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
OBJECTIVE: To explore whether Soufeng Yuchuan(搜风愈喘, SFYC) formula alleviates asthma by promoting ferroptosis of airway epithelial cells. METHODS: A chronic asthma rat model was established using ovalbumin(OVA) com...OBJECTIVE: To explore whether Soufeng Yuchuan(搜风愈喘, SFYC) formula alleviates asthma by promoting ferroptosis of airway epithelial cells. METHODS: A chronic asthma rat model was established using ovalbumin(OVA) combined with aluminum hydroxide sensitization and OVA nebulization stimulation. Lung tissue pathology was assessed via hematoxylin and eosin staining and periodic acid-Schiff staining. Lung tissue ultrastructure was observed using transmission electron microscopy. Serum cytokine levels were measured by enzyme-linked immunosorbent assay. Malondialdehyde(MDA), glutathione, and tissue ferrous ion content in rat lung tissues and cells were detected using commercial kits. Immunohistochemical staining was used to determine the expression levels of interleukin-13(IL-13) and interleukin-6(IL-6) in lung tissue. Western blotting was employed to detect the expression levels of transferrin receptor 1(TFR1), transferrin receptor 2(TFR2), acyl-Co A synthetase longchain family member 4(ACSL4), glutathione peroxidase 4(GPX4), and solute carrier family 7 member 11(SLC7A11). Cell proliferation, apoptosis and reactive oxygen species(ROS) were evaluated using a cell counting kit-8 assay and flow cytometry. Intracellular lipid peroxidation was detected using a C11-BODIPY 581/591(C11-BODIPY) probe. RESULTS: SFYC formula effectively alleviates airway inflammation in asthmatic rats in a dose-dependent manner. It improves airway epithelial cell integrity, reduces alveolar wall thickening and expansion, inhibits goblet cell proliferation and mucus secretion, and decreases the expression of IL-6 and IL-13 in lung tissue, as well as the serum levels of IL-6, IL-13, interleukin-4(IL-4), and immunoglobulin E(Ig E). SFYC formula mitigates ferroptosis in lung tissue of asthmatic rats. At the cellular level, it promotes proliferation of rat airway epithelial cells, inhibits cell apoptosis, suppresses ROS, MDA, and lipid accumulation, reduces the expression of TFR1, TFR2, and ASCL4, and increases the expression of GPX4 and SLC7A11 to mitigate ferroptosis. CONCLUSION: SFYC formula alleviates asthma airway inflammation by inhibiting ferroptosis in airway epithelial cells, providing new insights and potential therapeutic targets for the development of new asthma treatment drugs.展开更多
A Cu-1.9Ni-1.9Co-0.9Si(mass fraction,%)alloy with high strength and electrical conductivity was designed by cluster formula approach.The microstructure evolution of the alloy during thermomechanical treatment was syst...A Cu-1.9Ni-1.9Co-0.9Si(mass fraction,%)alloy with high strength and electrical conductivity was designed by cluster formula approach.The microstructure evolution of the alloy during thermomechanical treatment was systematically investigated.The strengthening mechanism and electrical conductivity of the alloy were discussed in detail.The optimal thermomechanical treatment process was as follows:solid solution→80%cold rolling→(450℃,4 h)aging→50%cold rolling→(400℃,4 h)aging.The designed alloy achieved excellent comprehensive properties with a microhardness of HV 260,a yield strength of 843 MPa,a tensile strength of 884 MPa,and an electrical conductivity of 42.6%(IACS).Compared to direct aging treatment,the designed alloy subjected to multi-stage thermomechanical treatment had refined grains,high density of dislocations,and accelerated of precipitation of(Ni,Co)_(2)Si precipitates.High strength was mainly attributed to the combined effect of dislocation strengthening,work hardening and sub-grain strengthening,while good electrical conductivity was maintained through the precipitation of the large number of nanoparticles.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
