principal components analysis

主成分分析
  • 文章类型: Journal Article
    在极其复杂的海洋环境中存在着各种各样的生命形式。海藻在这种特殊环境中的生长和发育受到细菌的控制,这些细菌沉降在其表面并产生各种无机和有机化学物质。这项工作的目的是鉴定与亚历山大地中海沿岸各个地区的十种常见海洋大型藻类相关的附生和内生细菌种群。这样做是为了针对它们的分布和可能的功能方面。检查藻类栖息地对细菌计数和表型表征的影响,这涉及根据形状等特征对细菌进行分组,颜色,粘液性质,革兰氏染色的类型,以及它们产生孢子的能力。此外,研究正在探索的分离株的生理特性,可以深入了解与藻类形成相关的细菌的最佳环境。大多数细菌分离物表现出广泛的酶活性,用纤维素酶,alginase,酪蛋白酶是最普遍的,根据数据。然而,26%的分离株显示淀粉分解活性,虽然某些来自迈阿密的分离株,东部港口,蒙塔扎缺乏过氧化氢酶活性。添加藻类提取物的地理差异可能会影响细菌种群的计数。这可能与宿主系统发育有关。最重要的观察是,与绿藻相关的内生细菌在所有地点都有所增加,而与红藻相关的红藻在阿布基尔和迈阿密地区增加,在东部港口减少。在物种层面,藻类提取物的添加导致蒙塔扎的透明无菌草的附生细菌的估计数量增加了九倍。值得注意的是,添加藻类提取物后,与Codiumsp。相关的内生细菌的数量。在阿布基尔增加,而在蒙塔扎相同物种减少。除了有最不同品种的藻类,AbuQir具有最不同的细菌分离株。
    There is an enormous diversity of life forms present in the extremely intricate marine environment. The growth and development of seaweeds in this particular environment are controlled by the bacteria that settle on their surfaces and generate a diverse range of inorganic and organic chemicals. The purpose of this work was to identify epiphytic and endophytic bacterial populations associated with ten common marine macroalgae from various areas along the Mediterranean Sea coast in Alexandria. This was done to target their distribution and possible functional aspects. Examine the effects of the algal habitat on the counting and phenotypic characterization of bacteria, which involves grouping bacteria based on characteristics such as shape, colour, mucoid nature, type of Gram stain, and their ability to generate spores. Furthermore, studying the physiological traits of the isolates under exploration provides insight into the optimum environmental circumstances for bacteria associated with the formation of algae. The majority of the bacterial isolates exhibited a wide range of enzyme activities, with cellulase, alginase, and caseinase being the most prevalent, according to the data. Nevertheless, 26% of the isolates displayed amylolytic activity, while certain isolates from Miami, Eastern Harbor, and Montaza lacked catalase activity. Geographical variations with the addition of algal extract may impact on the enumeration of the bacterial population, and this might have a relationship with host phylogeny. The most significant observation was that endophytic bacteria associated with green algae increased in all sites, while those associated with red algae increased in Abu Qir and Miami sites and decreased in Eastern Harbor. At the species level, the addition of algal extract led to a ninefold increase in the estimated number of epiphytic bacteria for Cladophora pellucida in Montaza. Notably, after adding algal extract, the number of presented endophytic bacteria associated with Codium sp. increased in Abu Qir while decreasing with the same species in Montaza. In addition to having the most different varieties of algae, Abu Qir has the most different bacterial isolates.
