Recent trends suggest that Chinese herbal medicine formulas(CHM formulas)are promising treatments for complex diseases.To characterize the precise syndromes,precise diseases and precise targets of the precise targets ...Recent trends suggest that Chinese herbal medicine formulas(CHM formulas)are promising treatments for complex diseases.To characterize the precise syndromes,precise diseases and precise targets of the precise targets between complex diseases and CHM formulas,we developed an artificial intelligence-based quantitative predictive algorithm(DeepTCM).DeepTCM has gone through multilevel model calibration and validation against a comprehensive set of herb and disease data so that it accurately captures the complex cellular signaling,molecular and theoretical levels of traditional Chinese medicine(TCM).As an example,our model simulated the optimal CHM formulas for the treatment of coronary heart disease(CHD)with depression,and through model sensitivity analysis,we calculated the balanced scoring of the formulas.Furthermore,we constructed a biological knowledge graph representing interactions by associating herb-target and gene-disease interactions.Finally,we experimentally confirmed the therapeutic effect and pharmacological mechanism of a novel model-predicted intervention in humans and mice.This novel multiscale model opened up a new avenue to combine“disease syndrome”and“macro micro”system modeling to facilitate translational research in CHM formulas.展开更多
We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists betw...We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.展开更多
Ulcerative colitis(UC)is a chronic inflammatory bowel disease that presents significant treatment challenges due to its complexity,especially in terms of the various side effects that traditional medications may bring...Ulcerative colitis(UC)is a chronic inflammatory bowel disease that presents significant treatment challenges due to its complexity,especially in terms of the various side effects that traditional medications may bring during the chronic course of the disease.Traditional Chinese medicine(TCM)has emerged as a promising complementary therapy for UC.Based on the latest research,our editorial explored the current issues and potential essential research directions for TCM in treating UC.We anticipate that future high-quality research will pave the way for the optimization of TCM formulas for UC and their broader global application.展开更多
[Objectives]This study was conducted to explore the source of substitutive substrate raw materials for cultivation of edible fungi,reduce the cutting and use of woody materials,and realize harmless treatment and resou...[Objectives]This study was conducted to explore the source of substitutive substrate raw materials for cultivation of edible fungi,reduce the cutting and use of woody materials,and realize harmless treatment and resource utilization of byproducts from Chinese medicine production and bamboo processing.[Methods]Traditional Chinese medicine residue and bamboo shavings were used to partially replace hardwood sawdust in the conventional formula,and the growth of Auricularia auricula mycelia in large test tubes under different substrate formulas was studied.[Results]The results showed that the mycelia of A.auricula could grow normally on substrates with byproducts,and the mycelia grew differently with different formulas,and the performance of different strains of the same species was also different.Compared with the conventional formula,the suitable substitution amount of bamboo shavings for A.auricula strains was 10%-30%,and the substitution amount of Chinese medicine residue was 5%-15%.[Conclusions]This study provides reference for the efficient utilization of byproducts and the expansion of raw material sources for production of edible fungi.展开更多
Chinese guideline has proven effective in the fight against coronavirus disease 2019(COVID-19)during the global spread of the epidemic.Traditional Chinese medicine(TCM)is widely recognized for its effectiveness in all...Chinese guideline has proven effective in the fight against coronavirus disease 2019(COVID-19)during the global spread of the epidemic.Traditional Chinese medicine(TCM)is widely recognized for its effectiveness in alleviating symptoms,inhibiting disease progress,reducing mortality,and improving the cure rate of patients with COVID-19.During the pandemic,“three medicines and three formulas”(TMTFs)stood out from hundreds of others in registered clinical studies,which became highly recommended as TCM for COVID-19 treatment.The TMTFs not only effectively relieve the clinical symptoms of fever,cough,fatigue,and phlegm,but also substantially shorten the time of nucleic acid negative conversion,improve lung computed tomography imaging features and inflammation,ameliorate clinical biochemical indicators,and reduce sequelae.Their potential pharmacological mechanisms are mainly related to the crosstalk between viral toxicity,endothelial damage,cytokine storm,immune response,and microthrombus.In brief,the clinical effects and the potential mechanisms of TMTFs on COVID-19 were systematically analyzed and summarized covering the entirety of disease development,including virus invasion and replication,immune response and cytokine storm,and acute respiratory distress syndrome and multiple organ dysfunction syndrome.This review provides a theoretical basis and reference for the in-depth understanding of the positive role of TMTFs in COVID-19 treatment.展开更多