Triacylglycerol(TAG)components in human milk,infant formulas with different fat sources,and plant oils(palm oil,flaxseed oil,sunflower oil,corn oil,soybean oil,coconut oil,low erucic acid rapeseed oil,and high oleic a...Triacylglycerol(TAG)components in human milk,infant formulas with different fat sources,and plant oils(palm oil,flaxseed oil,sunflower oil,corn oil,soybean oil,coconut oil,low erucic acid rapeseed oil,and high oleic acid rapeseed oil)were analyzed and compared using ultraperformance supercritical fluid chromatography coupled with quadrupole time-of-flight mass spectrometry(UPSFC-Q-TOF-MS).Distinct TAG profiles were identified by lipidomics,principal component analysis(PCA),and heatmap visualization.Human milk was characterized by a high abundance of medium-and long-chain triacylglycerols(MLCTs),saturated-unsaturated-unsaturated(SUU)-type TAGs(sn-2 palmitic acid).In contrast,plant oils lacked MLCTs and SUU-type TAGs,containing mainly TAGs esterified long-chain polyunsaturated fatty acid.Breast milk contains about 27%MLCT,about 50%SUU-type triacylglycerols(which contain about 34%UPU-type triacylglycerols),which is significantly different from plant oils,structured fats and infant formulas.These findings provide a clear basis for optimizing the fat blend in infant formula to better mimic the unique TAG profile of human milk,thereby improving energy delivery and nutrient absorption for infants.展开更多
OBJECTIVE:To investigate the pharmacological effects and underlying mechanisms of Pinggan Yuyin Qingre formula(平肝育阴清热方,PGYYQR)in the treatment of meibomian gland dysfunction(MGD)through network pharmacology and...OBJECTIVE:To investigate the pharmacological effects and underlying mechanisms of Pinggan Yuyin Qingre formula(平肝育阴清热方,PGYYQR)in the treatment of meibomian gland dysfunction(MGD)through network pharmacology and in vivo validation.METHODS:A mouse model of MGD was induced using the stearoyl-coenzyme a desaturase 1 inhibitor,followed by PGYYQR treatment for 2 weeks.MGD sign scoring,hematoxylin and eosin(HE)staining,oil red o(ORO)staining,and serum inflammatory cytokine analysis were conducted to assess the effects of PGYYQR on meibomian gland(MG)function,histopathology,and associated inflammation.Network pharmacology was employed to identify the active compounds and potential targets of PGYYQR.Molecular mechanisms were further investigated using Western blotting,reverse transcription quantitative real-time polymerase chain reaction,and reactive oxygen species(ROS)assays.RESULTS:PGYYQR treatment significantly reduced the scores of MG orifice obstruction and meibum quality in MGD mice.HE and ORO staining further demonstrated that PGYYQR ameliorated glandular damage and lipid dysfunction.Enzyme-linked immunosorbent assay results revealed that PGYYQR markedly decreased the serum levels of key inflammatory cytokines,including interleukin(IL)-1β,IL-6,and tumor necrosis factor-α.Network pharmacology identified 162 active compounds and 598 target genes in PGYYQR.Among these,IL-6,IL-1β,matrix metalloproteinase-9,and C-X-C motif chemokine ligand 8 were recognized as core targets related to MGD and were mainly enriched in the IL-17/nuclear factor kappa B(NF-κB)signaling pathway.Further molecular analyses confirmed that PGYYQR significantly inhibited the IL-17/NF-κB axis by downregulating IL-17 expression and reducing phosphorylated NF-κB p65 levels at both the protein and m RNA levels in MG tissues.PGYYQR also effectively reduced ROS levels in the conjunctival tissues of MGD mice.CONCLUSION:PGYYQR effectively improves MG function and preserves local tissue morphology in MGD model mice,primarily by suppressing the inflammatory response through coordinated modulation of the IL-17/NF-κB signaling pathway and oxidative stress.展开更多
OBJECTIVE:To explore the bioactive constituents,key targets,signalling pathways,and molecular mechanisms of Lianshi Jianpi formula(莲实健脾方,LSJPF)in the treatment of impaired glucose tolerance(IGT)through network ph...OBJECTIVE:To explore the bioactive constituents,key targets,signalling pathways,and molecular mechanisms of Lianshi Jianpi formula(莲实健脾方,LSJPF)in the treatment of impaired glucose tolerance(IGT)through network pharmacology,molecular docking,and in vivo experiments.METHODS:The active ingredients and targets of LSJPF were identified using the Traditional Chinese Medicine Systems Pharmacology and HERB databases,whereas the IGT-related targets were sourced from Gene Cards,Dis Ge NET,and Pub Med.The overlap analysis identified potential targets of LSJPF.Protein-protein interaction networks and