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  • 文章类型: Journal Article
    食品和环境中氟喹诺酮类药物(FQs)残留的存在引起了人们对食品安全和公共卫生的关注。因此,分析当前FQ的类型和水平具有重要意义。然而,大多数研究都集中在单个FQ的特异性检测上,同时检测食品和环境中可能共存的多个FQ的高通量和快速分析方法明显缺乏。在此,利用荧光碳点(TA-CD)成功构建了三通道传感器阵列,在Cu2+和Fe3+的帮助下,对八类FQ进行定性判别和定量检测。传感器阵列可以区分不同浓度的FQs和FQs的各种混合物,以及识别未知样品的100%准确性。令人印象深刻的是,传感器平台可以定量检测动物源性食品中的FQ,比如蜂蜜,牛奶,鸡蛋,猪肉,以及在水样中。这项研究有可能扩展到具有类似化学结构或性质的其他分析物。
    The presence of fluoroquinolones (FQs) residues in food and the environment has prompted concerns regarding food safety and public health. Consequently, it is of great significance to analyze the types and levels of FQs present. However, the majority of studies have concentrated on the specific detection of individual FQs, with a notable absence of high-throughput and rapid analysis methods for the simultaneous detection of multiple FQs that may coexist in food and the environment. Hereon, a triple-channel sensor array was successfully constructed utilizing fluorescent carbon dots (TA-CDs), with the assistance of Cu2+ and Fe3+, for the qualitative discrimination and quantitative detection of eight types of FQs. The sensor array can distinguish between different concentrations of FQs and various mixtures of FQs, as well as 100 % accuracy in the discrimination of unknown samples. Impressively, the sensor platform can quantitatively detect FQs in animal-derived foods, such as honey, milk, eggs, and pork, as well as in water samples. This research has the potential to be extended to other analytes with similar chemical structures or properties.
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  • 文章类型: Journal Article
    反相(RP)液相色谱是制药行业中表征材料和产品的重要工具。在这个应用领域,方法开发仍然具有挑战性,特别是在处理密切相关的化合物时。色谱选择性模型可用于预测数百个色谱柱中哪些色谱柱可能非常相似,或者不同,应用的选择性。疏水减法模型(HSM1)已广泛用于此目的;该模型的列数据库目前为750列。在以前的工作中,我们探索了原始HSM1(HSM2)的改进,发现增加用于训练模型的数据集的大小大大减少了使用该模型进行的选择性预测中的严重错误的数量。在本文中,我们描述了在这个方向上的进一步工作(HSM3),这次基于更大的溶质集(1014溶质/固定相组合),其中包含与HSM1相比涵盖更广泛的物理化学性质的化合物的选择性。分子量范围增加了一倍,辛醇/水分配系数的对数范围略有增加。活性药物成分和相关的合成中间体和杂质的数量从4个增加到28个,并且十对密切相关的结构(例如,几何和顺式/反式异构体)包括在内。HSM3模型基于使用13个RP固定相和pH3.2的40/60乙腈/25mM甲酸铵缓冲液的流动相的75种化合物的保留测量。该数据驱动模型产生了lnα(使用乙苯作为参考化合物的色谱选择性)的预测,平均绝对误差约为0.033,对应于约3%的α误差。在某些情况下,位置异构体和几何异构体的反式/顺式选择性的预测相对准确,并且可以通过检查HSM3模型中术语的相对大小来推断观察到的选择性的驱动力。对于某些几何异构体对,由于模型中特定项的不确定性很大,因此无法合理化主要负责观察到的选择性的相互作用。这表明未来需要更多的工作来探索其他HSM类型的模型,并继续扩展训练数据集,以继续提高这些模型的预测准确性。此外,我们在这篇论文中发布了一个更大的数据集(43,329个总保留测量值),使其他研究人员能够追求自己的与RP选择性相关的研究路线。
    Reversed-phase (RP) liquid chromatography is an important tool for the characterization of materials and products in the pharmaceutical industry. Method development is still challenging in this application space, particularly when dealing with closely-related compounds. Models of chromatographic selectivity are useful for predicting which columns out of the hundreds that are available are likely to have very similar, or different, selectivity for the application at hand. The hydrophobic subtraction model (HSM1) has been widely employed for this purpose; the column database for this model currently stands at 750 columns. In previous work we explored a refinement of the original HSM1 (HSM2) and found that increasing the size of the dataset used to train the model dramatically reduced the number of gross errors in predictions of selectivity made using the model. In this paper we describe further work in this direction (HSM3), this time based on a much larger solute set (1014 solute/stationary phase combinations) containing selectivities for compounds covering a broader range of physicochemical properties compared to HSM1. The molecular weight range was doubled, and the range of the