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Trigonometric Widths and Best N-Term Approximations of the Generalized Periodic Besov Classes B_(p,θ)~Ω

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Journal of Mathematical Research and Exposition 2011年第1期31卷 129-141页

作者： li qin duan Gen Sun FANG Institute of Mathematics Hangzhou Dianzi University Zhejiang 310018 P. R. China School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 P. R. China

In this paper, we determine the estimates exact in order for the trigonometric widths and the best n-term trigonometric approximations of the generalized classes of periodic functions B^Ωpθ in the space Lq for some ... 详细信息

关键词： trigonometric width best n-term approximation generalized Besov classes.

An efficient quantum proactive incremental learning algorithm

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 49-57页

作者： lingxiao li Jing li Yanqi Song Sujuan qin Qiaoyan Wen Fei Gao State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications School of Cyberspace Security Beijing University of Posts and Telecommunications

In scenarios where a large amount of data needs to be learned, incremental learning can make full use of old knowledge, significantly reduce the computational cost of the overall learning process, and maintain high performance. In this paper, taking the MaxCut problem as our example, we introduce the idea of incremental learning into quantum computing, and propose a Quantum Proactive Incremental Learning algorithm(QPIL). Instead of a one-off training of quantum circuit, QPIL contains a multi-phase training on gradually-increased subgraphs of all vertices, proactively reducing large-scale problems to smaller ones to solve in steps, providing an efficient solution for MaxCut. Specifically, some vertices and corresponding edges are randomly selected for training to obtain optimized parameters of the quantum circuit at first. Then, in each incremental phase, the remaining vertices and corresponding edges are gradually added and the parameters obtained from the previous phase are reused in the parameter initialization of the current phase. We perform experiments on 120 different small-scale graphs, and it shows that QPIL performs superior to prevalent quantum and classical baselines in terms of approximation ratio(AR), time cost, anti-forgetting, and solving stability. In particular, QPIL's AR surpasses 20% of mainstream quantum baselines, and the time cost is less than 1/5 of them. The idea of QPIL is expected to inspire efficient and high-quality solutions in large-scale Max Cut and other combinatorial optimization problems.

关键词： variational quantum algorithm incremental learning multi-phase training MaxCut quantum computing

The gut-eye axis:from brain neurodegenerative diseases to age-related macular degeneration

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Neural Regeneration Research 2025年第10期20卷 2741-2757页

作者： Qianzi Jin Suyu Wang Yujia Yao qin Jiang Keran li Department of Ophthalmology The Affiliated Eye Hospital of Nanjing Medical UniversityNanjingJiangsu ProvinceChina The Fourth School of Clinical Medicine Nanjing Medical UniversityNanjingJiangsu ProvinceChina

Age-related macular degeneration is a serious neurodegenerative disease of the retina that significantly impacts ***,the specific pathogenesis remains unclear,and effective early treatment options are consequently *** microbiome is defined as a large ecosystem of microorganisms living within and coexisting with a *** intestinal microbiome undergoes dynamic changes owing to age,diet,genetics,and other *** dysregulation of the intestinal flora can disrupt the microecological balance,resulting in immunological and metabolic dysfunction in the host,and affecting the development of many *** recent decades,significant evidence has indicated that the intestinal flora also influences systems outside of the digestive tract,including the ***,several studies have demonstrated the critical role of the gut-brain axis in the development of brain neurodegenerative diseases,including Alzheimer’s disease and Parkinson’s ***,the role of the“gut-eye axis”has been confirmed to play a role in the pathogenesis of many ocular ***,age-related macular degeneration and many brain neurodegenerative diseases have been shown to share several risk factors and to exhibit comparable *** such,the intestinal flora may play an important role in age-related macular *** the above context,the present review aims to clarify the gut-brain and gut-eye connections,assess the effect of intestinal flora and metabolites on age-related macular degeneration,and identify potential diagnostic markers and therapeutic ***,direct research on the role of intestinal flora in age-related macular degeneration is still relatively limited,while studies focusing solely on intestinal flora are insufficient to fully elucidate its functional role in age-related macular ***-on-a-chip technology has shown promise in clarifying the gut-eye interactions,while integrating analysis of the inte

关键词： age-related macular degeneration biological agents blinding eye disease dietary nutrition fecal microbial transplantation gut-eye axis intestinal flora metabolite microecology neurodegenerative disease

Enhancing m^(6)A modification in the motor cortex facilitates corticospinal tract remodeling after spinal cord injury

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Neural Regeneration Research 2025年第6期20卷 1749-1763页

