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The Incipient Formation of the Internal Dynamics of a Uniformly Moving Polaron in a Polynucleotide Chain Subjected To a Constant Electric Field 恒定电场作用下多核苷酸链中均匀移动极化子内部动力学的初步形成
Q3 Mathematics Pub Date : 2022-12-14 DOI: 10.17537/2022.17.452
A. N. Korshunova, V. Lakhno
In this paper we consider the incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field. The calculations performed show that Bloch oscillations arising in the course of the polaron oscillatory motion along the chain do not completely disappear when the polaron's motion along the chain becomes uniform. When the polaron moves uniformly along the chain, Bloch oscillations are also observed, although in a slightly different form. It is shown that the shape of the electron density distribution in a polaron during its stationary motion in a constant electric field takes an explicit structure. In this case, such characteristics of Bloch oscillations as the period of Bloch oscillations and the maximum Bloch amplitude demonstrate low-density components of the polaron.
本文考虑了恒定电场作用下多核苷酸链中均匀运动极化子内部动力学的初始形成。计算结果表明,当极化子沿链的运动趋于均匀时,极化子沿链振荡过程中产生的布洛赫振荡并不完全消失。当极化子沿链均匀移动时,也观察到布洛赫振荡,尽管形式略有不同。结果表明,极化子在恒定电场中静止运动时的电子密度分布具有明确的结构。在这种情况下,布洛赫振荡的周期和最大布洛赫振幅等特征表明极化子的低密度成分。
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引用次数: 1
Structure and features of amino acid sequences of Π-modules in OB-folds ob -折叠Π-modules氨基酸序列的结构与特征
Q3 Mathematics Pub Date : 2022-12-06 DOI: 10.17537/2022.17.441
E. Brazhnikov, A. V. Efimov
Stereochemical analysis has been performed for П-modules from the large set of non-homologous protein structures containing the OB-fold. That module consists of two β-strands connected by a loop and placed in different sheets in such a way which looks as Greek letter П. Total 70 non-homologous proteins at resolution not less than 2.5Å have been selected for the analysis from 265 suitable structures belonging to sixteen OB-fold super families. We have disclosed two types of П-modules: the fist with the connecting loop containing α-helix, and second one without helix. Entrance of protein chain into second β-sheet is carried out by the same arch with conformation βββαLβp. In most cases, 85 % of total, α-positions are occupied by glycine residue, while at entrance in the loop such residues are absent. Occupancy frequency of П-modules has been obtained in dependence on the loop length. Spatial pathway of structures of all modules are superimposed very well. Structural alignment of amino acid for П-module sequences allows us to determine the key positions of the hydrophobic, hydrophilic, and glycine residues.
对含有OB-fold的大量非同源蛋白结构П-modules进行了立体化学分析。该模块由两条β链组成,由一个环连接,并以一种看起来像希腊字母П的方式放置在不同的薄片上。从属于16个OB-fold超家族的265个合适结构中选择了70个分辨率不小于2.5Å的非同源蛋白进行分析。我们公开了两种类型的П-modules:第一种是含有α-螺旋的连接环,第二种是没有螺旋的连接环。蛋白链进入第二β-片的构象为βββαLβp。在大多数情况下,85%的α-位置被甘氨酸残基占据,而在环的入口处不存在这些残基。得到了П-modules的占用频率与回路长度的关系。各模块结构的空间路径叠加良好。П-module序列的氨基酸结构比对使我们能够确定疏水、亲水性和甘氨酸残基的关键位置。
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引用次数: 0
Extracting Factual Information about the Pandemic from Open Internet Sources 从开放的互联网资源中提取有关大流行的事实信息
Q3 Mathematics Pub Date : 2022-12-04 DOI: 10.17537/2022.17.423
E. Akulinina, A. Karmanov, N. A. Teplykh, V. Vlasov, V. Baluta, S. S. Varykhanov, A. Karandeev, V. Osipov, Y. Rykov, B. Chetverushkin
A large number of different source data is needed for multi-agent models of the spread of infectious diseases. Most of them are not directly accessible. Therefore, one of the key problems to design such models is the development of tools for obtaining data from various sources. This article presents approaches that allow to extract the values of the parameters of the functioning of the simulated society and statistical data on the development of the pandemic from text messages published in the Internet. The proposed method and software implementation provide intelligent search of open source information in the Internet and process of unstructured data. The data collected this way used to set up parameters of mathematical model, which provides ability to study various scenarios and predict progress of the epidemic in concrete regions. The emphasis of the proposed approach is placed on two main technologies. The first is the use of regular expressions. The second is analysis using machine learning methods. The use of the regular expression method allows for high-speed text processing, but its applicability is limited by a strong dependence on the context. Machine learning allows to adapt the information context of the message, but at the same time there is a relatively large amount of time spent on analysis. To improve the accuracy of the analysis and to level the shortcomings of each of these approaches, ways of combining these technologies are proposed. The article presents the obtained results of optimization of algorithms for obtaining the necessary data.
