GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF C^(N)

In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.

Vitamin D, selenium in type 2 diabetes and Hashimoto's thyroiditis: Is it effective?

The study by Feng et al,explores treatment approaches for these coexisting conditions.It emphasizes the potential advantages of selenium and vitamin D supplementation but also raises methodological and patient selection concerns.Findings indicate a complex interplay between interventions and disease markers,prompting the need for further research.Despite limitations,the study offers valuable insights into managing the intricate relationship between type 2 diabetes mellitus and Hashimoto's thyroiditis.The authors'contributions shed light on potential treatment avenues,although careful consideration of study design and patient characteristics is warranted for future investigations in this domain.

Vitamin D and selenium for type 2 diabetes mellitus with Hashimoto’s thyroiditis:Dosage and duration insights

This letter discusses the publication by Feng et al.Iodine,selenium,and vitamin D are closely associated with thyroid hormone production in humans;however,the efficacy of selenium and vitamin D supplementation for type 2 diabetes mellitus(T2DM)patients with Hashimoto’s thyroiditis(HT)remains controversial.In the retrospective study we discuss herein,the authors highlighted significant improvements in thyroid function,thyroid antibodies,blood glucose,and blood lipid in T2DM patients with HT following addition of vitamin D and selenium to their antidiabetic regimens,underscoring the value of these supplements.Our team is currently engaged in research exploring the relationship between micronutrients and HT,and we have obtained invaluable insights from the aforementioned study.Based on this research and current literature,we recommend a regimen of 4000 IU/day of vitamin D and 100-200μg/day of selenium for over three months to six months for patients with HT,particularly for those with concurrent T2DM.

Does type 1 diabetes serve as a protective factor against inflammatory bowel disease:A Mendelian randomization study

BACKGROUND The impact of type 1 diabetes(T1D)on inflammatory bowel disease(IBD)remains unclear.AIM To analyze the causal relationship between T1D and IBD using Mendelian randomization(MR).METHODS Single nucleotide polymorphisms were sourced from FinnGen for T1D,IBD,ulcerative colitis(UC)and Crohn’s disease(CD).Inverse variance-weighted,MREgger,and weighted median tests were used to assess exposure-outcome causality.The MR-Egger intercept was used to assess horizontal pleiotropy.Cochran’s Q and leave-one-out method were used to analyze heterogeneity and sensitivity,respectively.RESULTS Our MR analysis indicated that T1D was associated with a reduced risk of IBD[odds ratio(OR):0.959;95%confidence interval(CI):0.938-0.980;P<0.001]and UC(OR:0.960;95%CI:0.929-0.992;P=0.015),with no significant association observed in terms of CD risk(OR:0.966;95%CI:0.913-1.022;P=0.227).The MR-Egger intercept showed no horizontal pleiotropy(P>0.05).Cochran’s Q and leave-one-out sensitivity analyses showed that the results were not heterogeneous(P>0.05)and were robust.CONCLUSION This MR analysis suggests that T1D serves as a potential protective factor against IBD and UC but is independent of CD.

Recent progress in the applications of presynaptic dopaminergic positron emission tomography imaging in parkinsonism

Nowadays,presynaptic dopaminergic positron emission tomography,which assesses deficiencies in dopamine synthesis,storage,and transport,is widely utilized for early diagnosis and differential diagnosis of parkinsonism.This review provides a comprehensive summary of the latest developments in the application of presynaptic dopaminergic positron emission tomography imaging in disorders that manifest parkinsonism.We conducted a thorough literature search using reputable databases such as PubMed and Web of Science.Selection criteria involved identifying peer-reviewed articles published within the last 5 years,with emphasis on their relevance to clinical applications.The findings from these studies highlight that presynaptic dopaminergic positron emission tomography has demonstrated potential not only in diagnosing and differentiating various Parkinsonian conditions but also in assessing disease severity and predicting prognosis.Moreover,when employed in conjunction with other imaging modalities and advanced analytical methods,presynaptic dopaminergic positron emission tomography has been validated as a reliable in vivo biomarker.This validation extends to screening and exploring potential neuropathological mechanisms associated with dopaminergic depletion.In summary,the insights gained from interpreting these studies are crucial for enhancing the effectiveness of preclinical investigations and clinical trials,ultimately advancing toward the goals of neuroregeneration in parkinsonian disorders.

