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Conditions Which Imply a Banach Algebra is Finite Dimensional 意味着巴拿赫代数是有限维的条件
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-25 DOI: 10.1007/s40995-024-01662-4
G. H. Esslamzadeh, A. sahami, F. Taleghani

It is a long standing conjecture that every contractible Banach algebra is finite dimensional. Motivated by this problem, we provide a survey of results in which certain conditions force a Banach algebra to be finite dimensional, with shorter proofs for a couple of them. These conditions are collected in three main groups: algebraic conditions, bounded cohomology contions and functional analytic ones.

一个长期存在的猜想是,每个可收缩的巴拿赫代数都是有限维的。受这一问题的启发,我们对某些条件迫使巴拿赫代数是有限维的结果进行了调查,并对其中几个进行了简短的证明。这些条件主要分为三组:代数条件、有界同调条件和函数解析条件。
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引用次数: 0
Eigenvalues of Generalized Shift Operators Over (ell ^p(tau )) Spaces $$ell ^p(tau)$$空间上广义移位算子的特征值
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-24 DOI: 10.1007/s40995-024-01631-x
Mahin Hajiabootorabi, Mohammad Reza Mardanbeigi

In this note for (pin [1,+infty )), nonzero cardinal number (tau ), and one-to-one self-map (varphi :tau rightarrow tau ) , we compute all possible eigenvalues of generalized shift operator (sigma _{varphi }upharpoonright _{ell ^p(tau )}:ell ^p(tau )rightarrow ell ^p(tau )).

在本注释中,对于 (pin [1,+infty )), 非零心数 (tau ), 和一对一自映射 (varphi :),我们计算广义移位算子 (sigma _{varphi }upharpoonright _{ell ^p(tau )}:ell ^p(tau )rightarrowell ^p(tau )) 的所有可能的特征值。
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引用次数: 0
(q-)Bézier Curves with Shifted Nodes 具有偏移节点的 $$q-$ 贝塞尔曲线
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-20 DOI: 10.1007/s40995-024-01653-5
Jaspreet Kaur, Meenu Goyal

This article explores the applications of q-calculus in polynomial basis functions and curve modeling. We define the properties of q-Bernstein Cholodowsky basis polynomials. A novel approach to Bézier curves is introduced, utilizing basis polynomials to create generalized curves with shape-preserving properties. Additionally, the article presents degree elevation and De Casteljau algorithms tailored for these curves.

本文探讨了 q 微积分在多项式基函数和曲线建模中的应用。我们定义了 q-Bernstein Cholodowsky 基多项式的性质。文章介绍了贝塞尔曲线的一种新方法,即利用基多项式创建具有形状保持特性的广义曲线。此外,文章还介绍了为这些曲线量身定制的度提升和 De Casteljau 算法。
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引用次数: 0
Synthesis, Characterization, Theoretical Studies and BSA Binding Of Co(II), Ni(II) and Cu(II) Schiff Base Complexes Co(II)、Ni(II) 和 Cu(II) 希夫碱配合物的合成、表征、理论研究和 BSA 结合
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-15 DOI: 10.1007/s40995-024-01641-9
Deepak Tomar, Madhuri Chaurasia, Yashankita Raghuvanshi, Renu Swami, Swarita Gopal, Aruna Chhikara, Sulekh Chandra

Complexes of Co(II), Ni(II), and Cu(II) complexes have been synthesized with biologically active Schiff base ligand L. The structure of ligand L and metal complexes were established by using various spectroscopic studies. On the basis of various spectroscopic studies, octahedral geometry of Co(II) complexes, tetrahedral geometry of Ni(II) complex, and square planar geometry of Cu(II) were established. Molar conductance in dimethylformaide solvent found in the range of 7.5–9.8 Ω−1 cm2 mol−1 suggesting the non-electrolyte behaviour of metal complexes. The value of nephelauxetic parameter (β) lies in the range of 0.254–0.586 which indicates the covalent character in metal ligand sigma bond. The dipole moment, chemical hardness, and chemical softness of L and its metal complexes were studied using DFT. Ligand L and metal complexes were screened against two gram’s positive bacterial species Staphylococcus aureus, Streptococcus pyogenes and two gram’s negative bacterial species Escherichia coli and Klebsiella pneumonia. Antibacterial activity results revealed that all metal complexes showed better activity than the free ligand and complex 2 showed better activity than other complexes. The Kb b values for complex 2 is 8.1545 × 105,which is greater than complex 3 and 4. It’s indicated that there is strong interaction between the BSA and complex 2. In molecular docking studies, complex 2 has returned lower docking energy than other complexes. It means theoretical studies have good coorelation with experimental results.

