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Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition 基于改进Adomian分解的混合萤火虫算法优化非线性Hirota-Satsuma耦合KdV系统参数
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.7
O. Qasim, K. Abed, A. F. Qasim
In this paper, several parameters of the non-linear Hirota-Satsuma coupled KdV system were estimated using a hybrid between the Firefly Algorithm (FFA) and the Modified Adomian decomposition method (MADM). It turns out that optimal parameters can significantly improve the solutions when using a suitably selected fitness function for this problem. The results obtained show that the approximate solutions are highly compatible with the exact solutions and that the hybrid method FFA_MADM gives higher efficiency and accuracy compared to the classic MADM method.
本文采用萤火虫算法(FFA)和改进Adomian分解方法(MADM)的混合方法对非线性Hirota-Satsuma耦合KdV系统的几个参数进行了估计。结果表明,当选择合适的适应度函数时,最优参数可以显著改善该问题的解。结果表明,近似解与精确解具有较高的相容性,与经典的MADM方法相比,FFA_MADM混合方法具有更高的效率和精度。
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引用次数: 4
Comparative Study of the Dynamics of Cosmic Rays for the Pakistan and China Atmospheric Regions 巴基斯坦和中国大气区域宇宙射线动力学的比较研究
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.1
F. Nawaz, B. Jan, F. Afridi, M. A. K. Yousufzai, F. Mehmood
This paper presents an analysis of cosmic ray intensity in Pakistan air space using spatial interpolation, comparing it with Chinese cosmic ray records from 1984 to 1993. The Exploratory Data Analytic (EDA) approach was applied to compare the cosmic ray fluctuations in both countries. The time series plot of the monthly cosmic rays showed relatively flatter counts in Pakistan than in China. The cosmic ray data for the years 1984 to 1993 fell within Solar Cycle 22, which lasted from 1986 to 1996, with its maximum phase in 1989 to 1991. The cosmic radiation varies between the atmospheric regions of Pakistan and China due to modulations in intensity that are accessible accordingly. It can be explained by purely astrophysical phenomena: (1) the source of emission of cosmic radiation may be different, (2) the rate at which emanation takes place depends on bursts of deep space dynamical objects from their sources that may be affected by solar wind and other solar radiations. Therefore, modulations in intensity are not only due to different geophysical locations. This study will help government organizations to predict and forecast cosmic rays values.
本文用空间插值法分析了巴基斯坦空间的宇宙射线强度,并将其与中国1984 - 1993年的宇宙射线记录进行了比较。采用探索性数据分析方法比较了两国的宇宙射线波动。每月宇宙射线的时间序列图显示,巴基斯坦的宇宙射线数量比中国相对平坦。1984年至1993年的宇宙射线数据落在第22太阳周期内,从1986年持续到1996年,1989年至1991年是其最大阶段。宇宙辐射在巴基斯坦和中国的大气区域之间的变化是由于可以相应地获得的强度调制。这可以用纯粹的天体物理现象来解释:(1)宇宙辐射的发射源可能是不同的;(2)发射的速率取决于深空动力物体从其源发出的爆发,这些物体可能受到太阳风和其他太阳辐射的影响。因此,强度的调制不仅是由于不同的地球物理位置。这项研究将有助于政府机构预测和预测宇宙射线的值。
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引用次数: 0
Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi 南苏拉威西岛登革热SIR模型的改进变分迭代解
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.4
S. Mungkasi
The susceptible-infected-recovered (SIR) model of the spread of dengue fever for the case of South Sulawesi is considered. Rangkuti’s variational iteration method (RVIM) is recalled. This paper makes four contributions. The first one is to provide a successive approximation method (SAM) for solving the considered model. The second one is to show that SAM and RVIM are identical. Thirdly, a modification of RVIM is proposed. Fourthly, it is shown that the modification leads to an improvement of the accuracy of the method. Both RVIM and the improved version are quite accurate for short time periods. However, the improved version is more accurate and is able to provide more realistic explicit solutions to the model.