We gave the localized solutions,the interaction solutions and the mixed solutions to a reduced(3+1)-dimensional nonlinear evolution equation.These solutions were characterized by superposition formulas of positive qua...We gave the localized solutions,the interaction solutions and the mixed solutions to a reduced(3+1)-dimensional nonlinear evolution equation.These solutions were characterized by superposition formulas of positive quadratic functions,the exponential and hyperbolic functions.According to the known lump solution in the outset,we obtained the superposition formulas of positive quadratic functions by plausible reasoning.Next,we constructed the interaction solutions between the localized solutions and the exponential function solutions with the similar theory.These two kinds of solutions contained superposition formulas of positive quadratic functions,which were turned into general ternary quadratic functions,the coefficients of which were all rational operation of vector inner product.Then we obtained linear superposition formulas of exponential and hyperbolic function solutions.Finally,for aforementioned various solutions,their dynamic properties were showed by choosing specific values for parameters.From concrete plots,we observed wave characteristics of three kinds of solutions.Especially,we could observe distinct generation and separation situations when the localized wave and the stripe wave interacted at different time points.展开更多
Auto-grading,as an instruction tool,could reduce teachers’workload,provide students with instant feedback and support highly personalized learning.Therefore,this topic attracts considerable attentions from researcher...Auto-grading,as an instruction tool,could reduce teachers’workload,provide students with instant feedback and support highly personalized learning.Therefore,this topic attracts considerable attentions from researchers recently.To realize the automatic grading of handwritten chemistry assignments,the problem of chemical notations recognition should be solved first.The recent handwritten chemical notations recognition solutions belonging to the end-to-end trainable category suffered fromthe problem of lacking the accurate alignment information between the input and output.They serve the aim of reading notations into electrical devices to better prepare relevant edocuments instead of auto-grading handwritten assignments.To tackle this limitation to enable the auto-grading of handwritten chemistry assignments at a fine-grained level.In this work,we propose a component-detectionbased approach for recognizing off-line handwritten Organic Cyclic Compound Structure Formulas(OCCSFs).Specifically,we define different components of OCCSFs as objects(including graphical objects and text objects),and adopt the deep learning detector to detect them.Then,regarding the detected text objects,we introduce an improved attention-based encoder-decoder model for text recognition.Finally,with these detection results and the geometric relationships of detected objects,this article designs a holistic algorithm for interpreting the spatial structure of handwritten OCCSFs.The proposedmethod is evaluated on a self-collected data set consisting of 3000 samples and achieves promising results.展开更多
In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also...In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also obtain some new terminated identities. Furthermore, we establish a companion identity to the Rogers-Ramanujan identity labelled by number (23) on Slater’s list.展开更多
Objective To explore the rules and characteristics of the adverse drug reactions(ADRs)of three Chinese patent medicines and three herbal formulas for the treatment of COVID-19,and to provide a reference for clinical s...Objective To explore the rules and characteristics of the adverse drug reactions(ADRs)of three Chinese patent medicines and three herbal formulas for the treatment of COVID-19,and to provide a reference for clinical safe medication.Methods The cases and ADR reports of the three Chinese patent medicines and three herbal formulas in PubMed,Web of Science,Springer Link,CNKI,Wanfang and VIP database were retrieved from December 2019 to May 2021.Then we extracted and analyzed the effective information included in the literature.Results and Conclusion According to the pre-developed retrieval plan,a total of 136 documents were obtained,and a total of 6 documents met the inclusion criteria finally.553 patients used three Chinese patent medicines and three herbal formulas,and there were 133 cases of adverse reactions.The adverse reactions of patients taking the three Chinese patent medicines and three herbal formulas can all be explained under the theory of traditional Chinese medicine,and the adverse reactions can be eliminated by adding or subtracting the flavor of the medicine or stopping the medicine.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∞.
