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The Trigger Model of the Dynamics of Acute and Chronic Aseptic Inflammation 急性和慢性无菌性炎症动力学的触发模型
Q3 Mathematics Pub Date : 2022-11-15 DOI: 10.17537/2022.17.266
T.S. Mikhakhanova, O. F. Voropaeva
The work is devoted to the study of the qualitative properties of solutions of the mathematical model of the dynamics of aseptic inflammation and the issues of their practical application. Data are presented that indicate the potential use of the model to describe a wide range of biological processes and diseases in which aseptic inflammation is a pathogenic factor. The multistability of the dynamic system in the vicinity of biologically significant solutions and the corresponding range of parameter values is found. It is shown that, depending on the initial conditions, the model describes not only the conditional norm state (in the absence of a wound) and the classical acute inflammatory reaction to damage, but also its transition to a chronic form. The trigger mechanism of switching states of the system is investigated. The possibilities of the model as an effective tool for studying and early predicting the nature of the immune response, as well as for analyzing hypothetical therapeutic strategies that prevent the progression of acute inflammation into chronic inflammation are shown.
该工作致力于无菌性炎症动力学数学模型解的定性性质及其实际应用问题的研究。提出的数据表明,该模型的潜在用途来描述范围广泛的生物过程和疾病,其中无菌性炎症是一个致病因素。得到了动态系统在生物显著解和相应参数值范围附近的多稳定性。结果表明,根据初始条件,该模型不仅描述了条件规范状态(没有伤口)和经典的急性炎症反应,而且还描述了其向慢性形式的过渡。研究了系统状态切换的触发机制。该模型作为研究和早期预测免疫反应性质的有效工具的可能性,以及分析防止急性炎症进展为慢性炎症的假设治疗策略的可能性。
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引用次数: 0
Application of the Aho-Korasik Algorithm for the Selection of Primers for Loop Isothermal Amplification Aho-Korasik算法在循环等温扩增引物选择中的应用
Q3 Mathematics Pub Date : 2022-11-14 DOI: 10.17537/2022.17.250
L. Akhmetzianova, T. Davletkulov, R. Garafutdinov, I. Gubaydullin
This paper presents a program which allows user to do primer design for identifying DNA target site or a whole genome with a goal of performing loopmediated isothermal amplification. The review of the most popular existing primer design programs for LAMP is carried out. Recommended conditions are presented in the paper. They are required to be taken in consideration during the process of primer design for loop-mediated isothermal amplification. These are the conditions: primer’s length, GC-content, amplicon average size, annealing temperature and distance between primers. A search for primer positions in genome is needed since loop-mediated isothermal amplification requires primer kits that consist of 6 primers in order for primer design to be done. The Aho–Corasick algorithm was proposed for a search implementation. This algorithm is capable of simultaneous search for a number of sample (primer) entries in a longer sequence (a fragment or a whole genome). This software allows the search for primers in genomes of various length and it groups primers by kits, which in turn could be applied in laboratory experiments. These kits are formed according both to the recommended conditions of primer selection for performing loop-mediated isothermal amplification and to the initial conditions, which are determined by the user before the process. After that, the user may choose the best option for their case from a list of primer kits that are being created as a result of performed computer analysis. The test run of the program was done during the search for a specific primer kit that is meant to be used for performing loop-mediated isothermal amplification of genome with a goal of detection of novel coronavirus infection SARS-CoV-2, a virus that triggers a dangerous disease, COVID-19. The software was developed using Python with BioPython and Pyahocorasick libraries and available at the link: https://cloud.mail.ru/public/C7av/QCkSiUomz.