通过各种光谱研究确定了配体 L 和金属配合物的结构。根据各种光谱研究,确定了 Co(II) 复合物的八面体几何结构、Ni(II) 复合物的四面体几何结构和 Cu(II) 复合物的方形几何结构。在二甲基甲酰胺溶剂中的摩尔电导率为 7.5-9.8 Ω-1 cm2 mol-1,这表明金属配合物具有非电解质特性。新络合参量(β)的范围在 0.254-0.586 之间,这表明金属配体的σ键具有共价特性。利用 DFT 对配体 L 及其金属配合物的偶极矩、化学硬度和化学软度进行了研究。针对两种革兰氏阳性菌金黄色葡萄球菌和化脓性链球菌,以及两种革兰氏阴性菌大肠埃希菌和肺炎克雷伯菌,对配体 L 及其金属复合物进行了筛选。抗菌活性结果显示,所有金属复合物的活性都优于游离配体,而复合物 2 的活性优于其他复合物。络合物 2 的 Kb b 值为 8.1545 × 105,大于络合物 3 和 4。这表明 BSA 与复合物 2 之间存在很强的相互作用。在分子对接研究中,复合物 2 的对接能低于其他复合物。这说明理论研究与实验结果具有良好的相关性。
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引用次数: 0
Dynamical Analysis of Fractional-Order Bazykin’s Model with Prey Refuge, Gestation Delay and Density-Dependent Mortality Rate 具有猎物避难所、妊娠延迟和密度相关死亡率的分数阶巴兹金模型的动力学分析
IF 1.7 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-15 DOI: 10.1007/s40995-024-01658-0
G. Ranjith Kumar, K. Ramesh

The motivation of the present study is to investigate the impact of memory in the framework of ecology employing a Caputo-type fractional-order derivative by means of a fractional-order ecological model that incorporates delay and prey refuge treatment effects. The model’s solutions are shown to exist, to be unique, and to be bounded. The behaviour of various equilibrium points with the memory effect is then examined, and certain necessary requirements are deduced to guarantee the global asymptotic stability of co-existing equilibrium points. Additionally, we looked into the possibility of Hopf bifurcation in relation to the delay parameter, which serves as the suggested system’s bifurcation parameter. This paper’s main contribution is the explanation of the fractional order model’s derivation in terms of the memory impact on population growth, and the application of the Caputo derivative with equal dimensionality to models that include memory. This fractional-order system with unknown dynamics is subject to control chaos, which is addressed by using Bazykin’s prey-predator model. The suggested model is new in that it highlights the importance of the memory effect, which encompasses prey refuge, latency, and predator death rate based on density. We run numerical simulations with various memory parameter, latency, and prey refuge values. Based on the numerical data, it seems that the system is behaving more like a chaotic system with an increasing memory effect, or stable behaviour from a time of chaos.

本研究的动机是通过一个包含延迟和猎物避难所处理效应的分数阶生态模型,采用卡普托类型的分数阶导数,在生态学框架内研究记忆的影响。模型的解被证明是存在的、唯一的和有界的。然后研究了具有记忆效应的各种平衡点的行为,并推导出某些必要条件,以保证共存平衡点的全局渐近稳定性。此外,我们还研究了与延迟参数有关的霍普夫分岔的可能性,延迟参数是建议系统的分岔参数。本文的主要贡献在于从记忆对人口增长的影响角度解释了分数阶模型的推导,并将等维卡普托导数应用于包含记忆的模型。这个具有未知动态的分数阶系统会受到控制混乱的影响,我们利用巴兹金的猎物-捕食者模型来解决这个问题。所建议的模型的新颖之处在于它突出了记忆效应的重要性,其中包括基于密度的猎物避难所、潜伏期和捕食者死亡率。我们使用不同的记忆参数、潜伏期和猎物避难所值进行了数值模拟。根据数值数据,该系统的行为似乎更像是一个记忆效应不断增强的混沌系统,或者说是从混沌时期开始的稳定行为。
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引用次数: 0
Nanoclay Montmorillonite-Cross-linked Starch as an Efficient Tool for the Controlled Release of Doxorubicin to Cancerous Cells 纳米粘土蒙脱石-交联淀粉作为向癌细胞控释多柔比星的有效工具
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-12 DOI: 10.1007/s40995-024-01622-y
Masoumeh Mosharafian, Mohammad Sadeghi, Ahmad Reza Massah

