This paper presents an explicit formula based on reparameterization technique for progressively computing a simple root of a smooth function,which may have wide applications in robotics,geomagnetic navigation,geometri...This paper presents an explicit formula based on reparameterization technique for progressively computing a simple root of a smooth function,which may have wide applications in robotics,geomagnetic navigation,geometric processing and computer graphics.Comparing with Newton-like method,it can achieve convergence rate 2 by adding one more functional evaluation,improve the computational stability and ensure the convergence,and also obtain higher convergence rate and higher efficiency index.Compared with clipping methods for polynomials,it doesn't need to bound the polynomials,directly bound the roots and can also work well for non-polynomial functions with much higher computational efficiency.Comparing with previous progressive methods,it achieves a much higher computational efficiency and is extended to solve bivariate equation system.Numerical examples show its much better performance on approximation error,computational efficiency and computational stability.展开更多
BACKGROUND Perimenopausal women are prone to anxiety and depression due to fluctuating hormone levels,which significantly impair their quality of life.The current treatments have certain limitations.In traditional Chi...BACKGROUND Perimenopausal women are prone to anxiety and depression due to fluctuating hormone levels,which significantly impair their quality of life.The current treatments have certain limitations.In traditional Chinese medicine,liver-soothing formulas are commonly prescribed for mood-related disorders,but their overall efficacy in perimenopausal anxiety and depression remains uncertain and requires verification through meta-analysis.AIM To provide evidence-based support for clinical decision-making and research,a meta-analysis was conducted to evaluate the effectiveness of liver-soothing formulas in treating perimenopausal anxiety and depression.METHODS Relevant studies published up to April 2025 were retrieved from ClinicalTrials.gov,PubMed,Web of Science,EMBASE,and the Cochrane Library.Eligible studies were screened according to predefined inclusion and exclusion criteria.Data were extracted and analyzed using the Stata 12.0 software.RESULTS After searching and screening,12 articles involving 1798 patients(922 in the treatment group and 876 in the control group)were included in the analysis.Meta-analysis showed that the standardized scores for anxiety[standardized mean difference(SMD)=-0.71,95%confidence interval(95%CI):-1.06 to-0.36]and depression(SMD=-0.67,95%CI:-1.06 to-0.27)of the treatment group were lower than those of the control group.Subgroup analysis results revealed that for anxiety,liver-soothing formulas used alone(SMD=-0.34,95%CI:-0.50 to-0.18)or in combination(SMD=-0.88,95%CI:-1.43 to-0.34)both significantly reduced scores compared with the control group.For depression,monotherapy of liversoothing formulas showed no significant statistical difference between the treatment and control groups(SMD=-0.47,95%CI:-1.11 to 0.17),whereas combination therapy produced significantly lower standardized scale scores in the treatment group than in the control group,with a statistically significant difference(SMD=-0.83,95%CI:-1.39 to-0.28).Regarding Greene scores,no statistically significant difference was observed with monotherapy(SMD=0.87,95%CI:-0.32 to 2.06),whereas combination therapy had significantly lower Greene scores(SMD=-0.24,95%CI:-0.44 to-0.04).No statistically significant difference was found between the groups in the occurrence of adverse reactions(odds ratio=0.90,95%CI:0.57-1.43).However,liver-soothing formulas did not affect estrogen levels in perimenopausal women.CONCLUSION Compared with placebo,conventional Western medicine,or other interventions,the monotherapy of liver-soothing formulas demonstrates superior efficacy in treating perimenopausal anxiety.When used as an adjuvant,they exert a synergistic effect in alleviating negative emotions and improving overall perimenopausal symptoms.展开更多
The non-uniqueness of solution and compatibility between the coupled boundary conditions in computing velocity potential and streamfunction from horizontal velocity in a limited domain of arbitrary shape are revisited...The non-uniqueness of solution and compatibility between the coupled boundary conditions in computing velocity potential and streamfunction from horizontal velocity in a limited domain of arbitrary shape are revisited theoretically with rigorous mathematic treatments.Classic integral formulas and their variants are used to formulate solutions for the coupled problems.In the absence of data holes,the total solution is the sum of two integral solutions.One is the internally induced solution produced purely and uniquely by the domain internal divergence and vorticity,and its two components（velocity potential and streamfunction） can be constructed by applying Green＇s function for Poisson equation in unbounded domain to the divergence and vorticity inside the domain.The other is the externally induced solution produced purely but non-uniquely by the domain external divergence and vorticity,and the non-uniqueness is caused by the harmonic nature of the solution and the unknown divergence and vorticity distributions outside the domain.By setting either the velocity potential（or streamfunction） component to zero,the other component of the externally induced solution can be expressed by the imaginary（or real） part of the Cauchy integral constructed using the coupled boundary conditions and solvability conditions that exclude the internally induced solution.The streamfunction（or velocity potential） for the externally induced solution can also be expressed by the boundary integral of a double-layer（or singlelayer） density function.In the presence of data holes,the total solution includes a data-hole-induced solution in addition to the above internally and externally induced solutions.展开更多