传染病传播的多主体模型需要大量不同来源的数据。其中大多数都不能直接访问。因此,设计此类模型的关键问题之一是开发从各种来源获取数据的工具。本文介绍了从互联网上公布的短信中提取模拟社会功能参数值和大流行发展统计数据的方法。所提出的方法和软件实现提供了互联网中开源信息的智能搜索和非结构化数据的处理。该方法收集的数据用于建立数学模型的参数,为研究各种情景和预测具体地区的疫情进展提供了能力。所提出的方法的重点放在两个主要技术上。首先是正则表达式的使用。第二种是使用机器学习方法进行分析。正则表达式方法的使用允许高速文本处理,但其适用性受到对上下文的强烈依赖的限制。机器学习允许调整消息的信息上下文,但同时在分析上花费了相对大量的时间。为了提高分析的准确性和弥补每种方法的不足,提出了将这些技术结合起来的方法。本文给出了获得所需数据的算法优化的结果。
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引用次数: 0
Two Approaches to Modeling Phytoplankton Biomass Dynamics Based on the Droop Model 基于下垂模型的浮游植物生物量动态建模的两种方法
Q3 Mathematics Pub Date : 2022-11-30 DOI: 10.17537/2022.17.401
A. Abakumov, S. Pak
This work continues the study of the Droop model based on the concept of cell quota. Description of the photosynthetic processes in phytoplankton includes in the model structure. The concept of chlorophyll quota is used. It is the proportion of photosynthetic substances in plant cells. In addition to the chlorophyll quota, the photosynthetic activity of phytoplankton is determined by external conditions, primarily by the level of photosynthetically active radiation (PAR). The model is based on separating the dependence of phytoplankton reproduction on external conditions according to the stages of photosynthesis. The light stage is largely determined by the PAR, and the dark stage is limited by the nutrient resource under the controlling influence of the temperature of the aquatic environment. In order to develop the model, the storage of energy in the light stage of photosynthesis is described in detail. Energy is stored in the form of energy-intensive substances in macroergic molecules (macroergs). The most common cell macroerg is adenosine triphosphate (ATP). The proportion of ATP in phytoplankton varies depending on the light regime and on the energy amount stored in the dark stage. The model includes the Droop kinetics and equations for the dynamics of the chlorophyll quota and the ATP pool. The conditions for the existence and stability of equilibrium solutions are compared for the same values of parameters common to both models. The greatest influence on the dynamic modes of the minimum value of the cell quota has been established. The proportion of biomass associated with the light period of photosynthesis is also significant. For the first model that is the biomass produced during daylight hours. And in terms of the second model, it is the biomass formed due to the energy of ATP stored in the light phase. The influence of the structure of dynamic models on the daily and annual dynamics of phytoplankton was revealed. Scenarios of behavior of models under various lighting conditions, including constant and periodically changing lighting, have been studied.
这项工作继续研究基于细胞配额概念的下垂模型。浮游植物光合作用过程的描述包括在模型结构中。采用了叶绿素配额的概念。它是植物细胞中光合物质的比例。除了叶绿素配额外,浮游植物的光合活性还取决于外部条件,主要是光合有效辐射(PAR)水平。该模型的基础是根据光合作用的阶段分离浮游植物繁殖对外部条件的依赖。光照期在很大程度上由PAR决定,暗期在水环境温度的控制影响下受营养资源的限制。为了建立该模型,详细描述了光合作用光期能量的储存。能量以能量密集物质的形式储存在巨能分子(macroergs)中。最常见的细胞巨能是三磷酸腺苷(ATP)。浮游植物中ATP的比例取决于光照条件和黑暗阶段储存的能量。该模型包括下垂动力学和叶绿素配额和ATP池的动力学方程。比较了两种模型在相同参数值下平衡解的存在性和稳定性条件。确定了小区定额最小值对动态模态的最大影响。与光合作用光期相关的生物量比例也很显著。第一个模型是白天产生的生物量。在第二个模型中,它是由于ATP储存在光相中的能量而形成的生物量。揭示了动态模型结构对浮游植物日动态和年动态的影响。研究了模型在各种光照条件下的行为,包括恒定和周期性变化的光照。
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引用次数: 0
Problems of Quantum-Classical Modeling Of the Primary Photoreaction in Rhodopsin 紫红质原生光反应的量子-经典模拟问题
Q3 Mathematics Pub Date : 2022-11-30 DOI: 10.17537/2022.17.360
A. S. Shigaev, I. V. Lihachev, V. Lakhno
A modified model of the primary photoreaction in rhodopsin, cis-trans photoisomerization of the chromophore (retinal), is studied. The quantum subsystem of the model includes three vibronic states: the ground state, the excited state, and the ground state of the primary photoproduct. These states correspond to three point masses in the classical subsystem. The modification consists in the exponential dependence of the electronic-vibrational coupling constant on the displacement of point masses. The properties of the optimal loci of the multiparameter space, which characterized by the best agreement with the experimental data, are studied. A rather small “multidimensional volume” of these loci shown in all ranges of the used values of the model parameters. Several ways to optimize the quantum-classical model of rhodopsin photoisomerization have been proposed.
