Fourier Analysis

傅里叶分析
  • 文章类型: Journal Article
    癫痫的及时诊断依赖于自动脑电图(EEG)信号的准确分类。已经开发了几种方法来表征癫痫EEG数据;然而,他们都没有利用时频数据来评估在预训练的EEG数据分类框架中调整参数的效果。这项研究比较了几种预训练的卷积神经网络(CNN)的性能,即AlexNet,GoogLeNet,MobileNetV2,ResNet-18和SqueezeNet使用各种时频数据表示算法对癫痫脑电图数据进行定位。连续小波变换(CWT),经验傅里叶分解(EFD),经验模态分解(EMD),经验小波变换(EWT),和变分模式分解(VMD)被用于从一维数据中获取二维谱图。该研究评估了多个因素的影响,包括嘈杂和去噪的图像,不同的优化器,学习率,单通道与双通道,型号尺寸,和计算时间消耗。基准伯尔尼巴塞罗那脑电图数据集用于测试目的。获得的结果表明,MobileNetV2,连续小波变换(CWT)和Adam优化器的组合在10^-4的学习率下,加上双数据通道,提供最佳性能指标。具体来说,这些参数导致最佳灵敏度,特异性,f1-score,和分类精度,各自的值为96.06%,96.15%,96.08%,和96.10%。为了进一步证实选择的预训练模型对利用的信号分解(SD)算法的有效性,分类器也在TempleUniversity数据库的pinnacle建模组成中进行了模拟。结果中的类似模式很容易验证我们的研究结果和深度学习模型对癫痫脑电图的鲁棒性。得出的结论强调了预训练的基于CNN的模型的潜力,诊断癫痫样的自动化系统。此外,该研究提供了不同时频技术和分类器参数对癫痫脑电图数据分类的有效性的见解。
    Prompt diagnosis of epilepsy relies on accurate classification of automated electroencephalogram (EEG) signals. Several approaches have been developed to characterize epileptic EEG data; however, none of them have exploited time-frequency data to evaluate the effect of tweaking parameters in pretrained frameworks for EEG data classification. This study compares the performance of several pretrained convolutional neural networks (CNNs) namely, AlexNet, GoogLeNet, MobileNetV2, ResNet-18 and SqueezeNet for the localization of epilepsy EEG data using various time-frequency data representation algorithms. Continuous wavelet transform (CWT), empirical Fourier decomposition (EFD), empirical mode decomposition (EMD), empirical wavelet transform (EWT), and variational mode decomposition (VMD) were exploited for the acquisition of 2D scalograms from 1D data. The research evaluates the effect of multiple factors, including noisy versus denoised scalograms, different optimizers, learning rates, single versus dual channels, model size, and computational time consumption. The benchmark Bern-Barcelona EEG dataset is used for testing purpose. Results obtained show that the combination of MobileNetV2, Continuous Wavelet Transform (CWT) and Adam optimizer at a learning rate of 10-4, coupled with dual-data channels, provides the best performance metrics. Specifically, these parameters result in optimal sensitivity, specificity, f1-score, and classification accuracy, with respective values of 96.06%, 96.15%, 96.08%, and 96.10%. To further corroborate the efficacy of opted pretrained models on exploited Signal Decomposition (SD) algorithms, the classifiers are also being simulated on Temple University database at pinnacle modeling composition. A similar pattern in the outcome readily validate the findings of our study and robustness of deep learning models on epilepsy EEG scalograms.The conclusions drawn emphasize the potential of pretrained CNN-based models to create a robust, automated system for diagnosing epileptiform. Furthermore, the study offers insights into the effectiveness of varying time-frequency techniques and classifier parameters for classifying epileptic EEG data.