In the present study, 28 Chinese medicinal herbs belonging to traditional Chinese medicine(TCM) for the treatment of type 2 diabetes were selected to explore the application of network pharmacology in developing new C...In the present study, 28 Chinese medicinal herbs belonging to traditional Chinese medicine(TCM) for the treatment of type 2 diabetes were selected to explore the application of network pharmacology in developing new Chinese herbal medicine formulae for the treatment of type 2 diabetes mellitus(T2DM). These herbs have the highest appearance rate in the literature, and their compounds are listed. The human protein–protein interaction network and the T2DM disease protein interaction network were constructed. Then, the related algorithm for network topology was used to perform interventions on the interaction network of disease proteins and normal human proteins to test different Chinese herbal medicine compound combinations, according to the information on the interaction of compounds–targets in two databases, namely TarN et and the Medicinal Plants Database. Results of the intervention scores indicate that the method proposed in this study can provide new effective combinations of Chinese herbal medicines for T2DM. Network pharmacology can effectively promote the modernization and development of TCM.展开更多
Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the followi...Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the following nonlinear weighted p-heat equationand f is a smooth function on M under the assumptionthat the m-dimensional nonnegative Bakry-Emery Ricci curvature. Secondly, we show an entropy monotonicity formula with nonnegative m-dimensional Bakry-Emery Ricci curva- ture which is a generalization to the results of Kotschwar and Ni [9], Li [7].展开更多
To understand the mesoscopic mechanism of clayey soil in view of macroscopic behavior, it is essential to quantitatively calculate the electric double-layer repulsion between arbitrarily inclined clay particles.Howeve...To understand the mesoscopic mechanism of clayey soil in view of macroscopic behavior, it is essential to quantitatively calculate the electric double-layer repulsion between arbitrarily inclined clay particles.However, suitable calculation methods with high efficiency and accuracy are still rare at present in literature. Based on a great number of numerical calculations of the repulsion between two inclined platy clay particles, explicit empirical formulae for estimating electric double-layer repulsion between clay particles are put forward. Comparison between the empirical solutions and corresponding numerical results shows that the proposed formulae have a reasonable accuracy, and application of the presented formula is easy and efficient.展开更多
AIM:To evaluate different standard liver volume (SLV) formula and verify the applicability of the formulae for Chinese adults.METHODS: Data from 70 cases of living donor liver transplantation (LDLT) performed at our t...AIM:To evaluate different standard liver volume (SLV) formula and verify the applicability of the formulae for Chinese adults.METHODS: Data from 70 cases of living donor liver transplantation (LDLT) performed at our transplantation centers between January 2008 and April 2009 were analyzed. SLV was estimated using our recently reported formula [the Chengdu formula: SLV (mL)=11.5×body weight (kg) + 334] and other reported formulae used for Chinese adults. Actual intraoperative liver volumes were obtained from a review of the patients' medical records.RESULTS: The actual right liver volume was not significantly different from the estimated right liver volume determined by the Chengdu formula, but was significantly smaller than estimates using the Heinemann, Urata, Vauthey, and Lee formulae (P<0.01), and signif icantly larger than estimates using the Fan formula (P<0.05).CONCLUSION: The Chengdu formula was demonstrated to be reliable by its application in LDLT.展开更多
In this paper, we made a new breakthrough, which proposes a new recursion–transform（RT） method with potential parameters to evaluate the nodal potential in arbitrary resistor networks. For the first time, we found ...In this paper, we made a new breakthrough, which proposes a new recursion–transform（RT） method with potential parameters to evaluate the nodal potential in arbitrary resistor networks. For the first time, we found the exact potential formulae of arbitrary m × n cobweb and fan networks by the RT method, and the potential formulae of infinite and semi-infinite networks are derived. As applications, a series of interesting corollaries of potential formulae are given by using the general formula, the equivalent resistance formula is deduced by using the potential formula, and we find a new trigonometric identity by comparing two equivalence results with different forms.展开更多
Fifteen formulae of wave transmission coefficient for submerged breakwaters obtained during last 3 decades are presented, compared, and analyzed in this paper. The dimensionless parameters mainly involved in this disc...Fifteen formulae of wave transmission coefficient for submerged breakwaters obtained during last 3 decades are presented, compared, and analyzed in this paper. The dimensionless parameters mainly involved in this discussion are the relative submerged depth Re/h, relative wave height Rc/Hi, relative rubble size B/D50, relative breakwater width B√ HiL0 and wave breaker index ξ. It indicates that there exist notable differences among the computed results, which mainly originate from the limited experimental conditions and different analytical methods, even though the major tendency keeps similar. It is necessary to conduct more systematic studies to obtain better understanding about the mechanism of wave transmission over submerged breakwaters.展开更多
Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also gi...Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given.展开更多
TCM formulae are the important guidances for clinical application of traditional Chinese medicines,which follow the principles of diagnosis and treatment in TCM.Elucidating the bio-active components of TCM formulae is...TCM formulae are the important guidances for clinical application of traditional Chinese medicines,which follow the principles of diagnosis and treatment in TCM.Elucidating the bio-active components of TCM formulae is the key to the modernization and internationalization of traditional Chinese medicines.With the rapid development of modern instruments and technology,many new theories,methods and strategies are emerging,which upgrade the research of TCM formulae into a higher level.Only when the medicinal efficacy,bio-active components,function mechanism of TCM formulae are understood,we can guarantee TCM safety and quality control.In this paper,we summarized the latest modern research thoughts and methods on bio-active components of TCM formulae including formula decomposition study,serum pharmacology and serum pharmacochemistry,association analysis,biochro-matography,network pharmacology,metabolomics and proteomics,so as to provide reference for the research and development of TCM in the future.展开更多
Recent research has shown that circular hollow section(CHS) joints may exhibit non-rigid behavior under axial load or bending. The non-rigid behavior significantly affects the mechanical performance of structures. Thi...Recent research has shown that circular hollow section(CHS) joints may exhibit non-rigid behavior under axial load or bending. The non-rigid behavior significantly affects the mechanical performance of structures. This paper is concerned with the parametric formulae for predicting axial stiffness of CHS X-joints while braces are in tension. The factors influencing the axial stiffness of CHS X-joints under brace axial tension are investigated,including the joint geometric parameters,the axial force of the chord,and bending moments of braces in two directions,etc. Effects of various parameters on axial stiffness of CHS X-joints are examined by systematic single-parameter nonlinear analysis using shell finite element methods. The analysis is implemented in a finite element code,ANSYS. The observed trends form the basis of the formulae for calculating the joint axial stiffness under brace axial tension by multivariate regression technique. In order to simplify the formulae,two non-dimensional variables are introduced. The proposed formulae can be used to calculate the joint axial stiffness in the design of single-layer steel tubular structures.展开更多
An interaction function was constructed based on the axial compression/tension and shear loads of orthotropic plates.The coefficients of the polynomial function were determined by uniaxial test results.Buckling intera...An interaction function was constructed based on the axial compression/tension and shear loads of orthotropic plates.The coefficients of the polynomial function were determined by uniaxial test results.Buckling interaction and failure interaction formulae under combined axial tension/compression and shear loads were established.Based on the uniaxial load test results of orthotropic plates,the buckling load and bearing capacity under any proportion of the combined loads could be predicted by using the proposed interaction formulae.The buckling interaction curves and failure envelopes predicted by the proposed interaction formulae were in excellent agreement with the test results.展开更多
The main purpose of this work is to find for any non-negative measure, the relations between the Gauss-Radau and Gauss-Lobatto formula and Gauss formulae for the same measure. As applications, the author obtained the ...The main purpose of this work is to find for any non-negative measure, the relations between the Gauss-Radau and Gauss-Lobatto formula and Gauss formulae for the same measure. As applications, the author obtained the explicit Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and the Gori-Micchelli weight.展开更多
General interpolation formulae for barycentric interpolation and barycen- tric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation a...General interpolation formulae for barycentric interpolation and barycen- tric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation and barycentric rational Her- mite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.展开更多
This paper studies the variation of constant formulae for linear Caputo fractional delay differential systems. We discuss the exponential estimates of the solutions for linear time invariant fractional delay different...This paper studies the variation of constant formulae for linear Caputo fractional delay differential systems. We discuss the exponential estimates of the solutions for linear time invariant fractional delay differential systems by using the Gronwall＇s integral inequality. The variation of constant formula for linear time invariant fractional delay differential systems is obtained by using the Laplace transform method. In terms of the superposition principle of linear systems and fundamental solution matrix, we also establish the variation of constant formula for linear time varying fractional delay differential systems. The obtained results generalize the corresponding ones of integer-order delayed differential equations.展开更多