Design and synthesis of novel carriers with properties for controlled release of drugs is an aim for reducing the side effects of the medicines. In this paper, a novel hydrogel is fabricated based on nanoclay montmorillonite-crosslinked starch for the controlled delivery of doxorubicin (DOX) to cancerous cells. The hydrogel is fabricated by the functionalization of starch with methyl methacrylate monomers, followed by cross-linking with methylene bisacrylamide by using nanoclay montmorillonite additive. The composite is characterized by several characterization techniques, including nuclear magnetic resonance and Fourier-transform infrared spectroscopy, transmission electron microscopy, scanning electron microscopy, and thermogravimetric analysis. After the characterization of nanoclay montmorillonite-crosslinked starch nanocomposite, the fabricated hydrogel was evaluated in the delivery of DOX to the cancerous cells. After loading DOX into the hydrogel, the release profile of the drug was obtained in PBS buffer (pH = 7.4). Hemolysis studies proved the compatibility of the hydrogel in red blood cells. Cytotoxicity of DOX-loaded hydrogel was studied against T47D and LNCap cell lines. Cytotoxicity studies showed the activity and applicability of nanoclay montmorillonite-crosslinked starch composite for delivery purposes.

设计和合成具有药物控释特性的新型载体是减少药物副作用的一个目标。本文基于纳米蒙脱土交联淀粉制备了一种新型水凝胶,用于向癌细胞控释多柔比星(DOX)。这种水凝胶是通过甲基丙烯酸甲酯单体对淀粉进行官能化,然后使用纳米蒙脱石添加剂与亚甲基双丙烯酰胺交联制成的。该复合材料采用了多种表征技术,包括核磁共振和傅立叶变换红外光谱、透射电子显微镜、扫描电子显微镜和热重分析。在对纳米蒙脱土-交联淀粉纳米复合材料进行表征后,对所制备的水凝胶向癌细胞输送 DOX 的情况进行了评估。将 DOX 加入水凝胶后,在 PBS 缓冲液(pH=7.4)中获得了药物释放曲线。溶血研究证明了水凝胶在红细胞中的相容性。针对 T47D 和 LNCap 细胞系研究了负载 DOX 的水凝胶的细胞毒性。细胞毒性研究表明了纳米蒙脱土-交联淀粉复合材料在递送方面的活性和适用性。
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引用次数: 0
Production Cross-section and Reaction Yield of $$^{76}$$ Br for $$^{Nat}$$ Se(p,xn) $$^{76}$$ Br Reaction Channels $$^{Nat}$ Se(p,xn) $$^{76}$ Br 反应通道中 $$^{76}$ Br 的生成截面和反应产率
IF 1.7 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-12 DOI: 10.1007/s40995-024-01661-5
Şevki Şentürk, Tuncay Bayram, Anes Hayder

Radioisotopes are now widely used in many different fields due to technological advancements. One of these fields is nuclear medicine. Many radioisotopes are used for diagnosis and treatment in nuclear medicine. The suitable physical properties of (^{76})Br isotopes for imaging in positron emission tomography (PET) have led researchers to study their potential production from different reaction channels. This study aimed to determine the parameters that can serve as a basis for experimental studies: production cross-sections, reaction yields, and total activity. In this context, we investigated some possible proton-induced production mechanisms of (^{76})Br using level density models. For this purpose, the Constant Temperature Fermi Gas Model (CTFGM), Back Shifted Fermi Gas Model (BSFGM), and Generalised Superfluid Model (GSM) models within the framework of TALYS 1.95 nuclear reaction code have been used for (^{Nat})Se(p,xn)(^{76})Br reaction channels. The calculated production cross-section values up to 60 MeV beam energy are found to agree with the available data in the literature. Furthermore, the reaction yields as a function of beam energy and total activation values as a function of irradiation time have been carried out.