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  • 文章类型: Journal Article
    要比较球形分量的变化,有规律的散光,小切口微透镜摘除(SMILE)和跨上皮屈光性角膜切除术(TransPRK)后角膜前表面的不规则散光。56名患者接受了56只眼睛的微笑,68例患者在68只眼中接受了TransPRK。选择右眼进入该组。手术后六个月,获得了Scheimpflug图像,使用Pentacam内置软件对患者角膜前表面进行傅立叶分析。傅里叶参数包括各种测量,如曲率的最陡半径和球面分量的平均偏心率(SphRmin和SphEcc),最大偏心(MaxDec),中央和周边规则散光(中心[AstC]的规则散光和周边[AstP]的规则散光),和不规则性(Irr)。术后6个月,SphEcc显著降低(P<.001),MaxDec显著增加(P<.001),在SMILE组中,Irr增加不明显(P=0.254)。TransPRK组SphEcc显著降低(P<.001),MaxDec和Irr显著升高(P<.001)。TransPRK引起SphEcc更大的变化,MaxDec,角膜前表面的Irr高于SMILE(P<0.05)。MaxDec引起的SMILE和TransPRK变化量与高阶像差和球差变化量显著相关(P<0.05)。SMILE和TransPRK增加了角膜前表面的整体不规则散光,对于TransPRK更是如此,其中,分散度的变化与高阶像差的增加有关。
    To compare changes in the spherical component, regular astigmatism, and irregular astigmatism of the anterior surface of the cornea after small-incision lenticule extraction (SMILE) and transepithelial photorefractive keratectomy (TransPRK). Fifty-six patients underwent SMILE in 56 eyes, and 68 patients underwet TransPRK in 68 eyes. The right eye was chosen to enter the group. Six months after the procedure, Scheimpflug images were acquired, and Fourier analysis of the anterior surface of patients\' corneas was performed using the Pentacam built-in software. Fourier parameters encompass various measurements such as the steepest radius of the curvature and average eccentricity of the spherical components (SphRmin and SphEcc), maximum decentration (MaxDec), central and peripheral regular astigmatism (regular astigmatism at the center [AstC] and regular astigmatism at the periphery [AstP]), and irregularity (Irr). At 6 months postoperatively, SphEcc decreased significantly (P < .001), MaxDec increased significantly (P < .001), and Irr increased insignificantly (P = .254) in the SMILE group. SphEcc decreased significantly (P < .001) and MaxDec and Irr increased significantly (P < .001) in the TransPRK group. TransPRK caused greater changes in SphEcc, MaxDec, and Irr on the anterior corneal surface than SMILE (P < .05). The amount of MaxDec-induced changes in SMILE and TransPRK was significantly correlated with the amount of higher-order aberrations and spherical aberration changes (P < .05). SMILE and TransPRK increase overall irregular astigmatism on the anterior surface of the cornea, more so with TransPRK, where changes in decentration are associated with with increased higher-order aberrations.
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  • 文章类型: Journal Article
    As2O3显示出显著的抗胃癌作用,但机制尚不清楚。因此,以人胃癌AGS细胞为模型,研究了As2O3诱导的生物大分子变化。流式细胞术成果证实As2O3引诱AGS细胞凋亡。傅里叶变换红外(FTIR)显微光谱灵敏地检测了As2O3诱导的AGS细胞凋亡过程中的生物大分子变化:红外光谱显示脂质含量,蛋白质和DNA结构发生了显着变化。峰面积比表明脂质和DNA含量以及蛋白质结构的明显变化,A1733/A969与细胞凋亡率呈较好的线性关系。PCA显示核酸的显着变化,而曲线拟合进一步揭示了核酸和蛋白质的变化。总的来说,本研究在分析生物大分子变化的基础上,深入探讨了As2O3诱导胃癌细胞凋亡,此外,它还表明FTIR显微光谱可能在细胞凋亡的研究中有用。
    As2O3 has shown significant anti-gastric cancer effects, but the mechanism is still unclear. Thus, biomacromolecular changes induced by As2O3 were investigated by using human gastric cancer AGS cells as the model. Flow cytometry results confirmed that As2O3 induced AGS cells apoptosis. Fourier transform infrared (FTIR) microspectroscopy detected biomacromolecular changes during As2O3-induced AGS cells apoptosis sensitively: IR spectra showed significant changes in the lipids content and the proteins and DNA structure. Peak-area ratios indicated obvious changes in the lipids and DNA content and the proteins structure, while also showing a relatively good linear relationship between A1733/A969 and the apoptosis rate. PCA exhibited significant alteration in nucleic acids while curve fitting further revealed the changes in nucleic acids and proteins. On the whole, our study explored As2O3-induced gastric cancer cells apoptosis in depth on the basis of analyzing biomacromolecular changes, in addition, it also suggested FTIR microspectroscopy to be possibly useful in the research of apoptosis.
