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The symmetric space,strong isotropy irreducibility and equigeodesic properties

Science China Mathematics 2024年第1期67卷 129-148页

作者： Ming Xu Ju tan School of Mathematical Sciences Capital Normal UniversityBeijing 100048China School of Microelectronics and Data Science Anhui University of TechnologyMa'anshan 243032China

A smooth curve on a homogeneous manifold G/H is called a Riemannian equigeodesic if it is a homogeneous geodesic for any G-invariant Riemannian metric.The homogeneous manifold G/H is called Riemannian equigeodesic,if for any x∈G/H and any nonzero y∈Tx(G/H),there exists a Riemannian equigeodesic c(t) with c(0)=x and ■(0)=y.These two notions can be naturally transferred to the Finsler setting,which provides the definitions for Finsler equigeodesics and Finsler equigeodesic spaces.We prove two classification theorems for Riemannian equigeodesic spaces and Finsler equigeodesic spaces,respectively.Firstly,a homogeneous manifold G/H with a connected simply connected quasi compact G and a connected H is Riemannian equigeodesic if and only if it can be decomposed as a product of Euclidean factors and compact strongly isotropy irreducible factors.Secondly,a homogeneous manifold G/H with a compact semisimple G is Finsler equigeodesic if and only if it can be locally decomposed as a product,in which each factor is Spin(7)/G2,G2/SU (3) or a symmetric space of compact type.These results imply that the symmetric space and the strongly isotropy irreducible space of compact type can be interpreted by equigeodesic properties.As an application,we classify the homogeneous manifold G/H with a compact semisimple G such that all the G-invariant Finsler metrics on G/H are Berwald.It suggests a new project in homogeneous Finsler geometry,i.e.,to systematically study the homogeneous manifold G/H on which all the G-invariant Finsler metrics satisfy a certain geometric property.

关键词： equigeodesic equigeodesic space flag manifold orbit type stratification symmetric space strongly isotropy irreducible space

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Left-Invariant Minimal Unit Vector Fields on the Solvable Lie Group

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Chinese Annals of Mathematics,Series B 2023年第1期44卷 67-80页

作者： Shaoxiang ZHANG Ju tan College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590ShandongChina School of Microelectronics and Data Science Anhui University of TechnologyMaanshan 243032AnhuiChina

Bozek(1980)has introduced a class of solvable Lie groups Gn with arbitrary odd dimension to construct irreducible generalized symmetric Riemannian space such that the identity component of its full isometry group is solvable.In this article,the authors provide the set of all left-invariant minimal unit vector fields on the solvable Lie group Gn,and give the relationships between the minimal unit vector fields and the geodesic vector fields,the strongly normal unit vectors respectively.

关键词： Solvable Lie groups Lagrangian multiplier method Minimal unit vector fields Geodesic vector fields Strongly normal unit vectors

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Isoparametric Hypersurfaces Induced by Navigation in Lorentz Finsler Geometry

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Acta Mathematica Sinica,English Series 2023年第8期39卷 1547-1564页

作者： Ming XU Ju tan Na XU School of Mathematical Sciences Capital Normal UniversityBeijing 100048P.R.China School of Microelectronics and Data Science Anhui University of TechnologyMaanshan 243032P.R.China

Using a navigation process with the datum(F,V),in which F is a Finsler metric and the smooth tangent vector field V satisfies F(−V(x))>1 everywhere,a Lorentz Finsler metric F˜can be induced.Isoparametric functions and isoparametric hypersurfaces with or without involving a smooth measure can be defined for F˜.When the vector field V in the navigation datum is homothetic,we prove the local correspondences between isoparametric functions and isoparametric hypersurfaces before and after this navigation process.Using these correspondences,we provide some examples of isoparametric functions and isoparametric hypersurfaces on a Funk space of Lorentz Randers type.