本文提出了一个程序,允许用户做引物设计鉴定DNA靶位点或全基因组与执行环介导等温扩增的目标。对目前最流行的LAMP引物设计程序进行了综述。文中提出了建议条件。在环介导等温扩增引物设计过程中,需要考虑这些因素。这些条件是:引物长度,gc含量,扩增子平均尺寸,退火温度和引物之间的距离。由于环介导的等温扩增需要包含6个引物的引物试剂盒才能进行引物设计,因此需要在基因组中寻找引物位置。提出了Aho-Corasick算法用于搜索实现。该算法能够同时搜索较长序列(片段或整个基因组)中的多个样本(引物)条目。该软件允许在不同长度的基因组中搜索引物,并按试剂盒对引物进行分组,从而可以应用于实验室实验。这些试剂盒是根据进行环介导等温扩增的引物选择的推荐条件和初始条件形成的,这些条件是由用户在过程前确定的。在此之后,用户可以从正在创建的引物试剂盒列表中选择最适合其情况的引物试剂盒,这些引物试剂盒是计算机分析的结果。该程序的测试运行是在寻找一种特定的引物试剂盒期间进行的,该试剂盒旨在用于进行环介导的基因组等温扩增,目的是检测新型冠状病毒感染SARS-CoV-2,这种病毒会引发危险的疾病COVID-19。该软件是使用Python与bioppython和Pyahocorasick库开发的,链接:https://cloud.mail.ru/public/C7av/QCkSiUomz。
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引用次数: 1
Application of Benford's Law for Quality Assessment of Preventive Screening Data Benford定律在预防筛查数据质量评价中的应用
Q3 Mathematics Pub Date : 2022-11-05 DOI: 10.17537/2022.17.230
O. Starunova, S. Rudnev, A. Ivanova, V. G. Semenova, V. Starodubov
An empirical Benford's law which describes the probability of the appearance of certain first significant digits in many distributions taken from real life, is used to identify anomalies in various kinds of data. Our aim was to test Benford's law to assess the quality of mass preventive screening data on the example of bioelectrical impedance analysis (BIA) data from Moscow health centers. As was shown earlier, such a data is characterized by a high level of contamination by artificially generated and falsified data. A generated 2010–2019 database of BIA measurements contained 1361019 measurement records in the age range of the examined persons from 5 to 96 years. Application of the expert quality assessment algorithm, which was used as a reference for evaluation of the effectiveness of Benford analysis, revealed a high percentage of incorrect data (66.5 %) which was dominated by falsified data. To characterize the degree of the data compliance with Benford's law, the mean absolute deviations of the frequency distributions of the first and first two significant digits deviations from the proper values and chi-squared statistics for the tenth powers of the standardized resistance, reactance, and resistance index values were assessed for each health center. A significant correlation was observed between the data deviation from Benford's law and the percentage of incorrect data as provided by the expert quality assessment algorithm (ρmax = 0.66 and 0.62 for the mean absolute deviations and χ2 statistics, respectively, based on the resistance value and the first significant digit). It is suggested that deviation of the BIA data from Benford's law serves as a sufficient, but not a necessary, condition for their contamination. For those health centers, in which most of the incorrect data were represented by multiple measurements of the same person under the guise of different ones, the data were in good agreement with Benford's law. If the structure of incorrect data was dominated by measurements of the calibration block, software emulations of BIA measurements and outliers, then the use of Benford's law made it possible to effectively rank health centers by the level of data authenticity.
