Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation

The Burton-Miller boundary integral formulation is solved by a complex variable boundary element-free method(CVBEFM)for the boundary-only meshless analysis of acoustic problems with arbitrary wavenumbers.To regularize both strongly singular and hypersingular integrals and to avoid the computation of the solid angle and its normal derivative,a weakly singular Burton-Miller formulation is derived by considering the normal derivative of the solid angle and adopting the singularity subtraction procedures.To facilitate the implementation of the CVBEFM and the approximation of gradients of the boundary variables,a stabilized complex variable moving least-square approximation is selected in the meshless discretization procedure.The results show the accuracy and efficiency of the present CVBEFM and reveal that the method can produce satisfactory results for all wavenumbers,even for extremely large wavenumbers such as k=10000.

Trace formula of the integro-differential operator on a quantum graph

In this paper we study the eigenvalue problem for integro-differential operators on a lasso graph.The trace formula of the operator is established by applying the residual technique in complex analysis.

Analytical Solution and Simplified Formula for Added Mass of Horizontal and Vertical Motions of Truncated Cylinders Under Earthquake Action

This paper investigates the hydrodynamic characteristics of floating truncated cylinders undergoing horizontal and vertical motions due to earthquake excitations in the finite water depth.The governing equation of the hydrodynamic pressure acting on the cylinder is derived based on the radiation theory with the inviscid and incompressible assumptions.The governing equation is solved by using the method of separating variables and analytical solutions are obtained by assigning reasonable boundary conditions.The analytical result is validated by a numerical model using the exact artificial boundary simulation of the infinite water.The main variation and distribution characteristics of the hydrodynamic pressure acting on the side and bottom of the cylinder are analyzed for different combinations of wide-height and immersion ratios.The added mass coefficient of the cylinder is calculated by integrating the hydrodynamic pressure and simplified formulas are proposed for engineering applications.The calculation results show that the simplified formulas are in good agreement with the analytical solutions.

Examining the Use of Scott’s Formula and Link Expiration Time Metric for Vehicular Clustering

Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are simplistic,with fast performance and relative accuracy.However,their implementation depends on the initial selection of clusters number(K),the initial clusters’centers,and the clustering metric.This paper investigated using Scott’s histogram formula to estimate the K number and the Link Expiration Time(LET)as a clustering metric.Realistic traffic flows were considered for three maps,namely Highway,Traffic Light junction,and Roundabout junction,to study the effect of road layout on estimating the K number.A fast version of the PAM algorithm was used for clustering with a modification to reduce time complexity.The Affinity propagation algorithm sets the baseline for the estimated K number,and the Medoid Silhouette method is used to quantify the clustering.OMNET++,Veins,and SUMO were used to simulate the traffic,while the related algorithms were implemented in Python.The Scott’s formula estimation of the K number only matched the baseline when the road layout was simple.Moreover,the clustering algorithm required one iteration on average to converge when used with LET.

Modified Sadowski formula-based model for the slope shape amplification effect under multistage slope blasting vibration

Blasting operations,which are crucial to open-pit mine production due to their simplicity and efficiency,require precise control through accurate vibration velocity calculations.The conventional Sadowski formula mainly focuses on blast center distance but neglects the amplification effect of blasting vibration waves by terraced terrain,from which the calculated blasting vibration velocities are smaller than the actual values,affecting the safety of the project.To address this issue,our model introduces the influences of slope and time into Sadowski formula to measure safety through blast vibration displacement.In the northern section of the open-pit quartz mine in Jinchang City,Gansu Province,China,the data of a continuous blasting slope project are referred to.Our findings reveal a noticeable vibration amplification effect during blasting when a multi-stage slope platform undergoes a sudden cross-sectional change near the upper overhanging surface.The amplification vibration coefficient increases with height,while vibration waves within rocks decrease from bottom to top.Conversely,platforms without distinct crosssectional changes exhibit no pronounced amplification during blasting.In addition,the vibration intensity decreases with distance as the rock height difference change propagates.The results obtained by the proposed blast vibration displacement equation incorporating slope shape influence closely agree with real-world scenarios.According to Pearson correlation coefficient(PPMCC)analysis,the average accuracy rate of our model is 88.84%,which exceeds the conventional Sadowski formula(46.92%).