logarithm of the octanol/water partition coefficients was increased slightly. The number of active pharmaceutical ingredients and related synthetic intermediates and impurities was increased from four to 28, and ten pairs of closely related structures (e.g., geometric and cis-/trans- isomers) were included. The HSM3 model is based on retention measurements for 75 compounds using 13 RP stationary phases and a mobile phase of 40/60 acetonitrile/25 mM ammonium formate buffer at pH 3.2. This data-driven model produced predictions of ln α (chromatographic selectivity using ethylbenzene as the reference compound) with average absolute errors of approximately 0.033, which corresponds to errors in α of about 3 %. In some cases, the prediction of the trans-/cis- selectivities for positional and geometric isomers was relatively accurate, and the driving forces for the observed selectivity could be inferred by examination of the relative magnitudes of the terms in the HSM3 model. For some geometric isomer pairs the interactions mainly responsible for the observed selectivities could not be rationalized due to large uncertainties for particular terms in the model. This suggests that more work is needed in the future to explore other HSM-type models and continue expanding the training dataset in order to continue improving the predictive accuracy of these models. Additionally, we release with this paper a much larger data set (43,329 total retention measurements) at multiple mobile phase compositions, to enable other researchers to pursue their own lines of inquiry related to RP selectivity.
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  • 文章类型: Journal Article
    背景:老年人口腔不良状况可能会对总体健康产生多种影响,包括身体素质和表现。
    目的:本研究旨在确定老年人口腔健康与身体功能之间的关系。
    方法:使用参数比较检验和Pearson相关性分析比较身体功能和口腔健康参数。此外,主成分分析,层次聚类和多维尺度分析对患者的身体和口腔健康评分进行聚类。还使用决策树分析确定了组之间的关系。
    结果:共有112名老年患者参与了这项研究。高咀嚼能力患者的握力(GS)较高,在高口腔健康组中,定时向上和去(TUG)得分较低(p<0.05)。GS与衰变相关,失踪,和填充牙齿指数(DMFT)以及剩余和功能性牙齿的数量(p<0.05)。根据主成分分析,可以看出有三种成分(口服,功能和生活质量(QoL)参数),和彼此相关的特征被聚集在一起。在基于咀嚼能力的分类中,TUG和GS在身体功能标准中显示出最高的相对重要性。它们是GS和与口腔健康相关的QoL的身体活动。
    结论:在老年人中,更高的物理功能参数,特别是GS可能是更好的口腔健康和口腔健康相关QoL的指标。预防性身体康复实践,除了口服治疗,可以有效改善老年人的口腔健康。
    BACKGROUND: Poor oral conditions in the elderly may have numerous effects on general health, including physical fitness and performance.
    OBJECTIVE: This study aimed to determine the relationship between oral health and physical function in elderly people.
    METHODS: Physical function and oral health parameters were compared using parametric comparison tests and Pearson correlation analyses. In addition, principal components analysis, hierarchical clustering and multidimensional scaling analysis clustered the patients\' physical and oral health scores. The relationship between the groups was also determined using decision tree analysis.
    RESULTS: A total of 112 elderly patients participated in the study. Grip strength (GS) was higher in patients with high chewing ability, and Timed Up and Go (TUG) scores were lower in the high oral health group (p < .05). GS was correlated with Decay, Missing, and Filled Teeth Index (DMFT) and the number of remaining and functional teeth (p < .05). According to principal component analysis, it was seen that there were three components (oral, functional and quality of life (QoL) parameters), and the features that were related to each other were gathered together. TUG and GS showed the highest relative importance among physical function criteria in the classification based on chewing ability. They were GS and physical activity for oral health-related QoL.