一个经验本福德定律描述了从现实生活中提取的许多分布中出现某些第一有效数字的概率,用于识别各种数据中的异常。我们的目的是以莫斯科卫生中心的生物电阻抗分析(BIA)数据为例,检验Benford定律以评估大规模预防性筛查数据的质量。如前所述,这种数据的特点是受到人为产生和伪造数据的高度污染。生成的2010-2019年BIA测量数据库包含1361019条测量记录,其年龄范围为5至96岁。应用专家素质评估算法作为评价本福德分析有效性的参考,发现数据不正确的比例很高(66.5%),其中以伪造数据为主。为了描述数据符合本福德定律的程度,对每个医疗中心的标准化电阻、电抗和电阻指标值的十分之一幂的频率分布的第一个和前两个有效数字偏离正确值的平均绝对偏差和卡方统计进行了评估。数据偏离本福德定律与专家质量评估算法提供的不正确数据百分比之间存在显著相关(基于阻值和第一位有效数字的平均绝对偏差和χ2统计量的ρmax分别= 0.66和0.62)。认为BIA数据偏离本福德定律是其污染的充分条件,但不是必要条件。对于那些医疗中心来说,大多数不正确的数据都是在不同的幌子下对同一个人进行多次测量,这些数据与本福德定律非常吻合。如果不正确数据的结构是由校准块的测量、BIA测量的软件模拟和异常值所主导的,那么使用本福德定律可以根据数据真实性水平有效地对医疗中心进行排名。
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引用次数: 0
Multiplex in silico RAPD-Analysis for Genome Barcoding 基因组条形码的多重rapd分析
Q3 Mathematics Pub Date : 2022-09-27 DOI: 10.17537/2022.17.208
O. Kiryanova, I. Kiryanov, B. Kuluev, R. Garafutdinov, A. V. Chemeris, I. Gubaydullin
In this work, we propose a new method for identifying organisms of multiplex polymerase chain reaction (PCR) with arbitrary primers in silico (multiplex in silico RAPD-analysis) for the unique identification of living organisms. The results of computer modeling search of possible primer annealing sites in genomic DNA, and their convertation into the genomic barcode format, are proposed. These data with information about used primers that can be unique for genomes. A comparative analysis of genomic barcodes of species of related plant species was carried out in order to classify them on the level of species and lines in the future. A pairwise analysis of the location of the same or similar amplicons within different subgenomes and genomes is presented. The genomes of wheat and Aegilops in FASTA files format are presented as the research samples. The proposed method makes possible to predict the success of the multiplex polymerase chain reaction using special primers in the laboratory. This technology allows the analysis of the entire genomic DNA, rather than fragments of the genome.
在这项工作中,我们提出了一种用任意引物在硅中鉴定多重聚合酶链反应(PCR)生物的新方法(多重硅rapd分析),用于生物的独特鉴定。提出了基因组DNA中可能引物退火位点的计算机模拟搜索结果,并将其转换为基因组条形码格式。这些数据包含了使用过的引物的信息,这些引物对于基因组来说是独一无二的。对近缘植物种间的基因组条形码进行比较分析,以便今后在种和系的水平上进行分类。对不同亚基因组和基因组中相同或相似扩增子的位置进行了两两分析。以FASTA文件格式的小麦和羊蹄草基因组为研究样本。所提出的方法使得在实验室中使用特殊引物预测多重聚合酶链反应的成功成为可能。这项技术可以分析整个基因组DNA,而不是基因组的片段。
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引用次数: 0
Development of a Deep Learning Generative Neural Network for Computer-Aided Design of Potential SARS-Cov-2 Inhibitors 基于深度学习生成神经网络的潜在SARS-Cov-2抑制剂计算机辅助设计
Q3 Mathematics Pub Date : 2022-09-12 DOI: 10.17537/2022.17.188
N.A. Shuldau, A. Yushkevich, K. V. Furs, A. Tuzikov, A. Andrianov
Two generative deep learning models have been developed for the computer-aided design of potential inhibitors of the SARS-CoV-2 main protease (MPro), an enzyme critically important for the virus replication and transcription, and, therefore, presenting a promising target for the design of effective antiviral drugs. To solve this problem, we formed a training library of small molecules containing structural elements capable of providing specific and effective interactions of potential ligands with the SARS-CoV-2 MPro catalytic site. The architecture of generative models was developed and implemented to generate new high-affinity ligands of this functionally important SARS-CoV-2 protein. The neural network was trained and tested on the compounds from the training library, and the results of training and operation in two different generation modes were evaluated. The use of generative models in conjunction with the molecular docking demonstrated their great potential for filling the unexplored regions of the chemical space with novel molecules with pre-defined properties, which is confirmed by the obtained results according to which out of 4805 compounds generated by the neural network only one compound was present in the original data set.
