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Boundary Regularity for k-Hessian Equations

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Acta Mathematica Sinica,English Series 2023年第12期39卷 2393-2413页

作者： You LI Meng Ni LI yan nan liu School of Mathematics and Computational Sciences Xiangtan UniversityHunan 411105P.R.China School of Mathematics Southeast UniversityNanjing 211189P.R.China School of Mathematics and Statistics Beijing Technology and Business UniversityBeijing 100048P.R.China

In this paper we focus on the boundary regularity for a class of k-Hessian equations which can be degenerate and(or)singular on the boundary of the *** by the case of Monge-Ampere equations,we first construct sub-solutions,then apply the characteristic of the global Holder continuity for convex functions,and finally use the maximum principle to obtain the boundary Holder continuity for the solutions of the k-Hessian ***,finding such sub-solutions is very difficult due to the complexity of the k-Hessian *** particular,we employ the symmetric mean to overcome the difficulties.

关键词： Dirichlet problem k-Hessian equation symmetric mean

Evolution of hypersurfaces by the mean curvature minus an external force field

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Science China Mathematics 2007年第2期50卷 231-239页

作者： yan-nan liu Huai-yu JIAN Department of Mathematical Sciences Tsinghua UniversityBeijing 100084China

In this paper, we study the evolution of hypersurface moving by the mean curvature minus an external force field. It is shown that the flow will blow up in a finite time if the mean curvature of the initial surface is larger than some constant depending on the boundness of derivatives of the external force field. For a linear force, we prove that the convexity of the hypersurface is preserved during the evolution and the flow has a unique smooth solution in any finite time and expands to infinity as the time tends to infinity if the initial curvature is smaller than the slope of the force.

关键词： parabolic equation mean curvature flow maximum principle (for tensor) 35K45 53A05

Boosting cationic and anionic redox activity of Li-rich layered oxide cathodes via Li/Ni disordered regulation

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Journal of Energy Chemistry 2025年第1期100卷 533-543页

作者： Zewen liu Zhen Wu Hao Wang Xudong Zhang Yuanzhen Chen Yongning liu Shengwu Guo Shenghua Chen yanli nan yan liu State Key Laboratory for Mechanical Behavior of Materials Xi'an Jiaotong University School of Materials Science and Engineering Xi'an University of Architecture and Technology Hefei Advanced Computing Center Operation Management Corp Ltd Network Information Center Xi'an Jiaotong University

Lithium-rich layered oxides （LLOs） are increasingly recognized as promising cathode materials for nextgeneration high-energy-density lithium-ion batteries （LIBs）.However,they suffer from voltage decay and low initial Coulombic efficiency （ICE） due to severe structural degradation caused by irreversible O ***,we introduce a three-in-one strategy of increasing Ni and Mn content,along with Li/Ni disordering and TM–O covalency regulation to boost cationic and anionic redox activity simultaneously and thus enhance the electrochemical activity of *** target material,Li1.2Ni0.168Mn0.558Co0.074O2（L1）,exhibits an improved ICE of 87.2%and specific capacity of 293.2 mA h g-1and minimal voltage decay of less than 0.53 m V cycle-1over 300 cycles at 1C,compared to Li1.2Ni0.13Mn0.54Co0.13O2（Ls）(274.4 mA h g-1for initial capacity,73.8%for ICE and voltage decay of 0.84 mV/cycle over 300 cycles at 1C).Theoretical calculations reveal that the density of states （DOS） area near the Fermi energy level for L1 is larger than that of Ls,indicating higher anionic and cationic redox reactivity than ***,L1 exhibits increased O-vacancy formation energy due to higher Li/Ni disordering of 4.76%（quantified by X-ray diffraction Rietveld refinement） and enhanced TM–O covalency,making lattice O release more difficult and thus improving electrochemical *** increased Li/Ni disordering also leads to more Ni2+presence in the Li layer,which acts as a pillar during Li+de-embedding,improving structural *** research not only presents a viable approach to designing low-Co LLOs with enhanced capacity and ICE but also contributes significantly to the fundamental understanding of structural regulation in high-performance LIB cathodes.

