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 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
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
In this paper, firstly using different method and technique we derive the cor-responding integral representation formulas of （0, q）（q 〉 0） differential forms for the twotypes of the bounded domains in complex sub...In this paper, firstly using different method and technique we derive the cor-responding integral representation formulas of （0, q）（q 〉 0） differential forms for the twotypes of the bounded domains in complex submanifolds with codimension-m. Secondly weobtain the unified integral representation formulas of （0, q）（q 〉 0） differential forms for thegeneral bounded domain in complex submanifold with codimension-m, which include Hatzi-afratis formula, i.e. Koppelman type integral formula for the bounded domain with smoothboundary in analytic varieties. In particular, when m -- 0, we obtain the unified integralrepresentation formulas of （0, q）（q 〉 0） differential forms for general bounded domain in Cn,which are the generalization and the embodiment of Koppelman-Leray formula.展开更多
Ions or molecules are said to be isoelectronic if they are composed of different elements but have the same number of electrons, the same number of covalent bonds and the same structure. This criterion is unfortunatel...Ions or molecules are said to be isoelectronic if they are composed of different elements but have the same number of electrons, the same number of covalent bonds and the same structure. This criterion is unfortunately not sufficient to ensure that a chemical structure is a valid chemical compound. In a previous article, a procedure has been described to draw 2D valid structural formulas: the even-odd rule. This rule has been applied first to single-bonded molecules then to single-charged single-bonded ions. It covers hypovalent, hypervalent or classic Lewis’ octet compounds. The funding principle of the even-odd rule is that each atom of the compound possesses an outer-shell filled only with pairs of electrons. The application of this rule guarantees validity of any single-covalent-bond chemical structure. In the present paper, this even-odd rule and its electron-pair criterion are checked for coherence with an effective-valence isoelectronic rule using numerous known compounds having single-covalent-bond connections. The test addresses Lewis’ octet ions or molecules as well as hypovalent and hypervalent compounds. The article concludes that the even-odd rule and the effective-valence isoelectronicity rule are coherent for known single-covalent-bond chemical compounds.展开更多
In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fu...In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fundamental kinematic formula involving quermassintegral to the case of dual quermassintegral and chord power integrals.展开更多
Some It formulas with respect to mixed Fractional Brownian motion and Brownian motion were given in this paper.These extended the It formula for the fractional Wick It Skorohod integral with respect to Fractiona...Some It formulas with respect to mixed Fractional Brownian motion and Brownian motion were given in this paper.These extended the It formula for the fractional Wick It Skorohod integral with respect to Fractional Brownian motion,meanwhile extended the It formula for It Skorohod integral with respect to Brownian motion.Taylor's formula is applied to prove our conclusion in this article.展开更多
To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the s...To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.展开更多
AIM: To examine the effect of carob-bean gum(CBG) thickened-formulas on reflux and tolerance indices in infants with gastro-esophageal reflux(GER). METHODS: Fifty-six eligible infants(1-6 mo old) were randomly allocat...AIM: To examine the effect of carob-bean gum(CBG) thickened-formulas on reflux and tolerance indices in infants with gastro-esophageal reflux(GER). METHODS: Fifty-six eligible infants(1-6 mo old) were randomly allocated to receive for two weeks a formula with either 0.33 g/100 m L(Formula A) or 0.45 g/100 m L(Formula B) of cold soluble CBG galactomannans respectively, or a formula with 0.45 g/100 m L of hot soluble CBG galactomannans(Formula C). No control group receiving standard formula was included in the study. Data on the following indices were obtained both at baseline and follow-up from all study participants: 24 h esophageal p H monitoring indices, anthropometrical indices(i.e., body weight and length) and tolerance indices(i.e., frequency of colics; type and frequency ofdefecations). From the eligible infants, forty seven were included in an intention-to-treat analysis to examine the effects of the two-week trial on esophageal 24 h p H monitoring, growth and tolerance indices. Repeated Measures ANOVA was used to examine the research hypothesis.RESULTS: Regarding changes in 24 h p H monitoring indices, significant decreases from baseline to followup were observed in the "Boix Ochoa Score"(i.e., an index of esophageal acid exposure), in the total number of visible refluxes and in all symptoms related indices due to acid reflux only for infants provided with Formula A, while no significant changes were observed for infants provided with Formulas B and C. In addition, the significant decreases observed in two symptoms related p H monitoring indices(i.e., "Symptom index for reflux" and "Percentage