考虑了南苏拉威西岛登革热传播的易感-感染-康复(SIR)模式。回顾了rangkuti的变分迭代方法(RVIM)。本文有四个贡献。第一个是提供一种逐次逼近方法(SAM)来求解所考虑的模型。第二个是显示SAM和RVIM是相同的。第三,对RVIM进行了改进。第四,结果表明,改进后的方法提高了方法的精度。RVIM和改进版本在短时间内都相当准确。然而,改进后的版本更准确,能够为模型提供更现实的显式解决方案。
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引用次数: 5
Molecular modeling on the identification of potential Janus Kinase 3 (JAK3) inhibitor based on the Indonesian Medicinal Plant Database 基于印尼药用植物数据库的Janus Kinase 3 (JAK3)潜在抑制剂鉴定的分子模型
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.2
M. Arba, S. N. Safitri, A. N. Hidayat, Arry Yanuar, M. Zubair, A. Djalil, D. H. Tjahjono
The Janus tyrosine kinases (JAKs) have shown great promise as therapeutic protein targets in the treatment of cancer and inflammation diseases. This study used pharmacophore modeling to identify potential inhibitors of Janus kinase 3 (JAK3). A pharmacophore model was developed based on a known JAK3 inhibitor (1NX) and was employed to search for potential JAK3 inhibitors against Indonesian herbal compounds. Among 28 hit molecules that were identified and subjected to a molecular docking protocol against JAK3, the three compounds that had the highest affinities toward JAK3 were camelliaside B, 3-O-galloylepicatechin-(4beta-6)-epicatechin-3-O-gallate, and mesuaferrone B. These were then each subjected to a 50-ns molecular dynamics (MD) simulation. Analysis of RMSD and RMSF values indicated that the three compounds reached stability during the MD simulation. Interestingly, all three compounds had lower binding energies than 1NX against JAK3, as predicted by the MM-PBSA binding energy calculation.
Janus酪氨酸激酶(JAKs)作为治疗性蛋白靶点在癌症和炎症疾病的治疗中显示出巨大的前景。本研究使用药效团模型来鉴定Janus kinase 3 (JAK3)的潜在抑制剂。以已知的JAK3抑制剂(1NX)为基础建立药效团模型,用于寻找潜在的JAK3抑制剂。在鉴定的28个命中分子中,对JAK3进行了分子对接,对JAK3亲和力最高的3个化合物是茶花苷B、3- o -没食子表儿茶素-3- o -没食子酸酯和甲亚铁酮B。这些化合物分别进行了50-ns的分子动力学(MD)模拟。RMSD和RMSF值的分析表明,这三种化合物在MD模拟过程中达到了稳定。有趣的是,这三种化合物对JAK3的结合能都比1NX低,这与MM-PBSA结合能计算的结果一致。
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引用次数: 0
Serum Level of IL-6, Reactive Oxygen Species and Cortisol in Patients with Recurrent Aphthous Stomatitis related Imbalance Nutrition Intake and Atopy 复发性口疮性口炎患者血清IL-6、活性氧和皮质醇水平与营养摄入不平衡及特应性相关
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.3
Nanan Nur’aeny, D. A. Gurnida, O. Suwarsa, I. Sufiawati
One of the most common oral ulcerations is recurrent aphthous stomatitis (RAS), affecting approximately 20% of the general population worldwide. The etiology of RAS is still unclear but it is considered to be multifactorial, including imbalanced nutrition intake and allergic conditions such as atopy. The purpose of this study was to investigate the differences and correlation between the serum level of IL-6, reactive oxygen species (ROS), and cortisol in RAS patients. Our study was cross-sectional and used a consecutive sampling method. There were significant differences of IL-6 and ROS levels in all groups (p = 0.000, p = 0.049 respectively) and a significant correlation between cortisol and ROS in the RAS group without atopy (r = -0.985, p = 0.015). Serum IL-6 and ROS measurement may be used for detecting RAS caused by malnutrition or atopy but not cortisol for patients without psychological stress detected. This is consistent with the results of a very strong correlation with a negative value between cortisol and ROS in RAS without atopy.
最常见的口腔溃疡之一是复发性口疮性口炎(RAS),影响全世界约20%的总人口。RAS的病因尚不清楚,但被认为是多因素的,包括营养摄入不平衡和过敏性疾病,如特应性反应。本研究旨在探讨RAS患者血清IL-6、活性氧(reactive oxygen species, ROS)、皮质醇水平的差异及相关性。我们的研究是横断面的,采用连续抽样的方法。各组IL-6、ROS水平差异均有统计学意义(p = 0.000, p = 0.049), RAS无特应性组皮质醇与ROS水平相关性显著(r = -0.985, p = 0.015)。血清IL-6和ROS测定可用于检测营养不良或特应性引起的RAS,但对未检测到心理应激的患者不能检测皮质醇。这与没有特应性的RAS中皮质醇和ROS呈负相关的结果是一致的。
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引用次数: 2
Stratigraphic Model of East Biak Based on Magnetotelluric Data 基于大地电磁资料的东碧亚克地层模型
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-09-08 DOI: 10.5614/j.math.fund.sci.2020.52.2.7
Alviyanda Alviyanda, G. Junursyah, P. Sumintadireja
Biak Island is thought to have originated from the Australian Continental passive margin in the Mesozoic. This passive margin underwent tectonic collision to form the bedrock of Biak Island during the Paleogene. East Biak is covered by limestone, which is an obstacle to knowing the deeper stratigraphy. This study’s aim was to identify the subsurface geology of the East Biak area based on rock resistivity values. Magnetotelluric (MT) surveying is a passive geophysical method that is able to interpret subsurface geology based on rock resistivity values at depths of up to 5 to 10 km. The MT measurements in East Biak used 25 measurement points. Cross-sectional variations in rock resistivity values generated from the MT measurements were used to identify rock types in the East Biak subsurface. Five rock units were identified. The East Biak stratigraphy model is dominated by carbonates, comprising two sequences, i.e. an Early Neogene sequence with a thickness of 1,000 to 3,000 m and a Late Neogene to Quaternary sequence with a thickness of 180 to 2,450 m. The unconformity between these two sequences is due to tectonic activity, which separated Supiori and Biak Island.
