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Bi-Orthogonal fPINN:A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

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Communications in Computational Physics 2023年第9期34卷 1133-1176页

作者： Lei Ma Rongxin Li Fanhai Zeng ling Guo George Em Karniadakis department of Mathematics Shanghai Normal UniversityShanghai 200234China School of Mathematics Shandong UniversityShandong 250100China Division of Applied Mathematics Brown UniversityProvidenceRI 02906USAand School of EngineeringBrown UniversityProvidenceRI 02906USA

Fractional partial differential equations(FPDEs)can effectively represent anomalous transport and nonlocal ***,inherent uncertainties arise naturally in real applications due to random forcing or unknown material *** models considering nonlocal interactions with uncertainty quantification can be formulated as stochastic fractional partial differential equations(SFPDEs).There are many challenges in solving SFPDEs numerically,especially for long-time integration since such problems are high-dimensional and ***,we combine the bi-orthogonal(BO)method for representing stochastic processes with physicsinformed neural networks(PINNs)for solving partial differential equations to formulate the bi-orthogonal PINN method(BO-fPINN)for solving time-dependent ***,we introduce a deep neural network for the stochastic solution of the time-dependent SFPDEs,and include the BO constraints in the loss function following a weak *** automatic differentiation is not currently applicable to fractional derivatives,we employ discretization on a grid to compute the fractional derivatives of the neural network *** weak formulation loss function of the BO-fPINN method can overcome some drawbacks of the BO methods and thus can be used to solve SFPDEs with eigenvalue ***,the BO-fPINN method can be used for inverse SFPDEs with the same framework and same computational complexity as for forward *** demonstrate the effectiveness of the BO-fPINN method for different benchmark ***,we first consider an SFPDE with eigenvalue crossing and obtain good results while the original BO method *** then solve several forward and inverse problems governed by SFPDEs,including problems with noisy initial *** study the effect of the fractional order as well as the number of the BO modes on the accuracy of the BO-fPINN *** results demonstrate the flexibility and efficiency

关键词： Scientific machine learning uncertainty quantification stochastic fractional differential equations PINNs inverse problems

ROBUST STABILIZATION OF A CLASS OF NONLINEAR TIME-VARYING UNCERTAIN SYSTEMS WITH MULTI-OPERATING POINTS

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ROBUST STABILIZATION OF A CLASS OF NONLINEAR TIME-VARYING UN...

Angiotensin-Converting Enzyme 2 in the Rostral Ventrolateral Medulla Regulates Cholinergic Signaling and Cardiovascular and Sympathetic Responses in Hypertensive Rats

第二十三届中国控制会议

作者： Zhong Yi-Sheng (department of automation, Tsinghua University, Beijing, 100084)

＜正＞ Robust stabilization problem is dealt with for nonlinear time-varying uncertain systems with multi-operating points. A new method will be proposed to design a linear time-invariant robust stabilizing controller. An artificial nominal plant is introduced and the real plant is regarded as the nominal one plus nonlinear time-varying uncertainties and unmodelled dynamics. A nominal controller is first designed for the nominal plant, then a robust compensator is designed to restrain the influence of the real plant perturbations from the nominal one. Under certain assumptions, robust stability can be achieved.

关键词： robust control stabilization nonlinear time-varying multi-model.

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Neuroscience Bulletin 2019年第1期35卷 67-78页

作者： Yu Deng Xing Tan Miao-ling Li Wei-Zhong Wang Yang-Kai Wang department of Physiology Second Military Medical UniversityShanghai 200433China Institution of Polar Medicine Research Center Second Military Medical UniversityShanghai 200433China department of Anesthesiology Changhai HospitalShanghai 200433China Institute of Cardiovascular Medical Research Southwest Medical UniversityLuzhou 646000China