OBJECTIVE: To investigate the therapeutic efficacy of Tiaobu Feishen formulae(TBFS) on cigarette smoke-induced inflammation in vitro using lipopolysaccharide(LPS)-induced and cigarette smoke extract(CSE)-induced NCI-H...OBJECTIVE: To investigate the therapeutic efficacy of Tiaobu Feishen formulae(TBFS) on cigarette smoke-induced inflammation in vitro using lipopolysaccharide(LPS)-induced and cigarette smoke extract(CSE)-induced NCI-H292 cells.METHODS: We evaluated the inhibitory effects of Bufei Jianpi formula(BJF), Bufei Yishen formula(BYF), and Yiqi Zishen formula(YZF) on the expressions of inflammatory cytokines including tumor necrosis factor(TNF)-α and interleukin(IL)-8, matrix metalloproteinase(MMP)-9, tissue inhibitor of matrix metalloprotease(TIMP)-1, and superoxide dismutase(SOD) in H292 cells stimulated with LPS or CSE. Their related transcription factors and signaling pathways were also analyzed.RESULTS: BJF, BYF, and YZF significantly inhibited the LPS-or CSE-induced expressions of TNF-α, IL-8,MMP-9, TIMP-1, and SOD in H292 cells, and suppressed the activation of transcription factors including nuclear transcription factor(NF)-κB, activator protein(AP)-1, and signal transducers and activators of transcription(STAT) 3 and their corresponding pathways, including NF-κB, mitogen-activated protein kinase(MAPK), STAT3, and peroxisome proliferator-activated receptor(PPAR).CONCLUSION: BJF, BYF, and YZF effectively suppressed inflammatory responses, protease-antiprotease imbalance, and oxidative stress induced by LPS and CSE, an effect that was closely associated with the inhibition of the NF-κB, MAPK, STAT3, and PPAR pathways.展开更多
Mycoplasma gallisepticum HS strain(MG-HS)is a pathogen that causes chronic respiratory disease(CRD)in chicken,which is characterized by host respiratory inflammatory damage,brings huge economic losses to the poultry i...Mycoplasma gallisepticum HS strain(MG-HS)is a pathogen that causes chronic respiratory disease(CRD)in chicken,which is characterized by host respiratory inflammatory damage,brings huge economic losses to the poultry industry.Recently,emerging Chinese herbal medicines(CHM)have been used to treat CRD.This study was aimed to investigate the preventive and therapeutic effects and their potential mechanisms of Chinese herbal medicinal formulae(CHMF),which consisted of 10 kinds of Chinese herbal medicine including Scutellaria,Houttuynia cordate and licorice,on MGinduced CRD in chickens.With respect to the preventive effect,the results showed that CHMF could effectively recover the MG-induced decrease on body weight and feed conversion ratio.Histopathological analysis showed that both prevention and treatment of CHMF could significantly alleviate the severe respiratory inflammation induced by MG infection.Moreover,compared with the MG infection group,both the prevention groups and the treatment groups of CHMF could effectively reduce the expression of MG adhesion protein(p MGA1.2)to inhibit the proliferation of MG,and thus effectively inhibit the expression of MG-induced inflammatory factors interleukin-1β(IL-1β)and tumour necrosis factor-α(TNF-α).In summary,these findings confirm that CHMF can protect chickens from various tissue damage caused by MG infection and has no adverse effects on the performance of chickens in the short term.And its efficacy against MG is equal to or better than that of tiamulin.展开更多
With its long-term empirical clinical practice and increasing number of health benefits reported,Chinese Materia Medica(CMM)is gaining increasing global acceptance.Importantly,the identification of chemical constituen...With its long-term empirical clinical practice and increasing number of health benefits reported,Chinese Materia Medica(CMM)is gaining increasing global acceptance.Importantly,the identification of chemical constituents in vitro and exposed forms in vivo is a prerequisite for understanding how CMM formulae prevent and treat diseases.This review systematically summarizes the exciting and magical journey of CMM components from compound formulae to where they fight,the possible structural transformation of CMM components in vitro and in vivo,and their pharmacological contribution.When a decoction is prepared,significant chemical reactions are observed,including degradation and production of polymers and self-assembling supramolecules,leading to the construction of a component library with diverse decoction structures.After ingestion,compounds pass through the intestinal and blood-brain barriers and undergo a more wonderful journey involving the gut microbiota,microbial enzymes,and endogenous drug-metabolizing enzymes(mainly liver enzymes).At this stage,they are modified and assembled into novel and complex compounds,such as newly generated metabolites,conjugates,and self-assembling superamolecules.This review might provide a strategic orientation to explore the active compounds of CMM formulae in vivo.展开更多
基金Supported by the National Natural Science Foundation of China (61972120)。
文摘This paper presents an explicit formula based on reparameterization technique for progressively computing a simple root of a smooth function,which may have wide applications in robotics,geomagnetic navigation,geometric processing and computer graphics.Comparing with Newton-like method,it can achieve convergence rate 2 by adding one more functional evaluation,improve the computational stability and ensure the convergence,and also obtain higher convergence rate and higher efficiency index.Compared with clipping methods for polynomials,it doesn't need to bound the polynomials,directly bound the roots and can also work well for non-polynomial functions with much higher computational efficiency.Comparing with previous progressive methods,it achieves a much higher computational efficiency and is extended to solve bivariate equation system.Numerical examples show its much better performance on approximation error,computational efficiency and computational stability.