已经开发了两个生成式深度学习模型,用于计算机辅助设计SARS-CoV-2主蛋白酶(MPro)的潜在抑制剂,MPro是一种对病毒复制和转录至关重要的酶,因此为设计有效的抗病毒药物提供了一个有希望的目标。为了解决这个问题,我们建立了一个小分子训练库,其中包含能够提供潜在配体与SARS-CoV-2 MPro催化位点特异性有效相互作用的结构元件。开发并实施了生成模型的架构,以生成这种功能重要的SARS-CoV-2蛋白的新的高亲和力配体。利用训练库中的化合物对神经网络进行训练和测试,并对两种不同生成模式下的训练和运行结果进行了评价。生成模型与分子对接的结合使用表明,它们具有巨大的潜力,可以用具有预定义性质的新分子填充化学空间的未探索区域,根据所获得的结果,在由神经网络生成的4805种化合物中,只有一种化合物存在于原始数据集中。
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引用次数: 2
Additional Pathogenic Pathways in RBCK1 Deficiency RBCK1缺乏的其他致病途径
Q3 Mathematics Pub Date : 2022-08-09 DOI: 10.17537/2022.17.174
E. Demicheva, K. Shinwari, K. Ushenin, M. Bolkov
RBCK1 deficiency is a rare congenital autoinflammatory disease that causes inflammatory disruption on the molecular level. This deficiency has three major clinical manifestations: increased sensitivity to bacterial infections, autoinflammation syndrome, and the accumulation of amylopectin in skeletal muscle. The amylopectinosis causes myopathy and cardiomyopathy. The pathogenesis of the disease is poorly investigated and may include unnoticed relationships. We performed gene expression analysis on patients with RBCK1 deficiency and three other autoinflammatory diseases. The identification of differentially expressed genes revealed a large number of downregulated genes that are involved in the activation of essential metabolic and immune pathways, including NF-kB and Pi3k-Akt-mTOR. Signaling pathways were analysed using the KEGG (Kyoto Encyclopedia of Genes and Genomes) and Gene Ontology resource. Predicted protein-protein interactions were retrieved from the STRING (Search Tool for the Retrieval of Interacting proteins database). Besides the primary involvement of RBCK1 in disease pathology, several downregulated pathways aggravate symptoms of myopathy, cardiomyopathy, and bacterial disease. The studied pathways may serve as new targets for the development of compensatory therapies for patients with RBCK1 deficiency.
RBCK1缺乏症是一种罕见的先天性自身炎症疾病,在分子水平上引起炎症破坏。这种缺乏有三个主要的临床表现:对细菌感染的敏感性增加、自身炎症综合征和支链淀粉在骨骼肌中的积累。支链淀粉样蛋白病引起肌病和心肌病。该病的发病机制研究甚少,可能包括未被注意到的关系。我们对患有RBCK1缺乏症和其他三种自身炎症性疾病的患者进行了基因表达分析。差异表达基因的鉴定揭示了大量参与必需代谢和免疫途径激活的下调基因,包括NF-kB和Pi3k-Akt-mTOR。利用京都基因与基因组百科全书(KEGG)和基因本体资源分析信号通路。预测的蛋白-蛋白相互作用从STRING(检索相互作用蛋白数据库的搜索工具)中检索。除了RBCK1在疾病病理中的主要参与外,一些下调的通路加重了肌病、心肌病和细菌性疾病的症状。所研究的通路可能为开发针对RBCK1缺乏症患者的代偿疗法提供新的靶点。
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引用次数: 0
A note on the formation of polaron states in a homogeneous chain 关于均相链中极化子态形成的注释
Q3 Mathematics Pub Date : 2022-07-30 DOI: 10.17537/2022.17.171
V. Lakhno, N. Fialko
Today in many articles charge propagation in biopolymers, for example, in DNA, have been modeled with different variants of boundary conditions – free ends or ring. It is assumed that for long chains, the ends practically do not affect the charge dynamics, and this is true in most cases. In this note, we discuss the case when these boundary conditions lead to significantly different results.
