Based on the superiority of adaptive filtering algorithms designed with hyperbolic function-like objective functions,this paper proposes generalized spline adaptive filtering(SAF)algorithms designed with hyperbolic fu...Based on the superiority of adaptive filtering algorithms designed with hyperbolic function-like objective functions,this paper proposes generalized spline adaptive filtering(SAF)algorithms designed with hyperbolic function-like objective functions.Specifically,a series of generalized new SAF algorithms are proposed by introducing the q-deformed hyperbolic function as the cost function,named SAF-qDHSI,SAF-qDHCO,SAFqDHTA&SAF-qDHSE algorithms,respectively.Then,the proposed algorithm is theoretically demonstrated with detailed mean convergence and computational complexity analysis;secondly,the effect of different q values on the performance of the new algorithm is verified through data simulation;the new algorithm still has better performance under the interference of Gaussian noise and non-Gaussian noise even when facing the system mutation;finally,the new algorithm is verified through the measured engineering data,and the results show that the new algorithm has better convergence and robustness compared with the existing algorithm.In conclusion,the generalized algorithm based on the new cost function proposed in this paper is more effective in nonlinear system identification.展开更多
The M1/M2 phenotypic shift of microglia after spinal cord injury plays an important role in the regulation of neuroinflammation during the secondary injury phase of spinal cord injury.Regulation of shifting microglia ...The M1/M2 phenotypic shift of microglia after spinal cord injury plays an important role in the regulation of neuroinflammation during the secondary injury phase of spinal cord injury.Regulation of shifting microglia polarization from M1(neurotoxic and proinflammatory type)to M2(neuroprotective and anti-inflammatory type)after spinal cord injury appears to be crucial.Tryptanthrin possesses an anti-inflammatory biological function.However,its roles and the underlying molecular mechanisms in spinal cord injury remain unknown.In this study,we found that tryptanthrin inhibited microglia-derived inflammation by promoting polarization to the M2 phenotype in vitro.Tryptanthrin promoted M2 polarization through inactivating the cGAS/STING/NF-κB pathway.Additionally,we found that targeting the cGAS/STING/NF-κB pathway with tryptanthrin shifted microglia from the M1 to M2 phenotype after spinal cord injury,inhibited neuronal loss,and promoted tissue repair and functional recovery in a mouse model of spinal cord injury.Finally,using a conditional co-culture system,we found that microglia treated with tryptanthrin suppressed endoplasmic reticulum stress-related neuronal apoptosis.Taken together,these results suggest that by targeting the cGAS/STING/NF-κB axis,tryptanthrin attenuates microglia-derived neuroinflammation and promotes functional recovery after spinal cord injury through shifting microglia polarization to the M2 phenotype.展开更多
Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and repr...Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and representative numerical model of projectile flight requires a relatively good approximation of the aerodynamics.The aerodynamic coefficients of the projectile model should be described as a series of piecewise polynomial functions of the Mach number that ideally meet the following conditions:they are continuous,differentiable at least once,and have a relatively low degree.The paper provides the steps needed to generate such piecewise polynomial functions using readily available tools,and then compares Piecewise Cubic Hermite Interpolating Polynomial(PCHIP),cubic splines,and piecewise linear functions,and their variant,as potential curve fitting methods to approximate the aerodynamics of a generic small arms projectile.A key contribution of the paper is the application of PCHIP to the approximation of projectile aerodynamics,and its evaluation against a set of criteria.Finally,the paper provides a baseline assessment of the impact of the polynomial functions on flight trajectory predictions obtained with 6-degree-of-freedom simulations of a generic projectile.展开更多
This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to functional integ...This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to functional integral and integro-differential equations. For showing efficiency of the method we give some numerical examples.展开更多
According to the B-spline convolution mask, first, the contrast sensitiveness （CS） is computed and then is viewed as a noise sensitiveness coeficient （NSC） to adaptively determine a noise-recognized threshold valu...According to the B-spline convolution mask, first, the contrast sensitiveness （CS） is computed and then is viewed as a noise sensitiveness coeficient （NSC） to adaptively determine a noise-recognized threshold value. Based on the noise density function （NDF） in a 3×3 window, the filtering window size is adaptively adjusted, and then a median filter is used to eliminate the noise-marked pixels. The experiment results show that the proposed algorithm can preserve image detail information well and effectively remove the noises, particularly the impulse noises that is also called salt-and-pepper noises superimposed on the computed tomography （CT） and magnetic resonance imaging （MRI） medical images.展开更多
In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems ...In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.展开更多
A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the bu...A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the buckle of rolled strip and criterion of critical buckle is given.The computed results tally with those of experiment well,which provides theoretical basis and method for developing the mathematical model of flatness control.展开更多
In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with si...In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with simple knots or polynomial splint,the corollaries of this paper’s the-orems give corresponding results.展开更多