Jianpi Qinghua Formula Alleviates Diabetic Myocardial Injury Through Inhibiting JunB/c-Fos Expression

Objective Diabetic cardiomyopathy(DCM)represents a substantial risk factor for heart failure and increased mortality in individuals afflicted with diabetes mellitus(DM).DCM typically manifests as myocardial fibrosis,myocardial hypertrophy,and impaired left ventricular diastolic function.While the clinical utility of the Jianpi Qinghua(JPQH)formula has been established in treating diabetes and insulin resistance,its potential efficacy in alleviating diabetic cardiomyopathy remains uncertain.This study aims to investigate the impact and underlying molecular mechanisms of the JPQH formula(JPQHF)in ameliorating myocardial injury in nonobese diabetic rats,specifically focusing on apoptosis and inflammation.Methods Wistar rats were assigned as the normal control group(CON),while Goto-Kakizaki(GK)rats were randomly divided into three groups:DM,DM treated with the JPQHF,and DM treated with metformin(MET).Following a 4-week treatment regimen,various biochemical markers related to glucose metabolism,cardiac function,cardiac morphology,and myocardial ultrastructure in GK rats were assessed.RNA sequencing was utilized to analyze differential gene expression and identify potential therapeutic targets.In vitro experiments involved high glucose to induce apoptosis and inflammation in H9c2 cells.Cell viability was evaluated using CCK-8 assay,apoptosis was monitored via flow cytometry,and the production of inflammatory cytokines was measured using quantitative real-time PCR(qPCR)and ELISA.Protein expression levels were determined by Western blotting analysis.The investigation also incorporated the use of MAPK inhibitors to further elucidate the mechanism at both the transcriptional and protein levels.Results The JPQHF group exhibited significant reductions in interventricular septal thickness at end-systole(IVSs)and left ventricular internal diameter at end-systole and end-diastole(LVIDs and LVIDd).JPQHF effectively suppressed high glucose-induced activation of IL-1βand caspase 3 in cardiomyocytes.Furthermore,JPQHF downregulated the expression of myocardial JunB/c-Fos,which was upregulated in both diabetic rats and high glucose-treated H9c2 cells.Conclusion The JPQH formula holds promise in mitigating diabetic myocardial apoptosis and inflammation in cardiomyocytes by inhibiting JunB/c-Fos expression through suppressing the MAPK(p38 and ERK1/2)pathway.

Antidepressant effects of Peiyuan Jieyu formula in a mouse model of chronic stress in conjunction with lipopolysaccharide-induced depression

Objective:To explore the mechanism of the Peiyuan Jieyu formula in treating depression by assessing its impact on a lipopolysaccharide-induced(LPS-induced)depression mouse model.Methods:We created a mouse model of depression by exposing mice that had previously received chronic stress to intraperitoneal LPS injections.The mice were divided into the following groups:control,model,fluoxetine,Tiansi Yin,Sini powder,and low-,medium-,and high-dose Peiyuan Jieyu formula groups.Forced swim and tail suspension tests were used to assess the efficacy of the depression(despair)model,and weight gain rates were also measured.Furthermore,serum levels of various depression and inflammation-associated molecules,including tumor necrosis factor-a(TNF-a),interferon-γ(IFN-γ),tryptophan,5-hydroxytryptamine,kynurenine(KYN),and kynurenic acid(KA)were assessed.Furthermore,the expression levels of ionic calcium-binding adaptor molecule-1(IBA-1)and indoleamine 2,3-dioxygenase(IDO)mRNA in hippocampal microglia were measured.Results:The model group displayed greater despair-associated immobility,which was shortened in response to various doses of Peiyuan Jieyu formula.Furthermore,formula administration significantly reduced serum TNF-a levels and hippocampal IDO mRNA expression.The high formula dose also reduced IFN-γand IBA-1 levels,the latter was also decreased in response to the medium formula dose.However,the low formula dose reduced serum KYN level and KYN/tryptophan(TRP)and KYN/KA ratios.Conclusion:The Peiyuan Jieyu formula holds immense potential in treating depression in a mouse model,potentially inhibiting inflammation and improving TRP-KYN metabolic disorders.

Evaluation of the famous classic formula Sanhua decoction based on network pharmacology and multi-component quantitative analysis

Background:Sanhua decoction has significant effects in the treatment of stroke.The study of the Sanhua decoction material benchmark was carried out to analyze the value transfer relationship between the Chinese herbal pieces and the substance benchmark.Methods:Network pharmacology was employed to investigate the potential active components and molecular mechanisms of Sanhua decoction in the treatment of stroke.15 batches of Sanhua decoction lyophilized powder were prepared using traditional formulas and subjected to high-performance liquid chromatography analysis to generate fingerprints of the Sanhua decoction substance benchmarks.Then,a multi-component quantitative analysis method was established,allowing for the simultaneous determination of ten components,to study the transfer of quantity values between pieces and substance benchmarks.Results:60 active ingredients were screened from Sanhua decoction by network pharmacology,of which gallic acid,magnolol honokiol,physcion,and aloe-emodin may have a greater effect than other active components.63 key targets and 134 pathways were predicted as the potential mechanism of Sanhua decoction in treating stroke.The fingerprint similarity of the Sanhua decoction substance benchmarks was found to be good among the 15 batches,confirming the 19 common peaks.The content of the 10 components was basically consistent.The components’transfer rates were within 30%of their respective means.Conclusions:This study provided a comprehensive and reliable strategy for the quality evaluation of Sanhua decoction substance benchmarks and held significant importance in improving its application value.