作者： Tian qin Yuxin Jin Yiming qin Feifei Yuan Hongbin Lu Jianzhong Hu Yong Cao Chengjun li Department of Spine Surgery and Orthopedics Xiangya HospitalCentral South UniversityChangshaHunan ProvinceChina Key Laboratory of Organ Injury Aging and Regenerative Medicine of Hunan ProvinceChangshaHunan ProvinceChina National Clinical Research Center for Geriatric Disorders Xiangya HospitalCentral South UniversityChangshaHunan ProvinceChina Department of Sports Medicine Xiangya HospitalCentral South UniversityChangshaHunan ProvinceChina

Spinal cord injury typically causes corticospinal tract disruption. Although the disrupted corticospinal tract can self-regenerate to a certain degree, the underlying mechanism of this process is still unclear. N6-methyladenosine(m^(6)A) modifications are the most common form of epigenetic regulation at the RNA level and play an essential role in biological processes. However, whether m^(6)A modifications participate in corticospinal tract regeneration after spinal cord injury remains unknown. We found that expression of methyltransferase 14 protein(METTL14) in the locomotor cortex was high after spinal cord injury and accompanied by elevated m^(6)A levels. Knockdown of Mettl14 in the locomotor cortex was not favorable for corticospinal tract regeneration and neurological recovery after spinal cord injury. Through bioinformatics analysis and methylated RNA immunoprecipitation-quantitative polymerase chain reaction, we found that METTL14 regulated Trib2 expression in an m^(6)A-regulated manner, thereby activating the mitogen-activated protein kinase pathway and promoting corticospinal tract regeneration. Finally, we administered syringin, a stabilizer of METTL14, using molecular docking. Results confirmed that syringin can promote corticospinal tract regeneration and facilitate neurological recovery by stabilizing METTL14. Findings from this study reveal that m^(6)A modification is involved in the regulation of corticospinal tract regeneration after spinal cord injury.

关键词： corticospinal tract remodeling epigenetic regulations locomotor cortex m^(6)A modification methyltransferase 14 protein(METTL14) mitogen-activated protein kinase neural regeneration spinal cord injury syringin TRIB2

Persistent alterations in gray matter in COVID-19 patients experiencing sleep disturbances:a 3-month longitudinal study

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Neural Regeneration Research 2025年第10期20卷 3013-3024页

作者： Kaixuan Zhou Gaoxiong duan Ying liu Bei Peng Xiaoyan Zhou lixia qin lingyan liang Yichen Wei qingping Zhang Xiaocheng li Haixia qin Yinqi Lai Yian Lu Yan Zhang Jiazhu Huang Jinli Huang Yinfei Ouyang Bolin Bin Mingming Zhao Jun liu Jianrong Yang Demao Deng Guangxi Key Laboratory of Special Biomedicine School of MedicineGuangxi UniversityNanningGuangxi Zhuang Autonomous RegionChina Department of Radiology the People’s Hospital of Guangxi Zhuang Autonomous RegionGuangxi Academy of Medical SciencesNanningGuangxi Zhuang Autonomous RegionChina Department of Sleep Medicine the People’s Hospital of Guangxi Zhuang Autonomous RegionNanningGuangxi Zhuang Autonomous RegionChina Department of Radiology The Second Xiangya HospitalCentral South UniversityChangshaHunan ProvinceChina Guangxi Clinical Research Center for Sleep Medicine the People’s Hospital of Guangxi Zhuang Autonomous RegionNanningGuangxi Zhuang Autonomous RegionChina

Sleep disturbances are among the most prevalent neuropsychiatric symptoms in individuals who have recovered from severe acute respiratory syndrome coronavirus 2 *** studies have demonstrated abnormal brain structures in patients with sleep disturbances who have recovered from coronavirus disease 2019(COVID-19).However,neuroimaging studies on sleep disturbances caused by COVID-19 are scarce,and existing studies have primarily focused on the long-term effects of the virus,with minimal acute phase *** a result,little is known about the pathophysiology of sleep disturbances in the acute phase of *** address this issue,we designed a longitudinal study to investigate whether alterations in brain structure occur during the acute phase of infection,and verified the results using 3-month follow-up data.A total of 26 COVID-19 patients with sleep disturbances(aged 51.5±13.57 years,8 women and 18 men),27 COVID-19 patients without sleep disturbances(aged 47.33±15.98 years,9 women and 18 men),and 31 age-and gender-matched healthy controls(aged 49.19±17.51 years,9 women and 22 men)were included in this *** COVID-19 patients with sleep disturbances were included in a longitudinal *** found that COVID-19 patients with sleep disturbances exhibited brain structural changes in almost all brain *** cortical thicknesses of the left pars opercularis and left precuneus were significantly negatively correlated with Pittsburgh Sleep Quality Index ***,we observed changes in the volume of the hippocampus and its subfield regions in COVID-19 patients compared with the healthy *** 3-month follow-up data revealed indices of altered cerebral structure(cortical thickness,cortical grey matter volume,and cortical surface area)in the frontal-parietal cortex compared with the baseline in COVID-19 patients with sleep *** findings indicate that the sleep disturbances patients had altered morphology in the cortical an