The rostral ventrolateral medulla(RVLM) is a key region in cardiovascular regulation. It has been demonstrated that cholinergic synaptic transmission in the RVLM is enhanced in hypertensive rats. Angiotensinconverting enzyme 2(ACE2) in the brain plays beneficial roles in cardiovascular function in hypertension. The purpose of this study was to determine the effect of ACE2 overexpression in the RVLM on cholinergic synaptic transmission in spontaneously hypertensive rats(SHRs).Four weeks after injecting lentiviral particles containing enhanced green fluorescent protein and ACE2 bilaterally into the RVLM, the blood pressure and heart rate were notably decreased. ACE2 overexpression significantly reduced the concentration of acetylcholine in microdialysis fluid from the RVLM and blunted the decrease in blood pressure evoked by bilateral injection of atropine into the RVLM in SHRs. In conclusion, we suggest that ACE2 overexpression in the RVLM attenuates the enhanced cholinergic synaptic transmission in SHRs.

关键词： Hypertension Renin-angiotensin system Gene transfer Acetylcholine Sympathetic nerve activity

Activating transcription factor 5 regulates lipid metabolism in adipocytes

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Science Bulletin 2016年第23期61卷 1802-1809页

作者： Jing-Hui Jiang Yue Zhao Liu-ling Xiao Cui-Song Zhu Shu-Fen Li Xi Li Key Laboratory of Metabolic Molecular Medicine the Ministry of Education Department of Biochemistry and Molecular Biology Fudan University Basic Medical SchoolShanghai 200032 China Jiangsu Key Laboratory of Molecular Medicine School of Medicine Nanjing University Nanjing 210093 China Chongqing Medical University Chongqing 400016 China

Activating transcription factor 5(ATF5) is a member of the activating transcription factor/cA MP response element binding protein(ATF/CREB) family, and is highly expressed in liver and adipose tissue. Previous reports have shown that ATF5 promoted 3T3-L1 preadipocytes differentiation. In this study, we found that ATF5 was highly expressed in mature adipocytes, suggesting a potential role of ATF5 in mature adipocytes, which has not been reported previously. To understand the function of ATF5 in mature adipocytes, we knocked down the expression of ATF5 in 3T3-L1 mature adipocytes and observed decreased lipid droplets. Consistent with the in vitro experiment, the knockdown of ATF5 in white adipose tissue led to less adipose tissue and smaller adipocytes size. Further research revealed that the inhibition of ATF5 diminished the adipocytes size via the inhibition of fatty acid synthetase, stearyl coenzyme A desaturation enzyme 1, and the induction of carnitine palmitoyl transferase 1, one key enzyme of lipid metabolism. In addition, ATF5 knockdown in inguinal white adipose tissue improved whole body insulin *** work provides a new understanding of ATF5 function in mature adipocytes and a potential therapeutic target of diabetes.

关键词： Activating tra scription factor 5 Adipocytes Lipid metabolism.

Repetitive transcranial magnetic stimulation combined with olanzapine and amisulpride for treatment-refractory schizophrenia

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World Journal of Psychiatry 2023年第7期13卷 453-460页

作者： Jin-ling Liu Zhi-Mei Tan Shu-Jie Jiao department of Neurology The First Affiliated Hospital of Zhengzhou UniversityZhengzhou 450000Henan ProvinceChina department of Rehabilitation Medicine The First Affiliated Hospital of Zhengzhou UniversityZhengzhou 450000Henan ProvinceChina

