In this paper,we study the generalized Dedekind Rademacher sums considered by Hall,Wilson and Zagier.We establish a new formula for the products of two Bernoulli functions by using Parseval's formula,Hurwitz's...In this paper,we study the generalized Dedekind Rademacher sums considered by Hall,Wilson and Zagier.We establish a new formula for the products of two Bernoulli functions by using Parseval's formula,Hurwitz's formula and Lerch's functional equation.As applications of the result,some well-known reciprocity formulas are deduced as special cases.展开更多
In the references[4,11,12],the authors gave some modular forms overΓ^(0)(2).In this note,we proceed with the study of cancellation formulas relating to the modular forms.
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
BACKGROUND Cold exposure has traditionally been considered a pathological factor that can easily impair gastrointestinal(GI)digestion.Shihosogan-tang(ST),Yijung-tang(YT),and Pyeongwi-san(PS)are well-known herbal formu...BACKGROUND Cold exposure has traditionally been considered a pathological factor that can easily impair gastrointestinal(GI)digestion.Shihosogan-tang(ST),Yijung-tang(YT),and Pyeongwi-san(PS)are well-known herbal formulas frequently used to treat GI disorders in East Asia.AIM To compare the effects of these herbal formulas on GI motility and investigate their mechanisms of action using a cold stress(CS)-induced dyspepsia mouse model.METHODS C57BL/6J mice were exposed to CS by immersion in cold water(10±1℃)while being restrained in conical tubes for 1 hour.This procedure was repeated six times over 2 weeks.Herbal formulas or mosapride(positive control)were administered orally five times per week over a 2-week period.RESULTS The pre-test results revealed that CS,rather than restraint stress,significantly delayed gut motility in mice.However,PS and ST notably improved gastric emptying and intestinal transit,surpassing YT.Additionally,PS and ST significantly reduced gastric potential of hydrogen and increased pepsin and lipase gene expression compared to CS.The observed mechanisms likely involved increased gastric acidity and enhanced levels of digestive enzymes,such as pepsin and lipase.Furthermore,PS administration elevated GI hormone levels and metabolites related to the gut microbiota(5-hydroxytryptamine and short-chain fatty acid)more effectively than ST and YT treatments.CONCLUSION PS more effectively alleviated CS-induced GI dysfunction than both YT and ST.These comparative findings offer valuable insights for clinical applications in the treatment of cold-related digestive disorders.展开更多
Traditional Chinese medicine formula(TCMF)represents a fundamental component of Chinese medical practice,incorporating medical knowledge and practices from both Han Chinese and various ethnic minorities,while providin...Traditional Chinese medicine formula(TCMF)represents a fundamental component of Chinese medical practice,incorporating medical knowledge and practices from both Han Chinese and various ethnic minorities,while providing comprehensive insights into health and disease.The foundation of TCMF lies in its holistic approach,manifested through herbal compatibility theory,which has emerged from extensive clinical experience and evolved into a highly refined knowledge system.Within this framework,Chinese herbal medicines exhibit intricated characteristics,including multi-component interactions,diverse target sites,and varied biological pathways.These complexities pose significant challenges for understanding their molecular mechanisms.Contemporary advances in artificial intelligence(AI)are reshaping research in traditional Chinese medicine(TCM),offering immense potential to transform our understanding of the molecular mechanisms underlying TCMFs.This review explores the application of AI in uncovering these mechanisms,highlighting its role in compound absorption,distribution,metabolism,and excretion(ADME)prediction,molecular target identification,compound and target synergy recognition,pharmacological mechanisms exploration,and herbal formula optimization.Furthermore,the review discusses the challenges and opportunities in AI-assisted research on TCMF molecular mechanisms,promoting the modernization and globalization of TCM.展开更多
As cataract surgery progresses from “restoration of sight” to “refractive correction”, precise prediction of intraocular lens (IOL) power is critical for enhancing postoperative visual quality in patients. IOL pow...As cataract surgery progresses from “restoration of sight” to “refractive correction”, precise prediction of intraocular lens (IOL) power is critical for enhancing postoperative visual quality in patients. IOL power calculation methods have evolved and innovated throughout time, from early theoretical and regression formulas to nonlinear formulas for estimating effective lens position (ELP), multivariable formulas, and innovative formulas that use optical principles and AI-based online formulas. This paper thoroughly discusses the development and iteration of traditional IOL calculation formulas, the emergence of new IOL calculation formulas, and the selection of IOL calculation formulas for different patients in the era of refractive cataract surgery, serving as a reference for “personalized” IOL implantation in clinical practice.展开更多
Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(...Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(n))I(M∩L)dL The methods also work for various generalizations of Gq(R_(n))such as complex Grassmannians.展开更多