In this paper we investigate the complexity of several problems concerning 2CNF formulas. At first, we show that the minimal unsatisfiability problem for 2CNF formulas can be solved in linear time. Then we prove that ...In this paper we investigate the complexity of several problems concerning 2CNF formulas. At first, we show that the minimal unsatisfiability problem for 2CNF formulas can be solved in linear time. Then we prove that the problem determining if a 2CNF formula can be transformed to a minimal unsatisfiable formula is also solvable in linear time. Thirdly, we show the polynomial solvability of the satisfiability problem for symmetric monotone formulas in which all clauses has length 2 or ? n - k ( n is the ...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
AIM:To evaluate the accuracy of eight different intraocular lens(IOL)power calculation formulas for a segmented multifocal IOL.METHODS:A total of 53 eyes of 41 adult cataract patients who underwent phacoemulsification...AIM:To evaluate the accuracy of eight different intraocular lens(IOL)power calculation formulas for a segmented multifocal IOL.METHODS:A total of 53 eyes of 41 adult cataract patients who underwent phacoemulsification and implantation with the SBL-3 segmented multifocal IOL between January 1,2017 and January 31,2019 were included in this retrospective study.Preoperative biometry measurements were obtained using an IOL Master.Manifest refraction was performed at least 4 wk postoperatively.Accuracy of the eight formulas[Barrett Universal II,Emmetropia Verifying Optical(EVO),Haigis,Hill-RBF 2.0,Hoffer Q,Holladay 1,Kane,and SRK/T]was analyzed.RESULTS:Using current lens constants,all formulas exhibited errors of slight myopic shift in refractive prediction.The Barrett Universal II formula had a significantly lower median absolute error(MedAE)than did Holladay 1(P=0.02),Kane(P=0.001)and Hill-RBF 2.0(P<0.001)formulas.The Haigis formula had a lower MedAE value than did the Hill-RBF 2.0 formula(P=0.005).Differences in MedAE values among SRK/T,EVO and Hoffer Q formulas were not significant.After optimizing lens constants,the MedAE values of all formulas were reduced;significant changes were noted for EVO(P=0.022),Haigis(P=0.048);Hill-RBF 2.0(P=0.014),Holladay 1(P=0.045)and Kane(P=0.022)formulas.All formulas performed equally well after optimization of lens constants(P=0.203).CONCLUSION:All eight formulas tend to result in a myopic shift when using current lens constants.Optimized lens constants improve the accuracy of these formulas among adult Chinese patients.展开更多
AIM: To test if total ghrelin is present in infant formulas. METHODS: Using a radioimmunoassay, we measured total ghrelin concentrations in 19 samples of commercial infant formulas and in 20 samples of human milk. We ...AIM: To test if total ghrelin is present in infant formulas. METHODS: Using a radioimmunoassay, we measured total ghrelin concentrations in 19 samples of commercial infant formulas and in 20 samples of human milk. We also determined ghrelin concentration in the serum of infants and lactating mothers. RESULTS: Ghrelin concentrations were significantly higher in artificial milk (2007.1 ± 1725.36 pg/mL) than in human milk (828.17 ± 323.32 pg/mL) (P = 0.005). The mean ghrelin concentration in infant serum (n = 56) was 1115.86 ± 42.89 pg/mL, and was significantly higher (P = 0.023) in formula-fed infants (1247.93 ± 328.07 pg/mL) than in breast-fed infants (1045.7 ± 263.38 pg/mL). The mean serum ghrelin concentration (mean ± SD) in lactating mothers (n = 20) was 1319.18 ± 140.18 pg/mL. CONCLUSION: This study provides evidence that total ghrelin is present in infant formulas. This findingraises diverse questions regarding the uptake, absorption and metabolic effects of this hormone.展开更多
In this paper,we derive some∂∂^(-)-Bochner formulas for holomorphic maps between Hermitian manifolds.As applications,we prove some Schwarz lemma type estimates,and some rigidity and degeneracy theorems.For instance,we...In this paper,we derive some∂∂^(-)-Bochner formulas for holomorphic maps between Hermitian manifolds.As applications,we prove some Schwarz lemma type estimates,and some rigidity and degeneracy theorems.For instance,we show that there is no non-constant holomorphic map from a compact Hermitian manifold with positive(resp.non-negative)ℓ-second Ricci curvature to a Hermitian manifold with non-positive(resp.negative)real bisectional curvature.These theorems generalize the results[5,6]proved recently by L.Ni on Kähler manifolds to Hermitian manifolds.We also derive an integral inequality for a holomorphic map between Hermitian manifolds.展开更多
In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix eleme...In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.展开更多
We point out a new route to deducing integration formulas, i.e., using the technique of integration within an ordered product (IWOP) of operators we derive some new integration formulas, which seems concise. As a by...We point out a new route to deducing integration formulas, i.e., using the technique of integration within an ordered product (IWOP) of operators we derive some new integration formulas, which seems concise. As a by-product, some new operator identities also appear.展开更多