The cGAS-STING-interferon regulatory factor 7 pathway regulates neuroinflammation in Parkinson's disease

Interferon regulatory factor 7 plays a crucial role in the innate immune response.However,whether interferon regulatory factor 7-mediated signaling contributes to Parkinson's disease remains unknown.Here we report that interferon regulatory factor 7 is markedly up-regulated in a 1-methyl-4-phenyl-1,2,3,6-tetrahydropyridine-induced mouse model of Parkinson's disease and co-localizes with microglial cells.Both the selective cyclic guanosine monophosphate adenosine monophosphate synthase inhibitor RU.521 and the stimulator of interferon genes inhibitor H151 effectively suppressed interferon regulatory factor 7 activation in BV2 microglia exposed to 1-methyl-4-phenylpyridinium and inhibited transformation of mouse BV2 microglia into the neurotoxic M1 phenotype.In addition,si RNA-mediated knockdown of interferon regulatory factor 7 expression in BV2 microglia reduced the expression of inducible nitric oxide synthase,tumor necrosis factorα,CD16,CD32,and CD86 and increased the expression of the anti-inflammatory markers ARG1 and YM1.Taken together,our findings indicate that the cyclic guanosine monophosphate adenosine monophosphate synthase-stimulator of interferon genes-interferon regulatory factor 7 pathway plays a crucial role in the pathogenesis of Parkinson's disease.

基于Type-2 T-S的模糊脉冲控制

利用Type-2模糊系统在描述复杂非线性系统诸多不确定性问题时的有效性,在Type-1模糊脉冲控制的基础上,提出了区间Type-2 T-S模糊脉冲控制方法.该方法利用Type-2模糊隶属函数的"宽带"效应,解决了Type-1模糊脉冲控制中数据噪声和外界扰动问题;利用Lyapunov理论和Lipschitz条件,通过运用比较方法和线性矩阵不等式等综合方法,设计Type-2 T-S模糊脉冲控制器,给出系统的渐进稳定性分析;最后,在倒立摆系统的仿真中,较方便地确定了隶属函数并选取了较少的模糊规则,表明系统的有效性和优异性.

区间Type-2 T-S间接自适应模糊控制

本文在Type-1 T-S间接自适应模糊控制器的基础上,利用Type-2模糊系统理论,提出了区间Type-2 T-S间接自适应模糊控制器的设计方法.由于该系统的规则前件是区间Type-2模糊集合,后件为精确数,使构造的控制方法既具备Type-2模糊集处理诸多不确定性的特点,能够减少由于规则不确定对系统的影响,同时又具有T-S模糊模型后件为各输入变量的线性组合的特点,可以提高系统的建模精度,减少系统的规则数等优点.本文利用Lyapunov合成方法,研究了在所有变量一致有界的意义下,闭环系统的全局稳定性,分析了区间Type-2 T-S间接自适应模糊控制系统的收敛性,并给出了系统参数的自适应律.通过倒立摆跟踪模型进行仿真,验证其有效性和优越性.

S型异质结光催化剂的研究进展

光催化技术具有合成过程简便、反应条件易控制、充分利用太阳能且无二次污染等突出优势,在处理环境污染问题和缓解全球能源短缺等方面具有广阔的应用前景。然而,由于光生载流子低的转移和分离效率,实际的光化学转换效率提升受到了限制。新兴的S型异质结光催化剂由于其在空间上实现了光生载流子的有效转移分离并展现出强的氧化还原能力,在太阳燃料制备和环境治理领域受到了广泛关注和研究。综述了异质结光催化剂的发展历程和S型异质结的基本原理及在各领域中的应用。最后,总结了S型异质结光催化剂的突出优势,并提出S型异质结光催化剂的发展前景和面临的挑战,为开发具备高效光催化活性的新型异质结光催化剂提供思路和参考。

Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev＇s type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

Cognitive deficits and Alzheimer-like neuropathological impairments during adolescence in a rat model of type 2 diabetes mellitus

Numerous studies have shown that many patients who suffer from type 2 diabetes mellitus exhibit cognitive dysfunction and neuronal synaptic impairments. Therefore, growing evidence suggests that type 2 diabetes mellitus has a close relationship with occurrence and progression of neurodegeneration and neural impairment in Alzheimer＇s disease. However, the relationship between metabolic disorders caused by type 2 diabetes mellitus and neurodegeneration and neural impairments in Alzheimer＇s disease is still not fully determined. Thus, in this study, we replicated a type 2 diabetic animal model by subcutaneous injection of newborn Sprague-Dawley rats with monosodium glutamate during the neonatal period. At 3 months old, the Barnes maze assay was performed to evaluate spatial memory function. Microelectrodes were used to measure electrophysiological function in the hippocampal CA1 region. Western blot assay was used to determine expression levels of glutamate ionotropic receptor NMDA type subunit 2 A（GluN2A） and GluN2B in the hippocampus. Enzyme-linked immunosorbent assay was used to determine levels of interleukin-1β, tumor necrosis factor α, and interleukin-6 in the hippocampus and cerebral cortex, as well as hippocampal amyloid beta（Aβ）1-40 and Aβ_（1-42） levels. Our results showed that in the rat model of type 2 diabetes mellitus caused by monosodium glutamate exposure during the neonatal period, latency was prolonged and the number of errors increased in the Barnes maze. Further, latency was increased and time in the escape platform quadrant shortened. Number of times crossing the platform was also reduced in the Morris water maze. After high frequency stimulation of the hippocampus, synaptic transmission was inhibited, expression of GluN2A and GluN2B were decreased in the hippocampus, expression of interleukin 1β, interleukin 6, and tumor necrosis factor α was increased in the hippocampus and cortex, and levels of Aβ_（1-40） and Aβ_（1-42） were increased in the hippocampus. These findings confirm that type 2 diabetes mellitus induced by neonatal monosodium glutamate exposure results in Alzheimer-like neuropathological changes and further causes cognitive deficits and neurodegeneration in young adulthood.