This paper reviews the related formulas of Sugemule,introduces the advances in research of clinical application of these formulas in treating Heyi type insomnia,cardiac diseases,and renal diseases.Besides,it summarize...This paper reviews the related formulas of Sugemule,introduces the advances in research of clinical application of these formulas in treating Heyi type insomnia,cardiac diseases,and renal diseases.Besides,it summarizes pharmacological research advances regarding these formulas,including their anti-insomnia effects,cardioprotective properties,and ovarian function preservation capabilities.This study is expected to provide a reference and insight for in-depth and systematic research on classical Mongolian medicinal formulas.展开更多
OBJECTIVES:To systematically review the efficacy and safety of Jianpi formulas(健脾剂)in reducing the recurrence of colorectal adenoma(CRA)after polypectomy.METHODS:Randomized controlled trials(RCTs)investigating Jian...OBJECTIVES:To systematically review the efficacy and safety of Jianpi formulas(健脾剂)in reducing the recurrence of colorectal adenoma(CRA)after polypectomy.METHODS:Randomized controlled trials(RCTs)investigating Jianpi formulas for CRA post-polypectomy were systematically retrieved from eight electronic databases.The quality of the methodology was assessed using the Cochrane collaboration tool.The Grades of Recommendations Assessment Development and Evaluation(GRADE)approach was employed for evidence assessment.Statistical analyses were conducted using Statistics and Data Analysis(STATA)17(StataCorp(College Station,TX,USA)and Review Manager(RevMan)5.4(The Cochrane Collaboration(London,UK).RESULTS:The Meta-analysis,encompassing 18 RCTs with 1838 patients,revealed that Jianpi formulas significantly outperformed postoperative routine treatment.It demonstrated a reduction in the half-year recurrence rate[relative risk(RR)=0.41,95%confidence interval(CI)=0.33-0.49,Z=9.08,P<0.00001],the oneyear recurrence rate[RR=0.58,95%CI=0.49-0.69,Z=6.12,P<0.00001],and an enhancement in the clinical effective rate[RR=1.27,95%CI=1.19-1.36,Z=7.06,P<0.00001].The half-year recurrence rate and the clinical effective rate were medium-quality evidence.The one-year recurrence rate was low-quality evidence.Additionally,Jianpi formulas appear to be safe and do not increase adverse reactions compared to postoperative routine treatment alone.CONCLUSION:Jianpi formulas exhibit efficacy in reducing postoperative half-year and one-year recurrence rates while improving the clinical effective rate after polypectomy for CRA.展开更多
Background:Hua-Yi-Jie-Du formula(HYJD)is a traditional Chinese medicine that has proven effective against viral pneumonia and was extensively used during the COVID-19 pandemic.This study investigates how HYJD influenc...Background:Hua-Yi-Jie-Du formula(HYJD)is a traditional Chinese medicine that has proven effective against viral pneumonia and was extensively used during the COVID-19 pandemic.This study investigates how HYJD influences group 2 innate lymphoid cell(ILC2)and nucleotide oligomerization domain(NOD)-like receptor protein 3(NLRP3)inflammasome activation in a mouse model of viral pneumonia.Methods:A mouse model of viral pneumonia was established through the administration of polyinosinic-polycytidylic acid(poly(I:C))via nasal drops.Histopathological analysis of lung tissue was conducted,alongside enzyme-linked immunosorbent assay to quantify cytokine levels in serum and bronchoalveolar lavage fluid(BALF).Flow cytometry was employed to detect ILC2 cells in lung tissue and spleen,while immunofluorescence techniques were utilized to visualize ILC2 cells in lung tissue.Transcriptomic sequencing was performed,and the results were validated using qRT-PCR and western blot analysis.Results:HYJD significantly ameliorated inflammatory infiltration in lung tissue,decreased mucus protein secretion,and reduced the serum levels of inflammatory cytokines interleukin(IL)-1β,IL-6,and tumor necrosis factor-alpha(TNF-α).Additionally,it lowered the expression of cytokines IL-4,IL-5,IL-13,IL-25,thymic stromal lymphopoietin(TSLP),and IL-33 in BALF,and reduced the differentiation of ILC2 cells in both lung tissue and spleen.Transcriptomic analysis and experimental validation revealed that HYJD downregulated the expression of NLRP3 related genes and proteins within the NOD-like receptor signaling pathway.Conclusion:The mechanism by which HYJD intervenes in acute lung injury associated with viral pneumonia may involve the reduction of ILC2 cells differentiation and the inhibition of NLRP3 activation.展开更多