今天,在许多文章中,生物聚合物中的电荷传播,例如DNA,已经用不同的边界条件——自由末端或环——来建模。假设对于长链,末端实际上不影响电荷动力学,这在大多数情况下是正确的。在本文中,我们将讨论这些边界条件导致显著不同结果的情况。
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引用次数: 0
Stochastic Modeling of Dynamics of the Spread of COVID-19 Infection Taking Into Account the Heterogeneity of Population According To Immunological, Clinical and Epidemiological Criteria 根据免疫学、临床和流行病学标准考虑人群异质性的COVID-19感染传播动力学随机建模
Q3 Mathematics Pub Date : 2022-06-20 DOI: 10.17537/2022.17.43
N. Pertsev, K. Loginov, A. Lukashev, Y. Vakulenko
Here we present a stochastic model of the spread of Covid-19 infection in a certain region. The model is a continuous-discrete random process that takes into account a number of parallel processes, such as the non-stationary influx of latently infected individuals into the region, the passage by individuals of various stages of an infectious disease, the vaccination of the population, and the re-infection of some of the recovered and vaccinated individuals. The duration of stay of individuals in various stages of an infectious disease is described using distributions other than exponential. An algorithm for numerical statistical modeling of the dynamics of the spread of infection among the population of the region based on the Monte Carlo method has been developed. To calibrate the model, we used data describing the level of seroprevalence of the population of the Novosibirsk Region in the first wave of the Covid-19 epidemic in 2020. The results of computational experiments with the model are presented for studying the dynamics of the spread of infection under vaccination of the population of the region.
在这里,我们提出了Covid-19感染在某一地区传播的随机模型。该模型是一个连续离散的随机过程,它考虑了许多平行过程,如潜伏感染个体进入该地区的非平稳流入,传染病不同阶段的个体通过,群体的疫苗接种,以及一些恢复和接种疫苗的个体的再次感染。个体在传染病不同阶段的停留时间使用分布而不是指数来描述。提出了一种基于蒙特卡罗方法的传染病传播动态数值统计建模算法。为了校准模型,我们使用了描述2020年第一波Covid-19流行期间新西伯利亚地区人口血清患病率水平的数据。给出了该模型的计算实验结果,用于研究该地区人群接种疫苗时感染传播的动力学。
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引用次数: 3
Coronavirus Genus Recognition Based on Prototype Virus Variants 基于原型病毒变体的冠状病毒属识别
Q3 Mathematics Pub Date : 2022-03-15 DOI: 10.17537/2022.17.10
M. Chaley, V. Kutyrkin
Method named as variant approach to recognizing genus of coronavirus that is based on frequency of codon distribution in viral ORF1ab and genes of structural proteins (S, M and N) was proposed in the work. This method uses modified statistics whose efficiency was demonstrated earlier for flavivirus species recognition. To recognize genus of coronavirus the variant approach considers both various combinations of several structural coronavirus genes and individual structural genes. Finally, coronavirus genus is determined in the result of analysis of all variants considered. The method proposed was developed with the help of learning sample from prototype viral variants of Alphacoronavirus, Betacoronavirus, Deltacoronavirus and Gammacoronavirus genus. Application of the variant approach to recognizing genus of coronavirus has demonstrated the approach high assurance at level of 95 %. Among all variants of joint analysis, the most reliability (98 %) in recognizing genus has been achieved if codon frequency of the ORF1ab was used. Variant approach has revealed a phenomenon of mosaic structure in coronavirus genomes, i.e., when the results of genus recognition for a few genes differ from final conclusion about coronavirus genus. It seems that such phenomenon reflects homologous recombinations of the genes between various species of the coronaviruses and plasticity of their genomes in evolutionary processes.