    CONCLUSIONS: In the elderly, higher physical function parameters, especially GS may be an indicator of a better oral health and oral health-related QoL. Preventive physical rehabilitation practices, in addition to oral treatments, may be effective in improving oral health in the elderly.
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  • 文章类型: Journal Article
    为了确定解释公羊精子冷冻抗性的有效程序,并开发一种新的育种者分类模型,我们进行了一项回顾性研究,使用连续两年从总共82个疗程的冷冻保存中获得的精子分析数据。在每个会话中,通过人工阴道收集了八名男性的新鲜射精,汇集和冷冻在液氮蒸气。解冻后,共分析了19,084个精子轨迹和11,319个形态测量。应用聚类分析来建立能动和形态测量的精子亚群。此外,血浆和顶体膜的完整性,以及在精子解冻后和低渗休克试验(HOST)后立即使用流式细胞仪评估线粒体活性。为了开发公羊精子抗冻指数,使用22个变量进行主成分分析(PCA)。在第一次PCA中,最能解释耐寒性的参数包括总运动性(TM),活动亚群2(motSP2,它组慢,具有低侧向头位移的非常线性的精子),形态测量亚群1(形态SP1,具有最小头部大小和最低形状值的精子分组),解冻后和低渗休克试验后立即精子质膜完整性。这些参数共同占累计方差的77.34%。为了强调它们的重要性,进行了第二次PCA,揭示了解冻后精子运动的数量(TM)和质量(motSP2)的显着较高的加权系数,与解冻精子(morphSP1)的头部大小和形状相比。此外,主机活力比在等渗条件下观察到的更具决定性的作用。
    In order to determine an effective procedure for explaining ram sperm cryoresistance and develop a new model for breeders classification, a retrospective study was conducted using sperm analysis data obtained over two consecutive years from a total of 82 sessions of ram semen cryopreservation. In each session, fresh ejaculates from eight males were collected via artificial vagina, pooled and frozen in liquid nitrogen vapors. After thawing, a total of 19,084 sperm tracks and 11,319 morphometric measurements were analysed. Clustering analyses were applied to establish motile and morphometric sperm subpopulations. Additionally, plasma and acrosome membrane integrity, as well mitochondrial activity using flow cytometry immediately after sperm thawing and following hypoosmotic shock test (HOST) was assessed. To develop a Ram Sperm Cryoresistance Index, Principal Component Analyses (PCA) using 22 variables were conducted. In the first PCA, the parameters that best explain cryoresistance include total motility (TM), motile subpopulation 2 (motSP2, which groups slow, very linear spermatozoa with low lateral head displacement), morphometric subpopulation 1 (morphSP1, grouping spermatozoa with the smallest head size and lowest shape values), sperm plasma membrane integrity immediately after thawing and following hypoosmotic shock test. These parameters collectively account for 77.34 % of the accumulated variance. To emphasize their importance, a second PCA was performed, revealing significant higher weighting coefficients for the quantity (TM) and quality (motSP2) of sperm movement after thawing, compared to the head size and shape of the thawed sperm (morphSP1). Furthermore, HOST Viability played a more decisive role than what was observed under isotonic conditions.