Ocean remote sensing satellites provide observations with high spatiotemporal resolution.However,the influence of clouds,fog,and haze frequently leads to significant data gaps.Accurate and effective estimation of thes...Ocean remote sensing satellites provide observations with high spatiotemporal resolution.However,the influence of clouds,fog,and haze frequently leads to significant data gaps.Accurate and effective estimation of these missing data is highly valuable for engineering and scientific research.In this study,the radial basis function(RBF)method is used to estimate the spatial distribution of total suspended matter(TSM)concentration in Hangzhou Bay using remote sensing data with severe data gaps.The estimation precision is validated by comparing the results with those of other commonly used interpolation methods,such as the Kriging method and the basic spline(B-spline)method.In addition,the applicability of the RBF method is explored.Results show that the estimation of the RBF method is significantly close to the observation in Hangzhou Bay.The average of the mean absolute error,mean relative error,and root mean square error in all the experiments is evidently smaller than those of the Kriging and B-spline interpolations,indicating that the proposed method is more appropriate for estimating the spatial distribution of the TSM in Hangzhou Bay.Finally,the TSM distribution in the blank observational area is predicted.This study can provide some reference values for handling watercolor remote sensing data.展开更多
BACKGROUND The relationship between hepatitis B surface antigen(HBsAg)concentrations,hepatitis B virus(HBV)DNA levels,and hepatic function in individuals with chronic hepatitis B(CHB)remains incompletely characterized...BACKGROUND The relationship between hepatitis B surface antigen(HBsAg)concentrations,hepatitis B virus(HBV)DNA levels,and hepatic function in individuals with chronic hepatitis B(CHB)remains incompletely characterized.AIM To examine the association of serum HBsAg concentrations with HBV DNA levels and hepatic function parameters in patients with CHB.METHODS A total of 110 individuals with CHB admitted to Kunming Third People’s Hospital between January 2023 and January 2025 were enrolled as the observation group,whereas 70 age-and sex-matched healthy individuals served as the control group.Fasting peripheral venous blood(5 mL)was collected from all participants.Serum HBsAg and HBV DNA levels(in the observation group),along with hepatic function markers,including total bilirubin(TBIL),aspartate aminotransferase(AST),and alanine aminotransferase(ALT),were measured in both groups.Pearson correlation analysis was used to assess the association between serum HBsAg levels and HBV DNA,TBIL,AST,and ALT levels in patients with CHB.Receiver operating characteristic(ROC)curve analysis was conducted to determine optimal cutoff values of HBsAg for predicting high viral load(HBV DNA≥10^(5) IU/mL)and significant liver injury(ALT≥2×upper limit of normal[ULN]).RESULTS HBsAg levels differed significantly across CHB phases:Immune tolerance(IT)phase(4.62±1.51 lgIU/mL),immune clearance(IC)phase(3.84±1.16 lgIU/mL),low replication(LR)phase(2.99±0.66 lgIU/mL),and HBV e antigen-negative hepatitis(ENH)phase(3.40±0.69 lgIU/mL).Corresponding HBV DNA levels were highest in the IT phase(7.41±1.83 log copies/mL),followed by the IC phase(6.03±1.92 log copies/mL),ENH phase(3.89±1.23 log copies/mL),and LR phase(2.55±1.00 log copies/mL).All hepatic function parameters in patients with CHB were significantly elevated compared to the healthy controls.Pearson correlation analysis showed significant positive associations between serum HBsAg levels and HBV DNA,TBIL,AST,and ALT levels.ROC analysis revealed that an HBsAg cutoff>4.09 lgIU/mL predicted HBV DNA≥105 IU/mL(high viral load)with 88.57%sensitivity,78.67%specificity,and an area under the curve(AUC)of 0.868(P<0.001),while a cutoff>4.07 lgIU/mL predicted ALT≥2×ULN(significant liver injury)with 69.70%sensitivity,90.91%specificity,and an AUC of 0.821(P<0.001).CONCLUSION Serum HBsAg,a noninvasive serological marker,holds significant clinical value in CHB management by aiding in the stratification of viral burden and the prediction of hepatic impairment.展开更多
Chronic hepatitis B(CHB)remains a significant global health challenge,affecting more than 250 million individuals worldwide.A functional cure,defined as the loss of hepatitis B surface antigen(HBsAg)and suppression of...Chronic hepatitis B(CHB)remains a significant global health challenge,affecting more than 250 million individuals worldwide.A functional cure,defined as the loss of hepatitis B surface antigen(HBsAg)and suppression of hepatitis B virus(HBV)DNA to undetectable levels,represents the optimal therapeutic endpoint for managing CHB.However,the complex pathogenesis of CHB,which includes HBV DNA integration,persistence of covalently closed circular DNA,and impaired immune responses,presents substantial barriers to HBsAg clearance.Current therapies offer limited success in achieving a functional cure,with HBsAg seroclearance occurring in only 3%-5%of patients after 10 years of nucleos(t)ide analogs(NAs)therapy and 8%-14%within 3-5 years of pegylated interferon treatment.To overcome these limitations,novel direct-acting antivirals targeting different stages of the HBV life cycle are being investigated.Additionally,immunomodulatory approaches,including therapeutic vaccines and immune checkpoint inhibitors,are being explored to enhance HBV-specific immune responses.The concept of NAs cessation in carefully selected non-cirrhotic patients may accelerate HBsAg loss,although the risks of hepatic flare and hepatocellular carcinoma necessitate rigorous monitoring.This review provides a comprehensive overview of the current understanding of HBsAg seroclearance in CHB,discussing its clinical significance,therapeutic challenges,and evolving treatment landscape in the pursuit of a functional cure.展开更多
BACKGROUND Occult hepatitis B virus infection(OBI)is defined by the detection of replication-competent hepatitis B virus(HBV)DNA in the liver and/or blood despite the ab-sence of detectable hepatitis B surface antigen...BACKGROUND Occult hepatitis B virus infection(OBI)is defined by the detection of replication-competent hepatitis B virus(HBV)DNA in the liver and/or blood despite the ab-sence of detectable hepatitis B surface antigen(HBsAg)using conventional ser-ological assays.Although OBI has been well-documented in individuals with resolved HBV infection or those receiving immunosuppressive therapy,reports of its occurrence during sequential antiviral treatment remain scarce.This report describes a case of chronic hepatitis B(CHB)transitioning through OBI during sequential combination therapy before ultimately achieving a functional cure.This case provides new insights into the emergence of OBI as a transitional phase during CHB treatment and emphasizes the importance of monitoring its clinical significance.CASE SUMMARY A 33-year-old Chinese male was diagnosed with HBV infection in 2001.The patient first presented in 2012 with abnormal liver function tests and received initial treatment with conventional interferon therapy,which failed to achieve a virological response.Antiviral therapy was subsequently switched to entecavir monotherapy.By August 2019,the patient exhibited an HBsAg level of 29.93 IU/mL with undetectable HBV DNA(<25 IU/mL).At this point,combination therapy with entecavir and pegylated interferonα(PEG-IFNα)was initiated.Remarkably,while HBsAg declined to 0.42 IU/mL by April 2020,a paradoxical HBV DNA rebound to 173 IU/mL was