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  • 文章类型: Journal Article
    这项研究的目的是通过各种频率的低强度超声检查来无损地表征新鲜牛腰的样品,并将这些检查的声学参数与质量参数相关联。在这方面,考虑了超声参数,例如超声脉冲速度(UPV)以及与从快速傅里叶变换(FFT)获得的衰减和频率分量有关的变量。为此,使用频率为0.5和1.0MHz的脉冲超声信号换能器。声学参数和通过传统仪器分析(物理化学和纹理)获得的参数进行了Pearson相关性分析。声学测定揭示了与其余研究参数的许多显着的相关性。结果表明,超声检测具有非破坏性的表征样品的能力,同样,这种方法可以被认为是确定牛腰样品质量参数的有前途的预测工具。
    The objective of this study was to non-destructively characterize samples of fresh beef loin by low-intensity ultrasound inspection at various frequencies and to correlate the acoustic parameters of these inspections with quality parameters. In this regard, ultrasonic parameters such as ultrasound pulse velocity (UPV) and variables related to attenuation and frequency components obtained from fast Fourier transform (FFT) were considered. For this, pulsed ultrasonic signal transducers with a frequency of 0.5 and 1.0 MHz were used. Acoustic parameters and those obtained through traditional instrumental analyses (physicochemical and texture) underwent a Pearson correlation analysis. The acoustic determinations revealed numerous significant correlations with the rest of the studied parameters. The results demonstrate that ultrasonic inspection has the ability to characterize samples with a non-destructive nature, and likewise, this methodology can be postulated as a promising predictive tool for determining quality parameters in beef loin samples.
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  • 文章类型: Journal Article
    三种不同类别食品的非线性流变行为(乳液,悬架,和弹性网络)使用罗杰斯物理过程序列(SPP)方法和将傅立叶变换与切比雪夫分解(FTC)耦合的Ewoldt-McKinley方法进行了研究和分析。SPP分析导致任何时间点的瞬时流变参数G\'t和G”t,通过3D振幅扫描提供线性粘弹性区域和交叉点的更准确图片。当G\'t与G″t作图时,得到的图是一个三角肌,它提供了每一类食物的详细和独特的周期内行为。随着应变的增加,分析三角肌的旋转可以确定临界应变,在此之外,发生不可逆的网络故障。在SPP中发现的线性粘弹性极限和临界应变之间的应变范围与用FTC测定的MAOS区域相当。在振幅增大的情况下,主要是弹性网络表现出逐渐的结构重排,而在我们研究的悬浮液和乳液中观察到更多的不稳定和突然的变化。在频率增加的情况下,由于实验时间较短,弹性响应在所有样品中占主导地位的粘性响应,允许更少的放松。
    The nonlinear rheological behaviors of three different classes of foods (emulsion, suspension, and elastic network) were studied and analyzed using the Rogers Sequence of Physical Processes (SPP) method and the Ewoldt-McKinley method of coupling Fourier Transform with Chebyshev Decomposition (FTC). SPP analysis led to instantaneous rheological parameters G\'t and G″t at any point in time, providing a more accurate picture of the linear viscoelastic region and crossover points by the 3D amplitude sweep. When G\'t is plotted against G″t, the resulting graph is a deltoid which offers a detailed and distinctive intracycle behavior of each class of food. Analyzing the revolution of deltoids with increasing strain allows for the determination of a critical strain, beyond which irreversible network breakdown occurs. The strain range between the linear viscoelastic limit and the critical strain found in SPP is comparable to the MAOS region as determined with FTC. Under increasing amplitude, predominantly elastic networks showed a gradual structural rearrangement, while more erratic and abrupt changes were observed in the suspension and emulsion we studied. Under increasing frequency, elastic responses dominate viscous responses in all samples due to the shorter experimental time, allowing less relaxation.