随着技术的进步,放射性同位素现已广泛应用于许多不同的领域。核医学就是其中之一。在核医学中,许多放射性同位素被用于诊断和治疗。正电子发射断层扫描(PET)中用于成像的 (^{76})Br 同位素的合适物理性质促使研究人员研究其从不同反应通道生产的可能性。本研究旨在确定可作为实验研究基础的参数:生产截面、反应产率和总活性。在此背景下,我们使用水平密度模型研究了质子诱导的 (^{76})Br 的一些可能的生成机制。为此,我们在TALYS 1.95核反应代码的框架内使用了恒温费米气体模型(CTFGM)、背移费米气体模型(BSFGM)和广义超流体模型(GSM)来处理(^{Nat})Se(p,xn)(^{76})Br反应通道。结果发现,计算得出的高达 60 MeV 束能的生成截面值与文献中的现有数据一致。此外,还进行了反应产率与束流能量的函数关系和总活化值与辐照时间的函数关系的研究。
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引用次数: 0
Scleractinian Corals from the Early and Late Aptian of Baghin Area (Southwest of Kerman, Iran): Introduction and Paleoenvironmental Analysis 巴格欣地区(伊朗克尔曼西南部)早、晚古生代硬骨珊瑚:介绍与古环境分析
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-12 DOI: 10.1007/s40995-024-01655-3
Toran Khamoshi, Amad Lotfabad Arab, Mohammadreza Vaziri

From the Early and Late Aptian sediments of the Baghin area, southwest of Kerman, Iran, a fairly low diverse scleractinian coral assemblage is described on the basis of paleoenvironmental factors for the first time. The fauna, collected from 6 stratigraphic horizons, encompasses 21 species from 15 genera, belonging to the families Actinastraeidae, Caryophylliidae, Columastraeidae, Eugyridae, Lasmogyridae, Latomeandridae, Rayasmiliidae, Solenocoeniidae and Stylinidae. The fauna is dominated by low corallite integration forms (plocoid and cerioid arrangements), while highly integrated corals (hydnophoroid, thamnasteroid, meandroid types) and solitary forms are subordinated. In the Baghin section, the δ13C values present a prominent negative excursion followed by a major positive excursion, which is considered geochemically characteristic of Oceanic Anoxic Event 1a (OAE1a). Additionally, the δ18O values suggest a pronounced warming of oceanic waters throughout the studied interval. Although the corals generally had favorable ecological conditions for development, no coral fabric was observed that would suggest biohermal development. The Aptian scleractinian assemblage of the Baghin area exhibits an example of a non-reef-building coral population, that thrived on marly substrate, along the southern rim of the eastern Tethys.

根据古环境因素,首次描述了伊朗克尔曼西南部巴格欣地区早、晚古生代沉积物中种类较少的硬骨鱼类珊瑚群。该动物群采集自 6 个地层,包括 15 个属的 21 个物种,隶属于 Actinastraeidae、Caryophylliidae、Columastraeidae、Eugyridae、Lasmogyridae、Latomeandridae、Rayasmiliidae、Solenocoeniidae 和 Stylinidae 科。该动物群以低整合度珊瑚(plocoid 和 cerioid 排列)为主,而高整合度珊瑚(hydnophoroid、thamnasteroid、meandroid 类型)和单生珊瑚则处于从属地位。在 Baghin 断面,δ13C 值出现了一个显著的负偏移,随后又出现了一个较大的正偏移,这被认为是大洋缺氧事件 1a (OAE1a)的地球化学特征。此外,δ18O 值表明,在整个研究区间,海水明显变暖。虽然珊瑚一般都有良好的生态发育条件,但没有观察到表明生物热发育的珊瑚结构。Baghin 地区的始新世硬骨鱼类群是一个非筑礁珊瑚群的例子,它们在特提斯大陆东部南缘的泥灰底质上繁衍生息。
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引用次数: 0
Numerical Solution of Second-Order Linear Multidimensional Hyperbolic Telegraph Equation Using High-Order Compact Finite Difference Methods 利用高阶紧凑有限差分法数值求解二阶线性多维双曲电报方程
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-10 DOI: 10.1007/s40995-024-01659-z
Azam Sadat Hashemi, Mohammad Heydari, Ghasem Barid Loghmani

The purpose of this study is to present a numerical method for solving the second-order linear multidimensional hyperbolic telegraph equation with boundary conditions in space and initial conditions in time. The main discretization theory is based on the implementation of the 4th, 6th, and 8th-order compact finite difference method in matrix form for spatial derivatives. The obtained system of linear ordinary differential equations in time is solved using the seventh-eighth-order continuous Runge–Kutta method. To analyze the convergence of the proposed method, the stability of the numerical method and simultaneously, the stability of the system obtained from the compact finite difference scheme are investigated. Moreover, the efficiency and accuracy of the present approach are illustrated by providing numerical examples and comparing the obtained results with some other techniques based on domain discretization.