of all reflux") for infants provided with Formula A were also found to differentiate significantly compared to the changes observed in the other two groups(P = 0.048 and P = 0.014 respectively). Concerning changes in anthropometric indices, body weight significantly increased among infants provided with Formulas A and C, but not for infants provided with Formula B. As far as tolerance indices were concerned, the numbers of total and diarrheic defecations increased significantly only in infants provided with Formula B and these changes were significantly higher compared to the decreases observed in infants fed with Formulas A and C(P = 0.003 and P = 0.015 respectively. Lastly the number of colics significantly decreased in all infants, irrespective of the tested formula. CONCLUSION: Formula A(i.e., 0.33 g/100 m L of cold galactomannans) was effective in reducing certain p Hmonitoring indices of uncomplicated GER, increased body weight and was well-tolerated by infants.展开更多
OBJECTIVE:Because herbal compatibility is one of the most important reasons why Traditional Chinese Medcine(TCM) formulas are effective for acquired immunodeficiency syndrome(AIDS),our study aimed to determine the com...OBJECTIVE:Because herbal compatibility is one of the most important reasons why Traditional Chinese Medcine(TCM) formulas are effective for acquired immunodeficiency syndrome(AIDS),our study aimed to determine the compatibility of herbs based on published AIDS clinical research in Chinese periodicals.To achieve this aim,we designed a new data-mining algorithm according to TCM data characteristics.METHODS:We found 25 clinical AIDS studies,all using Chinese herbs for treatment,in the Traditional Chinese Medicine Database System,and information on diagnosis and treatment was extracted.To find out herbal compatibility,especially the formulae for herbal combinations,we proposed an improved association rule algorithm based on the frequency of combinations.In this algorithm,all the compatibility relationships were displayed in a tree structure,by which the relationship between formulas and their derivation could be clearly inferred.RESULTS:Data analysis showed that approximately 100 herbs have been used for treating AIDS.Based on the whole herb compatibility tree,we calculated a basic formula for AIDS:Huang Qi combined with Ren Shen,Fu Ling,Bai Zhu,Bai Zhu,Dang Gui,and Bai Shao.This formula,deriving from most of clinical prescriptions,and was chosed by most of clinicians for AIDS treatment.From data mining we found that Qi replenishment and detoxification were the main treatment principles,which coincided with the AIDS pathological mechanism in which immune function is destroyed by human immunodeficiency virus(HIV).CONCLUSIONS:Our data-mining results suggest that the core TCM treatment of AIDS is replenishing Qi and detoxification,by which AIDS patients' immune system may be enhanced.Compatibility of Huang Qi with some frequently-used herbs have shown real efficacy in clinical practice,which warrants pharmacological research in the future.展开更多
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 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.
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.
文摘In this paper, firstly using different method and technique we derive the cor-responding integral representation formulas of （0, q）（q 〉 0） differential forms for the twotypes of the bounded domains in complex submanifolds with codimension-m. Secondly weobtain the unified integral representation formulas of （0, q）（q 〉 0） differential forms for thegeneral bounded domain in complex submanifold with codimension-m, which include Hatzi-afratis formula, i.e. Koppelman type integral formula for the bounded domain with smoothboundary in analytic varieties. In particular, when m -- 0, we obtain the unified integralrepresentation formulas of （0, q）（q 〉 0） differential forms for general bounded domain in Cn,which are the generalization and the embodiment of Koppelman-Leray formula.
文摘Ions or molecules are said to be isoelectronic if they are composed of different elements but have the same number of electrons, the same number of covalent bonds and the same structure. This criterion is unfortunately not sufficient to ensure that a chemical structure is a valid chemical compound. In a previous article, a procedure has been described to draw 2D valid structural formulas: the even-odd rule. This rule has been applied first to single-bonded molecules then to single-charged single-bonded ions. It covers hypovalent, hypervalent or classic Lewis’ octet compounds. The funding principle of the even-odd rule is that each atom of the compound possesses an outer-shell filled only with pairs of electrons. The application of this rule guarantees validity of any single-covalent-bond chemical structure. In the present paper, this even-odd rule and its electron-pair criterion are checked for coherence with an effective-valence isoelectronic rule using numerous known compounds having single-covalent-bond connections. The test addresses Lewis’ octet ions or molecules as well as hypovalent and hypervalent compounds. The article concludes that the even-odd rule and the effective-valence isoelectronicity rule are coherent for known single-covalent-bond chemical compounds.
文摘In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fundamental kinematic formula involving quermassintegral to the case of dual quermassintegral and chord power integrals.