关键词： Ice

Gene expression profile of amyloid beta protein-injected mouse model for Alzheimer disease

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Acta Pharmacologica Sinica 2005年第6期26卷 666-672页

作者： Ling-na KONG, Ping-ping ZUO~1, Liang MU, yan-yong liu, nan yanG Department of Pharmacology, School of Basic Medicine, Peking Union Medical College and Chinese Academy of Medical Sciences, Beijing 100005, China Department of Pharmacology School of Basic Medicine Peking Union Medical College and Chinese Academy of Medical Sciences Beijing China

Aim: To investigate the gene expression profile changes in the cerebral cortex of mice injected icv with amyloid beta-protein fragment 25-35 using cDNA microarray. Methods: Balb/c mice were randomly divided into a control group and’ A(3-treated group. The Morris water maze test was performed to detect the effect of A-injection on the learning and memory of mice. Atlas Mouse 1.2 Expression Arrays containing 1176 genes were used to investigate the gene expression pattern of each group. Results: The gene expression profiles showed that 19 genes including TBXl, NF-kB, AP-1/c-Jun, cadherin, integrin, erb-B2, and FGFRl were up-regulated after 2 weeks of icv administration of A; while 12 genes were down-regulated, including NGF, glucose phosphate isomerase 1, AT motif binding factor 1, Na~+/K~+-ATPase, and Akt. Conclusions: The results provide important leads for pursuing a more complete understanding of the molecular events of Ap-injection into mice with Alzheimer disease.

关键词： Alzheimer disease dementia amyloid betaprotein cDNA microarray

Manufacture the conducting polymer with light

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Science China Chemistry 2025年第1期68卷 8-9页

作者： yang Li Tianyu Li yan Ji Baoguang liu College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology) Nanjing University of Posts & Telecommunications

Poly(3,4-ethylenedioxythiophene) (PEDOT), heralded as the “king” of conducting polymers, is esteemed in bioelectronics for its mixed electronic and ionic conductivity, mechanical properties compatible with biological tissues, tunable healing ability and stability in diverse environments [1]. Based on additive manufacturing of three-dimensional structures,PEDOT realizes the implementation in the efficient production of flexible bioelectronics, the construction of intricate electrode-neural implantations, and the development of smart brain-computer-interfaces [2].

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Resolving the developmental mechanisms of cardiac microthrombosis of SARS-CoV-2 based on single-cell transcriptome analysis

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Science China Life Sciences 2025年第1期68卷 103-115页

作者： Xizi Luo nan Zhang Yuntao liu Beibei Du Xuan Wang Tianxu Zhao Bingqiang liu Shishun Zhao Jiazhang Qiu Guoqing Wang State Key Laboratory for Diagnosis and Treatment of Severe Zoonotic Infectious Diseases Key Laboratory for Zoonosis Research of the Ministry of EducationCollege of Basic MedicineJilin University State Key Laboratory for Diagnosis and Treatment of Severe Zoonotic Infectious Diseases Key Laboratory for Zoonosis Research of the Ministry of EducationCollege of Veterinary MedicineJilin University College of Mathematics Jilin University Bioinformatic Lab School of MathematicsShandong University Department of Cardiology China-Japan Union HospitalJilin University