core targets were evaluated using the Search Tool for the Retrieval of Interacting Genes/Proteins and Cytoscape,and molecular docking confirmed the binding affinities.Gene Ontology and Kyoto Encyclopedia of Genes and Genomes pathway enrichment analyses were performed using Metascape.The therapeutic mechanisms were validated in an animal IGT model.RESULTS:LSJPF contained 229 compounds,with 15 active compounds and 77 potential target proteins.The phosphatidylinositol-3-kinase(PI3K)-protein kinase B(AKT)signalling pathway emerged as a key IGT pathway.The KEGG enrichment analysis revealed the pivotal genes RAC-alpha serine/threonine-protein kinase(AKT1),heat shock protein 90 k Da alpha B1,and B-cell lymphoma 2 family protein,which predominantly interact with beta-sitosterol and beta-carotene,the major constituents of Semen Euryales,Semen lablab Album,Semen sojae Atricolor in LSJPF.Molecular docking revealed strong binding affinities between LSJPF and IGT-related targets.In an animal IGT model,LSJPF treatment prevented weight loss;reduced food and water intake;decreased blood glucose levels;improved insulin resistance;decreased serum triglyceride,cholesterol,and low-density lipoprotein cholesterol levels;alleviated liver pathology;and significantly increased the levels of phosphorylated adenosine 5'-monophosphate-activated protein kinase(AMPK),PI3K,and AKT,suggesting its potential role in regulating glucose and lipid metabolism.CONCLUSIONS:These findings reveal the potential of LSJPF as an IGT intervention that targets the AMPK/PI3K/AKT cascade,validating network pharmacology predictions and highlighting the role of multipathway mechanisms in metabolic diseases.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
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 Natural Science Foundation-funded Project:the Study on the Mechanism of Soufeng Yuchuan Formula in Regulating Airway Remodeling in Asthmatic Rats Based on Epithelial-Mesenchymal Transition(No. 82174438)。
文摘OBJECTIVE: To explore whether Soufeng Yuchuan(搜风愈喘, SFYC) formula alleviates asthma by promoting ferroptosis of airway epithelial cells. METHODS: A chronic asthma rat model was established using ovalbumin(OVA) combined with aluminum hydroxide sensitization and OVA nebulization stimulation. Lung tissue pathology was assessed via hematoxylin and eosin staining and periodic acid-Schiff staining. Lung tissue ultrastructure was observed using transmission electron microscopy. Serum cytokine levels were measured by enzyme-linked immunosorbent assay. Malondialdehyde(MDA), glutathione, and tissue ferrous ion content in rat lung tissues and cells were detected using commercial kits. Immunohistochemical staining was used to determine the expression levels of interleukin-13(IL-13) and interleukin-6(IL-6) in lung tissue. Western blotting was employed to detect the expression levels of transferrin receptor 1(TFR1), transferrin receptor 2(TFR2), acyl-Co A synthetase longchain family member 4(ACSL4), glutathione peroxidase 4(GPX4), and solute carrier family 7 member 11(SLC7A11). Cell proliferation, apoptosis and reactive oxygen species(ROS) were evaluated using a cell counting kit-8 assay and flow cytometry. Intracellular lipid peroxidation was detected using a C11-BODIPY 581/591(C11-BODIPY) probe. RESULTS: SFYC formula effectively alleviates airway inflammation in asthmatic rats in a dose-dependent manner. It improves airway epithelial cell integrity, reduces alveolar wall thickening and expansion, inhibits goblet cell proliferation and mucus secretion, and decreases the expression of IL-6 and IL-13 in lung tissue, as well as the serum levels of IL-6, IL-13, interleukin-4(IL-4), and immunoglobulin E(Ig E). SFYC formula mitigates ferroptosis in lung tissue of asthmatic rats. At the cellular level, it promotes proliferation of rat airway epithelial cells, inhibits cell apoptosis, suppresses ROS, MDA, and lipid accumulation, reduces the expression of TFR1, TFR2, and ASCL4, and increases the expression of GPX4 and SLC7A11 to mitigate ferroptosis. CONCLUSION: SFYC formula alleviates asthma airway inflammation by inhibiting ferroptosis in airway epithelial cells, providing new insights and potential therapeutic targets for the development of new asthma treatment drugs.