文摘BACKGROUND Perimenopausal women are prone to anxiety and depression due to fluctuating hormone levels,which significantly impair their quality of life.The current treatments have certain limitations.In traditional Chinese medicine,liver-soothing formulas are commonly prescribed for mood-related disorders,but their overall efficacy in perimenopausal anxiety and depression remains uncertain and requires verification through meta-analysis.AIM To provide evidence-based support for clinical decision-making and research,a meta-analysis was conducted to evaluate the effectiveness of liver-soothing formulas in treating perimenopausal anxiety and depression.METHODS Relevant studies published up to April 2025 were retrieved from ClinicalTrials.gov,PubMed,Web of Science,EMBASE,and the Cochrane Library.Eligible studies were screened according to predefined inclusion and exclusion criteria.Data were extracted and analyzed using the Stata 12.0 software.RESULTS After searching and screening,12 articles involving 1798 patients(922 in the treatment group and 876 in the control group)were included in the analysis.Meta-analysis showed that the standardized scores for anxiety[standardized mean difference(SMD)=-0.71,95%confidence interval(95%CI):-1.06 to-0.36]and depression(SMD=-0.67,95%CI:-1.06 to-0.27)of the treatment group were lower than those of the control group.Subgroup analysis results revealed that for anxiety,liver-soothing formulas used alone(SMD=-0.34,95%CI:-0.50 to-0.18)or in combination(SMD=-0.88,95%CI:-1.43 to-0.34)both significantly reduced scores compared with the control group.For depression,monotherapy of liversoothing formulas showed no significant statistical difference between the treatment and control groups(SMD=-0.47,95%CI:-1.11 to 0.17),whereas combination therapy produced significantly lower standardized scale scores in the treatment group than in the control group,with a statistically significant difference(SMD=-0.83,95%CI:-1.39 to-0.28).Regarding Greene scores,no statistically significant difference was observed with monotherapy(SMD=0.87,95%CI:-0.32 to 2.06),whereas combination therapy had significantly lower Greene scores(SMD=-0.24,95%CI:-0.44 to-0.04).No statistically significant difference was found between the groups in the occurrence of adverse reactions(odds ratio=0.90,95%CI:0.57-1.43).However,liver-soothing formulas did not affect estrogen levels in perimenopausal women.CONCLUSION Compared with placebo,conventional Western medicine,or other interventions,the monotherapy of liver-soothing formulas demonstrates superior efficacy in treating perimenopausal anxiety.When used as an adjuvant,they exert a synergistic effect in alleviating negative emotions and improving overall perimenopausal symptoms.