关键词： Finsler metric homothetic vector field isoparametric function isoparametric hypersurface Lorentz Finsler metric Zermelo navigation

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COVID-19 pandemic amplified mortality rates among adolescents with bipolar disorder through family-related factors

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World Journal of Clinical Cases 2024年第11期12卷 1929-1935页

作者： Zhuo-Fan Ye Yi-Han Hong Jian-Lin Yang Meng-Qing tan ju-Min Xie Zu-Cai Xu Department of Neurology The Affiliated Hospital of Zunyi Medical UniversityZunyi 563000Guizhou ProvinceChina Hubei Key Laboratory of Renal Disease Occurrence and Intervention Medical SchoolHubei Polytechnic UniversityHuangshi 435003Hubei ProvinceChina Psychological Children's Ward Mental Health Center of HuangshiHuangshi 435111Hubei ProvinceChina The Collaborative Innovation Center of Tissue Damage Repair and Regeneration Medicine Zunyi Medical UniversityZunyi 563000Guizhou ProvinceChina

BACKGROUND Recently,a growing number of adolescents have been afflicted with mental disorders,with annual morbidity rates on the rise.This trend has been exacerbated by the global coronavirus disease 2019(COVID-19)pandemic,leading to a surge in suicide and self-harm rates among this demographic.AIM To investigate the impact of the COVID-19 pandemic on adolescent bipolar disorder(BD),along with the underlying factors contributing to heightened rates of suicide and self-harm among adolescents.METHODS A comprehensive statistical analysis was conducted utilizing clinical interviews and self-reports obtained from patients or their guardians.Diagnostic criteria for BDs were based on the Diagnostic and statistical manual of mental disorders,international classification of diseases-11,and the National institute of mental health research domain criteria.Statistical analyses were performed using SPSS 26.0 software,with significance set at P<0.05.RESULTS A cohort of 171 adolescents diagnosed with BD between January 1,2018,and December 31,2022,was included in the analysis.The gender distribution was 2.8:1(female to male),with ages ranging from 11 to 18 years old.Major factors contributing to adolescent BDs included familial influences,academic stress,genetic predisposition and exposure to school-related violence.Notably,a significant increase in suicide attempts and self-harm incidents was observed among adolescents with BD during the COVID-19 pandemic.Statistical analysis indicated that the pandemic exacerbated familial discord and heightened academic stress,thereby amplifying the prevalence of suicidal behavior and self-harm among adolescents.CONCLUSION The COVID-19 pandemic has exacerbated familial tensions and intensified the incidence of suicide and self-harm among adolescents diagnosed with BD.This study underscores the urgent need for societal,familial and educational support systems to prioritize the well-being of adolescents and offers valuable insights and guidelines for the prevention,diagnosis and treatment of ad

关键词： Adolescents Bipolar disorder COVID-19 Suicide Self-harm

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The combined application of stem cells and three-dimensional bioprinting scaffolds for the repair of spinal cord injury

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Neural Regeneration Research 2024年第8期19卷 1751-1758页

作者： Dingyue ju Chuanming Dong Department of Anatomy Medical College of Nantong UniversityNantongJiangsu ProvinceChina Key Laboratory of Neuroregeneration of Jiangsu and Ministry of Education Co-innovation Center of NeuroregenerationNantong UniversityNantongJiangsu ProvinceChina

Spinal cord injury is considered one of the most difficult injuries to repair and has one of the worst prognoses for injuries to the nervous system.Following surgery,the poor regenerative capacity of nerve cells and the generation of new scars can make it very difficult for the impaired nervous system to restore its neural functionality.Traditional treatments can only alleviate secondary injuries but cannot fundamentally repair the spinal cord.Consequently,there is a critical need to develop new treatments to promote functional repair after spinal cord injury.Over recent years,there have been seve ral developments in the use of stem cell therapy for the treatment of spinal cord injury.Alongside significant developments in the field of tissue engineering,three-dimensional bioprinting technology has become a hot research topic due to its ability to accurately print complex structures.This led to the loading of three-dimensional bioprinting scaffolds which provided precise cell localization.These three-dimensional bioprinting scaffolds co uld repair damaged neural circuits and had the potential to repair the damaged spinal cord.In this review,we discuss the mechanisms underlying simple stem cell therapy,the application of different types of stem cells for the treatment of spinal cord injury,and the different manufa cturing methods for three-dimensional bioprinting scaffolds.In particular,we focus on the development of three-dimensional bioprinting scaffolds for the treatment of spinal cord injury.