The coronavirus disease 2019（COVID-19） outbreak caused by the severe acute respiratory syndrome coronavirus-2（SARS-CoV-2） developed into a global health emergency. Systemic microthrombus caused by SARS-CoV-2 infection is a common complication in patients with COVID-19. Cardiac microthrombosis as a complication of SARS-CoV-2 infection is the primary cause of cardiac injury and death in patietns with severe COVID-19. In this study, we performed single-cell sequencing analysis of the right ventricular free wall tissue from healthy donors,patients who died during the hypercoagulable period of characteristic coagulation abnormality（CAC）, and patients who died during the fibrinolytic period of CAC. We collected 61,187 cells enriched in 24 immune cell subsets and 13 cardiac-resident cell subsets. We found that in the course of SARS-CoV-2 infected heart microthrombus, MYO1EhighRASGEF1Bhighmonocyte-derived macrophages promoted hyperactivation of the immune system and initiated the extrinsic coagulation pathway by activating chemokines CCL3, CCL5. This series of events is the main cause of cardiac microthrombi following SARS-CoV-2 infection. In a SARS-CoV-2 infected heart microthrombus, excessive immune activation is accompanied by an increase in cellular iron content, which in turn promotes oxidative stress and intensifies intercellular competition. This induces cells to alter their metabolic environment, resulting in increased sugar uptake via the glycosaminoglycan synthesis pathway. In addition, high levels of reactive oxygen species generated by elevated iron levels promote increased endogenous malondialdehyde synthesis in a subpopulation of cardiac endothelial cells. This exacerbates endothelial cell dysfunction and exacerbates the coagulopathy process.

关键词： SARS-CoV-2 cardiac microthrombosis immune hyperactivation cell competition

Effect of hypoxic preconditioning on miRNA expression in ischemic cortex of mice with middle cerebral artery occlusion

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Effect of hypoxic preconditioning on miRNA expression in isc...

Revealing and predicting the long-term biomechanical response of orthokeratology by developing a patient-specific computational model

中国生理学会第23届全国会员代表大会暨生理学学术大会

作者： Cui-Ying liu,yan LU,yan-yan liu,nan ZHANG,Song HAN,Jun-Fa LI~* Department of Neurobiology and Beijing Institute for Neuroscience,Capital Medical University,Beijing 100069,China

＜正＞Objective:Ischemic/hypoxic preconditioning（I/HPC） is a phenomenon in which ischemic/hypoxic exposure protects the tissue/organ against damage caused by a subsequent ischemic/hypoxic *** cerebral I/ HPC-induced neuroprotection may provide a new strategy for treating cerebral ischemic/hypoxic injuries in clinical practice,but the molecular mechanism underlying cerebral I/HPC is *** present study is designed to indentify which miRNAs might be involved in cerebral ischemic/hypoxic injury and the development of cerebral ***:Using our established HPC and middle cerebral artery occlusion（MCAO）-induced focal cerebral ischemia mouse model,miRNA microarray was used to determine the effect of HPC on miRNA expression in ischemic penumbra of MCAO treated ***:There were 17 miRNAs with significant alterations in cerebral cortex of HPC mice,including 4 up and 13 down regulated miRNAs.65 miRNAs changed significantly in ischemic penumbra of MCAO mice,in which 26 and 39 miRNAs were up- and downregulated,*** addition,33 miRNAs were observed in ischemic penumbra of MCAO mice after HPC exposure,which includes 11 upregulation and 22 *** compared the significantly changed miRNAs in above three groups and found that let- 7g*,miR-144:9.1,miR-297a,miR-30c-2*,miR-465c-5p,miR-466a-5p,miR-466f,miR-615-3p,miR-654-5p and miR-679 were downregulated both in cerebral cortex of HPC mice and ischemic penumbra of MCAO+HPC mice, indicating the involvement of the cerebral *** cerebral cortex of HPC mice and ischemic penumbra of MCAO mice,miR-30a and miR-598 were upregulated and downregulated respectively,showing the induction of cerebral *** HPC pretreatment could relieve the downregulation of miR-134,miR-181b,miR-22*,miR-331- 3p,miR-378 and miR-665,and inhibit the upregulation of solexa-231-1844 in ischemic penumbra of MCAO mice, suggesting the key role in HPC-induced nueroprotection against cerebral ischemic ***