基金the financial support by the National Natural Science Foundation of China(No.U2202255)the Hunan Provincial Natural Science Foundation of China(No.2024JJ2076)the Key Research and Development Program of Ningbo,China(No.2023Z092)。
文摘A Cu-1.9Ni-1.9Co-0.9Si(mass fraction,%)alloy with high strength and electrical conductivity was designed by cluster formula approach.The microstructure evolution of the alloy during thermomechanical treatment was systematically investigated.The strengthening mechanism and electrical conductivity of the alloy were discussed in detail.The optimal thermomechanical treatment process was as follows:solid solution→80%cold rolling→(450℃,4 h)aging→50%cold rolling→(400℃,4 h)aging.The designed alloy achieved excellent comprehensive properties with a microhardness of HV 260,a yield strength of 843 MPa,a tensile strength of 884 MPa,and an electrical conductivity of 42.6%(IACS).Compared to direct aging treatment,the designed alloy subjected to multi-stage thermomechanical treatment had refined grains,high density of dislocations,and accelerated of precipitation of(Ni,Co)_(2)Si precipitates.High strength was mainly attributed to the combined effect of dislocation strengthening,work hardening and sub-grain strengthening,while good electrical conductivity was maintained through the precipitation of the large number of nanoparticles.
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.
基金supported by the National Key Research and Development Program of China(2021YFD2100700).
文摘Triacylglycerol(TAG)components in human milk,infant formulas with different fat sources,and plant oils(palm oil,flaxseed oil,sunflower oil,corn oil,soybean oil,coconut oil,low erucic acid rapeseed oil,and high oleic acid rapeseed oil)were analyzed and compared using ultraperformance supercritical fluid chromatography coupled with quadrupole time-of-flight mass spectrometry(UPSFC-Q-TOF-MS).Distinct TAG profiles were identified by lipidomics,principal component analysis(PCA),and heatmap visualization.Human milk was characterized by a high abundance of medium-and long-chain triacylglycerols(MLCTs),saturated-unsaturated-unsaturated(SUU)-type TAGs(sn-2 palmitic acid).In contrast,plant oils lacked MLCTs and SUU-type TAGs,containing mainly TAGs esterified long-chain polyunsaturated fatty acid.Breast milk contains about 27%MLCT,about 50%SUU-type triacylglycerols(which contain about 34%UPU-type triacylglycerols),which is significantly different from plant oils,structured fats and infant formulas.These findings provide a clear basis for optimizing the fat blend in infant formula to better mimic the unique TAG profile of human milk,thereby improving energy delivery and nutrient absorption for infants.
