Journal of Mathematical and Fundamental Sciences最新文献

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Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis 霍乱疾病的最优控制问题及成本效益分析
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-09-08 DOI: 10.5614/j.math.fund.sci.2021.53.2.3
Jhoana P. Romero–Leiton, M. Ozair, Takasar Hussaing
{"title":"Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis","authors":"Jhoana P. Romero–Leiton, M. Ozair, Takasar Hussaing","doi":"10.5614/j.math.fund.sci.2021.53.2.3","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2021.53.2.3","url":null,"abstract":"Cholera is a disease that continues to be a threat to public health globally and is an indicator of inequity and lack of social development in countries. For this reason, strategies for its control need to be investigated. In this work, an optimal control problem related to cholera disease was formulated by introducing personal protection, drug treatment and water sanitation as control strategies. First, the existence and characterization of controls to minimize the performance index or cost function was proved by using classic control theory. Then, the theoretical results were validated with numerical experiments by using data reported in the literature. Finally, the effectiveness and efficiency of the proposed controls were determined through a cost-effectiveness analysis. The results showed that the use of the three controls simultaneously is the cheapest and most effective strategy to control the disease.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91050559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A Study on Characteristics and Comparison of Evaporation Estimation Methods in Bandung 万隆地区蒸发量估算方法的特点及比较研究
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-08-24 DOI: 10.5614/j.math.fund.sci.2021.53.2.2
Rusmawan Suwarman, Novitasari Novitasari, I. D. G. A. Junnaedhi
{"title":"A Study on Characteristics and Comparison of Evaporation Estimation Methods in Bandung","authors":"Rusmawan Suwarman, Novitasari Novitasari, I. D. G. A. Junnaedhi","doi":"10.5614/j.math.fund.sci.2021.53.2.2","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2021.53.2.2","url":null,"abstract":"This study aims to understand the characteristic of evaporation and to evaluate the evaporation estimation methods to be employed in Bandung by using observation data at three different land cover characteristics sites, namely, densely vegetated area (Baleendah), densely built-up area (Ujung Berung), and mix of buildings and vegetation area (ITB). Observation data used are hourly evaporation, vapour pressure deficit, temperature, relative humidity, wind speed, and radiation. The analysis was done mostly by using statistical methods such as regression analysis and error comparison. The result shows the dominant weather factor affecting the evaporation in ITB and Ujung Berung is vapour pressure deficit, and in Baleendah is solar radiation. The methods of evaporation estimations used in this study are Trabert, Schendel, Turc, and CIMIS-Penman methods. The result shows that the original constant values of those methods are significantly correlated. However, the Schendel is found the most overestimated, and the second is Turc. The best estimated evaporation in Baleendah, ITB, and Ujung Berung is calculated using CIMIS-Penman with one hour lag of radiation, Trabert, and Calibrated Schendel, respectively. The improvement of constant value was applied to Schendel and the result is better than the original constants.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77766668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Properties of the Environment of Galaxies in Clusters of Galaxies CL 0024+1654 and RX J0152.7−1357 CL 0024+1654和RX J0152.7−1357星系团中星系环境的性质
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-06-28 DOI: 10.5614/j.math.fund.sci.2021.53.3.7
P. Premadi, D. Nugroho, A. Jaelani
{"title":"Properties of the Environment of Galaxies in Clusters of Galaxies CL 0024+1654 and RX J0152.7−1357","authors":"P. Premadi, D. Nugroho, A. Jaelani","doi":"10.5614/j.math.fund.sci.2021.53.3.7","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2021.53.3.7","url":null,"abstract":"We report the results of combined analyses of X-ray and optical data of two galaxy clusters, CL 0024+1654 and RX J0152.7−1357 at redshift z = 0.395 and z = 0.830, respectively, offering a holistic physical description of the two clusters. Our X-ray analysis yielded temperature and density profiles of the gas in the intra-cluster medium (ICM). Using optical photometric and spectroscopic data, complemented with mass distribution from a gravitational lensing study, we investigated any possible correlation between the physical properties of the galaxy members, i.e. their color, morphology, and star formation rate (SFR), and their environments. We quantified the properties of the environment around each galaxy by galaxy number density, ICM temperature, and mass density. Although our results show that the two clusters exhibit a weaker correlation compared to relaxed clusters, it still confirms the significant effect of the ICM on the SFR in the galaxies. The close relation between the physical properties of galaxies and the condition of their immediate environment found in this work indicates the locality of galaxy evolution, even within a larger bound system such as a cluster. Various physical mechanisms are suggested to explain the relation between the properties of galaxies and their environment.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90110520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Graphs of Neighborhood Metric Dimension Two 邻域度量维二的图