基金Natural Science Foundation of Shanghai,China(No.07ZR14002)National Natural Science Foundation of China(No.60974030)
文摘Some It formulas with respect to mixed Fractional Brownian motion and Brownian motion were given in this paper.These extended the It formula for the fractional Wick It Skorohod integral with respect to Fractional Brownian motion,meanwhile extended the It formula for It Skorohod integral with respect to Brownian motion.Taylor's formula is applied to prove our conclusion in this article.
基金Project supported by the National Natural Science Foundation of China (No. 10271074)
文摘To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.
基金Supported by A research grant from Friesland Campina
文摘AIM: To examine the effect of carob-bean gum(CBG) thickened-formulas on reflux and tolerance indices in infants with gastro-esophageal reflux(GER). METHODS: Fifty-six eligible infants(1-6 mo old) were randomly allocated to receive for two weeks a formula with either 0.33 g/100 m L(Formula A) or 0.45 g/100 m L(Formula B) of cold soluble CBG galactomannans respectively, or a formula with 0.45 g/100 m L of hot soluble CBG galactomannans(Formula C). No control group receiving standard formula was included in the study. Data on the following indices were obtained both at baseline and follow-up from all study participants: 24 h esophageal p H monitoring indices, anthropometrical indices(i.e., body weight and length) and tolerance indices(i.e., frequency of colics; type and frequency ofdefecations). From the eligible infants, forty seven were included in an intention-to-treat analysis to examine the effects of the two-week trial on esophageal 24 h p H monitoring, growth and tolerance indices. Repeated Measures ANOVA was used to examine the research hypothesis.RESULTS: Regarding changes in 24 h p H monitoring indices, significant decreases from baseline to followup were observed in the "Boix Ochoa Score"(i.e., an index of esophageal acid exposure), in the total number of visible refluxes and in all symptoms related indices due to acid reflux only for infants provided with Formula A, while no significant changes were observed for infants provided with Formulas B and C. In addition, the significant decreases observed in two symptoms related p H monitoring indices(i.e., "Symptom index for reflux" and "Percentage of all reflux") for infants provided with Formula A were also found to differentiate significantly compared to the changes observed in the other two groups(P = 0.048 and P = 0.014 respectively). Concerning changes in anthropometric indices, body weight significantly increased among infants provided with Formulas A and C, but not for infants provided with Formula B. As far as tolerance indices were concerned, the numbers of total and diarrheic defecations increased significantly only in infants provided with Formula B and these changes were significantly higher compared to the decreases observed in infants fed with Formulas A and C(P = 0.003 and P = 0.015 respectively. Lastly the number of colics significantly decreased in all infants, irrespective of the tested formula. CONCLUSION: Formula A(i.e., 0.33 g/100 m L of cold galactomannans) was effective in reducing certain p Hmonitoring indices of uncomplicated GER, increased body weight and was well-tolerated by infants.
基金Supported by National 863 Project-High Performance Computer and Grid Service Environment-Traditional Chinese Medicine Scientific Data Grid Service Applications (2006AA01A122)
文摘OBJECTIVE:Because herbal compatibility is one of the most important reasons why Traditional Chinese Medcine(TCM) formulas are effective for acquired immunodeficiency syndrome(AIDS),our study aimed to determine the compatibility of herbs based on published AIDS clinical research in Chinese periodicals.To achieve this aim,we designed a new data-mining algorithm according to TCM data characteristics.METHODS:We found 25 clinical AIDS studies,all using Chinese herbs for treatment,in the Traditional Chinese Medicine Database System,and information on diagnosis and treatment was extracted.To find out herbal compatibility,especially the formulae for herbal combinations,we proposed an improved association rule algorithm based on the frequency of combinations.In this algorithm,all the compatibility relationships were displayed in a tree structure,by which the relationship between formulas and their derivation could be clearly inferred.RESULTS:Data analysis showed that approximately 100 herbs have been used for treating AIDS.Based on the whole herb compatibility tree,we calculated a basic formula for AIDS:Huang Qi combined with Ren Shen,Fu Ling,Bai Zhu,Bai Zhu,Dang Gui,and Bai Shao.This formula,deriving from most of clinical prescriptions,and was chosed by most of clinicians for AIDS treatment.From data mining we found that Qi replenishment and detoxification were the main treatment principles,which coincided with the AIDS pathological mechanism in which immune function is destroyed by human immunodeficiency virus(HIV).CONCLUSIONS:Our data-mining results suggest that the core TCM treatment of AIDS is replenishing Qi and detoxification,by which AIDS patients' immune system may be enhanced.Compatibility of Huang Qi with some frequently-used herbs have shown real efficacy in clinical practice,which warrants pharmacological research in the future.