基金supported by the Office of Naval Research (Grant No. N000141010778) to the University of Oklahomathe National Natural Sciences Foundation of China (Grant Nos. 40930950,41075043,and 4092116037) to the Institute of Atmospheric Physicsprovided by NOAA/Office of Oceanic and Atmospheric Research under NOAA-University of Oklahoma Cooperative Agreement (No. NA17RJ1227),U.S. Department of Commerce
文摘The non-uniqueness of solution and compatibility between the coupled boundary conditions in computing velocity potential and streamfunction from horizontal velocity in a limited domain of arbitrary shape are revisited theoretically with rigorous mathematic treatments.Classic integral formulas and their variants are used to formulate solutions for the coupled problems.In the absence of data holes,the total solution is the sum of two integral solutions.One is the internally induced solution produced purely and uniquely by the domain internal divergence and vorticity,and its two components（velocity potential and streamfunction） can be constructed by applying Green＇s function for Poisson equation in unbounded domain to the divergence and vorticity inside the domain.The other is the externally induced solution produced purely but non-uniquely by the domain external divergence and vorticity,and the non-uniqueness is caused by the harmonic nature of the solution and the unknown divergence and vorticity distributions outside the domain.By setting either the velocity potential（or streamfunction） component to zero,the other component of the externally induced solution can be expressed by the imaginary（or real） part of the Cauchy integral constructed using the coupled boundary conditions and solvability conditions that exclude the internally induced solution.The streamfunction（or velocity potential） for the externally induced solution can also be expressed by the boundary integral of a double-layer（or singlelayer） density function.In the presence of data holes,the total solution includes a data-hole-induced solution in addition to the above internally and externally induced solutions.
基金supported by the National Natural Sciences Foundation of China(No.81374011)
文摘In the present study, 28 Chinese medicinal herbs belonging to traditional Chinese medicine(TCM) for the treatment of type 2 diabetes were selected to explore the application of network pharmacology in developing new Chinese herbal medicine formulae for the treatment of type 2 diabetes mellitus(T2DM). These herbs have the highest appearance rate in the literature, and their compounds are listed. The human protein–protein interaction network and the T2DM disease protein interaction network were constructed. Then, the related algorithm for network topology was used to perform interventions on the interaction network of disease proteins and normal human proteins to test different Chinese herbal medicine compound combinations, according to the information on the interaction of compounds–targets in two databases, namely TarN et and the Medicinal Plants Database. Results of the intervention scores indicate that the method proposed in this study can provide new effective combinations of Chinese herbal medicines for T2DM. Network pharmacology can effectively promote the modernization and development of TCM.
基金supported by the Fundamental Research Fund for the Central Universities
文摘Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the following nonlinear weighted p-heat equationand f is a smooth function on M under the assumptionthat the m-dimensional nonnegative Bakry-Emery Ricci curvature. Secondly, we show an entropy monotonicity formula with nonnegative m-dimensional Bakry-Emery Ricci curva- ture which is a generalization to the results of Kotschwar and Ni [9], Li [7].
基金the financial support from"The Fundamental Research Funds for the Central Universities"(Grant No.2017XKQY052)
文摘To understand the mesoscopic mechanism of clayey soil in view of macroscopic behavior, it is essential to quantitatively calculate the electric double-layer repulsion between arbitrarily inclined clay particles.However, suitable calculation methods with high efficiency and accuracy are still rare at present in literature. Based on a great number of numerical calculations of the repulsion between two inclined platy clay particles, explicit empirical formulae for estimating electric double-layer repulsion between clay particles are put forward. Comparison between the empirical solutions and corresponding numerical results shows that the proposed formulae have a reasonable accuracy, and application of the presented formula is easy and efficient.
文摘AIM:To evaluate different standard liver volume (SLV) formula and verify the applicability of the formulae for Chinese adults.METHODS: Data from 70 cases of living donor liver transplantation (LDLT) performed at our transplantation centers between January 2008 and April 2009 were analyzed. SLV was estimated using our recently reported formula [the Chengdu formula: SLV (mL)=11.5×body weight (kg) + 334] and other reported formulae used for Chinese adults. Actual intraoperative liver volumes were obtained from a review of the patients' medical records.RESULTS: The actual right liver volume was not significantly different from the estimated right liver volume determined by the Chengdu formula, but was significantly smaller than estimates using the Heinemann, Urata, Vauthey, and Lee formulae (P<0.01), and signif icantly larger than estimates using the Fan formula (P<0.05).CONCLUSION: The Chengdu formula was demonstrated to be reliable by its application in LDLT.
基金Project supported by the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20161278)
文摘In this paper, we made a new breakthrough, which proposes a new recursion–transform（RT） method with potential parameters to evaluate the nodal potential in arbitrary resistor networks. For the first time, we found the exact potential formulae of arbitrary m × n cobweb and fan networks by the RT method, and the potential formulae of infinite and semi-infinite networks are derived. As applications, a series of interesting corollaries of potential formulae are given by using the general formula, the equivalent resistance formula is deduced by using the potential formula, and we find a new trigonometric identity by comparing two equivalence results with different forms.