Alzheimer’s disease and type 2 diabetes mellitus:Pathophysiologic and pharmacotherapeutics links

At present,Alzheimer’s disease(AD)and type 2 diabetes mellitus(T2DM)are two highly prevalent disorders worldwide,especially among elderly individuals.T2DM appears to be associated with cognitive dysfunction,with a higher risk of developing neurocognitive disorders,including AD.These diseases have been observed to share various pathophysiological mechanisms,including alterations in insulin signaling,defects in glucose transporters(GLUTs),and mitochondrial dysfunctions in the brain.Therefore,the aim of this review is to summarize the current knowledge regarding the molecular mechanisms implicated in the association of these pathologies as well as recent therapeutic alternatives.In this context,the hyperphosphorylation of tau and the formation of neurofibrillary tangles have been associated with the dysfunction of the phosphatidylinositol 3-kinase and mitogen-activated protein kinase pathways in the nervous tissues as well as the decrease in the expression of GLUT-1 and GLUT-3 in the different areas of the brain,increase in reactive oxygen species,and production of mitochondrial alterations that occur in T2DM.These findings have contributed to the implementation of overlapping pharmacological interventions based on the use of insulin and antidiabetic drugs,or,more recently,azeliragon,amylin,among others,which have shown possible beneficial effects in diabetic patients diagnosed with AD.

Weakly Noether Symmetry for Nonholonomic Systems of Chetaev's Type

In the paper [J. of Beijing Institute of Technology 26 （2006） 285] the authors provided the definition of weakly Noether symmetry. We now discuss the weakly Noether symmetry for non-holonomic system of Chetaev＇s type, and present expressions of three kinds of conserved quantities by weakly Noether symmetry. Finally, the application of this new result is shown by a practical example.

Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev＇s Type Constraints

Based on the total time derivative along the trajectory of the system, the unified symmetry of nonholonomic mechanical system with non-Chetaev＇s type constraints is studied. The definition and criterion of the unified symmetry of nonholonomic mechanical systems with non-Ohetaev＇s type constraints are given. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. Two examples are given to illustrate the application of the results.

Pre-hepatectomy type Ⅳ collagen 7S predicts post-hepatectomy liver failure and recovery

BACKGROUND Liver resection is an effective treatment for benign and malignant liver tumors.However,a method for preoperative evaluation of hepatic reserve has not yet been established.Previously reported assessments of preoperative hepatic reserve focused only on liver failure in the early postoperative period and did not consider the long-term recovery of hepatic reserve.When determining eligibility for hepatectomy,the underlying pathophysiology needs to be considered to determine if the functional hepatic reserve can withstand both surgery and any postoperative therapy.AIM To identify pre-hepatectomy factors associated with both early postoperative liver failure and long-term postoperative liver function recovery.METHODS This study was a retrospective cohort study.We retrospectively investigated 215 patients who underwent hepatectomy at our hospital between May 2013 and December 2016.Early post-hepatectomy liver failure(PHLF)was defined using the International Study Group of Liver Surgery’s definition of PHLF.Long-term postoperative recovery of liver function was defined as the time taken for serum total bilirubin and albumin levels to return to levels of<2 mg/dL and>2.8 g/dL,respectively,and the time taken for Child-Pugh score to return to Child-Pugh class A.RESULTS Preoperative type IV collagen 7S was identified as a significant independent factor associated with both PHLF and postoperative long-term recovery of liver function.Further analysis revealed that the time taken for the recovery of Child-Pugh scores and serum total bilirubin and albumin levels was significantly shorter in patients with type IV collagen 7S≤6 ng/mL than in those with type IV collagen 7S>6 ng/mL.In additional analyses,similar results were observed in patients without chronic viral hepatitis associated with fibrosis.CONCLUSION Preoperative type IV collagen 7S is a preoperative predictor of PHLF and longterm postoperative liver function recovery.It can also be used in patients without chronic hepatitis virus.