Chronic heart failure(CHF)impairs cognitive function.Xijiaqi Formula(XJQ),a traditional Chinese medicine(TCM)used clinically to treat CHF,demonstrates potential for improving cognition in CHF patients.However,its prec...Chronic heart failure(CHF)impairs cognitive function.Xijiaqi Formula(XJQ),a traditional Chinese medicine(TCM)used clinically to treat CHF,demonstrates potential for improving cognition in CHF patients.However,its precise mechanism in treating post-CHF cognitive dysfunction remains unclear.This study systematically investigates XJQ’s effects on post-CHF cognitive dysfunction and the underlying mechanisms.The components of XJQ were identified through liquid chromatography-mass spectrometry.CHF was induced in rats via ligation of the left anterior descending coronary artery,followed by six weeks of XJQ treatment.Cardiac function was evaluated through echocardiography and hemodynamic parameters,while cognitive function was assessed using Morris water maze(MWM)and open field tests(OFT).XJQ treatment enhanced both cardiac and cognitive functions in CHF rats.Network pharmacology identified 12 core active components of XJQ and indicated its effect on cognitive dysfunction involved regulating synapses,inflammation,and phosphodiesterase 4(PDE4)-dependent cyclic adenosine monophosphate(cAMP)signaling.XJQ inhibited microglial and astrocyte activation,decreased proinflammatory cytokines,and mitigated neuronal damage.Notably,XJQ promoted synaptic repair and dendritic growth by downregulating PDE4 and upregulating cAMP,protein kinase A(PKA),cAMP-response element binding protein(CREB),brain-derived neurotrophic factor(BDNF),PSD95,and synapsin I levels.Molecular docking and Bio-layer interferometry assays confirmed direct binding of quercetin,kaempferol,isorhamnetin,and darutoside to PDE4.In conclusion,XJQ alleviates neuroinflammation and enhances synaptic plasticity to improve cognitive dysfunction in CHF rats via the PDE4/cAMP/PKA/CREB signaling pathway.These findings provide valuable insight into the heart-brain axis.展开更多
In present paper, using some methods of approximation theory, the trace formulas for eigenvalues of a eigenvalue problem are calculated under the periodic condition and the decaying condition at x∞.
AIM: To investigate the predictability of intraocular lens (IOL) power calculation using the IOLMaster and different IOL power calculation formulas in eyes with various axial length (AL). METHODS: Patients were includ...AIM: To investigate the predictability of intraocular lens (IOL) power calculation using the IOLMaster and different IOL power calculation formulas in eyes with various axial length (AL). METHODS: Patients were included who underwent uneventful phacoemulsification with IOL implantation in the Department of Ophthalmology, Far Eastern Memorial Hospital, Taipei, Taiwan, China from February 2007 to January 2009. Preoperative AL and keratometric values (Ks) were measured by IOLMaster optical biometry. Patients were divided into 3 groups based on AL less than 22mm (Group 1), 22-26mm (Group 2), and more than 26mm (Group 3). The power of the implanted IOL was used to calculate the predicted postoperative spherical equivalence (SE) by various formulas: the Haigis, Hoffer Q, Holladay 1, and SRK/T. The predictive accuracy of each formula was analyzed by comparing the difference between the actual and predicted postoperative SE (MedAE, median absolute error). All the patients had follow-up periods exceeding 3 months. RESULTS: Totally, there were 200 eyes (33 eyes in Group 1, 92 eyes in Group 2, 75 eyes in Group 3). In all patients, the Haigis had the significantly lower MedAE generated by the other formulas (P【0.05). In Group 1 to 3, the MedAE calculated by the Haigis was either significantly lower or comparable to those calculated by the other formulas.CONCLUSION: Compared with other formulas using IOLMaster biometric data, the Haigis formula yields superior refractive results in eyes with various AL.展开更多
The multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anteri...The multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anterior chamber depth(ACD) and vitreous chamber depth(VCD) are calculated, including nonlinear terms for more accurate rate functions than the linear theory. Our theory, consistent with the empirical data, shows that the Pearson correlation coefficients for spherical equivalent(SE) and ocular components are highest for SE with axial length, ACD and VCD and weakest for corneal power, lens power and lens thickness. Moreover, our regression formulas show the asymmetric feature of the correlation that the axial length, ACD and VCD are more strongly correlated(with higher negative regression constants) with refractive errors in eyes with hyperopia than in eyes with myopia, particularly for severe hyperopia.展开更多
A series of safety incidents related to domestically-produced infant formulas(DIFs) almost destroyed Chinese consumer confidence in domestic dairy products. Understanding consumer confidence and its effect on consumpt...A series of safety incidents related to domestically-produced infant formulas(DIFs) almost destroyed Chinese consumer confidence in domestic dairy products. Understanding consumer confidence and its effect on consumption behavior is important to restore consumer confidence and enhance the competitiveness of domestic dairy industry. This article first measures Chinese consumer confidence in DIFs safety using a two-dimension scale(optimism and pessimism) and then investigates its effect on consumers’ preferences for DIFs through a choice experiment. Involving 450 consumers residing in Beijing, Tianjin and Shijiazhuang, the experiment elicited information on their preferences for DIFs with six attributes(organic raw milk, farm-to-table traceability, region of origin, quality certification, animal welfare, and price). Our analysis yields four findings. First, Chinese consumers still lack confidence in DIFs safety. Second, quality certification is the most preferred product characteristic, followed by organic raw milk and farm-to-table traceability. Third, serving as a signal of high quality, price exerts a positive impact on choices of DIFs for pessimistic consumers. Finally, consumer preferences for farm-to-table traceability and region of origin are significantly influenced by consumer confidence.展开更多