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  • 文章类型: Journal Article
    需要注意执行目标导向的视觉引导运动。我们调查了隐性注意力的方向是否会调节运动结果和动力学。右撇子和左撇子志愿者参加了一个空间位置,同时计划向同一偏区延伸,相反的一个,或者计划在不限制注意力的情况下到达。我们将行为变量测量为同侧和对侧到达的结果,以及通过主成分分析获得的行为轨迹的缠结,以衡量运动控制的动力学。我们发现,隐蔽注意力的方向对运动控制的动力学有显著影响,特别是在对侧到达期间。数据表明,当注意力向左时,电机控制比注意力向右或不受约束时更受反馈驱动,不管是惯用手。这些结果可能有助于更好地了解不对称神经系统疾病的神经基础,例如半球形忽视。
    Attention is needed to perform goal-directed vision-guided movements. We investigated whether the direction of covert attention modulates movement outcomes and dynamics. Right-handed and left-handed volunteers attended to a spatial location while planning a reach toward the same hemifield, the opposite one, or planned a reach without constraining attention. We measured behavioral variables as outcomes of ipsilateral and contralateral reaching and the tangling of behavioral trajectories obtained through principal component analysis as a measure of the dynamics of motor control. We found that the direction of covert attention had significant effects on the dynamics of motor control, specifically during contralateral reaching. Data suggest that motor control was more feedback-driven when attention was directed leftward than when attention was directed rightward or when it was not constrained, irrespectively of handedness. These results may help to better understand the neural bases of asymmetrical neurological diseases like hemispatial neglect.
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  • 文章类型: Journal Article
    背景:2019年冠状病毒病(COVID-19)对全球卫生和医疗保健系统产生了重大影响。这项回顾性研究旨在评估Jazan的COVID-19患者的生化参数与预后之间的关系,沙特阿拉伯。
    方法:在建立纳入标准并获得伦理批准后,156例经逆转录聚合酶链反应(RT-PCR)证实的COVID-19患者的数据来自Samtah一家综合医院的电子病历,Jazan,从2020年4月到2021年10月。收集的数据包括患者的人口统计学和肝脏,肾,心,和电解质功能标记水平。描述性的,推论,并进行了主成分分析。
    结果:生存率因年龄和体重指数(BMI)而异。统计分析表明,谷草转氨酶(AST)的水平,丙氨酸氨基转移酶(ALT),碱性磷酸酶(ALP),钠(Na),钾(K),血尿素氮(BUN),肌酐(Cr),肌酸激酶(CK),CK心肌带(MB),乳酸脱氢酶(LDH)明显高于参考值(P<0.05),如使用单样本t检验评估的。主成分分析(PCA)还揭示了这些生化标记物变化的潜在模式。这些结果表明,某些生化参数可能是监测COVID-19患者病情的有用指标。
    结论:这项在Jazan的回顾性研究,沙特阿拉伯强调了COVID-19患者的生化参数与预后之间的关系。肝脏标志物水平升高,肾,心,和电解质功能提示器官损伤和失调。通过PCA识别的模式提供了对疾病严重程度的见解。监测这些参数可以作为评估COVID-19患者的有价值的指标。需要进一步的研究来验证这些发现,探索他们个性化治疗策略的潜力,并在持续的大流行期间改善患者的预后。
    BACKGROUND: Coronavirus disease 2019 (COVID-19) has had a significant impact on global health and healthcare systems. This retrospective study aimed to assess the association between biochemical parameters and outcomes in COVID-19 patients in Jazan, Saudi Arabia.
    METHODS: After establishing the inclusion criteria and obtaining ethical approval, data from 156 reverse transcriptase-polymerase chain reaction (RT-PCR)-confirmed COVID-19 patients were collected from electronic medical records from a general hospital in Samtah, Jazan, from April 2020 to October 2021. The collected data included patient demographics and liver, kidney, heart, and electrolyte function marker levels. Descriptive, inferential, and principal component analyses were conducted.
    RESULTS: Survival rates varied according to age and body mass index (BMI). Statistical analysis demonstrated that the levels of aspartate aminotransferase (AST), alanine aminotransferase (ALT), alkaline phosphatase (ALP), sodium (Na), potassium (K), blood urea nitrogen (BUN), creatinine (Cr), creatine kinase (CK), CK myocardial band (MB), and lactate dehydrogenase (LDH) were significantly higher (P < 0.05) than the reference values, as assessed using the one-sample t-test. Principal component analysis (PCA) also revealed an underlying pattern in the variation of these biochemical markers. These findings suggest that certain biochemical parameters may serve as useful indicators for monitoring the condition of COVID-19 patients.