In order to define the loading on protective doors of an underground tunnel, the exact knowledge of the blast propagation through tunnels is needed. Thirty-three scale high-explosive tests are conducted to obtain in-t...In order to define the loading on protective doors of an underground tunnel, the exact knowledge of the blast propagation through tunnels is needed. Thirty-three scale high-explosive tests are conducted to obtain in-tunnel blast pressure for detonations external, internal and at the tunnel entrance. The cross section of the concrete model tunnel is 0.67 m2. Explosive charges of TNT, ranging in mass from 400 g to 4 600 g, are detonated at various positions along the central axis of the model tunnel. Blast gages are flush-installed in the interior surface of the tunnel to record side-on blast pressure as it propagates down the tunnel. The engineering empirical formulas for predicting blast peak pressure are evaluated, and are found to be reasonably accurate for in-tunnel pressure prediction.展开更多
Objective:Used extensively to treat cardiovascular disease,Danqi analogous formulas(DQAF)include prescriptions for Danqi(DQ),Fufang Danshen(FFDS)and Qishen Yiqi(QSYQ).Differences in prescription compatibility result i...Objective:Used extensively to treat cardiovascular disease,Danqi analogous formulas(DQAF)include prescriptions for Danqi(DQ),Fufang Danshen(FFDS)and Qishen Yiqi(QSYQ).Differences in prescription compatibility result in varying emphases of DQAF in clinical application.Methods and results:Based on network analysis in this study,common and distinct mechanisms of DQAF actions on cardiovascular disease were analyzed at a systemic level.Components etargetsepathways models were developed by Cytoscape(http://www.cytoscape.org/);whereby,target information for active compounds was obtained based on the PharmMapper database(http://59.78.96.61/pharmmapper/),which was further used to search pathways using the Kyoto Encyclopedia of Genes and Genomes database(http://www.genome.jp/kegg/).Based on target and network analyses,we discovered RBP4 is a potential common target of DQAF,while mitogen-activated protein kinase 1(MAPK1)and glutathione S-transferase P were potential targets of FFDS and QSYQ,respectively.Furthermore,the potential of DQAF to treat cardiovascular disease occurs through effects on the endocrine,immune,and digestive systems,in addition to lipid,sugar and amino acid metabolic pathways.Whereas FFDS exhibits effects on Toll-like receptor,transforming growth factor beta and MAPK signaling pathways;QSYQ exerts effects on cyclic adenosine monophosphate signaling,as well as metabolism of glutathione and arachidonic acid.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.:82174246)the National Key R&D Program of China(Grant No.:2019YFC1708701)the Postdoctoral Innovation Talent Support Program(Grant No.:BX20220329).
文摘Recent trends suggest that Chinese herbal medicine formulas(CHM formulas)are promising treatments for complex diseases.To characterize the precise syndromes,precise diseases and precise targets of the precise targets between complex diseases and CHM formulas,we developed an artificial intelligence-based quantitative predictive algorithm(DeepTCM).DeepTCM has gone through multilevel model calibration and validation against a comprehensive set of herb and disease data so that it accurately captures the complex cellular signaling,molecular and theoretical levels of traditional Chinese medicine(TCM).As an example,our model simulated the optimal CHM formulas for the treatment of coronary heart disease(CHD)with depression,and through model sensitivity analysis,we calculated the balanced scoring of the formulas.Furthermore,we constructed a biological knowledge graph representing interactions by associating herb-target and gene-disease interactions.Finally,we experimentally confirmed the therapeutic effect and pharmacological mechanism of a novel model-predicted intervention in humans and mice.This novel multiscale model opened up a new avenue to combine“disease syndrome”and“macro micro”system modeling to facilitate translational research in CHM formulas.
文摘We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.
基金Supported by Education and Teaching Reform Project of the First Clinical College of Chongqing Medical University,No.CMER202305Natural Science Foundation of Tibet Autonomous Region,No.XZ2024ZR-ZY100(Z).
文摘Ulcerative colitis(UC)is a chronic inflammatory bowel disease that presents significant treatment challenges due to its complexity,especially in terms of the various side effects that traditional medications may bring during the chronic course of the disease.Traditional Chinese medicine(TCM)has emerged as a promising complementary therapy for UC.Based on the latest research,our editorial explored the current issues and potential essential research directions for TCM in treating UC.We anticipate that future high-quality research will pave the way for the optimization of TCM formulas for UC and their broader global application.