Lewis developed a 2D-representation of molecules, charged or uncharged, known as structural formula, and stated the criteria to draw it. At the time, the vast majority of known molecules followed the octet-rule, one o...Lewis developed a 2D-representation of molecules, charged or uncharged, known as structural formula, and stated the criteria to draw it. At the time, the vast majority of known molecules followed the octet-rule, one of Lewis’s criteria. The same method was however rapidly applied to represent compounds that do not follow the octet-rule, i.e. compounds for which some of the composing atoms have greater or less than eight electrons in their valence shell. In a previous paper, an even-odd rule was proposed and shown to apply to both types of uncharged molecules. In the present paper, the even-odd rule is extended with the objective to encompass all single-bonded ions in one group: Lewis’s ions, hypo- and hypervalent ions. The base of the even-odd representation is compatible with Lewis’s diagram. Additionally, each atom is subscripted with an even number calculated by adding the valence number, the number of covalent bonds of the element, and its electrical charge. This paper describes how to calculate the latter number and in doing so, how charge and electron-pairs can actually be precisely localized. Using ions known to be compatible with Lewis’s rule of eight, the even-odd rule is compared with the former. The even-odd rule is then applied to ions known as hypo- or hypervalent. An interesting side effect of the presented rule is that charge and electron-pairs are unambiguously assigned to one of the atoms composing the single-charged ion. Ions that follow the octet rule and ions that do not, are thus reconciled in one group called “electron-paired ions” due to the absence of unpaired electrons. A future paper will focus on the connection between the even-odd rule and molecules or ions having multiple bonds.展开更多
In organic chemistry, as defined by Abegg, Kossel, Lewis and Langmuir, compounds are normally represented using structural formulas called Lewis structures. In these structures, the octet rule is used to define the nu...In organic chemistry, as defined by Abegg, Kossel, Lewis and Langmuir, compounds are normally represented using structural formulas called Lewis structures. In these structures, the octet rule is used to define the number of covalent bonds that each atom forms with its neighbors and multiple bonds are frequent. Lewis’ octet rule has unfortunately shown limitations very early when applied to non-organic compounds: most of them remain incompatible with the “rule of eight” and location of charges is uncertain. In an attempt to unify structural formulas of octet and non-octet molecules or single-charge ions, an even-odd rule was recently proposed, together with a procedure to locate charge precisely. This even-odd rule has introduced a charge-dependent effective-valence number calculated for each atom. With this number and the number of covalent bonds of each element, two even numbers are calculated. These numbers are both used to understand and draw structuralformulas of single-covalent-bonded compounds. In the present paper, a procedure is proposed to adjust structural formulas of compounds that are commonly represented with multiple bonds. In order to keep them compatible with the even-odd rule, they will be represented using only single covalent bonds. The procedure will then describe the consequences of bond simplification on charges locations. The newly obtained representations are compared to their conventional structural formulas, i.e. single-bond representation vs. multiple-bond structures. Throughout the comparison process, charges are precisely located and assigned to specific atoms. After discussion of particular cases of compounds, the paper finally concludes that a rule limiting representations of multiplecovalent bonds to single covalent bonds, seems to be suitable for numerous known compounds.展开更多
With the aid of Mullin-Rota's substitution rule, we show that the Sheffertype differential operators together with the delta operators ? and D could be used to construct a pair of expansion formulas that imply a w...With the aid of Mullin-Rota's substitution rule, we show that the Sheffertype differential operators together with the delta operators ? and D could be used to construct a pair of expansion formulas that imply a wide variety of summation formulas in the discrete analysis and combinatorics. A convergence theorem is established for a fruitful source formula that implies more than 20 noted classical fomulas and identities as consequences. Numerous new formulas are also presented as illustrative examples. Finally, it is shown that a kind of lifting process can be used to produce certain chains of(∞~m) degree formulas for m ≥ 3 with m ≡ 1(mod 2) and m ≡ 1(mod 3), respectively.展开更多
基金Supported by the Natural Science Foundation of Sichuan Province(No.2023NSFSC0065)。
文摘In this paper,we study the generalized Dedekind Rademacher sums considered by Hall,Wilson and Zagier.We establish a new formula for the products of two Bernoulli functions by using Parseval's formula,Hurwitz's formula and Lerch's functional equation.As applications of the result,some well-known reciprocity formulas are deduced as special cases.