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-06-10 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.9
B. Sooryanarayana, Suma Agani Shanmukha
{"title":"Graphs of Neighborhood Metric Dimension Two","authors":"B. Sooryanarayana, Suma Agani Shanmukha","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.9","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.9","url":null,"abstract":"A subset S of vertices of a simple connected graph is a neighborhood set (n-set) of G if G is the union of subgraphs of G induced by the closed neighbors of elements in S. Further, a set S is a resolving set of G if for each pair of distinct vertices x, y of G, there is a vertex s ∈ S such that d(s, x) ≠ d(s, y). An n-set that serves as a resolving set for G is called an nr-set of G. The nr-set with least cardinality is called an nr-metric basis of G and its cardinality is called the neighborhood metric dimension of graph G. In this paper, we characterize graphs of neighborhood metric dimension two.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75490735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Indonesian Micromelum minutum Leave Extracts and Their Cytotoxic Activities toward Breast Cancer Cell Lines 印尼小茴香叶提取物及其对乳腺癌细胞系的细胞毒活性研究
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-06-07 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.8
R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida
{"title":"Indonesian Micromelum minutum Leave Extracts and Their Cytotoxic Activities toward Breast Cancer Cell Lines","authors":"R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.8","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.8","url":null,"abstract":"Isolation and identification of compounds and pharmacological activity of Micromelum minutum grown in some countries has been done, but M. minutum from Indonesia has not been studied yet, either phytochemically or pharmacologically. The objective of this study was to determine the cytotoxic activity of Indonesian M. minutum leave extracts toward MCF-7 and 4T1 breast cancer cell lines. The leaves were obtained from M. minutum grown in Bantimurung National Park, Bulusaraung, South Sulawesi. They were macerated gradually in hexane, ethyl acetate, and methanol. The cytotoxic activity of the obtained extracts was determined by MTT assay. The extraction yielded hexane (HEM), ethyl acetate (EEM), and methanol (MEM) extracts of 2.65, 6.12, and 6.49%, respectively. HEM was the most active extract, with IC50 values of 148 and 87 μg/mL on MCF-7 and 4T1 cells, respectively, followed by EEM (185 and 170 μg/mL). MEM possessed weak potency, with an IC50 value of 384 μg/mL on MCF-7 cells, and was not toxic toward 4T1 cells. Therefore, HEM is important to be further investigated for its active constituents.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81793720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Microwave-Assisted Claisen-Schmidt Condensation Reaction of Ethyl p-methoxycinnamate to Synthesize p-Methoxystyryl Ketone Derivatives and Evaluate Anti-inflammatory Activity of Synthetic Products 微波辅助clisen - schmidt缩合反应合成对甲氧基苯乙烯酮衍生物及其抗炎活性评价
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-06-07 DOI: 10.5614/J.FUND.MATH.SCI.2021.53.1.6
Ismiarni Komala, S. Supandi, Nurmeilis Nurmeilis, Yardi Yardi, Ofa Suzanti Betha, N. Indriyani, Moethia Moethia, Muhamad Beny Setiawan, Ghilman Dharmawan, Putri Hayati Nufus, Noni Tri Utami
{"title":"Microwave-Assisted Claisen-Schmidt Condensation Reaction of Ethyl p-methoxycinnamate to Synthesize p-Methoxystyryl Ketone Derivatives and Evaluate Anti-inflammatory Activity of Synthetic Products","authors":"Ismiarni Komala, S. Supandi, Nurmeilis Nurmeilis, Yardi Yardi, Ofa Suzanti Betha, N. Indriyani, Moethia Moethia, Muhamad Beny Setiawan, Ghilman Dharmawan, Putri Hayati Nufus, Noni Tri Utami","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.6","DOIUrl":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.6","url":null,"abstract":"The rhizome of Kaempferia galanga has been known to contain ethyl p-methoxycinnamate (EPMC) (1) as a main component, which has anti-inflammatory properties. Previously we have reported the structural modification of EPMC (1) to form another ester, nitrostyrene, and cinnammamide derivatives and then studied their structure-activity relationships as anti-inflammatory agent. In continuing our research, in this paper, we report the microwave-assisted Claisen-Schmidt condensation of EPMC (1) to synthesize a series of p-methoxystyryl ketones followed by a study of their anti-inflammatory activity. The reaction begins with microwave-assisted cleavage oxidation of hydrolyzed product of EPMC, p-methoxycinnamic acid (2) with Ca(NO3)2 for the synthesis of p-methoxybenzaldehyde (3). Furthermore, 3 was reacted with acetophenone, ethyl methyl ketone and acetone via microwave-assisted Claisen-Schmidt condensation for the synthesis of (E)-1-(4-methoxyphenyl)-3-phenylprop-2-en-1-one (5a) (E)-1-(4-methoxyphenyl)pent-1-en-3-one (5b) and (E)-4-(4-methoxyphenyl)but-3-en-2-one (5c), respectively. The reaction products were characterized using spectroscopic techniques and were then tested for anti-inflammatory activity using in vitro anti-denaturation of protein assay. It was found that converting EPMC (1) to 5a and 5b reduced anti-inflammatory activity, while 5c retained anti-denaturation activity with an IC50 of 72.8 µg/ml.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90832931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chemical Constituents of Indonesian Micromelum minutum Leaves and Their Cytotoxicity Against MCF-7 and 4T1 Breast Cancer Cells 印尼微香叶化学成分及其对MCF-7和4T1乳腺癌细胞的细胞毒性研究