Gastrointestinal tolerability of organic infant formula compared to traditional infant formula: A systematic review

BACKGROUND Infants'nutrition significantly influences their growth,development,and overall well-being.With the increasing demand for organic infant formula driven by the perception of health benefits and growing awareness of natural feeding options,it is crucial to conduct a comparative analysis of the gastrointestinal tolerability between organic and traditional infant formulas.AIM To provide a concise and precise analysis of the gastrointestinal tolerability of organic infant formula compared to traditional infant formula.Due to limited direct comparisons,the review synthesizes available literature on each formula type,presenting insights into their potential effects on infants'digestive health.METHODS An extensive literature search was conducted,compiling studies on organic and traditional infant formulas,their compositions,and reported effects on gastrointestinal tolerability.We searched academic databases such as PubMed and Google Scholar and specialized nutrition,paediatrics,and infant health journals using relevant keywords till October 1,2023.RESULTS Although specific comparative studies are scarce and formula heterogeneity is a significant limitation,this systematic review provides an in-depth understanding of organic infant formulas'composition and potential benefits.While scientific evidence directly comparing gastrointestinal tolerability is limited,organic formulas strive to use carefully selected organic ingredients to imitate breast milk composition.Potential benefits include improved lipid profiles,higher methionine content,and decreased antibiotic-resistant bacteria levels.Understanding the gastrointestinal tolerability of organic and traditional infant formulas is crucial for parents and healthcare providers to make informed decisions.CONCLUSION Despite limitations in direct comparisons,this systematic review provides insights into the composition and potential benefits of organic infant formulas.It emphasizes the need for further research to elucidate their gastrointestinal effects comprehensively.

Effect of high-protein peptide-based formula compared with isocaloric isonitrogenous polymeric formula in critically ill surgical patient

BACKGROUND Malnutrition is common in critically ill patients,and it is associated with an increased risk of complications.Early enteral nutrition with adequate caloric and protein intake is critical nevertheless it is difficult to achieve.Peptide-based formulas have been shown to be beneficial in patients with feeding intolerance.However,there are limited studies showing the efficacy and safety of high-protein peptide-based formula in critically ill surgical patients.AIM To determine the effects of a high-protein peptide formulation on gastrointestinal tolerance,nutritional status,biochemical changes,and adverse events in patients in the surgery intensive care unit(SICU)compared to an isocaloric isonitrogenous standard polymeric formulation.METHODS This study was a multi-center double-blind,randomized controlled trial.We enrolled adult patients in the surgical intensive care unit,age≥15 years and expected to receive enteral feeding for at least 5-14 d post-operation.They were randomly assigned to receive either the high-protein peptide-based formula or the isocaloric isonitrogenous standard formula for 14 d.Gastric residual volume(GRV),nutritional status,body composition and biochemical parameters were assessed at baseline and on days 3,5,7,9,11,and 14.RESULTS A total of 19 patients were enrolled,9 patients in the peptide-based formula group and 10 patients in the standard formula group.During the study period,there were no differences of the average GRV,body weight,body composition,nutritional status and biochemical parameters in the patients receiving peptide-based formula,compared to the standard regimen.However,participants in the standard formula lost their body weight,body mass index(BMI)and skeletal muscle mass significantly.While body weight,BMI and muscle mass were maintained in the peptide-based formula,from baseline to day 14.Moreover,the participants in the peptide-based formula tended to reach their caloric target faster than the standard formula.CONCLUSION The study emphasizes the importance of early nutritional support in the SICU and showed the efficacy and safety of a high-protein,peptide-based formula in meeting caloric and protein intake targets while maintaining body weight and muscle mass.