文摘Fifteen formulae of wave transmission coefficient for submerged breakwaters obtained during last 3 decades are presented, compared, and analyzed in this paper. The dimensionless parameters mainly involved in this discussion are the relative submerged depth Re/h, relative wave height Rc/Hi, relative rubble size B/D50, relative breakwater width B√ HiL0 and wave breaker index ξ. It indicates that there exist notable differences among the computed results, which mainly originate from the limited experimental conditions and different analytical methods, even though the major tendency keeps similar. It is necessary to conduct more systematic studies to obtain better understanding about the mechanism of wave transmission over submerged breakwaters.
基金Supported by NNSF and RFDP of Higher Education of China.
文摘Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given.
基金supported by the Key Research and Development Program of Shaanxi(No.2019ZDLSF04-05)the National Natural Science Foundation of China(No.81974522),the Subject Innovation Team of Shaanxi University of Chinese Medi-cine(No.2019-YL10)the Youth Innovation Team of Shaanxi Universities(2020).
文摘TCM formulae are the important guidances for clinical application of traditional Chinese medicines,which follow the principles of diagnosis and treatment in TCM.Elucidating the bio-active components of TCM formulae is the key to the modernization and internationalization of traditional Chinese medicines.With the rapid development of modern instruments and technology,many new theories,methods and strategies are emerging,which upgrade the research of TCM formulae into a higher level.Only when the medicinal efficacy,bio-active components,function mechanism of TCM formulae are understood,we can guarantee TCM safety and quality control.In this paper,we summarized the latest modern research thoughts and methods on bio-active components of TCM formulae including formula decomposition study,serum pharmacology and serum pharmacochemistry,association analysis,biochro-matography,network pharmacology,metabolomics and proteomics,so as to provide reference for the research and development of TCM in the future.
文摘Recent research has shown that circular hollow section(CHS) joints may exhibit non-rigid behavior under axial load or bending. The non-rigid behavior significantly affects the mechanical performance of structures. This paper is concerned with the parametric formulae for predicting axial stiffness of CHS X-joints while braces are in tension. The factors influencing the axial stiffness of CHS X-joints under brace axial tension are investigated,including the joint geometric parameters,the axial force of the chord,and bending moments of braces in two directions,etc. Effects of various parameters on axial stiffness of CHS X-joints are examined by systematic single-parameter nonlinear analysis using shell finite element methods. The analysis is implemented in a finite element code,ANSYS. The observed trends form the basis of the formulae for calculating the joint axial stiffness under brace axial tension by multivariate regression technique. In order to simplify the formulae,two non-dimensional variables are introduced. The proposed formulae can be used to calculate the joint axial stiffness in the design of single-layer steel tubular structures.
文摘An interaction function was constructed based on the axial compression/tension and shear loads of orthotropic plates.The coefficients of the polynomial function were determined by uniaxial test results.Buckling interaction and failure interaction formulae under combined axial tension/compression and shear loads were established.Based on the uniaxial load test results of orthotropic plates,the buckling load and bearing capacity under any proportion of the combined loads could be predicted by using the proposed interaction formulae.The buckling interaction curves and failure envelopes predicted by the proposed interaction formulae were in excellent agreement with the test results.
基金National Natural Science Foundation of China under Grant Nos.10371070 and 10671121the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers,the Youth Foundation of Shanghai Education Committee,and Magnolia Grant of Shanghai Sciences and Technology Committee
文摘Some general formulas in the Sato theory related to the nonisospectral KP and mKP hierarchies are derived for simplifying calculations.
文摘The main purpose of this work is to find for any non-negative measure, the relations between the Gauss-Radau and Gauss-Lobatto formula and Gauss formulae for the same measure. As applications, the author obtained the explicit Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and the Gori-Micchelli weight.
基金supported by the grant of Key Scientific Research Foundation of Education Department of Anhui Province, No. KJ2014A210
文摘General interpolation formulae for barycentric interpolation and barycen- tric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation and barycentric rational Her- mite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.
基金the Programs of Educational Commission of Anhui Province(Grant Nos.KJ2011A197KJ2013Z186)
文摘This paper studies the variation of constant formulae for linear Caputo fractional delay differential systems. We discuss the exponential estimates of the solutions for linear time invariant fractional delay differential systems by using the Gronwall＇s integral inequality. The variation of constant formula for linear time invariant fractional delay differential systems is obtained by using the Laplace transform method. In terms of the superposition principle of linear systems and fundamental solution matrix, we also establish the variation of constant formula for linear time varying fractional delay differential systems. The obtained results generalize the corresponding ones of integer-order delayed differential equations.