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  • 文章类型: Journal Article
    本文报告了振动表面磨削在低激励频率范围内的实验研究结果,以及在工作台平面内激励振动的可变方向,并研究了这些方向对地面粗糙度和波纹度的影响。测试在具有振动台的生产表面研磨机上进行,样品安装在振动台上。该工作台可以改变将振动引入工件的方向(纵向,横向,并且倾斜于工作台的纵向进给)和引入的振动的参数,频率和振幅。在研究过程中,比较了常规研磨样品的表面粗糙度和波纹度以及工件上引入的振动的选定参数。结果表明,与没有振动的地面(常规)相比,振动地面的粗糙度和波度参数有所改善。对地面的轮廓进行傅立叶分析,并确定地面样品表面形状的谐波分量,以表征引入的振动对表面粗糙度的影响。确定了振动引入的方向,这在地面几何结构的参数方面是最有利的,是垂直于研磨台纵向进给的方向。在振动引入的其他方向上,没有获得改善地面轮廓几何结构的两个参数的同时效果。
    The article reports the results of experimental study of vibratory surface grinding in the range of low excitation frequencies and variable directions of excited vibrations in the plane of the table, and investigates the effect of these directions on the roughness and waviness of the ground surface. The tests were conducted on a production surface grinder with a vibrating table on which the samples were mounted. The table made it possible to change the direction for the introduction of vibrations to the workpiece (longitudinally, transversely, and obliquely to the longitudinal feed of the table) and the parameters of the introduced vibrations, frequency and amplitude. In the course of the study, selected parameters of surface roughness and waviness of samples ground conventionally and with vibrations introduced on the workpiece were compared. The results show an improvement in the roughness and waviness parameters of the vibration-ground surfaces compared to surfaces ground without vibration (conventionally). The profile of the ground surface was subjected to Fourier analysis and the harmonic components of the surface shape of the ground samples were determined to characterize the effect of the introduced vibrations on the surface roughness. It was determined that the direction of vibration introduction, which is most favorable in terms of the parameters of the geometric structure of the ground surface, is the direction perpendicular to the longitudinal feed of the grinding table. In other directions of vibration introduction, the simultaneous effect of improving both parameters of the geometric structure of the ground surface profile was not obtained.
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  • 文章类型: Journal Article
    癌症患者的管理随着个性化医学的出现而显著改善,其中基于肿瘤抗原表达等进行治疗。在这个职权范围内,液体活检无疑将改善这种个性化的癌症管理。确定血液中的循环肿瘤细胞可以更好地评估肿瘤筛查,分期,对治疗和随访的反应。然而,使用癌细胞抗原表达或其物理特性来鉴定/捕获这些循环肿瘤细胞的方法不够强大。因此,无论肿瘤类型如何,都需要一种能够识别血液中这些循环肿瘤细胞的方法。傅里叶变换红外(FTIR)显微光谱,可以根据细胞的生化成分来分离细胞,可能是这样的技术。在这个可行性研究中,我们研究了与外周血单个核细胞(PBMC)混合的肺癌细胞(鳞状细胞癌和腺癌)。获得的数据显示,第一次,FTIR显微光谱与随机森林分类器一起能够识别血液中的单个肺癌细胞。当使用包含脂质和酰胺A的IR光谱区域(2700至3500cm-1)时,这种分离更容易。此外,这项工作是使用玻璃盖玻片作为广泛用于病理学部门的基质进行的。这允许进一步的组织病理学细胞分析(染色,免疫组织化学,...)获得FTIR光谱后。因此,尽管需要使用癌症患者的血液样本进行进一步的工作,FTIR显微光谱可能成为另一种用于液体活检的工具,用于鉴定循环肿瘤细胞。以及癌症的个性化管理。
    The management of cancer patients has markedly improved with the advent of personalised medicine where treatments are given based on tumour antigen expression amongst other. Within this remit, liquid biopsies will no doubt improve this personalised cancer management. Identifying circulating tumour cells in blood allows a better assessment for tumour screening, staging, response to treatment and follow up. However, methods to identify/capture these circulating tumour cells using cancer cells\' antigen expression or their physical properties are not robust enough. Thus, a methodology that can identify these circulating tumour cells in blood regardless of the type of tumour is highly needed. Fourier Transform Infrared (FTIR) microspectroscopy, which can separate cells based on their biochemical composition, could be such technique. In this feasibility study, we studied lung cancer cells (squamous cell carcinoma and adenocarcinoma) mixed with peripheral blood mononuclear cells (PBMC). The data obtained shows, for the first time, that FTIR microspectroscopy together with Random Forest classifier is able to identify a single lung cancer cell in blood. This separation was easier when the region of the IR spectra containing lipids and the amide A (2700 to 3500 cm-1) was used. Furthermore, this work was carried out using glass coverslips as substrates that are widely used in pathology departments. This allows further histopathological cell analysis (staining, immunohistochemistry, …) after FTIR spectra are obtained. Hence, although further work is needed using blood samples from patients with cancer, FTIR microspectroscopy could become another tool to be used in liquid biopsies for the identification of circulating tumour cells, and in the personalised management of cancer.