Validation of Molecular Detection Methods for Gluten Allergens in Infant Formula

[Objectives]To verify the specificity,sensitivity,precision and negative-positive deviation of the foodproof gluten component de-tection kit for the detection of gluten allergens in milk powder matrix,and to establish a real-time fluorescent PCR legal method for the detec-tion of gluten allergens in milk powder.[Methods]The specificity,sensitivity,precision and negative-positive deviation of the detection method of foodproof gluten component detection kit(PCR-probe method)were verified by artificially adding different concentrations of wheat bran and extracting sample DNA by kit method,and applied to sample detection.[Results] The specific detection results of two kinds of milk powder with wheat bran and buckwheat added showed that the foodproof gluten component detection kit(PCR-probe method)had good speci-ficity for wheat gluten.The results of artificially added wheat bran positive samples showed that the false positive rate and false negative rate of the kit in the milk powder matrix were O,and the sensitivity and precision were high.[Conclusions]The kit is simple to operate and has high accuracy,which is suitable for the detection of gluten allergen components in milk powder.

The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group

The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.In this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex Heisenberg.We investigate quaternionic analysis on the generalized complex Heisenberg.We also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.

Acute Toxicity of Jinchuan Formula Plum Wine Extract and Its Protective Effect on Mice with Liver Injury

[Objectives]To investigate the acute toxicity and hepatoprotective effect of Jinchuan formula plum wine extract on mice,determine its safety range,and evaluate its hepatoprotective effect.[Methods]The median lethal dose(LD_(50))was determined by acute toxicity test with the toxic reaction and mortality of mice as indexes.Sixty Kunming mice were randomly divided into 6 groups:normal control group,model group(ConA-induced liver injury model),Jinchuan formula plum wine high,medium and low dose groups(1.0,0.5,0.25 g/kg)and silybin group(0.1 g/kg).The levels of ALT,AST,LDH in serum and TG,VLDL in liver were measured.After HE staining,the pathological changes of liver tissue in mice were observed,and the liver protective effect of Jinchuan formula plum wine extract was analyzed and evaluated.[Results]LD_(50)was 11.18 g/kg,and the 95%confidence limit of LD_(50)was 10.31-12.05 g/kg.The high-dose group of Jinchuan formula plum wine extract could significantly reduce the serum ALT and AST activities of ConA-induced liver injury mice(P<0.05).[Conclusions]Jinchuan formula plum wine extract is relatively safe,and also has a protective effect on liver injury.

Reciprocity Relation between Alternative Gravity Formulas

We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.

Exploring the bioactive compounds of Feiduqing formula for the prevention and management of COVID-19 through network pharmacology and molecular docking

Background:To explore the effective chemical constituents of Feiduqing formula for prevention and treatment of coronavirus disease 2019(COVID-19).Methods:The compounds and action targets of twelve herbal medicines in Feiduqing formula were collected via Traditional Chinese Medicine Systems Pharmacology Database and Analytic Platform.The genes corresponding to the targets were queried through the UniProt database.The“herbal medicine-ingredient-target”network was established by Cytoscape software.The Gene Ontology function enrichment analysis and Kyoto Encyclopedia of Genes and Genomes pathway enrichment analysis were performed by Database for Annotation,Visualization and Integrated Discovery.Molecular docking was used to analyze the binding force of core active compounds of Feiduqing formula with PTGS2,HSP90AA1,SARS-CoV-23CL hydrolase and angiotensin converting enzyme II(ACE2).Results:The“herbal medicine-ingredient-target”network included 434 nodes and 1948 edges,including 222 components such as quercetin,kaempferol,luteolin,etc.The key targets are PTGS2,HSP90AA1,PTGS1,ESR1,AR,NOS2,etc.Gene Ontology function enrichment analysis revealed 2530 items,including RNA polymerase II-specific,response to oxidative stress,transcription factor activity,etc.Kyoto Encyclopedia of Genes and Genomes pathway enrichment screened 169 signal pathways,including Human cytomegalovirus infection,Kaposi sarcoma-associated herpesvirus infection,Hepatitis B,Hepatitis C,IL-17,TNF,etc.The results of molecular docking showed that quercetin,luteolin,β-sitosterol,stigmasterol and other core active compounds have a certain degree of affinity with PTGS2,HSP90AA1,SARS-CoV-23CL hydrolase and ACE2.Conclusion:The active compounds of Feiduqing formula may have a therapeutic effect on COVID-19 pneumonia through the action on PTGS2,HSP90AA1,SARS-CoV-23CL hydrolase and ACE2,and regulating many signaling pathways.