Type 2 Diabetes Meilitus Easily Develops into Alzheimer’s Disease via Hyperglycemia and Insulin Resistance

With the acceleration of population aging,the incidence of type 2 diabetes mellitus(T2DM)and Alzheimer’s disease(AD)is progressively increasing due to the age-relatedness of these two diseases.The association between T2DM and AD-like dementia is receiving much attention,and T2DM is reported to be a significant risk factor for AD.The aims of this review were to reveal the brain changes caused by T2DM as well as to explore the roles of hyperglycemia and insulin resistance in the development of AD.

LOWER BOUNDS OF DIRICHLET EIGENVALUES FOR A CLASS OF FINITELY DEGENERATE GRUSHIN TYPE ELLIPTIC OPERATORS

Let Ω be a bounded open domain in Rn with smooth boundary Ω, X =（X1,X2,... ,Xm） be a system of real smooth vector fields defined on Ω and the bound-ary Ω is non-characteristic for X. If X satisfies the HSrmander＇s condition, then the vectorfield is finitely degenerate and the sum of square operator △X =m∑j=1 X2 j is a finitely de-generate elliptic operator. In this paper, we shall study the sharp estimate of the Dirichlet eigenvalue for a class of general Grushin type degenerate elliptic operators △x on Ω.

Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Lie symmetry, and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained. An example is given to illustrate the application of the results.

Endovascular Application of Low-Energy Laser in the Treatment of Dyscirculatory Angiopathy of Alzheimer’s Type

Purpose: We propose an analysis of dyscirculatory angiopathy of Alzheimer’s type (DAAT) endovascular treatment method based on transcatheter revascularization and recovery of collateral and microvascular bed of the brain by means of low-energy transluminal laser irradiation as well as its comparison with traditional Alzheimer’s disease (AD) treatment methods. Methods: The research involved 81 patients aged 34 - 79 (average age 67). 46 (46.8%) patients were treated using endovascular method—Test Group. 35 (43.2%) patients were given conventional treatment—Control Group. Patients were subdivided: Group (CDR-0): 9 (11.1%), pre-clinical stage or increased AD risk;Group (CDR-1): 24 (29.6%), mild dementia and cognitive impairment;Group (CDR-2): 31 (38.3%), moderate dementia and persistent cognitive impairment;Group (CDR-3): 17 (21.0%), severe dementia and cognitive impairment. Research plan included CT or MRI with subsequent temporal lobes volume calculation, brain scintigraphy (SG), rheoencephalography (REG), and cerebral MUGA. There were indications and contraindications for treatment in Test Group. In Group CDR-0, endovascular intervention was prophylactic, against the background of increasing memory impairment;in Groups CDR-1, CDR-2, CDR-3, it was conducted in 1 to 12 years period from AD symptoms appear-ance. Conservative treatment with Memantin and Rivastigmine was carried out in Control Group. Results: In Test Group, positive outcome accompanied by prolonged dementia decline, cognitive impairment decrease, and patients’ transition to CDR group of an earlier stage, was obtained in all cases. In Control Group, patients’ temporary stabilization in their own CDR group was achieved. Conclusions: Endovascular treatment of patients with AD different stages can not only reduce DAAT phenomena but can also cause AD regression possibly accompanied by regenerative processes in the cerebral tissue. Conservative treatment only allows stabilizing the patient’s condition for a while.

Evaluation of retinal and choroidal changes in patients with Alzheimer’s type dementia using optical coherence tomography angiography

AIM:To evaluate the changes in fundus parameters in patients with Alzheimer’s type dementia(ATD)using optical coherence tomography angiography(OCTA),to record flash electroretinograms(ERG)using the RETeval system and to explore changes in retinal function.METHODS:Twenty-nine patients with ATD and 26 age-matched normal subjects were enrolled.All subjects underwent OCTA scans to analyse the superficial retinal vessel parameters in the macular area,including the vessel length density,the vessel perfusion density and the area of foveal avascular zone(FAZ),as well as the choroidal thickness.The differences between the patients with ATD and the normal control group were compared and explored the relevant factors affecting vessel parameters.We also recorded the flash ERGs using the RETeval system and intended to explore changes in retinal function by analysing the ERG image amplitude in patients with ATD.RESULTS:The vessel parameters[Pvessel length density=0.005 and Pvessel perfusion density=0.006]and average choroid thickness(P<0.001)in the macular area of the ATD group was less than the control group.The FAZ area was statistically significantly enlarged in the ATD group(P<0.001).These parameters were correlated with the Mini-Mental State Examination(MMSE)score and the Montreal Cognitive Assessment(MoCA).CONCLUSION:Patients with ATD exhibit decreases in the parameters associated with fundus.In addition,these indicators significantly correlate with the MMSE score and the MoCA score.OCTA may be an adjunct tool with strong potential to track changes in the diagnosis and monitoring the progression of the disease.