文摘In the references[4,11,12],the authors gave some modular forms overΓ^(0)(2).In this note,we proceed with the study of cancellation formulas relating to the modular forms.
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 National Research Foundation of Korea,No.2022M3A9E4017033。
文摘BACKGROUND Cold exposure has traditionally been considered a pathological factor that can easily impair gastrointestinal(GI)digestion.Shihosogan-tang(ST),Yijung-tang(YT),and Pyeongwi-san(PS)are well-known herbal formulas frequently used to treat GI disorders in East Asia.AIM To compare the effects of these herbal formulas on GI motility and investigate their mechanisms of action using a cold stress(CS)-induced dyspepsia mouse model.METHODS C57BL/6J mice were exposed to CS by immersion in cold water(10±1℃)while being restrained in conical tubes for 1 hour.This procedure was repeated six times over 2 weeks.Herbal formulas or mosapride(positive control)were administered orally five times per week over a 2-week period.RESULTS The pre-test results revealed that CS,rather than restraint stress,significantly delayed gut motility in mice.However,PS and ST notably improved gastric emptying and intestinal transit,surpassing YT.Additionally,PS and ST significantly reduced gastric potential of hydrogen and increased pepsin and lipase gene expression compared to CS.The observed mechanisms likely involved increased gastric acidity and enhanced levels of digestive enzymes,such as pepsin and lipase.Furthermore,PS administration elevated GI hormone levels and metabolites related to the gut microbiota(5-hydroxytryptamine and short-chain fatty acid)more effectively than ST and YT treatments.CONCLUSION PS more effectively alleviated CS-induced GI dysfunction than both YT and ST.These comparative findings offer valuable insights for clinical applications in the treatment of cold-related digestive disorders.
基金supported by the National Key R&D Program of China(No.2022YFC3502005)the three-year Action Plan for Shanghai TCM Development and Inheritance Program[No.ZY(2021-2023)-0401]the National Natural Science Foundation of China(No.82104521)。
文摘Traditional Chinese medicine formula(TCMF)represents a fundamental component of Chinese medical practice,incorporating medical knowledge and practices from both Han Chinese and various ethnic minorities,while providing comprehensive insights into health and disease.The foundation of TCMF lies in its holistic approach,manifested through herbal compatibility theory,which has emerged from extensive clinical experience and evolved into a highly refined knowledge system.Within this framework,Chinese herbal medicines exhibit intricated characteristics,including multi-component interactions,diverse target sites,and varied biological pathways.These complexities pose significant challenges for understanding their molecular mechanisms.Contemporary advances in artificial intelligence(AI)are reshaping research in traditional Chinese medicine(TCM),offering immense potential to transform our understanding of the molecular mechanisms underlying TCMFs.This review explores the application of AI in uncovering these mechanisms,highlighting its role in compound absorption,distribution,metabolism,and excretion(ADME)prediction,molecular target identification,compound and target synergy recognition,pharmacological mechanisms exploration,and herbal formula optimization.Furthermore,the review discusses the challenges and opportunities in AI-assisted research on TCMF molecular mechanisms,promoting the modernization and globalization of TCM.
文摘As cataract surgery progresses from “restoration of sight” to “refractive correction”, precise prediction of intraocular lens (IOL) power is critical for enhancing postoperative visual quality in patients. IOL power calculation methods have evolved and innovated throughout time, from early theoretical and regression formulas to nonlinear formulas for estimating effective lens position (ELP), multivariable formulas, and innovative formulas that use optical principles and AI-based online formulas. This paper thoroughly discusses the development and iteration of traditional IOL calculation formulas, the emergence of new IOL calculation formulas, and the selection of IOL calculation formulas for different patients in the era of refractive cataract surgery, serving as a reference for “personalized” IOL implantation in clinical practice.
文摘Let Gq(R_(n))be the Grassmannian of all linear q dimensional subspaces of R_(n)and I an integral invariant of p+q−n dimensional submanifolds of R_(n).Then we give methods of evaluating Crofton type integral∫G_(q)(R^(n))I(M∩L)dL The methods also work for various generalizations of Gq(R_(n))such as complex Grassmannians.
基金Supported by Laboratory Open Fund Project of Inner Mongolia Medical University in 2024(2024ZN20)Key Laboratory of Mongolian Medicine Open Fund Project of Inner Mongolia Autonomous Region(GX20240003)+2 种基金Inner Mongolia Medicine Collaborative Innovation Center Achievement Transformation and Cultivation Project(MYYXTPY202402)Project of Construction of Key Laboratory of Mongolian Medicine in Universities of Inner Mongolia Autonomous Region(RZ2400000451)Project of Construction of Key Laboratory of Mongolian Medicine Research Platform in Inner Mongolia Autonomous Region(DC2400000724).