关键词： brain structure cortical gray matter volume cortical surface area cortical thickness hippocampus magnetic resonance imaging Pittsburgh Sleep Quality Index severe acute respiratory syndrome coronavirus 2 infections sleep disturbances sub-cortical volume

Activation of adult endogenous neurogenesis by a hyaluronic acid collagen gel containing basic fibroblast growth factor promotes remodeling and functional recovery of the injured cerebral cortex

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Neural Regeneration Research 2025年第10期20卷 2923-2937页

作者： Yan li Peng Hao Hongmei duan Fei Hao Wen Zhao Yudan Gao Zhaoyang Yang Kwok-Fai So Xiaoguang li Department of Neurobiology School of Basic Medical SciencesCapital Medical UniversityBeijingChina China Rehabilitation Science Institute China Rehabilitation Research CenterBeijing Key Laboratory of Neural Injury and RehabilitationBeijingChina Center of Neural Injury and Repair Beijing Institute for Brain DisordersBeijingChina Beijing Key Laboratory for Biomaterials and Neural Regeneration School of Engineering MedicineBeihang UniversityBeijingChina Guangdong-HongKong-Macao Institute of CNS Regeneration Ministry of Education CNS Regeneration Collaborative Joint LaboratoryJinan UniversityGuangzhouGuangdong ProvinceChina Bioland Laboratory(Guangzhou Regenerative Medicine and Health Guangdong Laboratory) GuangzhouGuangdong ProvinceChina Department of Ophthalmology and State Key Laboratory of Brain and Cognitive Sciences The University of Hong KongHong Kong Special Administration RegionChina Center for Brain Science and Brain-Inspired Intelligence Guangdong-HongKong-Macao Greater Bay AreaGuangzhouGuangdong ProvinceChina Co-innovation Center of Neuroregeneration Nantong UniversityNantongJiangsu ProvinceChina Department of Biomedical Engineering School of Biological Science and Medical EngineeringBeihang UniversityBeijingChina

The presence of endogenous neural stem/progenitor cells in the adult mammalian brain suggests that the central nervous system can be repaired and regenerated after ***,whether it is possible to stimulate neurogenesis and reconstruct cortical layers II to VI in non-neurogenic regions,such as the cortex,remains *** this study,we implanted a hyaluronic acid collagen gel loaded with basic fibroblast growth factor into the motor cortex immediately following traumatic *** findings reveal that this gel effectively stimulated the proliferation and migration of endogenous neural stem/progenitor cells,as well as their differentiation into mature and functionally integrated ***,these new neurons reconstructed the architecture of cortical layers II to VI,integrated into the existing neural circuitry,and ultimately led to improved brain *** findings offer novel insight into potential clinical treatments for traumatic cerebral cortex injuries.

关键词： adult endogenous neurogenesis basic fibroblast growth factor-hyaluronic acid collagen gel cortical remodeling functional recovery migration motor cortex injury neural circuits neural stem cells newborn neurons proliferation

Non-coding RNAs in acute ischemic stroke:from brain to periphery

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Neural Regeneration Research 2025年第1期20卷 116-129页

作者： Shuo li Zhaohan Xu Shiyao Zhang Huiling Sun Xiaodan qin lin Zhu Teng Jiang Junshan Zhou Fuling Yan Qiwen Deng Department of Neurology Nanjing First HospitalNanjing Medical UniversityNanjingJiangsu ProvinceChina Department of Neurology Zhongda HospitalSchool of MedicineSoutheast UniversityNanjingJiangsu ProvinceChina General Clinical Research Center Nanjing First HospitalNanjing Medical UniversityNanjingJiangsu ProvinceChina