BACKGROUND Treatment-refractory schizophrenia(TRS),accounting for approximately 30%of all schizophrenia cases,has poor treatment response and prognosis despite treatment with antipsychotic *** To analyze the therapeutic effectiveness of repetitive transcranial magnetic stimulation(rTMS)combined with olanzapine(OLZ)and amisulpride(AMI)for TRS and its influence on the patient’s cognitive *** This study enrolled 114 TRS patients who received treatment at the First Affiliated Hospital of Zhengzhou University between July 2019 and July *** addition to the basic OLZ+AMI therapy,54 cases of the control group(Con group)received modified electroconvulsive therapy,while 60 cases of the research group(Res group)received *** on therapeutic effectiveness,safety(incidence of drowsiness,headache,nausea,vomiting,or memory impairment),Positive and Negative Symptom Scale,Montreal Cognitive Assessment Scale,and Schizophrenia Quality of Life Scale were collected from both cohorts for comparative *** The Res group elicited a higher overall response rate and better safety profile when compared with the Con ***,a significant reduction was observed in the post-treatment Positive and Negative Symptom Scale and Schizophrenia Quality of Life Scale scores of the Res group,presenting lower scores than those of the Con ***,a significant increase in the Montreal Cognitive Assessment Scale score was reported in the Res group,with higher scores than those of the Con *** The treatment of TRS with rTMS and OLZ+AMI is effective and ***,it can alleviate the patients’mental symptoms,improve their cognitive function and quality of life,and has a high clinical application value.

关键词： Repetitive transcranial magnetic stimulation Olanzapine Amisulpride Treatment-refractory schizophrenia Therapeutic effectiveness Cognitive function

Synthesis of a new ratiometric emission Ca^(2+) indicator for in vivo bioimaging

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Chinese Chemical Letters 2013年第2期24卷 156-158页

作者： Qiao-ling Liu Meng Fan Wei Bian Shao-Min Shuang Chuan Dong Research Center of Environmental Science and Engineering.Shanxi University department of Chemistry.Taiyuan Normal University Research Center of Environmental Science and Engineering Shanxi University

Received 4 November 2012 Received in revised form 29 November 2012 Accepted 5 December 2012 Available online 18 January 2013

关键词： Ca^2+ indicatorRatiometric emissionBioimaging

Robust Tracking Control of a Class of Nonlinear Time-Varying Uncertain Systems With Multi-Operating Points

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Dual-band-stop filters with unsymmetrical T-shape DGS resonators

第二十四届中国控制会议

作者： Yisheng Zhong department of automation, Tsinghua University, Beijing 100084

＜正＞ Robust tracking problem is dealt with for nonlinear time-varying uncertain systems with multi-operating points. The plant is assumed to have a fixed relative degree. A new method will be proposed to design a linear time-invariant robust tracking controller. An artificial nominal plant is introduced and the real plant is regarded as the nominal one with parameter perturbations and nonlinear time-varying uncertainties as well as unmodelled dynamics. A nominal controller is first designed for the nominal plant to achieve the desired tracking properties, then a robust compensator is designed to restrain the influence of the real plant perturbations from the nominal one. Under certain assumptions, it is shown that robust stability and robust tracking can be achieved.

关键词： robust control stabilization nonlinear time-varying multi-model.

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The Journal of China Universities of Posts and Telecommunications 2013年第4期20卷 112-115页

作者： ZHANG Jin-ling ZHANG Hong-xin LU Ying-hua ZHANG Li-kun School of Telecommunication Engineering Beijing University of Posts and Telecommunications Translation department

A kind of dual-band-stop filter with an unsymmetrical T-shape defected ground structure （DGS） is proposed. The filter has two band gap centers at 4.9 GHz and 7.35 GHz, respectively, where the two centre frequencies are just the second and third harmonics 2.45 GHz. The filters with high band-stop performance and wideband spurious suppression can be achieved by cascading miniaturized unsymmetrical T-shape DGS. The attenuation of three-cascaded T-shape DGS filter is 30.77 dB at 4.9 GHz and 17.96 dB at 7.35 GHz respectively. The above experimental results are in good agreement with the simulation results, especially for the third harmonic.