The effect of Jiangan Xiaozhi Formula on oxidative stress and inflammatory factors in patients with non-alcoholic fatty liver disease

Objective:To investigate the effects of Jiangan Xiaozhi Formula(JGXZ)on oxidative stress and inflammatory factors in patients with non-alcoholic fatty liver disease(NAFLD).Methods:Between September 2022 and December 2023,our hospital admitted a total of 58 patients with NAFLD.These patients were split into two groups at random:one for experimentation and the other for control.There were 27 patients in the experimental group at the end,compared to 26 in the control group,reasonable exercise,weight management,lipid regulation,and oral polyene phosphatidylcholine capsules(PPC).The experimental group received JGXZ in addition to the above treatments for 12 consecutive weeks.Changes in Traditional Chinese Medicine(TCM)syndrome scores,blood lipids,liver function indicators,the levels of oxidative stress markers,such as malondialdehyde(MDA),glutathione peroxidase(GSH-Px),and superoxide dismutase(SOD),as well as serum inflammatory factors,such as interleukin-6(IL-6),interleukin-8(IL-8),and tumor necrosis factor-α(TNF-α),were measured both before and after treatment.Results:After treatment,both groups showed significant reductions in TCM syndrome scores(P<0.05)and improvements in blood lipids,liver function indicators,inflammatory factors,and oxidative stress markers(P<0.05).Improvements were noticeably better in the experimental group than in the control group.(P<0.05).Conclusion:JGXZ can significantly improve clinical symptoms,regulate blood lipids,and protect liver function in patients with NAFLD.Its mechanism may be related to inhibiting inflammatory responses and regulating the balance of the oxidation-antioxidation system.

Clinical Efficacy of Ultrasonic Medicinal Penetration in the Removal of Blood Stasis and Alleviation of Zhuyu Juanbi Formula in the Treatment of Peripheral Neuropathy Induced by Paclitaxel

Objective: To observe the clinical efficacy and differences of the Zhuyu Juanbi formula delivered through ultrasound at Zusanli on patients with chemotherapy-induced peripheral neuropathy (CIPN) due to paclitaxel injection. Methods: A total of 72 breast cancer patients with CIPN were randomly divided into two groups. The treatment group (36 cases) was treated with oral methylcobalamin plus ultrasonic medicine permeating Zhuyu Juanbi formulae, while the control group (36 cases) was treated with oral methylcobalamin alone. Following two 2 cycles of continuous treatment, the efficacy of peripheral neurotoxicity, TCM syndrome score, FACT/GOG-Ntx score, total neuropathy score, and safety indicators of gynecological cancer patients were observed in the two groups. Result: In the treatment of CIPN, the addition of ultrasonic medicine permeating Zhuyu Juanbi formulae was more effective than oral methylcobalamin alone in reducing peripheral neurotoxicity and improving the quality of life of patients. The difference between the two groups was statistically significant (P < 0.05), and ultrasound drug penetration Zhuyu Juanbi formulae significantly reduced the FACT/ GOG-Ntx score and TNS score in the treatment group. In terms of drug safety, it rarely caused adverse reactions such as grade 3 and 4 leukopenia, and the safety profile was therefore good. Conclusion: The combination of ultrasonic medicine permeating Zhuyu Juanbi formulae and methylcobalamin has been demonstrated to be an effective treatment for peripheral neurotoxicity in patients with PIPN. It has been shown to significantly improve the clinical symptoms of PIPN patients, improve the quality of life of patients, and have a good safety profile.

边界元特征值分析及Burton-Miller法探究

运用围道积分方法将边界元非线性特征值问题转化为规模很小的广义特征值问题,从而构造出一种边界元特征值分析方法。数值算例验证了该方法的求解精度。针对外声场问题,通过对常规、法向导数和BurtonMiller边界积分方程的虚假特征频率的计算和比较,揭示了Burton-Miller法规避虚假特征频率的本质,并对其中的叠加常数的最优取值给出了一种新的解释。

Burton-Miller改进型边界方程的多频计算方法

提出了一种采用Burton-Miller改进型边界积分方程进行多频计算的方法。将Burton-Miller方程中的高奇异积分转化为弱奇异积分形式,获得Burton-Miller改进型边界积分方程;将方程中格林函数进行Taylor级数展开,并把波数从方程中分离出来,从而使随波数变化的计算矩阵表示为波数的矩阵级数形式。数值分析表明,本方法不仅保证了解在全波数范围内的唯一性,并且计算频率点数较多时可以节约大量时间,提高计算效率。

声学Burton-Miller方程边界元法GPU并行计算

基于GPU,对声学Burton-Miller积分方程的边界元解法进行并行计算.提出并行计算格式和程序实现方法,以及Burton-Miller方程中各类奇异(包括强奇异、超奇异)积分的GPU计算和局部修正方法.典型算例结果表明,在特征频率处可获得正确的解,具有较高精度,可在普通个人计算机上快速完成自由度超过2×105的声学边界元分析.为计算声学及相关工程领域的中、大规模声场分析问题提供一种快速、高效、简便的数值计算工具.