基金Supported by Guizhou Provincial Program on Commercialization of Scientific and Technological Achievements(QKZYD[2022]4047)Guizhou Provincial Edible Fungus Industrial Technology System[GZMARS-SYJ-2024-2026].
文摘[Objectives]This study was conducted to explore the source of substitutive substrate raw materials for cultivation of edible fungi,reduce the cutting and use of woody materials,and realize harmless treatment and resource utilization of byproducts from Chinese medicine production and bamboo processing.[Methods]Traditional Chinese medicine residue and bamboo shavings were used to partially replace hardwood sawdust in the conventional formula,and the growth of Auricularia auricula mycelia in large test tubes under different substrate formulas was studied.[Results]The results showed that the mycelia of A.auricula could grow normally on substrates with byproducts,and the mycelia grew differently with different formulas,and the performance of different strains of the same species was also different.Compared with the conventional formula,the suitable substitution amount of bamboo shavings for A.auricula strains was 10%-30%,and the substitution amount of Chinese medicine residue was 5%-15%.[Conclusions]This study provides reference for the efficient utilization of byproducts and the expansion of raw material sources for production of edible fungi.
基金supported by grants from the National Science Foundation of China (NSFC 82104431)Open project of State Key Laboratory of Component-based Chinese Medicine (CBCM2020201)+1 种基金the National Key R&D Program of China (2020YFA0708004)Tianjin Education Commission Scientific Research Project (2022KJ148).
文摘Chinese guideline has proven effective in the fight against coronavirus disease 2019(COVID-19)during the global spread of the epidemic.Traditional Chinese medicine(TCM)is widely recognized for its effectiveness in alleviating symptoms,inhibiting disease progress,reducing mortality,and improving the cure rate of patients with COVID-19.During the pandemic,“three medicines and three formulas”(TMTFs)stood out from hundreds of others in registered clinical studies,which became highly recommended as TCM for COVID-19 treatment.The TMTFs not only effectively relieve the clinical symptoms of fever,cough,fatigue,and phlegm,but also substantially shorten the time of nucleic acid negative conversion,improve lung computed tomography imaging features and inflammation,ameliorate clinical biochemical indicators,and reduce sequelae.Their potential pharmacological mechanisms are mainly related to the crosstalk between viral toxicity,endothelial damage,cytokine storm,immune response,and microthrombus.In brief,the clinical effects and the potential mechanisms of TMTFs on COVID-19 were systematically analyzed and summarized covering the entirety of disease development,including virus invasion and replication,immune response and cytokine storm,and acute respiratory distress syndrome and multiple organ dysfunction syndrome.This review provides a theoretical basis and reference for the in-depth understanding of the positive role of TMTFs in COVID-19 treatment.
基金the National Natural Science Foundation of China(Grant No.12061054)Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region of China(Grant No.NJYT-20A06)。
文摘We gave the localized solutions,the interaction solutions and the mixed solutions to a reduced(3+1)-dimensional nonlinear evolution equation.These solutions were characterized by superposition formulas of positive quadratic functions,the exponential and hyperbolic functions.According to the known lump solution in the outset,we obtained the superposition formulas of positive quadratic functions by plausible reasoning.Next,we constructed the interaction solutions between the localized solutions and the exponential function solutions with the similar theory.These two kinds of solutions contained superposition formulas of positive quadratic functions,which were turned into general ternary quadratic functions,the coefficients of which were all rational operation of vector inner product.Then we obtained linear superposition formulas of exponential and hyperbolic function solutions.Finally,for aforementioned various solutions,their dynamic properties were showed by choosing specific values for parameters.From concrete plots,we observed wave characteristics of three kinds of solutions.Especially,we could observe distinct generation and separation situations when the localized wave and the stripe wave interacted at different time points.
基金supported by National Natural Science Foundation of China (Nos.62007014 and 62177024)the Humanities and Social Sciences Youth Fund of the Ministry of Education (No.20YJC880024)+1 种基金China Post Doctoral Science Foundation (No.2019M652678)the Fundamental Research Funds for the Central Universities (No.CCNU20ZT019).