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  • 文章类型: Journal Article
    肝硬化的动物模型对研究导致肝硬化最后阶段的病理过程非常感兴趣。本研究的目的是在肝硬化的两个小鼠模型中使用傅立叶变换红外(FTIR)光谱组织学分析肝硬化的进行性发展所涉及的不同步骤,STAM™代谢性肝硬化模型和CCl4诱导的肝硬化模型。在每个模型中的5个时间点从三只小鼠获得福尔马林固定的石蜡包埋的肝脏样品,以分析肝脏病变直至肝硬化形成的过程。对于每个时间点,获得相邻3μm厚的肝脏切片,用于组织学染色和光谱组织学。在25μmX25μm和6.25μmX6.25μm的投影像素尺寸下进行肝脏切片的FTIR采集。然后用扩展的乘法信号校正对光谱图像进行预处理,并用普通的k均值聚类分析,包括每个模型中的所有阶段。在这两种模型中,在1000-1350cm-1范围内的2类和4类常见k-means聚类表明,以糖原吸收峰较高为特征的光谱类别在基线时占优势,然后在肝损伤早期阶段显著降低,在肝硬化组织中几乎消失.同时,在肝脏病变过程中,以核酸的较高吸收峰为特征的光谱类别逐渐占主导地位。使用针对糖原和核酸含量鉴定的感兴趣的峰上的k均值聚类来证实这些结果。我们的研究表明,先前在肝硬化阶段描述的糖原耗竭是病理过程中的早期事件,独立于肝硬化的原因。此外,核酸含量逐渐增加,这可能与响应细胞损伤的增殖和多倍体增加有关。
    Animal models of cirrhosis are of great interest to investigate the pathological process leading to the final stage of cirrhosis. The aim of this study was to analyze the different steps involved in the progressive development of cirrhosis using Fourier transform infrared spectral histology in 2 mouse models of cirrhosis, the STAM model of metabolic cirrhosis, and the carbon tetrachloride-induced cirrhosis model. Formalin-fixed, paraffin-embedded liver samples were obtained from 3 mice at 5 time points in each model to analyze the course of hepatic lesions up to the formation of cirrhosis. For each time point, adjacent 3-μm-thick liver sections were obtained for histologic stains and spectral histology. Fourier transform infrared acquisitions of liver sections were performed at projected pixel sizes of 25 μm × 25 μm and 6.25 μm × 6.25 μm. Spectral images were then preprocessed with an extended multiplicative signal correction and analyzed with common k-means clustering, including all stages in each model. In both models, the 2- and 4-class common k-means clustering in the 1000 to 1350 cm-1 range showed that spectral classes characterized by higher absorbance peaks of glycogen were predominant at baseline, then decreased markedly in early stages of hepatic damage, and almost disappeared in cirrhotic tissues. Concomitantly, spectral classes characterized by higher absorbance peaks of nucleic acids became progressively predominant during the course of hepatic lesions. These results were confirmed using k-means clustering on the peaks of interest identified for glycogen and nucleic acid content. Our study showed that the glycogen depletion previously described at the stage of cirrhosis is an early event in the pathological process, independently of the cause of cirrhosis. In addition, there was a progressive increase in the nucleic acid content, which may be linked to increased proliferation and polyploidy in response to cellular lesions.