    CONCLUSIONS: This retrospective study in Jazan, Saudi Arabia highlights the association between biochemical parameters and outcomes in COVID-19 patients. Elevated levels of markers of liver, kidney, heart, and electrolyte function suggest organ damage and dysregulation. The pattern identified through PCA provides insights into disease severity. Monitoring these parameters may serve as valuable indicators for assessing COVID-19 patients. Further research is needed to validate these findings, explore their potential for personalized treatment strategies, and improve patient outcomes during the ongoing pandemic.
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  • 文章类型: Journal Article
    尺寸-重量错觉是一种现象,其中较小的对象比同等权重的较大对象更重。感觉运动不匹配理论提出,这种错觉的发生是由于在举起大小物体时收到的传出运动命令和传入感觉反馈之间的不匹配(即,施加的举升力太少和太大,分别)。研究表明,物体的感知重量与施加在其上的提升力之间存在分离,从而破坏了这种解释。然而,这项研究在报告的提升力措施的选择上存在不一致。因此,我们研究了感觉运动不匹配在大小-重量错觉和非大小-重量错觉刺激中对重量感知的影响,并评估了提升力汇总测量的使用情况,其中包括先前研究中使用的四种最常见的提升力测量值.在这样做的时候,感觉运动不匹配理论得到了大部分支持.在大小重量错觉实验中,提升力与重量感知相关,与早期的一些研究相反,随着时间的推移没有适应。在非尺寸重量错觉实验中,与没有切换试验相比,在提升轻物和重物之间进行切换会导致对这些物体重量的感知不同,这反映了参与者在物体上施加力的方式的差异。此外,我们发现,我们的力总和测量可以更敏感和客观地检查提升力对物体的影响。
    The size-weight illusion is a phenomenon where a smaller object is perceived heavier than an equally weighted larger object. The sensorimotor mismatch theory proposed that this illusion occurs because of a mismatch between efferent motor commands and afferent sensory feedback received when lifting large and small objects (i.e., the application of too little and too much lifting force, respectively). This explanation has been undermined by studies demonstrating a separation between the perceived weight of objects and the lifting forces that are applied on them. However, this research suffers from inconsistencies in the choice of lifting force measures reported. Therefore, we examined the contribution of sensorimotor mismatch in the perception of weight in the size-weight illusion and in non-size-weight illusion stimuli and evaluated the use of a lifting force aggregate measure comprising the four most common lifting force measures used in previous research. In doing so, the sensorimotor mismatch theory was mostly supported. In a size-weight illusion experiment, the lifting forces correlated with weight perception and, contrary to some earlier research, did not adapt over time. In a non-size-weight illusion experiment, switches between lifting light and heavy objects resulted in perceiving the weight of these objects differently compared to no switch trials, which mirrored differences in the manner participants applied forces on the objects. Additionally, we reveal that our force aggregate measure can allow for a more sensitive and objective examination of the effects of lifting forces on objects.
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  • 文章类型: Journal Article
    本文开发了一种新的杂种,自动化,和结合高光谱成像的非侵入性方法,Savitzky-Golay(SG)滤波器,主成分分析(PCA),机器学习(ML)分类器/回归器,和堆叠泛化方法来检测蜂蜜中的糖。首先,使用各种ML回归器预测蜂蜜中32种不同的糖浓度水平。第二,使用各种分类器对六个范围的糖进行分类。第三,使用分类器对11种蜂蜜和100%糖进行分类。堆叠模型(STM)获得R2:0.999,RMSE:0.493ml(v/v),RPD:40.2,10倍平均R2:0.996和RMSE:1.27ml(v/v),用于预测32种糖浓度。STM的马修斯相关系数(MCC)为99.7%,Kappa评分为99.7%,对6种糖范围和12种蜂蜜类型和一种糖进行分类时,MCC的平均10倍为98.9%,Kappa得分为98.9%。
    This paper develops a new hybrid, automated, and non-invasive approach by combining hyper-spectral imaging, Savitzky-Golay (SG) Filter, Principal Components Analysis (PCA), Machine Learning (ML) classifiers/regressors, and stacking generalization methods to detect sugar in honey. First, the 32 different sugar concentration levels in honey were predicted using various ML regressors. Second, the six ranges of sugar were classified using various classifiers. Third, the 11 types of honey and 100% sugar were classified using classifiers. The stacking model (STM) obtained R2: 0.999, RMSE: 0.493 ml (v/v), RPD: 40.2, a 10-fold average R2: 0.996 and RMSE: 1.27 ml (v/v) for predicting 32 sugar concentrations. The STM achieved a Matthews Correlation Coefficient (MCC) of 99.7% and a Kappa score of 99.7%, a 10-fold average MCC of 98.9% and a Kappa score of 98.9% for classifying the six sugar ranges and 12 categories of honey types and a sugar.