Acute ischemic stroke is a clinical emergency and a condition with high morbidity,mortality,and *** predictive,diagnostic,and prognostic biomarkers and effective therapeutic targets for acute ischemic stroke remain *** innovations in high-throughput gene sequencing analysis,many aberrantly expressed non-coding RNAs(ncRNAs)in the brain and peripheral blood after acute ischemic stroke have been found in clinical samples and experimental *** expressed ncRNAs in the post-stroke brain were demonstrated to play vital roles in pathological processes,leading to neuroprotection or deterioration,thus ncRNAs can serve as therapeutic targets in acute ischemic ***,distinctly expressed ncRNAs in the peripheral blood can be used as biomarkers for acute ischemic stroke prediction,diagnosis,and *** particular,ncRNAs in peripheral immune cells were recently shown to be involved in the peripheral and brain immune response after acute ischemic *** this review,we consolidate the latest progress of research into the roles of ncRNAs(microRNAs,long ncRNAs,and circular RNAs)in the pathological processes of acute ischemic stroke–induced brain damage,as well as the potential of these ncRNAs to act as biomarkers for acute ischemic stroke prediction,diagnosis,and *** from this review will provide novel ideas for the clinical application of ncRNAs in acute ischemic stroke.

关键词： acute ischemic stroke apoptosis blood–brain barrier damage circular RNAs excitatory toxicity long non-coding RNAs microRNAs neuroinflammation non-coding RNAs oxidative stress

Detection of an anti-angina therapeutic module in the effective population treated by a multi-target drug Danhong injection:a randomized trial

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Signal Transduction and Targeted Therapy 2021年第10期6卷 3009-3018页

作者： Jun liu Dan-Dan li Wei Dong Yu-Qi liu Yang Wu Da-Xuan Tang Fu-Chun Zhang Meng Qiu Qi Hua Jing-Yu He Jun li Bai Du Ting-Hai Du lin-lin Niu Xue-Jun Jiang Bo Cui Jiang-Bin Chen Yang-Gan Wang Hai-Rong Wang qin Yu Jing He Yi-lin Mao Xiao-Fang Bin Yue Deng Yu-Dan Tian qing-Hua Han Da-Jin liu li-qin duan Ming-Jun Zhao Cui-Ying Zhang Hai-Ying Dai Ze-Hua li Ying Xiao You-Zhi Hu Xiao-Yu Huang Kun Xing Xin Jiang Chao-Feng liu Jing An Feng-Chun li Tao Tao Jin-Fa Jiang Ying Yang Yao-Rong Dong Lei Zhang Guang Fu Ying li Shu-Wei Huang li-Ping Dou Lan-Jun Sun Ying-Qiang Zhao Jie li Yun Xia Jun liu Fan liu Wen-Jin He Ying li Jian-Cong Tan Yang lin Ya-Bin Zhou Jian-Fei Yang Guo-qing Ma Hui-Jun Chen He-Ping liu Zong-Wu liu Jian-Xiong liu Xiao-Jia Luo Xiao-Hong Bin Ya-Nan Yu Hai-Xia Dang Bing li Fei Teng Wang-Min Qiao Xiao-Long Zhu Bing-Wei Chen Qi-Guang Chen Chun-Ti Shen Yong-Yan Wang Yun-Dai Chen Zhong Wang Institute of Basic Research in Clinical Medicine China Academy of Chinese Medical SciencesBeijingChina Department of Cardiology Chinese PLA General HospitalBeijingChina Department of Cardiology Dongfang Hospital Affiliated to Beijing University of Chinese MedicineBeijingChina Department of Geratology Peking University Third HospitalBeijingChina Department of Cardiology Xuan Wu HospitalCapital Medical UniversityBeijingChina Department of Cardiology Guang'anmen HospitalChina Academy of Chinese Medical SciencesBeijingChina Department of Cardiology First Affiliated Hospital of Henan University of Chinese MedicineZhengzhouHenanChina Department of Cardiology Wuhan University Renmin HospitalWuhanHubeiChina Department of Cardiology Wuhan University Zhongnan HospitalWuhanHubeiChina Affiliated Zhongshan Hospital of Dalian University DalianLiaoningChina Department of Cardiology Second Affiliated Hospital to Hunan University of Chinese MedicineChangshaHunanChina Department of Cardiology First Affiliated Hospital to Changchun University of Chinese MedicineChangchunJilinChina Department of Cardiology First Affiliated Hospital to Shanxi Medical UniversityTaiyuanShanxiChina Department of Cardiology Affiliated Hospital of Shanxi University of Chinese MedicineXianyangShanxiChina Department of Cardiology Changsha Central HospitalChangshaHunanChina Department of Cardiology Hubei Provincial Hospital of Traditional Chinese MedicineWuhanHubeiChina Department of Cardiology Shanxi Provincial People's HospitalXi'anShanxiChina Department of Cardiology Shanxi Province Hospital of Traditional Chinese MedicineXi'anShanxiChina Department of Cardiology Xi'an City Hospital of Traditional Chinese MedicineXi'anShanxiChina Department of Cardiology Shanghai Tongji HospitalShanghaiChina Department of Cardiology Shanghai Municipal Hospital of Traditional Chinese MedicineShanghaiChina Department of Cardiology The First Hospital of ChangshaChangshaHunanChina Department of Cardiology Xinhua Hospi