关键词： biomaterials embryonic stem cells induced pluripotent stem cells mesenchymal stem cells nerve regeneration spinal cord injury stem cell therapy stem cells three-dimensional bioprinting

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An orally-available monovalent SMAC mimetic compound as a broad-spectrum antiviral

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Protein & Cell 2024年第1期15卷 69-75页

作者： Miao Mei Maria_Antonietta Impagnatiello jun Jiao Ulrich Reiser Ulrike Tontsch-Grunt ju Zhang Paul Nicklin Bingke Yu Yu Wang Yuan He Xu tan Tsinghua-Peking Center for Life Sciences Beijing Advanced Innovation Center for Structural BiologyBeijing Frontier Research Center for Biological StructureMOE Key Laboratory of Bioorganic Phosphorus Chemistry and Chemical BiologySchool of Pharmaceutical SciencesTsinghua UniversityBeijing 100084China Chinese Institutes for Medical Research Beijing 100069China Boehringer Ingelheim RCV GmbH&Co KG ViennaAustria College of Life Sciences and Oceanography Shenzhen UniversityShenzhen 518060China Research Beyond Borders Boehringer IngelheimBiberach an der RissGermany Research Beyond Borders Boehringer IngelheimShanghai 200120China

DearEditor,The coronavirus disease 2019(COVID-19)pandemic caused great global morbidity and mortality concurrent with astronomical socioeconomic damages and losses.Until now,the culpable pathogen,SARS-CoV-2,has infected over 6 hundred million people resulting in more than 6 million deaths worldwide(WHO SARSCoV-2 cases).There is an urgent need for rapid development of effective and affordable therapeutics for COVID-19 patients.

关键词： mortality spectrum compound

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Pharmacological Effects of Botanical Drugs on Myocardial Metabolism in Chronic Heart Failure

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Chinese Journal of Integrative Medicine 2024年第5期30卷 458-467页

作者： HU Yu-xuan QIU Sheng-lei SHANG ju-ju WANG Zi LAI Xiao-lei Beijing Hospital of Traditional Chinese Medicine Capital Medical UniversityBeijing 100010China

Although there have been significant advances in the treatment of heart failure in recent years,chronic heart failure remains a leading cause of cardiovascular disease-related death.Many studies have found that targeted cardiac metabolic remodeling has good potential for the treatment of heart failure.However,most of the drugs that increase cardiac energy are still in the theoretical or testing stage.Some research has found that botanical drugs not only increase myocardial energy metabolism through multiple targets but also have the potential to restore the balance of myocardial substrate metabolism.In this review,we summarized the mechanisms by which botanical drugs(the active ingredients/formulas/Chinese patent medicines)improve substrate utilization and promote myocardial energy metabolism by activating AMP-activated protein kinase(AMPK),peroxisome proliferator-activated receptors(PPARs)and other related targets.At the same time,some potential protective effects of botanical drugs on myocardium,such as alleviating oxidative stress and dysbiosis signaling,caused by metabolic disorders,were briefly discussed.