关键词： hypoxic preconditioning(HPC) middle cerebral artery occlusion(MCAO) microarray miRNA

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 156-168页

作者： Yifeng Li Zhuoran yang Ziming yan Huibin Shi Zhanli liu Kaijie Wang Department of Engineering Mechanics School of Aerospace Engineering Tsinghua University Beijing Tongren Eye Center Beijing Tongren Hospital Capital Medical University Beijing Ophthalmology & Visual Sciences Key Lab

Orthokeratology(OK) is widely used for effective myopia correction and control. However, the incomplete understanding of its biomechanical mechanisms makes OK lens fitting rely heavily on clinician judgment, complicating accurate predictions of treatment outcomes. In this paper, we performed clinical experiments and numerical analysis to study corneal deformation modes and long-term changes in central corneal thickness. Clinical experiments were conducted on 194 Chinese myopic patients under OK treatment for 3 months. Based on the experimental data, a patient-specific computational biomechanical model for OK was established and validated. Specifically, the anisotropic mechanical properties of the cornea were incorporated into the model to describe the significant difference between its shear modulus(29.5 kPa) and tensile modulus(768.4 kPa). Additionally, a viscohyperelastic material model with a prolonged corneal relaxation time of 5.6 h was developed to capture the long-term deformation response. The results show that corneal thickness reduction in OK is primarily due to out-of-plane shear deformation,influenced by the cornea's low shear resistance. Modeling the extended corneal relaxation time is crucial for predicting long-term biomechanical responses. The computational model effectively captures long-term changes in central corneal thickness, potentially improving OK lens fitting accuracy.

关键词： orthokeratology computational biomechanical model long-term viscoelasticity myopia correction

Engineered Cancer nanovaccines:A New Frontier in Cancer Therapy

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nano-Micro Letters 2025年第2期17卷 134-168页

作者： Yijie Wang Congrui liu Chao Fang Qiuxia Peng Wen Qin Xuebing yan Kun Zhang Central Laboratory and Department of Medical Ultrasound Sichuan Academy of Medical SciencesSichuan Provincial People’s HospitalSchool of MedicineUniversity of Electronic Science and Technology of ChinaNo.32West Second SectionFirst Ring RoadChengdu 610072People’s Republic of China Department of Stomatology and Central Laboratory School of MedicineShanghai Tenth People’s HospitalTongji UniversityNO.301 Yan‑Chang‑Zhong RoadShanghai 200072People’s Republic of China Jiangsu Provincial Innovation and Practice Base for Postdoctors Suining People’s HospitalAffiliated Hospital of Xuzhou Medical UniversityNo.2Bayi West RoadSuiningXu Zhou 221000Jiangsu ProvincePeople’s Republic of China

Vaccinations are essential for preventing and treating disease,especially cancer nanovaccines,which have gained considerable interest recently for their strong anti-tumor immune *** can prompt the immune system to generate antibodies and activate various immune cells,leading to a response against tumor tissues and reducing the negative effects and recurrence risks of traditional chemotherapy and *** enhance the flexibility and targeting of vaccines,nanovaccines utilize nanotechnology to encapsulate or carry antigens at the nanoscale level,enabling more controlled and precise drug delivery to enhance immune *** nanovaccines function by encapsulating tumor-specific antigens or tumor-associated antigens within *** small size of these nanomaterials allows for precise targeting of T cells,dendritic cells,or cancer cells,thereby eliciting a more potent anti-tumor *** this paper,we focus on the classification of carriers for cancer nanovaccines,the roles of different target cells,and clinically tested cancer nanovaccines,discussing strategies for effectively inducing cytotoxic T lymphocytes responses and optimizing antigen presentation,while also looking ahead to the translational challenges of moving from animal experiments to clinical trials.

关键词： Cancer nanovaccines Immunotherapy nanobiotechnology Immune targets Signaling pathway