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  • 文章类型: Journal Article
    基础数据分析有助于评估关键问题,以辨别基本事实并引出以前看不见的证据。在这篇文章中,我们提供了在COVID-19大流行期间在癌症发病率中观察到的一个微妙现象。我们分析了美国癌症协会的癌症发病率数据[1]。我们将数据分为三组:前COVID-19年(2017年、2018年),在COVID-19年(2019年、2020年、2021年),以及后COVID-19年(2022年、2023年)。以一种新颖的方式,我们应用主成分分析(PCA),计算癌症发病率向量之间的角度,然后在我们的分析中加入对数正态概率概念。我们的分析结果表明,癌症发病率在每个时代都发生了变化(前,during,andpost),癌症发病率在2020年发生了有意义的变化,这是COVID-19时代的高峰。我们定义,计算,并解释了癌症类型在未来一年中在乳腺癌中发生1000例的超额概率,子宫颈,结直肠,子宫体,白血病,肺和支气管,黑色素瘤,霍奇金淋巴瘤,前列腺,和泌尿系癌症。我们还定义了,估计,并从乳腺癌的有利位置说明了其他癌症诊断的指标,during,和后COVID-19时代。COVID-19后的角度向量比大流行前少72%,比大流行期间少28%。癌症媒介的运动在这些时代之间是动态的,和运动因癌症类型而异。宫颈癌趋势图显示2019年和2021年的统计异常。根据我们的发现,指出了今后的研究方向。
    Fundamental data analysis assists in the evaluation of critical questions to discern essential facts and elicit formerly invisible evidence. In this article, we provide clarity into a subtle phenomenon observed in cancer incidences throughout the time of the COVID-19 pandemic. We analyzed the cancer incidence data from the American Cancer Society [1]. We partitioned the data into three groups: the pre-COVID-19 years (2017, 2018), during the COVID-19 years (2019, 2020, 2021), and the post-COVID-19 years (2022, 2023). In a novel manner, we applied principal components analysis (PCA), computed the angles between the cancer incidence vectors, and then added lognormal probability concepts in our analysis. Our analytic results revealed that the cancer incidences shifted within each era (pre, during, and post), with a meaningful change in the cancer incidences occurring in 2020, the peak of the COVID-19 era. We defined, computed, and interpreted the exceedance probability for a cancer type to have 1000 incidences in a future year among the breast, cervical, colorectal, uterine corpus, leukemia, lung & bronchus, melanoma, Hodgkin\'s lymphoma, prostate, and urinary cancers. We also defined, estimated, and illustrated indices for other cancer diagnoses from the vantage point of breast cancer in pre, during, and post-COVID-19 eras. The angle vectors post the COVID-19 were 72% less than pre-pandemic and 28% less than during the pandemic. The movement of cancer vectors was dynamic between these eras, and movement greatly differed by type of cancer. A trend chart of cervical cancer showed statistical anomalies in the years 2019 and 2021. Based on our findings, a few future research directions are pointed out.
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