observed.The regimen was consequently modified to tenofovir alafenamide and PEG-IFNα.By October 2020,the patient achieved HBsAg seroconversion(HBsAg 0.01 IU/mL,hepatitis B surface antibody 52.18 mIU/mL)for the first time,while maintaining low-level viremia(37 IU/mL),consistent with transition to OBI.The patient was then switched to PEG-IFNαmonotherapy.In November 2021,he discontinued PEG-IFNαtherapy,and one month later,both HBV DNA(<10 IU/mL)and HBsAg(<0.05 IU/mL)were negative.This response has been sustained through follow-up.CONCLUSION This case study illustrates the efficacy of sequential combination therapy in achieving functional cure in CHB patients,including those with a prolonged infection history.It highlights OBI as a transitional yet underrecognized phase during sequential antiviral therapy.While the patient ultimately achieved functional cure,the transient persistence of HBV DNA despite HBsAg clearance suggests the need for continued monitoring.This case provides new insights into OBI development during treatment and underscores the importance of further research into its long-term implications.展开更多
In this paper,the forecasting equations of a 2nd-order space-time differential remainder are deduced from the Navier-Stokes primitive equations and Eulerian operator by Taylor-series expansion.Here we introduce a cubi...In this paper,the forecasting equations of a 2nd-order space-time differential remainder are deduced from the Navier-Stokes primitive equations and Eulerian operator by Taylor-series expansion.Here we introduce a cubic spline numerical model(Spline Model for short),which is with a quasi-Lagrangian time-split integration scheme of fitting cubic spline/bicubic surface to all physical variable fields in the atmospheric equations on spherical discrete latitude-longitude mesh.A new algorithm of"fitting cubic spline—time step integration—fitting cubic spline—……"is developed to determine their first-and2nd-order derivatives and their upstream points for time discrete integral to the governing equations in Spline Model.And the cubic spline function and its mathematical polarities are also discussed to understand the Spline Model’s mathematical foundation of numerical analysis.It is pointed out that the Spline Model has mathematical laws of"convergence"of the cubic spline functions contracting to the original functions as well as its 1st-order and 2nd-order derivatives.The"optimality"of the 2nd-order derivative of the cubic spline functions is optimal approximation to that of the original functions.In addition,a Hermite bicubic patch is equivalent to operate on a grid for a 2nd-order derivative variable field.Besides,the slopes and curvatures of a central difference are identified respectively,with a smoothing coefficient of 1/3,three-point smoothing of that of a cubic spline.Then the slopes and curvatures of a central difference are calculated from the smoothing coefficient 1/3 and three-point smoothing of that of a cubic spline,respectively.Furthermore,a global simulation case of adiabatic,non-frictional and"incompressible"model atmosphere is shown with the quasi-Lagrangian time integration by using a global Spline Model,whose initial condition comes from the NCEP reanalysis data,along with quasi-uniform latitude-longitude grids and the so-called"shallow atmosphere"Navier-Stokes primitive equations in the spherical coordinates.The Spline Model,which adopted the Navier-Stokes primitive equations and quasi-Lagrangian time-split integration scheme,provides an initial ideal case of global atmospheric circulation.In addition,considering the essentially non-linear atmospheric motions,the Spline Model could judge reasonably well simple points of any smoothed variable field according to its fitting spline curvatures that must conform to its physical interpretation.展开更多
The following article has been retracted due to the investigation of complaints received against it. The Editorial Board found that substantial portions of the text came from other published papers. The scientific com...The following article has been retracted due to the investigation of complaints received against it. The Editorial Board found that substantial portions of the text came from other published papers. The scientific community takes a very strong view on this matter, and the Health treats all unethical behavior such as plagiarism seriously. This paper published in Vol.3 No. 4, 334-339, 2012, has been removed from this site.展开更多
BACKGROUND ATP-binding cassette subfamily B member 4(ABCB4)deficiency is associated with cholestatic liver disease primarily because of missense mutations,and many variants remain unidentified.Here,we validate the pat...BACKGROUND ATP-binding cassette subfamily B member 4(ABCB4)deficiency is associated with cholestatic liver disease primarily because of missense mutations,and many variants remain unidentified.Here,we validate the pathogenicity and mechanism of ABCB4 variants in clinical and in vitro trials,hypothesizing that these variants are responsible for impaired biliary function and contribute to the development of cholestatic liver diseases.AIM To clarify the functional features and pathogenicity of ABCB4 variants.METHODS Clinical data were collected from five patients with cholestatic liver disease that was initially not detected by routine examinations.Later,whole-exome sequencing confirmed ABCB4 variants and the patients were treated from January 2017 to December 2023.Pathogenic mechanisms were analyzed using bioinformatics tools,and a cell model in vitro was established to investigate ABCB4 mRNA expression,multidrug resistance protein 3(MDR3)expression,cellular localization,and phosphatidylcholine secretion.Results were compared using Student's t-tests.RESULTS Five missense variants(c.1757T>A,c.1865G>A,c.2362C>T,c.2777C>T and c.3250C>T),one intron variant(c.537-32G>T),and one synonymous(c.C504T)variant were identified.Three of the five patients had various degrees of cholestasis,two presented with liver cirrhosis,and all had elevated gamma-glutamyl transferase.Three of the four patients who underwent a liver biopsy had bile duct dilation,and one had gallstones.Two of the four patients had normal and reduced MDR3 immunohistochemical levels.Bioinformatic analysis indicated that these variants were likely pathogenic except c.C504T variant.None of the missense variants influenced subcellular MDR3 Localization in vitro.However,the c.1865G>A variant significantly decreased ABCB4 mRNA values,and all missense variants down-regulated phosphatidylcholine secretion.CONCLUSION This study uncovered new ABCB4 variants and emphasized the pathogenic potential of specific variants.The findings from five patients provided insight into the pathogenic mechanisms underlying ABCB4-related diseases.展开更多