基金Supported by National Natural Science Fund of China(No.81130062,81603473,81403367)Outstanding Traditional Chinese Medicine Academic Leader Program of Henan Province(No.HNZYLJ201301001)the National Key Technology R&D Program during the 12th Five-Year Plan Period(No.2014BAI10B06)。
文摘OBJECTIVE: To investigate the therapeutic efficacy of Tiaobu Feishen formulae(TBFS) on cigarette smoke-induced inflammation in vitro using lipopolysaccharide(LPS)-induced and cigarette smoke extract(CSE)-induced NCI-H292 cells.METHODS: We evaluated the inhibitory effects of Bufei Jianpi formula(BJF), Bufei Yishen formula(BYF), and Yiqi Zishen formula(YZF) on the expressions of inflammatory cytokines including tumor necrosis factor(TNF)-α and interleukin(IL)-8, matrix metalloproteinase(MMP)-9, tissue inhibitor of matrix metalloprotease(TIMP)-1, and superoxide dismutase(SOD) in H292 cells stimulated with LPS or CSE. Their related transcription factors and signaling pathways were also analyzed.RESULTS: BJF, BYF, and YZF significantly inhibited the LPS-or CSE-induced expressions of TNF-α, IL-8,MMP-9, TIMP-1, and SOD in H292 cells, and suppressed the activation of transcription factors including nuclear transcription factor(NF)-κB, activator protein(AP)-1, and signal transducers and activators of transcription(STAT) 3 and their corresponding pathways, including NF-κB, mitogen-activated protein kinase(MAPK), STAT3, and peroxisome proliferator-activated receptor(PPAR).CONCLUSION: BJF, BYF, and YZF effectively suppressed inflammatory responses, protease-antiprotease imbalance, and oxidative stress induced by LPS and CSE, an effect that was closely associated with the inhibition of the NF-κB, MAPK, STAT3, and PPAR pathways.
基金supported by the National Natural Science Foundation of China(31972681)the National Key Research and Development Program of China(2017YFD0501500)。
文摘Mycoplasma gallisepticum HS strain(MG-HS)is a pathogen that causes chronic respiratory disease(CRD)in chicken,which is characterized by host respiratory inflammatory damage,brings huge economic losses to the poultry industry.Recently,emerging Chinese herbal medicines(CHM)have been used to treat CRD.This study was aimed to investigate the preventive and therapeutic effects and their potential mechanisms of Chinese herbal medicinal formulae(CHMF),which consisted of 10 kinds of Chinese herbal medicine including Scutellaria,Houttuynia cordate and licorice,on MGinduced CRD in chickens.With respect to the preventive effect,the results showed that CHMF could effectively recover the MG-induced decrease on body weight and feed conversion ratio.Histopathological analysis showed that both prevention and treatment of CHMF could significantly alleviate the severe respiratory inflammation induced by MG infection.Moreover,compared with the MG infection group,both the prevention groups and the treatment groups of CHMF could effectively reduce the expression of MG adhesion protein(p MGA1.2)to inhibit the proliferation of MG,and thus effectively inhibit the expression of MG-induced inflammatory factors interleukin-1β(IL-1β)and tumour necrosis factor-α(TNF-α).In summary,these findings confirm that CHMF can protect chickens from various tissue damage caused by MG infection and has no adverse effects on the performance of chickens in the short term.And its efficacy against MG is equal to or better than that of tiamulin.
基金supported by the National Natural Science Foundation of China(81873192 and 81202877)Postgraduate Research and Innovation Project of Tianjin(2021YJSB288 and YJSKC-20211004)the Science and Technology Program of Tianjin(Grant No.20ZYJDJC00070)
文摘With its long-term empirical clinical practice and increasing number of health benefits reported,Chinese Materia Medica(CMM)is gaining increasing global acceptance.Importantly,the identification of chemical constituents in vitro and exposed forms in vivo is a prerequisite for understanding how CMM formulae prevent and treat diseases.This review systematically summarizes the exciting and magical journey of CMM components from compound formulae to where they fight,the possible structural transformation of CMM components in vitro and in vivo,and their pharmacological contribution.When a decoction is prepared,significant chemical reactions are observed,including degradation and production of polymers and self-assembling supramolecules,leading to the construction of a component library with diverse decoction structures.After ingestion,compounds pass through the intestinal and blood-brain barriers and undergo a more wonderful journey involving the gut microbiota,microbial enzymes,and endogenous drug-metabolizing enzymes(mainly liver enzymes).At this stage,they are modified and assembled into novel and complex compounds,such as newly generated metabolites,conjugates,and self-assembling superamolecules.This review might provide a strategic orientation to explore the active compounds of CMM formulae in vivo.