文摘This paper reviews the related formulas of Sugemule,introduces the advances in research of clinical application of these formulas in treating Heyi type insomnia,cardiac diseases,and renal diseases.Besides,it summarizes pharmacological research advances regarding these formulas,including their anti-insomnia effects,cardioprotective properties,and ovarian function preservation capabilities.This study is expected to provide a reference and insight for in-depth and systematic research on classical Mongolian medicinal formulas.
基金Jinhua Traditional Chinese Medicine Science and Technology Research Project:Gut Microbiota Distribution Characteristics in Spleen-Deficiency Colorectal Adenoma Patients(No.2023KR04)Jinhua Traditional Chinese Medicine Science and Technology Major Research Project:Clinical Efficacy and Mechanism of Shugan Jianpi Tiaochang Pills in Preventing Postoperative Recurrence of Colorectal Adenomas based on Metabolomics Technology(No.2024ZD03)。
文摘OBJECTIVES:To systematically review the efficacy and safety of Jianpi formulas(健脾剂)in reducing the recurrence of colorectal adenoma(CRA)after polypectomy.METHODS:Randomized controlled trials(RCTs)investigating Jianpi formulas for CRA post-polypectomy were systematically retrieved from eight electronic databases.The quality of the methodology was assessed using the Cochrane collaboration tool.The Grades of Recommendations Assessment Development and Evaluation(GRADE)approach was employed for evidence assessment.Statistical analyses were conducted using Statistics and Data Analysis(STATA)17(StataCorp(College Station,TX,USA)and Review Manager(RevMan)5.4(The Cochrane Collaboration(London,UK).RESULTS:The Meta-analysis,encompassing 18 RCTs with 1838 patients,revealed that Jianpi formulas significantly outperformed postoperative routine treatment.It demonstrated a reduction in the half-year recurrence rate[relative risk(RR)=0.41,95%confidence interval(CI)=0.33-0.49,Z=9.08,P<0.00001],the oneyear recurrence rate[RR=0.58,95%CI=0.49-0.69,Z=6.12,P<0.00001],and an enhancement in the clinical effective rate[RR=1.27,95%CI=1.19-1.36,Z=7.06,P<0.00001].The half-year recurrence rate and the clinical effective rate were medium-quality evidence.The one-year recurrence rate was low-quality evidence.Additionally,Jianpi formulas appear to be safe and do not increase adverse reactions compared to postoperative routine treatment alone.CONCLUSION:Jianpi formulas exhibit efficacy in reducing postoperative half-year and one-year recurrence rates while improving the clinical effective rate after polypectomy for CRA.
基金supported by Yunnan Provincial Major Science and Technology Special Program(No.202402AA310035)Yunnan Key Laboratory of Dai and Yi Medicines(Yunnan University of Chinese Medicine)(No.2024JS2404)Research Foundation of Chuxiong Medical College(No.2024YYXM38).
文摘Background:Hua-Yi-Jie-Du formula(HYJD)is a traditional Chinese medicine that has proven effective against viral pneumonia and was extensively used during the COVID-19 pandemic.This study investigates how HYJD influences group 2 innate lymphoid cell(ILC2)and nucleotide oligomerization domain(NOD)-like receptor protein 3(NLRP3)inflammasome activation in a mouse model of viral pneumonia.Methods:A mouse model of viral pneumonia was established through the administration of polyinosinic-polycytidylic acid(poly(I:C))via nasal drops.Histopathological analysis of lung tissue was conducted,alongside enzyme-linked immunosorbent assay to quantify cytokine levels in serum and bronchoalveolar lavage fluid(BALF).Flow cytometry was employed to detect ILC2 cells in lung tissue and spleen,while immunofluorescence techniques were utilized to visualize ILC2 cells in lung tissue.Transcriptomic sequencing was performed,and the results were validated using qRT-PCR and western blot analysis.Results:HYJD significantly ameliorated inflammatory infiltration in lung tissue,decreased mucus protein secretion,and reduced the serum levels of inflammatory cytokines interleukin(IL)-1β,IL-6,and tumor necrosis factor-alpha(TNF-α).Additionally,it lowered the expression of cytokines IL-4,IL-5,IL-13,IL-25,thymic stromal lymphopoietin(TSLP),and IL-33 in BALF,and reduced the differentiation of ILC2 cells in both lung tissue and spleen.Transcriptomic analysis and experimental validation revealed that HYJD downregulated the expression of NLRP3 related genes and proteins within the NOD-like receptor signaling pathway.Conclusion:The mechanism by which HYJD intervenes in acute lung injury associated with viral pneumonia may involve the reduction of ILC2 cells differentiation and the inhibition of NLRP3 activation.