In this paper, Von Karman's set of nonlinear equations for rectangular plates with large deflection is divided into several sets of linear equations by perturbation method, the dimensionless center deflection bein...In this paper, Von Karman's set of nonlinear equations for rectangular plates with large deflection is divided into several sets of linear equations by perturbation method, the dimensionless center deflection being taken as a perturbation parameter. These sets of linear equations are solved by the spline finite-point (SFP) method and by the spline finite element (SFE) method. The solutions for rectangular plates having any length-to-width ratios under a uniformly distributed load and with various boundary conditions are presented, and the analytical formulas for displacements and deflections are given in the paper. The computer programs are worked out by ourselves. Comparison of the results with those in other papers indicates that the results of this paper are satisfactorily better.展开更多
BACKGROUND Patients with chronic hepatitis B(CHB)require long-term antiviral therapy.The effects of different antiviral drugs on kidney function are unclear.There is a lack of effective markers for monitoring early re...BACKGROUND Patients with chronic hepatitis B(CHB)require long-term antiviral therapy.The effects of different antiviral drugs on kidney function are unclear.There is a lack of effective markers for monitoring early renal impairment.AIM To investigate the rate of abnormal renal function index and related potential hazards in patients with CHB.METHODS Clinical data of patients with CHB with urinaryβ2-microglobulin(β2-M)detec-tion,including demographic characteristics,hepatitis B virus(HBV)DNA,serum liver function(alanine aminotransferase,aspartate aminotransferase,total bilirubin,direct bilirubin),serum renal function(urea nitrogen,creatinine),blood lipid index(high density lipoprotein,low density lipoprotein,cholesterol,trigly-ceride),liver imaging,and other routine tests were retrospectively collected.The normal level of urinaryβ2-M and estimated glomerular filtration rate(eGFR)is defined as<0.173 mg/L and≥90 mL/min/1.73 m^(2),retrospectively.The pro-portion of patients with abnormal renal function index and related risk factors were analyzed.RESULTS A total of 500 patients with CHB were enrolled;these patients were aged 44.7±10.8 years,67.2%(336/500)were male,57.2%(286/500)were treated with anti-viral drugs,and 52.2%(261/500)had an HBV-related family history.In total,28.8%(144/500)of patients had fatty liver,35.0%(175/500)had liver fibrosis,and 13.2%(66/500)had cirrhosis.The proportion of patients with eGFR<90 mL/min/1.73 m^(2) was 43.2%(216/500),and the abnormal rate of urinaryβ2-M was 56.2%(281/500).There was no significant difference in the abnormal rate of urinaryβ2-M between the untreated group and the antiviral treated group(54.2%vs 57.7%;P=0.25).The abnormal rate ofβ2-M after long-term entecavir treatment(more than 1 year)was 54.6%(89/163).In the treatment group,56.4%(92/163)of patients with eGFR≥90 mL/min/1.73 m^(2) had abnormal urinaryβ2-M.CONCLUSION In patients with CHB,a higher proportion had greater urinaryβ2-M levels than eGFR for renal injury.Male patients should pay more attention to renal function and use antiviral regimens with a renal safety profile.展开更多
In this paper,the kernel of the cubic spline interpolation is given.An optimal error bound for the cu- bic spline interpolation of lower smooth functions is obtained.
Background The aim of this study was to determine whether and how Zn proteinate with moderate chelation strength(Zn-Prot M)can alleviate heat stress(HS)-induced intestinal barrier function damage of broilers.A complet...Background The aim of this study was to determine whether and how Zn proteinate with moderate chelation strength(Zn-Prot M)can alleviate heat stress(HS)-induced intestinal barrier function damage of broilers.A completely randomized design was used for comparatively testing the effects of Zn proteinate on HS and non-HS broilers.Under high temperature(HT),a 1(Control,HT-CON)+2(Zn source)×2(added Zn level)factorial arrangement of treatments was used.The 2 added Zn sources were Zn-Prot M and Zn sulfate(ZnS),and the 2 added Zn levels were 30 and 60 mg/kg.Under normal temperature(NT),a CON group(NT-CON)and pair-fed group(NT-PF)were included.Results The results showed that HS significantly reduced mRNA and protein expression levels of claudin-1,occludin,junctional adhesion molecule-A(JAMA),zonula occludens-1(ZO-1)and zinc finger protein A20(A20)in the jejunum,and HS also remarkably increased serum fluorescein isothiocyanate dextran(FITC-D),endotoxin and interleukin(IL)-1βcontents,serum diamine oxidase(DAO)and matrix metalloproteinase(MMP)-2 activities,nuclear factor kappa-B(NF-κB)p65 mRNA expression level,and protein expression levels of NF-κB p65 and MMP-2 in the jejunum.However,dietary supplementation with Zn,especially organic Zn as Zn-Prot M at 60 mg/kg,significantly decreased serum FITC-D,endotoxin and IL-1βcontents,serum DAO and MMP-2 activities,NF-κB p65 mRNA expression level,and protein expression levels of NF-κB p65 and MMP-2 in the jejunum of HS broilers,and notably promoted mRNA and protein expression levels of claudin-1,ZO-1 and A20.Conclusions Our results suggest that dietary Zn,especially 60 mg Zn/kg as Zn-Prot M,can alleviate HS-induced intestinal barrier function damage by promoting the expression of TJ proteins possibly via induction of A20-mediated suppression of the NF-κB p65/MMP-2 pathway in the jejunum of HS broilers.展开更多
基金financially supported by the National Natural Science Foundation of China (8225041038)the Sichuan Science and Technology Program (23NSFSC2916)the Fundamental Research Funds for the Central Universities, Southwest Minzu University (ZYN2024077)
文摘Based on the superiority of adaptive filtering algorithms designed with hyperbolic function-like objective functions,this paper proposes generalized spline adaptive filtering(SAF)algorithms designed with hyperbolic function-like objective functions.Specifically,a series of generalized new SAF algorithms are proposed by introducing the q-deformed hyperbolic function as the cost function,named SAF-qDHSI,SAF-qDHCO,SAFqDHTA&SAF-qDHSE algorithms,respectively.Then,the proposed algorithm is theoretically demonstrated with detailed mean convergence and computational complexity analysis;secondly,the effect of different q values on the performance of the new algorithm is verified through data simulation;the new algorithm still has better performance under the interference of Gaussian noise and non-Gaussian noise even when facing the system mutation;finally,the new algorithm is verified through the measured engineering data,and the results show that the new algorithm has better convergence and robustness compared with the existing algorithm.In conclusion,the generalized algorithm based on the new cost function proposed in this paper is more effective in nonlinear system identification.