关键词： botanical drugs chronic heart failure myocardial metabolism pharmacological effects review

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On convergence of covariance matrix of empirical Bayes hyper-parameter estimator

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Control Theory and Technology 2024年第2期22卷 149-162页

作者： Yue ju Biqiang Mu Tianshi Chen School of Data Science and Shenzhen Research Institute of Big Data The Chinese University of Hong KongShenzhenShenzhen518172GuangdongChina Division of Decision and Control Systems School of Electrical Engineering and Computer ScienceKTH Royal Institute of Technology10044StockholmSweden Key Laboratory of Systems and Control Institute of Systems ScienceAcademy of Mathematics and System ScienceChinese Academy of SciencesBeijing100190China

Regularized system identification has become the research frontier of system identification in the past decade.One related core subject is to study the convergence properties of various hyper-parameter estimators as the sample size goes to infinity.In this paper,we consider one commonly used hyper-parameter estimator,the empirical Bayes(EB).Its convergence in distribution has been studied,and the explicit expression of the covariance matrix of its limiting distribution has been given.However,what we are truly interested in are factors contained in the covariance matrix of the EB hyper-parameter estimator,and then,the convergence of its covariance matrix to that of its limiting distribution is required.In general,the convergence in distribution of a sequence of random variables does not necessarily guarantee the convergence of its covariance matrix.Thus,the derivation of such convergence is a necessary complement to our theoretical analysis about factors that influence the convergence properties of the EB hyper-parameter estimator.In this paper,we consider the regularized finite impulse response(FIR)model estimation with deterministic inputs,and show that the covariance matrix of the EB hyper-parameter estimator converges to that of its limiting distribution.Moreover,we run numerical simulations to demonstrate the efficacy of ourtheoretical results.

关键词： Regularized system identification Hyper-parameter estimator Empirical Bayes Convergence of covariance matrix

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Design of multifunctional polymeric binders in silicon anodes for lithium‐ion batteries

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Carbon Energy 2024年第4期6卷 140-163页

作者： Masytha Nuzula Ramdhiny ju‐Won Jeon Department of Chemistry Kookmin UniversitySeoulRepublic of Korea Correspondence

Silicon(Si)is a promising anode material for lithium‐ion batteries(LIBs)owing to its tremendously high theoretical storage capacity(4200 mAh g−1),which has the potential to elevate the energy of LIBs.However,Si anodes exhibit severe volume change during lithiation/delithiation processes,resulting in anode pulverization and delamination with detrimental growth of solid electrolyte interface layers.As a result,the cycling stability of Si anodes is insufficient for commercialization in LIBs.Polymeric binders can play critical roles in Si anodes by affecting their cycling stability,although they occupy a small portion of the electrodes.This review introduces crucial factors influencing polymeric binders'properties and the electrochemical performance of Si anodes.In particular,we emphasize the structure–property relationships of binders in the context of molecular design strategy,functional groups,types of interactions,and functionalities of binders.Furthermore,binders with additional functionalities,such as electrical conductivity and self‐healability,are extensively discussed,with an emphasis on the binder design principle.

关键词： conductivity lithium‐ion batteries molecular interactions polymeric binders self‐healability Si anodes

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Proposition of atomic and close-to-atomic scale manufacturing

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Advances in Manufacturing 2024年第1期12卷 1-5页

作者： ju‑Fan Zhang Jens Ducree School of Mechanical and Materials Engineering University College DublinDublin 4Ireland School of Physical Sciences Dublin City UniversityDublinIreland

Atomic and close-to-atomic scale manufacturing(ACSM)is the core competence of Manufacturing III.Unlike other conceptions or terminologies that only focus on the atomic level precision,ACSM defnes a new realm of manufacturing where quantum mechanics plays the dominant role in the atom/molecule addition,migration and removal,considering the uncertainty principle and the discrete nature of particles.As ACSM is still in its infant stage,only little has been systematically elaborated at the core proposition of ACSM by now,hence there is a need to understand its concept and vision.This article elucidates the development of ACSM and clarifes its proposition,which aims to achieve a clearer understanding on ACSM and direct more efective eforts toward this promising area.

关键词： Atomic and close-to-atomic scale manufacturing(ACSM) Atomic Precision Manufacturing Paradigm Manufacturing III

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