI and CKI combined with transcatheter arterial chemoembolization (TACE) were 42, 38 and 36, respectively. The risk values were 42, 25 and 37, respectively. The benefit risk values were 42, 31 and 37, respectively. The benefit risk differences of ADI vs. CINI, ADI vs. CKI, and CKI vs. CINI were 11 (−0.86, 17.75), 5 (−5.01, 11.09), and 6 (−1.87, 12.63), respectively. The probability that ADI superior to CINI, ADI superior to CKI, and CKI superior to CINI was 96.26%, 77.27%, and 92.62%, respectively.ConclusionBased on the results of MCDA model, CINI combined with TACE has the greatest risk in the treatment of the PLC. Considering the efficacy and safety, the possible priority of the 3 Chinese medicine injections combined with TACE in the treatment of PLC is ADI, CKI and CINI.

关键词： multi-criteria decision analysis benefit-risk assessment Chinese medicine injections primary livercancer

Transcriptome sequencing reveals novel biomarkers and immune cell infiltration in esophageal tumorigenesis

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World Journal of Gastrointestinal Oncology 2024年第4期16卷 1500-1513页

作者： Jian-rong Sun Dong-Mei Chen rong Huang Rui-Tao Wang Li-Qun Jia School of Clinical Medicine Beijing University of Chinese MedicineBeijing 100029China Integrated Chinese and Western Medicine Oncology China-Japan Friendship HospitalBeijing 100029China

BACKGROUND Esophageal squamous cell carcinoma(ESCC)is one of the most common malignancies worldwide,and its development comprises a multistep process from intraepithelial neoplasia(IN)to carcinoma(CA).However,the critical regulators and underlying molecular mechanisms remain largely unknown.AIM To explore the genes and infiltrating immune cells in the microenvironment that are associated with the multistage progression of ESCC to facilitate diagnosis and early intervention.METHODS A mouse model mimicking the multistage development of ESCC was established by providing warter containing 4-nitroquinoline 1-oxide(4NQO)to C57BL/6 mice.Moreover,we established a control group without 4NQO treatment of mice.Then,transcriptome sequencing was performed for esophageal tissues from patients with different pathological statuses,including low-grade IN(LGIN),high-grade IN(HGIN),and CA,and controlled normal tissue(NOR)samples.Differentially expressed genes(DEGs)were identified in the LGIN,HGIN,and CA groups,and the biological functions of the DEGs were analyzed via Gene Ontology and Kyoto Encyclopedia of Genes and Genomes enrichment analyses.The CIBERSORT algorithm was used to detect the pattern of immune cell infilt-ration.Immunohistochemistry(IHC)was also conducted to validate our results.Finally,the Luminex multiplex cytokine analysis was utilized to measure the serum cytokine levels in the mice.RESULTS Compared with those in the NOR group,a total of 681541,and 840 DEGs were obtained in the LGIN,HGIN,and CA groups,respectively.Using the intersection of the three sets of DEGs,we identified 86 genes as key genes involved in the development of ESCC.Enrichment analysis revealed that these genes were enriched mainly in the keratinization,epidermal cell differentiation,and interleukin(IL)-17 signaling pathways.CIBERSORT analysis revealed that,compared with those in the NOR group,M0 and M1 macrophages in the 4NQO group showed stronger infiltration,which was validated by IHC.Serum cytokine analysis revealed that,compared with those i

关键词： Esophageal squamous cell carcinoma Intraepithelial neoplasia Tumorigenesis Transcriptome sequencing Biomarkers Immune cell infiltration 4-nitroquinoline 1-oxid

Maximal operators of pseudo-differential operators with rough symbols

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Applied Mathematics(A Journal of Chinese Universities) 2024年第1期39卷 174-180页

作者： Ramla Benhamoud ZHU Xiang-rong School of Mathematical Sciences Zhejiang Normal UniversityJinhua 321004China

Consider a pseudo-differential operator T_(a)f(x)=∫_(R^(n))e^(ix,ζ)a(x,ζ)f(ζ)dζwhere the symbol a is in the rough Hormander class L^(∞)S_(ρ)^(m)with m∈R andρ∈[0,1].In this note,when 1≤p≤2,if n(ρ-1)/p and a∈L^(∞)S_(ρ)^(m),then for any f∈S(R^(n))and x∈R^(n),we prove that M(T_(a)f)(x)≤C(M(|f|^(p))(x))^(1/p) where M is the Hardy-Littlewood maximal operator.Our theorem improves the known results and the bound on m is sharp,in the sense that n(ρ-1)/p can not be replaced by a larger constant.

关键词： pseudo-differential operator rough Hormander class H-L maximal operator