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  • 文章类型: Journal Article
    本文旨在通过研究已知的复合物来了解纳米抗体-蛋白质对的结合策略。刚体蛋白-配体对接程序产生几种复合物,叫做诱饵,哪些是形状互补性得分高的优秀候选人,静电相互作用,去溶剂化,埋藏表面积,和伦纳德-琼斯的潜力。然而,对应于原生结构的诱饵是未知的。我们从单域抗体数据库中研究了36个纳米抗体-蛋白质复合物,sd-AbDB,http://www。sdab-db.ca/.对于每个结构,使用ZDOCK软件的快速傅里叶变换算法生成大量诱饵。根据目标蛋白质-纳米抗体相互作用能对诱饵进行排名,通过使用Dreiding力场计算,秩1具有最低的相互作用能。在36个蛋白质数据库(PDB)结构中,25个真实结构被预测为等级1。其余结构中的11个需要纳米抗体相对于蛋白质的Nangstrom大小的刚体平移以匹配给定的PDB结构。翻译后,所有复合物的Dreiding相互作用(DI)能量均降低并变为1级。在一个案例中,需要刚体旋转以及纳米体的平移来匹配晶体结构。我们使用了蒙特卡罗算法,该算法随机平移和旋转诱饵的纳米体,并计算DI能量。结果表明,刚体平移和DI能量足以确定ZDOCK创建的诱饵的正确结合位置和姿势。对sd-AbDB的调查表明,每个纳米抗体与其伴侣蛋白至少产生一个盐桥,这表明盐桥的形成是纳米抗体-蛋白质识别的重要策略。基于对36种晶体结构的分析和现有文献的证据,我们提出了一套可用于纳米抗体设计的原则。
    This paper aims to understand the binding strategies of a nanobody-protein pair by studying known complexes. Rigid body protein-ligand docking programs produce several complexes, called decoys, which are good candidates with high scores of shape complementarity, electrostatic interactions, desolvation, buried surface area, and Lennard-Jones potentials. However, the decoy that corresponds to the native structure is not known. We studied 36 nanobody-protein complexes from the single domain antibody database, sd-Ab DB, http://www.sdab-db.ca/. For each structure, a large number of decoys are generated using the Fast Fourier Transform algorithm of the software ZDOCK. The decoys were ranked according to their target protein-nanobody interaction energies, calculated by using the Dreiding Force Field, with rank 1 having the lowest interaction energy. Out of 36 protein data bank (PDB) structures, 25 true structures were predicted as rank 1. Eleven of the remaining structures required Ångstrom size rigid body translations of the nanobody relative to the protein to match the given PDB structure. After the translation, the Dreiding interaction (DI) energies of all complexes decreased and became rank 1. In one case, rigid body rotations as well as translations of the nanobody were required for matching the crystal structure. We used a Monte Carlo algorithm that randomly translates and rotates the nanobody of a decoy and calculates the DI energy. Results show that rigid body translations and the DI energy are sufficient for determining the correct binding location and pose of ZDOCK created decoys. A survey of the sd-Ab DB showed that each nanobody makes at least one salt bridge with its partner protein, indicating that salt bridge formation is an essential strategy in nanobody-protein recognition. Based on the analysis of the 36 crystal structures and evidence from existing literature, we propose a set of principles that could be used in the design of nanobodies.
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  • 文章类型: Journal Article
    生物膜是细菌的主要存在方式,在许多工业,医疗和农业领域。生物膜的分析是一项具有挑战性的任务,由于其复杂的组成,异质性和变异性。在这项研究中,根瘤菌根际螺旋藻(菌株Sp245)形成的生物膜,首次对分离的生物膜基质及其大组分进行了详细的研究,使用傅里叶变换红外(FTIR)光谱,特别强调方法论。生物膜基质的比较化学分析的新数据,它的部分和从该菌株细胞外膜分离的脂多糖,以及他们的电泳分析(SDS-PAGE)已被发现与FTIR光谱结果非常吻合。
    Biofilms represent the main mode of existence of bacteria and play very significant roles in many industrial, medical and agricultural fields. Analysis of biofilms is a challenging task owing to their sophisticated composition, heterogeneity and variability. In this study, biofilms formed by the rhizobacterium Azospirillum baldaniorum (strain Sp245), isolated biofilm matrix and its macrocomponents have for the first time been studied in detail, using Fourier transform infrared (FTIR) spectroscopy, with a special emphasis on the methodology. The accompanying novel data of comparative chemical analyses of the biofilm matrix, its fractions and lipopolysaccharide isolated from the outer membrane of the cells of this strain, as well as their electrophoretic analyses (SDS-PAGE) have been found to be in good agreement with the FTIR spectroscopic results.
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