Biak岛被认为起源于中生代的澳大利亚大陆被动边缘。这一被动边缘在古近纪经历了构造碰撞,形成了碧亚克岛的基岩。东Biak被石灰岩覆盖,这是了解更深层地层的障碍。本研究的目的是基于岩石电阻率值识别东Biak地区的地下地质。大地电磁(MT)测量是一种被动地球物理方法,能够根据5至10公里深处的岩石电阻率值解释地下地质。东Biak的MT测量使用了25个测量点。利用MT测量产生的岩石电阻率值的横截面变化来识别东Biak地下的岩石类型。确定了五个岩石单元。东Biak地层模式以碳酸盐岩为主,包括两个层序,即厚度为1000 ~ 3000 m的早新近系层序和厚度为180 ~ 2450 m的晚新近系—第四纪层序。这两个层序之间的不整合是由于构造活动造成的,它们将苏比奥里岛与比亚克岛分开。
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引用次数: 0
Continuous-Like Linear Operators on Bilinear Spaces 双线性空间上的类连续线性算子
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-09-08 DOI: 10.5614/j.math.fund.sci.2020.52.2.8
Sabarinsyah Sabarinsyah, H. Garminia, P. Astuti
This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to the operator being continuous. In this paper , this result is extended to the class of linear operators on bilinear spaces. It is shown that the existence of the adjoint of a linear operator on a bilinear space is guaranteed if and only if the operator is continuous-like.
作为Hilbert空间上连续线性算子的推广,本文引入双线性空间上的类连续线性算子。众所周知,希尔伯特空间上线性算子伴随的存在性等价于该算子是连续的。本文将这一结果推广到双线性空间上的一类线性算子。证明了当且仅当双线性空间上的线性算子是类连续算子时,其伴随算子的存在性得到保证。
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引用次数: 0
Spectral Analysis of Proton-Irradiated Natural MoO3 Relevant for Technetium-99m Radionuclide Production 与锝-99m核素生产有关的质子辐照天然MoO3的光谱分析
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-09-06 DOI: 10.5614/j.math.fund.sci.2020.52.2.6
I. Kambali, Rajiman Rajiman, Parwanto Parwanto, M. Marlina, K. Kardinah, Nur Huda, Ferdi D. Listiawadi, Herta Astarina, Ratu R. Ismuha, Heranudin Heranudin, H. Suryanto
Due to the declining number of available nuclear reactors capable of Tc-99m production and tight regulations related to uranium enrichment, cyclotron-based Tc-99m production has recently been suggested as a new method to help ease Tc-99m supply shortages. In this investigation, a solid natural MoO 3 target was irradiated using 11-MeV proton beams at variable proton doses. The proton doses were varied by varying the irradiation time while keeping the proton beam current constant at 20 µA. At the end of the bombardment, the post-irradiated solid MoO 3 targets were analyzed for their radioactive contents using a portable gamma-ray spectroscopy system. The analysis was also performed for the post-irradiated targets after dissolving the solid MoO 3 in a 6M NaOH solution. The experimental results indicated that as much as 75.71% of Tc-99m radioactivity was directly generated via a 100 Mo(p,2n) 99m Tc nuclear reaction, while the rest of the Tc-99m radioactivity was a result of a 98 Mo(n,γ) 99 Mo→ 99m Tc nuclear reaction. Apart from Tc-99m and Mo-99 radionuclides, some other radionuclides such as N-13, Tc-96, and Nb-96 were also recorded following temporal observation of the NaOH-dissolved MoO 3 . These experimental results open up the possibility of direct production of Tc-99m using a proton-accelerating cyclotron.