基金supported by the National Natural Science Foundation of China,Nos.82071387(to HT),81971172(to YW)the Natural Science Foundation of Zhejiang Province,China,No.LY22H090012(to HT)the Basic Research Project of Wenzhou City,China,No.Y20220923(to MZ)。
文摘The M1/M2 phenotypic shift of microglia after spinal cord injury plays an important role in the regulation of neuroinflammation during the secondary injury phase of spinal cord injury.Regulation of shifting microglia polarization from M1(neurotoxic and proinflammatory type)to M2(neuroprotective and anti-inflammatory type)after spinal cord injury appears to be crucial.Tryptanthrin possesses an anti-inflammatory biological function.However,its roles and the underlying molecular mechanisms in spinal cord injury remain unknown.In this study,we found that tryptanthrin inhibited microglia-derived inflammation by promoting polarization to the M2 phenotype in vitro.Tryptanthrin promoted M2 polarization through inactivating the cGAS/STING/NF-κB pathway.Additionally,we found that targeting the cGAS/STING/NF-κB pathway with tryptanthrin shifted microglia from the M1 to M2 phenotype after spinal cord injury,inhibited neuronal loss,and promoted tissue repair and functional recovery in a mouse model of spinal cord injury.Finally,using a conditional co-culture system,we found that microglia treated with tryptanthrin suppressed endoplasmic reticulum stress-related neuronal apoptosis.Taken together,these results suggest that by targeting the cGAS/STING/NF-κB axis,tryptanthrin attenuates microglia-derived neuroinflammation and promotes functional recovery after spinal cord injury through shifting microglia polarization to the M2 phenotype.
文摘Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and representative numerical model of projectile flight requires a relatively good approximation of the aerodynamics.The aerodynamic coefficients of the projectile model should be described as a series of piecewise polynomial functions of the Mach number that ideally meet the following conditions:they are continuous,differentiable at least once,and have a relatively low degree.The paper provides the steps needed to generate such piecewise polynomial functions using readily available tools,and then compares Piecewise Cubic Hermite Interpolating Polynomial(PCHIP),cubic splines,and piecewise linear functions,and their variant,as potential curve fitting methods to approximate the aerodynamics of a generic small arms projectile.A key contribution of the paper is the application of PCHIP to the approximation of projectile aerodynamics,and its evaluation against a set of criteria.Finally,the paper provides a baseline assessment of the impact of the polynomial functions on flight trajectory predictions obtained with 6-degree-of-freedom simulations of a generic projectile.
文摘This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to functional integral and integro-differential equations. For showing efficiency of the method we give some numerical examples.
基金supported by Foundation of 11th Five-year Plan for Key Construction Academic Subject (Optics) of Hunan Province,PRC, Outstanding Young Scientific Research Fund of Hunan Provincial Education Department, PRC (No. 09B071)Scientific Research Fund of Hunan Provincial Education Department, PRC(No. 06C581)
文摘According to the B-spline convolution mask, first, the contrast sensitiveness （CS） is computed and then is viewed as a noise sensitiveness coeficient （NSC） to adaptively determine a noise-recognized threshold value. Based on the noise density function （NDF） in a 3×3 window, the filtering window size is adaptively adjusted, and then a median filter is used to eliminate the noise-marked pixels. The experiment results show that the proposed algorithm can preserve image detail information well and effectively remove the noises, particularly the impulse noises that is also called salt-and-pepper noises superimposed on the computed tomography （CT） and magnetic resonance imaging （MRI） medical images.
文摘In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.
文摘A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the buckle of rolled strip and criterion of critical buckle is given.The computed results tally with those of experiment well,which provides theoretical basis and method for developing the mathematical model of flatness control.
文摘In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with simple knots or polynomial splint,the corollaries of this paper’s the-orems give corresponding results.
基金supported by the Open Funds for Hubei Key Laboratory of Marine Geological Resources,China University of Geosciences(No.MGR202308)the Natural Science Foundation of Shandong Province(No.ZR2020MD085)+3 种基金the National Natural Science Foundation of China(No.41821004)the Taishan Scholar Program(No.tstp2022114)the Shandong Provincial Natural Science Foundation(No.DKXZZ202206)the National Key Research and Development Program of China(No.2016YFC1402404).