基金supported by the National Natural Science Foundation of China(Nos.82430116 and 82574622)the Special Fund of Central Committee High Level Chinese Medicine Hospital(Nos.DZMG-LJRC-0014,DZMG-ZJXY-23013)+1 种基金Chinese Medicine Inheritance and Innovation“Thousand Million”Talents Project(Qihuang Project 2021)Qihuang Scholarsthe Medical and Health Industry Development Project of Tongzhou District(2023).
文摘Chronic heart failure(CHF)impairs cognitive function.Xijiaqi Formula(XJQ),a traditional Chinese medicine(TCM)used clinically to treat CHF,demonstrates potential for improving cognition in CHF patients.However,its precise mechanism in treating post-CHF cognitive dysfunction remains unclear.This study systematically investigates XJQ’s effects on post-CHF cognitive dysfunction and the underlying mechanisms.The components of XJQ were identified through liquid chromatography-mass spectrometry.CHF was induced in rats via ligation of the left anterior descending coronary artery,followed by six weeks of XJQ treatment.Cardiac function was evaluated through echocardiography and hemodynamic parameters,while cognitive function was assessed using Morris water maze(MWM)and open field tests(OFT).XJQ treatment enhanced both cardiac and cognitive functions in CHF rats.Network pharmacology identified 12 core active components of XJQ and indicated its effect on cognitive dysfunction involved regulating synapses,inflammation,and phosphodiesterase 4(PDE4)-dependent cyclic adenosine monophosphate(cAMP)signaling.XJQ inhibited microglial and astrocyte activation,decreased proinflammatory cytokines,and mitigated neuronal damage.Notably,XJQ promoted synaptic repair and dendritic growth by downregulating PDE4 and upregulating cAMP,protein kinase A(PKA),cAMP-response element binding protein(CREB),brain-derived neurotrophic factor(BDNF),PSD95,and synapsin I levels.Molecular docking and Bio-layer interferometry assays confirmed direct binding of quercetin,kaempferol,isorhamnetin,and darutoside to PDE4.In conclusion,XJQ alleviates neuroinflammation and enhances synaptic plasticity to improve cognitive dysfunction in CHF rats via the PDE4/cAMP/PKA/CREB signaling pathway.These findings provide valuable insight into the heart-brain axis.
文摘In present paper, using some methods of approximation theory, the trace formulas for eigenvalues of a eigenvalue problem are calculated under the periodic condition and the decaying condition at x∞.
基金supported by grants of Far Eastern Memorial Hospital (FEMH-97-HHC-008), Taiwan,China
文摘AIM: To investigate the predictability of intraocular lens (IOL) power calculation using the IOLMaster and different IOL power calculation formulas in eyes with various axial length (AL). METHODS: Patients were included who underwent uneventful phacoemulsification with IOL implantation in the Department of Ophthalmology, Far Eastern Memorial Hospital, Taipei, Taiwan, China from February 2007 to January 2009. Preoperative AL and keratometric values (Ks) were measured by IOLMaster optical biometry. Patients were divided into 3 groups based on AL less than 22mm (Group 1), 22-26mm (Group 2), and more than 26mm (Group 3). The power of the implanted IOL was used to calculate the predicted postoperative spherical equivalence (SE) by various formulas: the Haigis, Hoffer Q, Holladay 1, and SRK/T. The predictive accuracy of each formula was analyzed by comparing the difference between the actual and predicted postoperative SE (MedAE, median absolute error). All the patients had follow-up periods exceeding 3 months. RESULTS: Totally, there were 200 eyes (33 eyes in Group 1, 92 eyes in Group 2, 75 eyes in Group 3). In all patients, the Haigis had the significantly lower MedAE generated by the other formulas (P【0.05). In Group 1 to 3, the MedAE calculated by the Haigis was either significantly lower or comparable to those calculated by the other formulas.CONCLUSION: Compared with other formulas using IOLMaster biometric data, the Haigis formula yields superior refractive results in eyes with various AL.
基金Supported by an Internal Research of New Vision Inc. and Nobel Eye Institute
文摘The multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anterior chamber depth(ACD) and vitreous chamber depth(VCD) are calculated, including nonlinear terms for more accurate rate functions than the linear theory. Our theory, consistent with the empirical data, shows that the Pearson correlation coefficients for spherical equivalent(SE) and ocular components are highest for SE with axial length, ACD and VCD and weakest for corneal power, lens power and lens thickness. Moreover, our regression formulas show the asymmetric feature of the correlation that the axial length, ACD and VCD are more strongly correlated(with higher negative regression constants) with refractive errors in eyes with hyperopia than in eyes with myopia, particularly for severe hyperopia.