关键词： DGS band-stop filter dual-resonant characteristics unsymmetrical T-shape

kisspeptin调控Notch1/Akt/Foxo1通路参与复发性流产患者子宫内膜蜕膜化

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四川大学学报（医学版） 2024年第3期55卷 542-551页

作者：杨艳红张建亮李冬晓刘翠平郭融肖伊周玲佟玲霞张弘苏州大学附属第二医院妇产科苏州215004 苏州大学附属第一医院江苏省临床免疫研究所苏州215021

目的 kisspeptin是一种肿瘤抑制因子,由KISS1基因编码。Notch1/Akt/Foxo1是调节细胞增殖、分化的重要信号通路。本研究探讨kisspeptin通过Notch1/Akt/Foxo1信号通路调控子宫内膜蜕膜化在复发性流产(RSA)中的作用机制。方法纳入2020年6... 详细信息

目的 kisspeptin是一种肿瘤抑制因子,由KISS1基因编码。Notch1/Akt/Foxo1是调节细胞增殖、分化的重要信号通路。本研究探讨kisspeptin通过Notch1/Akt/Foxo1信号通路调控子宫内膜蜕膜化在复发性流产(RSA)中的作用机制。方法纳入2020年6月–2020年12月苏州大学附属第二医院生殖中心门诊收治的RSA患者45例及同期计划生育门诊择期人工流产女性50例,Western blot、RT-qPCR检测蜕膜组织中kisspeptin(及其基因KISS1)、蜕膜化标志物胰岛素样生长因子结合蛋白1(insulin-like growth factor binding protein 1, IGFBP1)、Notch1、Akt、Foxo1表达水平。使用siRNA干扰KISS1或添加kisspeptin10(kisspeptin的活性片段)处理永生化子宫内膜基质细胞(hESC)后,命名为siKP组或KP10组,并设转染空白siRNA的hESC为对照组,CCK8检测增殖情况。对3组hESC进行体外诱导蜕膜化,免疫荧光检测siKP组和KP10组细胞Notch1表达及蜕膜化形态差异,RT-qPCR和Western blot检测3组细胞IGFBP1、Notch1、Akt、Foxo1的表达。hESC添加Notch1、Akt、Foxo1对应抑制剂后诱导蜕膜化(以仅诱导蜕膜化、未添加抑制剂的hESC为正常对照组),检测4组细胞上述蛋白和基因的表达。建立正常妊娠(CBA/J×BALB/c)和复发性流产(CBA/J×DBA/2)小鼠模型,即NP模型和RSA模型,实验组分别给予kisspeptin10和kisspeptin234(阻滞剂)隔日1次腹腔注射(RSA-KP10组和NP-KP234组),对照组给予生理盐水隔日1次腹腔注射(RSA-NS组和NP-NS组),共4组,每组6只,取孕9.5 d的子宫组织,观察胚胎吸收的情况,检测上述蛋白和基因的表达。结果与正常妊娠(NP)女性相比,RSA患者kisspeptin、IGFBP1、Notch1、Akt、Foxo1的蛋白及其基因表均降低(P<0.01或P<0.05)。hESC添加kisspeptin10后蜕膜化能力增强,Notch1、Akt、Foxo1的蛋白及基因表达增加,干扰KISS1后表达降低;免疫荧光见增殖状态的hESC呈细长形,蜕膜化后细胞变圆、变大,Notch1表达增加,添加kisspeptin10后蜕膜化程度增高,干扰KISS1后减弱;分别用Notch1、Akt、Foxo1抑制剂处理hESC,发现三者按Notch1/Akt/Foxo1的顺序依次调控(P<0.05)。与注射生理盐水组相比,正常妊娠小鼠注射kisspeptin234后吸收胎增多(P<0.001),IGFBP1、Notch1、Akt、Foxo1的蛋白及基因表达下降(P<0.05);复发流产小鼠注射kisspeptin10后吸收胎减少(P<0.001),上述蛋白及基因表达升高(P<0.05)。结论 kisspeptin可能通过Notch1/Akt/Foxo1信号通路调控子宫内膜蜕膜化,其表达下调导致蜕膜化不良,可能是导致RSA发病的原因之一。

关键词： kisspeptin Notch1 子宫内膜蜕膜化复发性流产