由于能够生产Tc-99m的核反应堆数量不断减少,以及与铀浓缩有关的严格规定,最近有人提出,基于回旋加速器的Tc-99m生产是一种帮助缓解Tc-99m供应短缺的新方法。在这项研究中,使用11-MeV质子束以可变质子剂量照射固体天然moo3靶。在保持质子束电流恒定在20µA的情况下,通过改变辐照时间来改变质子剂量。在轰击结束时,使用便携式伽玛射线光谱系统分析辐照后的固体MoO - 3目标的放射性含量。将固体MoO - 3溶解在6M NaOH溶液中,对辐照后的靶进行分析。实验结果表明,Tc-99m放射性的75.71%是由100 Mo(p,2n) 99m Tc核反应直接产生的,其余的Tc-99m放射性是由98 Mo(n,γ) 99mo→99m Tc核反应产生的。除了Tc-99m和Mo-99放射性核素外,还记录了其他一些放射性核素,如N-13、Tc-96和Nb-96。这些实验结果开启了使用质子加速回旋加速器直接生产Tc-99m的可能性。
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引用次数: 1
Classification and Dynamics of Class of ξ(as)-QSO ξ(as)-QSO类的分类与动力学
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-09-06 DOI: 10.5614/j.math.fund.sci.2020.52.2.2
Hamza Abd El-Qader, A. T. A. Ghani, I. Qaralleh
The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates. The current study also examines the limiting points associated with the behavior of trajectories for four classes defined on 2D simplex.
本文在二维单纯形上定义了一类新的ξ(as)-QSO,并将其划分为18个非共轭(同构)类。这种分类是基于它们的共轭性和坐标的报酬。目前的研究还检查了与在二维单纯形上定义的四类轨迹行为相关的极限点。
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引用次数: 1
Rational Design, Synthesis and Cytotoxic Activity of N-(Phenylcarbamoyl)Benzamide on HeLa Cell Lines N-苯氨基甲酰基苯甲酰胺的合理设计、合成及对HeLa细胞的细胞毒活性研究
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-09-06 DOI: 10.5614/j.math.fund.sci.2020.52.2.3
B. Purwanto, S. Siswandono, Suko Hardjono, Dian Triwidiandany
Urea derivatives are extensively used in the pharmaceutical industry. However, the unsatisfactory level of their membrane penetration requires further modification of the structures with stronger lipophillic properties. Phenylurea has a phenyl group that enables easier membrane penetration as a result of stronger pharmacological activity. Activity prediction was conducted by docking experiments and molecular dynamics, performed with Molegro Virtual Docker 5.5 using checkpoint kinase 1 (CHK1) enzyme with ID PDB: 2YWP. ADMET prediction was applied to collect data using the pkCSM tool. N -(phenyl carbamyol)benzamide compounds, modified by the Schotten Baumann method, were synthesized from benzoil chloride reacting with N -phenylurea. For evaluating anticancer activity, the MTT assay method on HeLa cells was used. Derived from the docking experiments, the compound rerank score of the N -(phenylcarbamoyl)benzamide was 72.0603 kcal/mol, lower than that of hydroxyurea, -32.1514 kcal/mol, causing better inhibitory activities against HeLA cell lines due to higher cytotoxic effects. ADMET Predictor was employed, indicating satisfactory compound distribution with a low, favorable metabolism, possessing good excretion and non-toxicity. The synthesized compound was 82% N- (phenyl carbamoyl)benzamide with 0.8 mM IC 80 , higher than that of hydroxyurea, 4.3 mM. In conclusion, successfully synthesized N- (phenylcarbamoyl)benzamide was proved to have higher cytotoxic effects. The satisfactory values of these compounds indicate that they are promising anticancer drug candidates.
尿素衍生物广泛应用于制药工业。然而,由于其渗透膜的水平不理想,需要进一步修改具有更强亲脂性的结构。苯脲有一个苯基,使膜更容易穿透,因此具有更强的药理活性。通过对接实验和分子动力学进行活性预测,使用Molegro Virtual Docker 5.5,使用ID为PDB: 2YWP的检查点激酶1 (CHK1)酶进行。采用pkCSM工具进行ADMET预测收集数据。以氯化苯甲油和N -苯脲为原料,经Schotten Baumann法修饰,合成了N -(苯基氨基甲酸)苯酰胺化合物。采用MTT法对HeLa细胞进行抗肿瘤活性评价。对接实验结果显示,N -(苯氨基甲酰)苯酰胺的化合物重秩评分为72.0603 kcal/mol,低于羟基脲的-32.1514 kcal/mol,对HeLA细胞株的抑制活性较好,具有较高的细胞毒作用。采用ADMET预测器,表明化合物分布满意,代谢低、有利,排泄良好,无毒。合成的N-(苯基氨基甲酰)苯酰胺含量为82%,ic80为0.8 mM,高于羟基脲的4.3 mM。综上所述,成功合成的N-(苯基氨基甲酰)苯酰胺具有更高的细胞毒作用。这些化合物的满意值表明它们是有希望的抗癌候选药物。
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引用次数: 1
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Journal of Mathematical and Fundamental Sciences
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