基金funded by a grant from the Ministry of Agriculture and Rural Affairs of China (05162130111242003)Sino-Dutch Dairy Development Centre (SDDDC2017R02)
文摘A series of safety incidents related to domestically-produced infant formulas(DIFs) almost destroyed Chinese consumer confidence in domestic dairy products. Understanding consumer confidence and its effect on consumption behavior is important to restore consumer confidence and enhance the competitiveness of domestic dairy industry. This article first measures Chinese consumer confidence in DIFs safety using a two-dimension scale(optimism and pessimism) and then investigates its effect on consumers’ preferences for DIFs through a choice experiment. Involving 450 consumers residing in Beijing, Tianjin and Shijiazhuang, the experiment elicited information on their preferences for DIFs with six attributes(organic raw milk, farm-to-table traceability, region of origin, quality certification, animal welfare, and price). Our analysis yields four findings. First, Chinese consumers still lack confidence in DIFs safety. Second, quality certification is the most preferred product characteristic, followed by organic raw milk and farm-to-table traceability. Third, serving as a signal of high quality, price exerts a positive impact on choices of DIFs for pessimistic consumers. Finally, consumer preferences for farm-to-table traceability and region of origin are significantly influenced by consumer confidence.
文摘Lewis developed a 2D-representation of molecules, charged or uncharged, known as structural formula, and stated the criteria to draw it. At the time, the vast majority of known molecules followed the octet-rule, one of Lewis’s criteria. The same method was however rapidly applied to represent compounds that do not follow the octet-rule, i.e. compounds for which some of the composing atoms have greater or less than eight electrons in their valence shell. In a previous paper, an even-odd rule was proposed and shown to apply to both types of uncharged molecules. In the present paper, the even-odd rule is extended with the objective to encompass all single-bonded ions in one group: Lewis’s ions, hypo- and hypervalent ions. The base of the even-odd representation is compatible with Lewis’s diagram. Additionally, each atom is subscripted with an even number calculated by adding the valence number, the number of covalent bonds of the element, and its electrical charge. This paper describes how to calculate the latter number and in doing so, how charge and electron-pairs can actually be precisely localized. Using ions known to be compatible with Lewis’s rule of eight, the even-odd rule is compared with the former. The even-odd rule is then applied to ions known as hypo- or hypervalent. An interesting side effect of the presented rule is that charge and electron-pairs are unambiguously assigned to one of the atoms composing the single-charged ion. Ions that follow the octet rule and ions that do not, are thus reconciled in one group called “electron-paired ions” due to the absence of unpaired electrons. A future paper will focus on the connection between the even-odd rule and molecules or ions having multiple bonds.
文摘In organic chemistry, as defined by Abegg, Kossel, Lewis and Langmuir, compounds are normally represented using structural formulas called Lewis structures. In these structures, the octet rule is used to define the number of covalent bonds that each atom forms with its neighbors and multiple bonds are frequent. Lewis’ octet rule has unfortunately shown limitations very early when applied to non-organic compounds: most of them remain incompatible with the “rule of eight” and location of charges is uncertain. In an attempt to unify structural formulas of octet and non-octet molecules or single-charge ions, an even-odd rule was recently proposed, together with a procedure to locate charge precisely. This even-odd rule has introduced a charge-dependent effective-valence number calculated for each atom. With this number and the number of covalent bonds of each element, two even numbers are calculated. These numbers are both used to understand and draw structuralformulas of single-covalent-bonded compounds. In the present paper, a procedure is proposed to adjust structural formulas of compounds that are commonly represented with multiple bonds. In order to keep them compatible with the even-odd rule, they will be represented using only single covalent bonds. The procedure will then describe the consequences of bond simplification on charges locations. The newly obtained representations are compared to their conventional structural formulas, i.e. single-bond representation vs. multiple-bond structures. Throughout the comparison process, charges are precisely located and assigned to specific atoms. After discussion of particular cases of compounds, the paper finally concludes that a rule limiting representations of multiplecovalent bonds to single covalent bonds, seems to be suitable for numerous known compounds.
文摘With the aid of Mullin-Rota's substitution rule, we show that the Sheffertype differential operators together with the delta operators ? and D could be used to construct a pair of expansion formulas that imply a wide variety of summation formulas in the discrete analysis and combinatorics. A convergence theorem is established for a fruitful source formula that implies more than 20 noted classical fomulas and identities as consequences. Numerous new formulas are also presented as illustrative examples. Finally, it is shown that a kind of lifting process can be used to produce certain chains of(∞~m) degree formulas for m ≥ 3 with m ≡ 1(mod 2) and m ≡ 1(mod 3), respectively.