文摘Ocean remote sensing satellites provide observations with high spatiotemporal resolution.However,the influence of clouds,fog,and haze frequently leads to significant data gaps.Accurate and effective estimation of these missing data is highly valuable for engineering and scientific research.In this study,the radial basis function(RBF)method is used to estimate the spatial distribution of total suspended matter(TSM)concentration in Hangzhou Bay using remote sensing data with severe data gaps.The estimation precision is validated by comparing the results with those of other commonly used interpolation methods,such as the Kriging method and the basic spline(B-spline)method.In addition,the applicability of the RBF method is explored.Results show that the estimation of the RBF method is significantly close to the observation in Hangzhou Bay.The average of the mean absolute error,mean relative error,and root mean square error in all the experiments is evidently smaller than those of the Kriging and B-spline interpolations,indicating that the proposed method is more appropriate for estimating the spatial distribution of the TSM in Hangzhou Bay.Finally,the TSM distribution in the blank observational area is predicted.This study can provide some reference values for handling watercolor remote sensing data.
文摘BACKGROUND The relationship between hepatitis B surface antigen(HBsAg)concentrations,hepatitis B virus(HBV)DNA levels,and hepatic function in individuals with chronic hepatitis B(CHB)remains incompletely characterized.AIM To examine the association of serum HBsAg concentrations with HBV DNA levels and hepatic function parameters in patients with CHB.METHODS A total of 110 individuals with CHB admitted to Kunming Third People’s Hospital between January 2023 and January 2025 were enrolled as the observation group,whereas 70 age-and sex-matched healthy individuals served as the control group.Fasting peripheral venous blood(5 mL)was collected from all participants.Serum HBsAg and HBV DNA levels(in the observation group),along with hepatic function markers,including total bilirubin(TBIL),aspartate aminotransferase(AST),and alanine aminotransferase(ALT),were measured in both groups.Pearson correlation analysis was used to assess the association between serum HBsAg levels and HBV DNA,TBIL,AST,and ALT levels in patients with CHB.Receiver operating characteristic(ROC)curve analysis was conducted to determine optimal cutoff values of HBsAg for predicting high viral load(HBV DNA≥10^(5) IU/mL)and significant liver injury(ALT≥2×upper limit of normal[ULN]).RESULTS HBsAg levels differed significantly across CHB phases:Immune tolerance(IT)phase(4.62±1.51 lgIU/mL),immune clearance(IC)phase(3.84±1.16 lgIU/mL),low replication(LR)phase(2.99±0.66 lgIU/mL),and HBV e antigen-negative hepatitis(ENH)phase(3.40±0.69 lgIU/mL).Corresponding HBV DNA levels were highest in the IT phase(7.41±1.83 log copies/mL),followed by the IC phase(6.03±1.92 log copies/mL),ENH phase(3.89±1.23 log copies/mL),and LR phase(2.55±1.00 log copies/mL).All hepatic function parameters in patients with CHB were significantly elevated compared to the healthy controls.Pearson correlation analysis showed significant positive associations between serum HBsAg levels and HBV DNA,TBIL,AST,and ALT levels.ROC analysis revealed that an HBsAg cutoff>4.09 lgIU/mL predicted HBV DNA≥105 IU/mL(high viral load)with 88.57%sensitivity,78.67%specificity,and an area under the curve(AUC)of 0.868(P<0.001),while a cutoff>4.07 lgIU/mL predicted ALT≥2×ULN(significant liver injury)with 69.70%sensitivity,90.91%specificity,and an AUC of 0.821(P<0.001).CONCLUSION Serum HBsAg,a noninvasive serological marker,holds significant clinical value in CHB management by aiding in the stratification of viral burden and the prediction of hepatic impairment.
文摘Chronic hepatitis B(CHB)remains a significant global health challenge,affecting more than 250 million individuals worldwide.A functional cure,defined as the loss of hepatitis B surface antigen(HBsAg)and suppression of hepatitis B virus(HBV)DNA to undetectable levels,represents the optimal therapeutic endpoint for managing CHB.However,the complex pathogenesis of CHB,which includes HBV DNA integration,persistence of covalently closed circular DNA,and impaired immune responses,presents substantial barriers to HBsAg clearance.Current therapies offer limited success in achieving a functional cure,with HBsAg seroclearance occurring in only 3%-5%of patients after 10 years of nucleos(t)ide analogs(NAs)therapy and 8%-14%within 3-5 years of pegylated interferon treatment.To overcome these limitations,novel direct-acting antivirals targeting different stages of the HBV life cycle are being investigated.Additionally,immunomodulatory approaches,including therapeutic vaccines and immune checkpoint inhibitors,are being explored to enhance HBV-specific immune responses.The concept of NAs cessation in carefully selected non-cirrhotic patients may accelerate HBsAg loss,although the risks of hepatic flare and hepatocellular carcinoma necessitate rigorous monitoring.This review provides a comprehensive overview of the current understanding of HBsAg seroclearance in CHB,discussing its clinical significance,therapeutic challenges,and evolving treatment landscape in the pursuit of a functional cure.