本研究旨在提出一种数值方法,用于求解空间有边界条件、时间有初始条件的二阶线性多维双曲电报方程。主要离散化理论基于空间导数矩阵形式的四阶、六阶和八阶紧凑有限差分法的实现。得到的时间线性常微分方程系统采用七阶-八阶连续 Runge-Kutta 法求解。为了分析拟议方法的收敛性,研究了数值方法的稳定性,同时研究了由紧凑有限差分方案得到的系统的稳定性。此外,通过提供数值示例,并将所获得的结果与其他一些基于域离散化的技术进行比较,说明了本方法的效率和准确性。
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引用次数: 0
Identification of Novel Functional Single Nucleotide Polymorphisms in the BRCA1 Gene of Breast Cancer Patients 鉴定乳腺癌患者 BRCA1 基因中的新型功能性单核苷酸多态性
IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-10 DOI: 10.1007/s40995-024-01660-6
Mohsen Miresmaeili, Mohsen Nabi-Afjadi, Ahmadreza Lagzian, Zeinab Fathi, Mohammad Yazdanpour, Hamidreza Zalpoor, Mohammad Yaghoubzad-Maleki, Amir Mansour Moeini, Ibrahim Arman

Breast cancer is the most common cancer in women, making for one-third of all malignancies in females. Between 40 and 45 percent of instances of hereditary breast cancer are caused by mutations in the breast and ovarian cancer susceptibility gene 1 (BRCA1). Breast cancer risk is raised by mutations in its Really Interesting New Gene (RING) and BRCA1 C-Terminal (BRCT) domains. Thus, the goal of this study was to identify new mutations in the BRCA1 gene's RING and BRCT domains. To examine BRCA1 mutation spectra, 107 patients were chosen who had a documented family history of ovarian or breast cancer. Direct DNA sequencing and single-stranded conformational polymorphism (PCR-SSCP), both based on the polymerase chain reaction, were used to screen for mutations in the RING and BRCT domains of the BRCA1 gene. In-silico analysis was used for the in-vitro research outcome. The study's findings indicated that the population carries several BRCA1 sequence variations, including C.55C > A, C.36A > T, C.60A > T, C.199G > C, C.164A > T, C.251A > G, C.4996T > G, C.5032A > T, C.5041A > G, and C.5291T > A. The Breast Cancer Information Core (BIC) searched and examined the mutations. Every mutation was a new mutation. Additionally, a bioinformatics investigation revealed that several variations had an impact on the pathogenicity and stability of the protein. After calculating the relative risk (RR) of research linked to danger, it was found that there was a strong correlation (RR = 1) between the newly discovered genetic mutations and an elevated risk of breast cancer. Our research emphasizes the value of mutation screening in cases of familial ovarian or breast cancer, as well as the possible ramifications of these results for genetic counseling and cancer prevention.

乳腺癌是女性最常见的癌症,占女性所有恶性肿瘤的三分之一。40%到 45% 的遗传性乳腺癌是由乳腺癌和卵巢癌易感基因 1(BRCA1)的突变引起的。乳腺癌风险因其 "真正有趣的新基因"(RING)和 BRCA1 C 端(BRCT)结构域的突变而升高。因此,本研究的目标是确定 BRCA1 基因 RING 和 BRCT 结构域中的新突变。为了研究 BRCA1 基因突变谱,研究人员选择了 107 名有卵巢癌或乳腺癌家族史的患者。采用基于聚合酶链反应的直接DNA测序和单链构象多态性(PCR-SSCP)筛选BRCA1基因RING和BRCT结构域的突变。体外研究成果采用了模拟分析法。研究结果表明,人群携带多种 BRCA1 序列变异,包括 C.55C > A、C.36A > T、C.60A > T、C.199G > C、C.164A > T、C.251A > G、C.4996T > G、C.5032A > T、C.5041A > G 和 C.5291T > A。乳腺癌信息中心(BIC)搜索并检查了这些突变。每个突变都是新的突变。此外,生物信息学调查显示,一些变异对蛋白质的致病性和稳定性有影响。在计算了与危险相关的研究相对风险(RR)后,发现新发现的基因突变与乳腺癌风险升高之间存在很强的相关性(RR = 1)。我们的研究强调了突变筛查在家族性卵巢癌或乳腺癌病例中的价值,以及这些结果对遗传咨询和癌症预防可能产生的影响。
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引用次数: 0
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Iranian Journal of Science and Technology, Transactions A: Science
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