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-06-07 DOI: 10.5614/J.FUND.MATH.SCI.2021.53.1.7
R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida
{"title":"Chemical Constituents of Indonesian Micromelum minutum Leaves and Their Cytotoxicity Against MCF-7 and 4T1 Breast Cancer Cells","authors":"R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.7","DOIUrl":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.7","url":null,"abstract":"Micromelum minutum is used widely in traditional folk medicine. Although this species has been investigated extensively and several bioactive compounds have been isolated, little work has been done on Indonesian M. minutum. This research aimed to study the chemical constituents and biological activities of M. minutum cultivated in Bantimurung Bulusaraung National Park, South Sulawesi, Indonesia. The isolated compounds were assessed for their cytotoxicity towards MCF-7 and 4T1 cell lines by MTT method. The dried ground leaves of M. minutum were sequentially macerated with n-hexane, ethyl acetate, and methanol. The n-hexane and ethyl acetate extracts contained a flavonoid 5,7-dihydroxy-3,4',8-trimethoxyflavone (1) which inhibited MCF-7 and 4T1 cell viability by 50% at concentrations of 369±8 and 227±5 µM, respectively. Further separation of the ethyl acetate extract by column chromatography yielded acetyldihydromicromelin A (2) and a mixture of dihydromicromelin A (3) and dihydromicromelin B (4), which were not active toward MCF-7 and 4T1 cells.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77769634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials 与Chebyshev多项式相关的Salagean微分算子的(P, Q)模拟定义的双一价函数的系数估计
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-20 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.4
T. Panigrahi, S. K. Mohapatra
{"title":"Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials","authors":"T. Panigrahi, S. K. Mohapatra","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.4","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.4","url":null,"abstract":"In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90848298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An Analysis of CTMC Stochastic Models with Quarantine on the Spread of Tuberculosis Diseases 带检疫的CTMC随机模型对结核病传播的影响分析
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-20 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.3
Fatimatuzzahroh Fatimatuzzahroh, H. Sumarno, P. Sianturi
{"title":"An Analysis of CTMC Stochastic Models with Quarantine on the Spread of Tuberculosis Diseases","authors":"Fatimatuzzahroh Fatimatuzzahroh, H. Sumarno, P. Sianturi","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.3","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.3","url":null,"abstract":"The SIQRS epidemic model developed in this study is intended to analyze the spread characteristics of the infectious disease tuberculosis. It is a modification of the SIQR model developed by Cao et al., using a stochastic model called the Continuous Time Markov Chains (CTMC) approach. Further analysis of the SIQRS model was done to determine the transitional probability, the outbreak probability, the expected time until disease extinction and to simulate the effect of quarantine treatment on the expected time until disease extinction. Based on the simulation it can be concluded that a decrease of the healing rate together with an increase of the transmission rate changes the basic reproduction number (R0), the expected number of infected individuals (m), the time until disease extinction, and the outbreak probability. A disease outbreak will occur if both R0 > 1 and m > 1 hold. Also, based on the simulation it was concluded that the decrease of the healing rate and the increase of the transmission rate cause increases of R0 and m. An increase of the quarantine rate reduces the expected time to disease extinction, R0 and m. As a consequence, the disease will gradually disappear from the system.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88905037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Some Remarks on Results Related to ∇-Convex Function 关于∇-凸函数相关结果的若干注释
IF 0.7
Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-20 DOI: 10.5614/J.FUND.MATH.SCI.2021.53.1.5
Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir
{"title":"Some Remarks on Results Related to ∇-Convex Function","authors":"Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.5","DOIUrl":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.5","url":null,"abstract":"In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order ∇ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79777683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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