文摘BACKGROUND Occult hepatitis B virus infection(OBI)is defined by the detection of replication-competent hepatitis B virus(HBV)DNA in the liver and/or blood despite the ab-sence of detectable hepatitis B surface antigen(HBsAg)using conventional ser-ological assays.Although OBI has been well-documented in individuals with resolved HBV infection or those receiving immunosuppressive therapy,reports of its occurrence during sequential antiviral treatment remain scarce.This report describes a case of chronic hepatitis B(CHB)transitioning through OBI during sequential combination therapy before ultimately achieving a functional cure.This case provides new insights into the emergence of OBI as a transitional phase during CHB treatment and emphasizes the importance of monitoring its clinical significance.CASE SUMMARY A 33-year-old Chinese male was diagnosed with HBV infection in 2001.The patient first presented in 2012 with abnormal liver function tests and received initial treatment with conventional interferon therapy,which failed to achieve a virological response.Antiviral therapy was subsequently switched to entecavir monotherapy.By August 2019,the patient exhibited an HBsAg level of 29.93 IU/mL with undetectable HBV DNA(<25 IU/mL).At this point,combination therapy with entecavir and pegylated interferonα(PEG-IFNα)was initiated.Remarkably,while HBsAg declined to 0.42 IU/mL by April 2020,a paradoxical HBV DNA rebound to 173 IU/mL was observed.The regimen was consequently modified to tenofovir alafenamide and PEG-IFNα.By October 2020,the patient achieved HBsAg seroconversion(HBsAg 0.01 IU/mL,hepatitis B surface antibody 52.18 mIU/mL)for the first time,while maintaining low-level viremia(37 IU/mL),consistent with transition to OBI.The patient was then switched to PEG-IFNαmonotherapy.In November 2021,he discontinued PEG-IFNαtherapy,and one month later,both HBV DNA(<10 IU/mL)and HBsAg(<0.05 IU/mL)were negative.This response has been sustained through follow-up.CONCLUSION This case study illustrates the efficacy of sequential combination therapy in achieving functional cure in CHB patients,including those with a prolonged infection history.It highlights OBI as a transitional yet underrecognized phase during sequential antiviral therapy.While the patient ultimately achieved functional cure,the transient persistence of HBV DNA despite HBsAg clearance suggests the need for continued monitoring.This case provides new insights into OBI development during treatment and underscores the importance of further research into its long-term implications.
文摘In this paper,the forecasting equations of a 2nd-order space-time differential remainder are deduced from the Navier-Stokes primitive equations and Eulerian operator by Taylor-series expansion.Here we introduce a cubic spline numerical model(Spline Model for short),which is with a quasi-Lagrangian time-split integration scheme of fitting cubic spline/bicubic surface to all physical variable fields in the atmospheric equations on spherical discrete latitude-longitude mesh.A new algorithm of"fitting cubic spline—time step integration—fitting cubic spline—……"is developed to determine their first-and2nd-order derivatives and their upstream points for time discrete integral to the governing equations in Spline Model.And the cubic spline function and its mathematical polarities are also discussed to understand the Spline Model’s mathematical foundation of numerical analysis.It is pointed out that the Spline Model has mathematical laws of"convergence"of the cubic spline functions contracting to the original functions as well as its 1st-order and 2nd-order derivatives.The"optimality"of the 2nd-order derivative of the cubic spline functions is optimal approximation to that of the original functions.In addition,a Hermite bicubic patch is equivalent to operate on a grid for a 2nd-order derivative variable field.Besides,the slopes and curvatures of a central difference are identified respectively,with a smoothing coefficient of 1/3,three-point smoothing of that of a cubic spline.Then the slopes and curvatures of a central difference are calculated from the smoothing coefficient 1/3 and three-point smoothing of that of a cubic spline,respectively.Furthermore,a global simulation case of adiabatic,non-frictional and"incompressible"model atmosphere is shown with the quasi-Lagrangian time integration by using a global Spline Model,whose initial condition comes from the NCEP reanalysis data,along with quasi-uniform latitude-longitude grids and the so-called"shallow atmosphere"Navier-Stokes primitive equations in the spherical coordinates.The Spline Model,which adopted the Navier-Stokes primitive equations and quasi-Lagrangian time-split integration scheme,provides an initial ideal case of global atmospheric circulation.In addition,considering the essentially non-linear atmospheric motions,the Spline Model could judge reasonably well simple points of any smoothed variable field according to its fitting spline curvatures that must conform to its physical interpretation.
文摘The following article has been retracted due to the investigation of complaints received against it. The Editorial Board found that substantial portions of the text came from other published papers. The scientific community takes a very strong view on this matter, and the Health treats all unethical behavior such as plagiarism seriously. This paper published in Vol.3 No. 4, 334-339, 2012, has been removed from this site.
基金Supported by the National Natural Science Foundation of China,No.81970454.
文摘BACKGROUND ATP-binding cassette subfamily B member 4(ABCB4)deficiency is associated with cholestatic liver disease primarily because of missense mutations,and many variants remain unidentified.Here,we validate the pathogenicity and mechanism of ABCB4 variants in clinical and in vitro trials,hypothesizing that these variants are responsible for impaired biliary function and contribute to the development of cholestatic liver diseases.AIM To clarify the functional features and pathogenicity of ABCB4 variants.METHODS Clinical data were collected from five patients with cholestatic liver disease that was initially not detected by routine examinations.Later,whole-exome sequencing confirmed ABCB4 variants and the patients were treated from January 2017 to December 2023.Pathogenic mechanisms were analyzed using bioinformatics tools,and a cell model in vitro was established to investigate ABCB4 mRNA expression,multidrug resistance protein 3(MDR3)expression,cellular localization,and phosphatidylcholine secretion.Results were compared using Student's t-tests.RESULTS Five missense variants(c.1757T>A,c.1865G>A,c.2362C>T,c.2777C>T and c.3250C>T),one intron variant(c.537-32G>T),and one synonymous(c.C504T)variant were identified.Three of the five patients had various degrees of cholestasis,two presented with liver cirrhosis,and all had elevated gamma-glutamyl transferase.Three of the four patients who underwent a liver biopsy had bile duct dilation,and one had gallstones.Two of the four patients had normal and reduced MDR3 immunohistochemical levels.Bioinformatic analysis indicated that these variants were likely pathogenic except c.C504T variant.None of the missense variants influenced subcellular MDR3 Localization in vitro.However,the c.1865G>A variant significantly decreased ABCB4 mRNA values,and all missense variants down-regulated phosphatidylcholine secretion.CONCLUSION This study uncovered new ABCB4 variants and emphasized the pathogenic potential of specific variants.The findings from five patients provided insight into the pathogenic mechanisms underlying ABCB4-related diseases.