文摘Auto-grading,as an instruction tool,could reduce teachers’workload,provide students with instant feedback and support highly personalized learning.Therefore,this topic attracts considerable attentions from researchers recently.To realize the automatic grading of handwritten chemistry assignments,the problem of chemical notations recognition should be solved first.The recent handwritten chemical notations recognition solutions belonging to the end-to-end trainable category suffered fromthe problem of lacking the accurate alignment information between the input and output.They serve the aim of reading notations into electrical devices to better prepare relevant edocuments instead of auto-grading handwritten assignments.To tackle this limitation to enable the auto-grading of handwritten chemistry assignments at a fine-grained level.In this work,we propose a component-detectionbased approach for recognizing off-line handwritten Organic Cyclic Compound Structure Formulas(OCCSFs).Specifically,we define different components of OCCSFs as objects(including graphical objects and text objects),and adopt the deep learning detector to detect them.Then,regarding the detected text objects,we introduce an improved attention-based encoder-decoder model for text recognition.Finally,with these detection results and the geometric relationships of detected objects,this article designs a holistic algorithm for interpreting the spatial structure of handwritten OCCSFs.The proposedmethod is evaluated on a self-collected data set consisting of 3000 samples and achieves promising results.
文摘In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also obtain some new terminated identities. Furthermore, we establish a companion identity to the Rogers-Ramanujan identity labelled by number (23) on Slater’s list.
文摘Objective To explore the rules and characteristics of the adverse drug reactions(ADRs)of three Chinese patent medicines and three herbal formulas for the treatment of COVID-19,and to provide a reference for clinical safe medication.Methods The cases and ADR reports of the three Chinese patent medicines and three herbal formulas in PubMed,Web of Science,Springer Link,CNKI,Wanfang and VIP database were retrieved from December 2019 to May 2021.Then we extracted and analyzed the effective information included in the literature.Results and Conclusion According to the pre-developed retrieval plan,a total of 136 documents were obtained,and a total of 6 documents met the inclusion criteria finally.553 patients used three Chinese patent medicines and three herbal formulas,and there were 133 cases of adverse reactions.The adverse reactions of patients taking the three Chinese patent medicines and three herbal formulas can all be explained under the theory of traditional Chinese medicine,and the adverse reactions can be eliminated by adding or subtracting the flavor of the medicine or stopping the medicine.
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∞.
文摘In this paper we investigate the complexity of several problems concerning 2CNF formulas. At first, we show that the minimal unsatisfiability problem for 2CNF formulas can be solved in linear time. Then we prove that the problem determining if a 2CNF formula can be transformed to a minimal unsatisfiable formula is also solvable in linear time. Thirdly, we show the polynomial solvability of the satisfiability problem for symmetric monotone formulas in which all clauses has length 2 or ? n - k ( n is the ...
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Supported by National Key Research and Development Program of China(No.2017YFC1104600)National Natural Science Foundation of China(No.81770909)。
文摘AIM:To evaluate the accuracy of eight different intraocular lens(IOL)power calculation formulas for a segmented multifocal IOL.METHODS:A total of 53 eyes of 41 adult cataract patients who underwent phacoemulsification and implantation with the SBL-3 segmented multifocal IOL between January 1,2017 and January 31,2019 were included in this retrospective study.Preoperative biometry measurements were obtained using an IOL Master.Manifest refraction was performed at least 4 wk postoperatively.Accuracy of the eight formulas[Barrett Universal II,Emmetropia Verifying Optical(EVO),Haigis,Hill-RBF 2.0,Hoffer Q,Holladay 1,Kane,and SRK/T]was analyzed.RESULTS:Using current lens constants,all formulas exhibited errors of slight myopic shift in refractive prediction.The Barrett Universal II formula had a significantly lower median absolute error(MedAE)than did Holladay 1(P=0.02),Kane(P=0.001)and Hill-RBF 2.0(P<0.001)formulas.The Haigis formula had a lower MedAE value than did the Hill-RBF 2.0 formula(P=0.005).Differences in MedAE values among SRK/T,EVO and Hoffer Q formulas were not significant.After optimizing lens constants,the MedAE values of all formulas were reduced;significant changes were noted for EVO(P=0.022),Haigis(P=0.048);Hill-RBF 2.0(P=0.014),Holladay 1(P=0.045)and Kane(P=0.022)formulas.All formulas performed equally well after optimization of lens constants(P=0.203).CONCLUSION:All eight formulas tend to result in a myopic shift when using current lens constants.Optimized lens constants improve the accuracy of these formulas among adult Chinese patients.