基金Supported by National Famous and Senior Chinese Medicine Expert Heritage Studio Construction Project:Zhi Nan Heritage Studio(No.75[2022])Beijing Municipal Key Traditional Chinese Medicine Specialty Development Project during the 14th Five-Year Plan Period(No.BJZKBC0029)。
文摘OBJECTIVE:To investigate the pharmacological effects and underlying mechanisms of Pinggan Yuyin Qingre formula(平肝育阴清热方,PGYYQR)in the treatment of meibomian gland dysfunction(MGD)through network pharmacology and in vivo validation.METHODS:A mouse model of MGD was induced using the stearoyl-coenzyme a desaturase 1 inhibitor,followed by PGYYQR treatment for 2 weeks.MGD sign scoring,hematoxylin and eosin(HE)staining,oil red o(ORO)staining,and serum inflammatory cytokine analysis were conducted to assess the effects of PGYYQR on meibomian gland(MG)function,histopathology,and associated inflammation.Network pharmacology was employed to identify the active compounds and potential targets of PGYYQR.Molecular mechanisms were further investigated using Western blotting,reverse transcription quantitative real-time polymerase chain reaction,and reactive oxygen species(ROS)assays.RESULTS:PGYYQR treatment significantly reduced the scores of MG orifice obstruction and meibum quality in MGD mice.HE and ORO staining further demonstrated that PGYYQR ameliorated glandular damage and lipid dysfunction.Enzyme-linked immunosorbent assay results revealed that PGYYQR markedly decreased the serum levels of key inflammatory cytokines,including interleukin(IL)-1β,IL-6,and tumor necrosis factor-α.Network pharmacology identified 162 active compounds and 598 target genes in PGYYQR.Among these,IL-6,IL-1β,matrix metalloproteinase-9,and C-X-C motif chemokine ligand 8 were recognized as core targets related to MGD and were mainly enriched in the IL-17/nuclear factor kappa B(NF-κB)signaling pathway.Further molecular analyses confirmed that PGYYQR significantly inhibited the IL-17/NF-κB axis by downregulating IL-17 expression and reducing phosphorylated NF-κB p65 levels at both the protein and m RNA levels in MG tissues.PGYYQR also effectively reduced ROS levels in the conjunctival tissues of MGD mice.CONCLUSION:PGYYQR effectively improves MG function and preserves local tissue morphology in MGD model mice,primarily by suppressing the inflammatory response through coordinated modulation of the IL-17/NF-κB signaling pathway and oxidative stress.
基金Supported by Natural Science Foundation of Fujian Province Project:To Investigate the Mechanism of Lianshi Jianpi Formula In Improving Impaired Glucose Tolerance via the Fibroblast Growth Factor 21-Mediated Adenosine 5‘-monophosphate-Activated Protein Kinases Energy Metabolism Pathway(No. 2023J01841)ZHOU Guoying Fujian Province Famous Traditional Chinese Medicine Inheritance Workstation Construction Project(Min Zhong Yi[2023] No. 56)。
文摘OBJECTIVE:To explore the bioactive constituents,key targets,signalling pathways,and molecular mechanisms of Lianshi Jianpi formula(莲实健脾方,LSJPF)in the treatment of impaired glucose tolerance(IGT)through network pharmacology,molecular docking,and in vivo experiments.METHODS:The active ingredients and targets of LSJPF were identified using the Traditional Chinese Medicine Systems Pharmacology and HERB databases,whereas the IGT-related targets were sourced from Gene Cards,Dis Ge NET,and Pub Med.The overlap analysis identified potential targets of LSJPF.Protein-protein interaction networks and core targets were evaluated using the Search Tool for the Retrieval of Interacting Genes/Proteins and Cytoscape,and molecular docking confirmed the binding affinities.Gene Ontology and Kyoto Encyclopedia of Genes and Genomes pathway enrichment analyses were performed using Metascape.The therapeutic mechanisms were validated in an animal IGT model.RESULTS:LSJPF contained 229 compounds,with 15 active compounds and 77 potential target proteins.The phosphatidylinositol-3-kinase(PI3K)-protein kinase B(AKT)signalling pathway emerged as a key IGT pathway.The KEGG enrichment analysis revealed the pivotal genes RAC-alpha serine/threonine-protein kinase(AKT1),heat shock protein 90 k Da alpha B1,and B-cell lymphoma 2 family protein,which predominantly interact with beta-sitosterol and beta-carotene,the major constituents of Semen Euryales,Semen lablab Album,Semen sojae Atricolor in LSJPF.Molecular docking revealed strong binding affinities between LSJPF and IGT-related targets.In an animal IGT model,LSJPF treatment prevented weight loss;reduced food and water intake;decreased blood glucose levels;improved insulin resistance;decreased serum triglyceride,cholesterol,and low-density lipoprotein cholesterol levels;alleviated liver pathology;and significantly increased the levels of phosphorylated adenosine 5'-monophosphate-activated protein kinase(AMPK),PI3K,and AKT,suggesting its potential role in regulating glucose and lipid metabolism.CONCLUSIONS:These findings reveal the potential of LSJPF as an IGT intervention that targets the AMPK/PI3K/AKT cascade,validating network pharmacology predictions and highlighting the role of multipathway mechanisms in metabolic diseases.
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.