It's a challenge for detecting the therapeutic targets of a polypharmacological drug from variations in the responsed networks in thedfferentiated populations with complex diseases,as stable coronary heart ***,in an adaptive,31-center,randomized,double-blind trial invoving 920 patients with moderate symptomatic stable angina treated by 14-day Danhong injection(DHI),a kind of polyphamacological drug with high quality control,or placebo(0.9%saline),with 76-day following-up,we firstly confrmed that DHl couldincrease the proportion of patients with clinically significant changes on angina-frequency assessed by Seattle Angina Questionnaire(ASAQ-AF220)(12.78%at Day 30,95%confidence interval[C]5.86-19.71%,P=0.0003,13.82%at Day 6C0,95%CI 6.82-20.82%,P=0.0001and 8.95%at Day 90,95%CI 2.06-15.85%,P=0.01).We also found that there were no significant differences in new-onset major vascularevents(P=0.8502)and serious adverse events(P=0.9105)between DHl and *** performing the RNA sequencing in 62 selectedpatients,we developed a systemic modular approach tp identfy differentilly expressed modules(DEMs)of DHI with the Z_(summay)valueless than 0 compared with the control group,calculated by weighted gene co-expression network analysis(WGCNA),and sketched out thebasic framework on a modular map with 25 functional modules targeted by ***,the effective therapeutic module(ETM),defined as the highest corelation value with the phenotype alteration(SAQ-AF,the change in SAQ-AF at Day 30 from baseline)calculatedby WGCNA,was identifed in the population with the best effect(ASAQ-AF240),which is related to anticoagulation and regulation ofcholesterol *** assessed the modular flexbility of this ETM using the global topological D value based on Euclidean distance,which is corelated with phenotype alteration(r^(2):0.8204,P=0.019)by linear *** study identified the ant-angina therapeuticmodule in the effective population treated by the multi-target

关键词： angina injection sketch

Peripheral mitochondrial DNA as a neuroinflammatory biomarker for major depressive disorder

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Neural Regeneration Research 2025年第6期20卷 1541-1554页

作者： Jinmei Ye Cong duan Jiaxin Han Jinrong Chen Ning Sun Yuan li Tifei Yuan Daihui Peng Division of Mood Disorder Shanghai Mental Health CenterShanghai Jiao Tong University School of MedicineShanghaiChina Department of Psychiatry First Hospital of Shanxi Medical UniversityTaiyuanShanxi ProvinceChina Shanghai Key Laboratory of Psychotic Disorders Brain Health InstituteNational Center for Mental DisordersShanghai Mental Health CenterShanghai Jiao Tong University School of MedicineShanghaiChina Co-Innovation Center of Neuroregeneration Nantong UniversityNantongJiangsu ProvinceChina

In the pathogenesis of major depressive disorder, chronic stress-related neuroinflammation hinders favorable prognosis and antidepressant response. Mitochondrial DNA may be an inflammatory trigger, after its release from stress-induced dysfunctional central nervous system mitochondria into peripheral circulation. This evidence supports the potential use of peripheral mitochondrial DNA as a neuroinflammatory biomarker for the diagnosis and treatment of major depressive disorder. Herein, we critically review the neuroinflammation theory in major depressive disorder, providing compelling evidence that mitochondrial DNA release acts as a critical biological substrate, and that it constitutes the neuroinflammatory disease pathway. After its release, mitochondrial DNA can be carried in the exosomes and transported to extracellular spaces in the central nervous system and peripheral circulation. Detectable exosomes render encaged mitochondrial DNA relatively stable. This mitochondrial DNA in peripheral circulation can thus be directly detected in clinical practice. These characteristics illustrate the potential for mitochondrial DNA to serve as an innovative clinical biomarker and molecular treatment target for major depressive disorder. This review also highlights the future potential value of clinical applications combining mitochondrial DNA with a panel of other biomarkers, to improve diagnostic precision in major depressive disorder.

关键词： biomarker cytokine exosomes inflammasome major depressive disorder microglia mitochondrial DNA mitochondrial dysfunction neuroinflammation Toll-like receptor