基金Supported by a MIUR Grant for Project of Research (ex60%-2008) Italy
文摘AIM: To test if total ghrelin is present in infant formulas. METHODS: Using a radioimmunoassay, we measured total ghrelin concentrations in 19 samples of commercial infant formulas and in 20 samples of human milk. We also determined ghrelin concentration in the serum of infants and lactating mothers. RESULTS: Ghrelin concentrations were significantly higher in artificial milk (2007.1 ± 1725.36 pg/mL) than in human milk (828.17 ± 323.32 pg/mL) (P = 0.005). The mean ghrelin concentration in infant serum (n = 56) was 1115.86 ± 42.89 pg/mL, and was significantly higher (P = 0.023) in formula-fed infants (1247.93 ± 328.07 pg/mL) than in breast-fed infants (1045.7 ± 263.38 pg/mL). The mean serum ghrelin concentration (mean ± SD) in lactating mothers (n = 20) was 1319.18 ± 140.18 pg/mL. CONCLUSION: This study provides evidence that total ghrelin is present in infant formulas. This findingraises diverse questions regarding the uptake, absorption and metabolic effects of this hormone.
基金supported by National Natural Science Foundation of China(12001490)Natural Science Foundation of Zhejiang Province(LQ20A010005).
文摘In this paper,we derive some∂∂^(-)-Bochner formulas for holomorphic maps between Hermitian manifolds.As applications,we prove some Schwarz lemma type estimates,and some rigidity and degeneracy theorems.For instance,we show that there is no non-constant holomorphic map from a compact Hermitian manifold with positive(resp.non-negative)ℓ-second Ricci curvature to a Hermitian manifold with non-positive(resp.negative)real bisectional curvature.These theorems generalize the results[5,6]proved recently by L.Ni on Kähler manifolds to Hermitian manifolds.We also derive an integral inequality for a holomorphic map between Hermitian manifolds.
文摘In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived.
基金*Supported by the National Natural Science Foundation of China under Grant No. 10775097, and the Natural Science Foundation of Heze University of Shandong Province, under Crant No. XY07WL01
文摘We point out a new route to deducing integration formulas, i.e., using the technique of integration within an ordered product (IWOP) of operators we derive some new integration formulas, which seems concise. As a by-product, some new operator identities also appear.
文摘In order to define the loading on protective doors of an underground tunnel, the exact knowledge of the blast propagation through tunnels is needed. Thirty-three scale high-explosive tests are conducted to obtain in-tunnel blast pressure for detonations external, internal and at the tunnel entrance. The cross section of the concrete model tunnel is 0.67 m2. Explosive charges of TNT, ranging in mass from 400 g to 4 600 g, are detonated at various positions along the central axis of the model tunnel. Blast gages are flush-installed in the interior surface of the tunnel to record side-on blast pressure as it propagates down the tunnel. The engineering empirical formulas for predicting blast peak pressure are evaluated, and are found to be reasonably accurate for in-tunnel pressure prediction.
基金support of this work by the National Natural Science Foundation of China(No.81430094 and 81173522)the National Key Technology R&D Program(2008BAI51B01).
文摘Objective:Used extensively to treat cardiovascular disease,Danqi analogous formulas(DQAF)include prescriptions for Danqi(DQ),Fufang Danshen(FFDS)and Qishen Yiqi(QSYQ).Differences in prescription compatibility result in varying emphases of DQAF in clinical application.Methods and results:Based on network analysis in this study,common and distinct mechanisms of DQAF actions on cardiovascular disease were analyzed at a systemic level.Components etargetsepathways models were developed by Cytoscape(http://www.cytoscape.org/);whereby,target information for active compounds was obtained based on the PharmMapper database(http://59.78.96.61/pharmmapper/),which was further used to search pathways using the Kyoto Encyclopedia of Genes and Genomes database(http://www.genome.jp/kegg/).Based on target and network analyses,we discovered RBP4 is a potential common target of DQAF,while mitogen-activated protein kinase 1(MAPK1)and glutathione S-transferase P were potential targets of FFDS and QSYQ,respectively.Furthermore,the potential of DQAF to treat cardiovascular disease occurs through effects on the endocrine,immune,and digestive systems,in addition to lipid,sugar and amino acid metabolic pathways.Whereas FFDS exhibits effects on Toll-like receptor,transforming growth factor beta and MAPK signaling pathways;QSYQ exerts effects on cyclic adenosine monophosphate signaling,as well as metabolism of glutathione and arachidonic acid.