本文提出了基于病毒ORF1ab密码子分布频率和结构蛋白(S、M、N)基因的变异识别冠状病毒属的方法。该方法采用改进的统计量,其有效性已在早期的黄病毒种类识别中得到证实。为了识别冠状病毒属,变异方法既考虑了几种冠状病毒结构基因的不同组合,也考虑了单个结构基因的不同组合。最后,根据所考虑的所有变异的分析结果确定冠状病毒属。该方法是通过学习甲型冠状病毒、乙型冠状病毒、德尔塔冠状病毒和伽玛冠状病毒属的原型病毒变体样本而开发的。变异方法在冠状病毒属识别中的应用表明,该方法的准确率高达95%。在联合分析的所有变异中,如果使用ORF1ab的密码子频率,识别属的可靠性最高(98%)。变异方法揭示了冠状病毒基因组中的镶嵌结构现象,即少数基因的属识别结果与冠状病毒属的最终结论存在差异。这一现象似乎反映了不同冠状病毒物种之间基因的同源重组及其基因组在进化过程中的可塑性。
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引用次数: 4
A Software Package for the Modeling of Electrophysiological Activity Data 电生理活动数据建模软件包
Q3 Mathematics Pub Date : 2022-01-12 DOI: 10.17537/2022.17.1
A. Boyko, S. Rykunov, M. Ustinin
A complex of programs has been developed for computer modeling of multichannel time series recorded in various experiments on electromagnetic fields created by the human body. Sets of coordinates and directions of sensors for magnetic encephalographs of several types, electroencephalographs and magnetic cardiographs are used as models of devices. To study the human brain, magnetic resonance tomograms are used as head models; to study the heart, a body model in the form of a half-space with a flat boundary is used. The sources are placed in the model space, for them the direct problem is solved in the physical model corresponding to the device used. For a magnetic encephalograph and an electroencephalograph, an equivalent current dipole model in a spherical conductor is used, for a magnetic cardiograph, an equivalent current dipole model in a flat conductor or a magnetic dipole model is used. For each source, a time dependence is set and a multichannel time series is calculated. Then the time series from all sources are summed and the noise component is added. The program consists of three modules: an input-output module, a calculation module and a visualization module. The input-output module is responsible for loading device models, brain models, and field source parameters. The calculation module is responsible for directly calculating the field and transforming coordinates between the index system and the head system. The visualization module is responsible for the image of the brain model, the position of the field sources, a graphical representation of the amplitude-time dependence of the field sources and the calculated values of the total field. The user interface has been developed. The software package provides: interactive placement of field sources in the head or body space and editing of the amplitude-time dependence; batch loading of a large number of sources; noise modeling; simulation of low-channel planar magnetometers of various orders, specifying the shape of the device, the number of sensors and their parameters. Magnetic and electric fields produced by sources in the brain areas responsible for processing speech stimuli are considered. The resulting multichannel signal can be used to test various data analysis methods and for the experiment planning.
一个复杂的程序已经开发了计算机模拟多通道时间序列记录在各种实验中由人体产生的电磁场。几种类型的脑磁仪、脑电图仪和磁心仪的传感器的坐标和方向集被用作设备的模型。为了研究人类大脑,使用磁共振断层图作为头部模型;为了研究心脏,使用了具有平面边界的半空间形式的身体模型。这些源被放置在模型空间中,对它们来说,直接的问题是在与所使用的设备对应的物理模型中解决的。对于磁脑电图仪和脑电图仪,采用球形导体中的等效电流偶极子模型;对于磁心电仪,采用扁平导体中的等效电流偶极子模型或磁偶极子模型。对于每个源,时间依赖性被设置并计算多通道时间序列。然后对所有源的时间序列进行求和,并加入噪声分量。该程序由三个模块组成:输入输出模块、计算模块和可视化模块。输入输出模块负责加载设备模型、脑模型和场源参数。计算模块负责直接计算字段,并在指标体系和头部体系之间进行坐标转换。可视化模块负责脑模型的图像、场源的位置、场源的幅值-时间依赖性的图形表示以及总场的计算值。已经开发了用户界面。该软件包提供:在头部或身体空间交互放置场源和编辑振幅-时间依赖性;批量加载大量源;噪声建模;仿真各种阶次的低通道平面磁强计,指定器件的形状、传感器的数量及其参数。在负责处理语音刺激的大脑区域的来源产生的磁场和电场被考虑。由此产生的多通道信号可用于测试各种数据分析方法和实验计划。
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引用次数: 0
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