文摘In this paper, Von Karman's set of nonlinear equations for rectangular plates with large deflection is divided into several sets of linear equations by perturbation method, the dimensionless center deflection being taken as a perturbation parameter. These sets of linear equations are solved by the spline finite-point (SFP) method and by the spline finite element (SFE) method. The solutions for rectangular plates having any length-to-width ratios under a uniformly distributed load and with various boundary conditions are presented, and the analytical formulas for displacements and deflections are given in the paper. The computer programs are worked out by ourselves. Comparison of the results with those in other papers indicates that the results of this paper are satisfactorily better.
文摘BACKGROUND Patients with chronic hepatitis B(CHB)require long-term antiviral therapy.The effects of different antiviral drugs on kidney function are unclear.There is a lack of effective markers for monitoring early renal impairment.AIM To investigate the rate of abnormal renal function index and related potential hazards in patients with CHB.METHODS Clinical data of patients with CHB with urinaryβ2-microglobulin(β2-M)detec-tion,including demographic characteristics,hepatitis B virus(HBV)DNA,serum liver function(alanine aminotransferase,aspartate aminotransferase,total bilirubin,direct bilirubin),serum renal function(urea nitrogen,creatinine),blood lipid index(high density lipoprotein,low density lipoprotein,cholesterol,trigly-ceride),liver imaging,and other routine tests were retrospectively collected.The normal level of urinaryβ2-M and estimated glomerular filtration rate(eGFR)is defined as<0.173 mg/L and≥90 mL/min/1.73 m^(2),retrospectively.The pro-portion of patients with abnormal renal function index and related risk factors were analyzed.RESULTS A total of 500 patients with CHB were enrolled;these patients were aged 44.7±10.8 years,67.2%(336/500)were male,57.2%(286/500)were treated with anti-viral drugs,and 52.2%(261/500)had an HBV-related family history.In total,28.8%(144/500)of patients had fatty liver,35.0%(175/500)had liver fibrosis,and 13.2%(66/500)had cirrhosis.The proportion of patients with eGFR<90 mL/min/1.73 m^(2) was 43.2%(216/500),and the abnormal rate of urinaryβ2-M was 56.2%(281/500).There was no significant difference in the abnormal rate of urinaryβ2-M between the untreated group and the antiviral treated group(54.2%vs 57.7%;P=0.25).The abnormal rate ofβ2-M after long-term entecavir treatment(more than 1 year)was 54.6%(89/163).In the treatment group,56.4%(92/163)of patients with eGFR≥90 mL/min/1.73 m^(2) had abnormal urinaryβ2-M.CONCLUSION In patients with CHB,a higher proportion had greater urinaryβ2-M levels than eGFR for renal injury.Male patients should pay more attention to renal function and use antiviral regimens with a renal safety profile.
文摘In this paper,the kernel of the cubic spline interpolation is given.An optimal error bound for the cu- bic spline interpolation of lower smooth functions is obtained.
基金Key International Cooperation Program of the National Natural Science Foundation of China(32120103011)Jiangsu Shuang Chuang Tuan Dui program(JSSCTD202147)+1 种基金Jiangsu Shuang Chuang Ren Cai program(JSSCRC2021541)Initiation Funds of Yangzhou University for Distinguished Scientists.
文摘Background The aim of this study was to determine whether and how Zn proteinate with moderate chelation strength(Zn-Prot M)can alleviate heat stress(HS)-induced intestinal barrier function damage of broilers.A completely randomized design was used for comparatively testing the effects of Zn proteinate on HS and non-HS broilers.Under high temperature(HT),a 1(Control,HT-CON)+2(Zn source)×2(added Zn level)factorial arrangement of treatments was used.The 2 added Zn sources were Zn-Prot M and Zn sulfate(ZnS),and the 2 added Zn levels were 30 and 60 mg/kg.Under normal temperature(NT),a CON group(NT-CON)and pair-fed group(NT-PF)were included.Results The results showed that HS significantly reduced mRNA and protein expression levels of claudin-1,occludin,junctional adhesion molecule-A(JAMA),zonula occludens-1(ZO-1)and zinc finger protein A20(A20)in the jejunum,and HS also remarkably increased serum fluorescein isothiocyanate dextran(FITC-D),endotoxin and interleukin(IL)-1βcontents,serum diamine oxidase(DAO)and matrix metalloproteinase(MMP)-2 activities,nuclear factor kappa-B(NF-κB)p65 mRNA expression level,and protein expression levels of NF-κB p65 and MMP-2 in the jejunum.However,dietary supplementation with Zn,especially organic Zn as Zn-Prot M at 60 mg/kg,significantly decreased serum FITC-D,endotoxin and IL-1βcontents,serum DAO and MMP-2 activities,NF-κB p65 mRNA expression level,and protein expression levels of NF-κB p65 and MMP-2 in the jejunum of HS broilers,and notably promoted mRNA and protein expression levels of claudin-1,ZO-1 and A20.Conclusions Our results suggest that dietary Zn,especially 60 mg Zn/kg as Zn-Prot M,can alleviate HS-induced intestinal barrier function damage by promoting the expression of TJ proteins possibly via induction of A20-mediated suppression of the NF-κB p65/MMP-2 pathway in the jejunum of HS broilers.