研究了一种改进的视紫红质初级光反应模型,即发色团(视网膜)的顺-反光异构化。该模型的量子子系统包括基态、激发态和初级光产物基态三个振动态。这些状态对应于经典子系统中的三个质点。修正在于电子-振动耦合常数与点质量位移的指数依赖关系。研究了与实验数据最吻合的多参数空间的最优轨迹的性质。在模型参数使用值的所有范围内,这些位点的“多维体积”相当小。提出了几种优化视紫红质光异构量子经典模型的方法。
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引用次数: 0
Estimation of Oxygen and Glucose Concentration Distribution in the Rat Brain Arterial System 大鼠脑动脉系统氧和葡萄糖浓度分布的估计
Q3 Mathematics Pub Date : 2022-11-30 DOI: 10.17537/2022.17.386
V. Kopylova, S. Boronovskiy, Y. Nartsissov
Glucose and oxygen concentration gradients are the key indicators that form the trophic tissue supply in mammalian brain. To describe them in detail it is essential to combine the solution of both hemodynamics and the convection-diffusion-reaction problems in the tissue. Visualization of spatio-temporal distributions of the metabolites noted above can be carried out both using the gradients themselves and the corresponding probability density functions. In the case of considering large parts of the brain, as well as the entire organ as a whole, the second method for metabolite heterogeneity description is of greater interest for practical purposes. This paper presents an approach to obtain a probability density functions based on structural segmentation of the diffusion region using Delaunay triangulation and the spherical source diffusion field method. It is shown that the average values of the estimated distributions deviate by 8 % from the experimentally obtained results and it corresponds to the best match during the validation by the finite element method in the triangulation simplices of basic topology. Given the relatively low computational complexity of both the segmentation process and the estimation of concentration in a single segment, the proposed method to obtain integral distributions of various compounds, in particular glucose and oxygen, can be used as an affordable alternative to precise calculation of the concentration gradients in the whole brain and its distinct anatomical structures.
葡萄糖和氧气浓度梯度是构成哺乳动物脑营养组织供应的关键指标。为了详细描述它们,必须结合血流动力学和组织中的对流-扩散-反应问题的解决方案。上述代谢物时空分布的可视化既可以使用梯度本身,也可以使用相应的概率密度函数。在考虑大脑的大部分以及整个器官作为一个整体的情况下,代谢物异质性描述的第二种方法在实际目的上更有意义。本文提出了一种基于Delaunay三角剖分法和球面源扩散场法对扩散区域进行结构分割的概率密度函数获取方法。结果表明,估计分布的平均值与实验结果相差8%,在基本拓扑的三角剖分简式中,它与有限元法验证时的最佳匹配相对应。考虑到分割过程和单个片段中浓度估计的计算复杂度相对较低,所提出的方法可以获得各种化合物的积分分布,特别是葡萄糖和氧,可以作为精确计算全脑及其不同解剖结构中的浓度梯度的一种经济实惠的替代方法。
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引用次数: 1
Identification of Novel miRNAs Involved in Cancer Progression and Metastasis in Clear Cell Renal Cell Carcinoma 透明细胞肾细胞癌中参与肿瘤进展和转移的新型mirna的鉴定
Q3 Mathematics Pub Date : 2022-11-25 DOI: 10.17537/2022.17.338
R. H. Hamoode, T. A. Rafaa, R. H. Abduljaleel, A. Suleiman
MicroRNAs are non-coding molecules 21–23 nucleotides long that are involved in post-transcriptional regulation of gene expression by mRNA silencing. There is evidence that miRNA activity is associated with various types of human cancer, such as breast cancer, colorectal cancer, ovarian cancer and hepatocellular carcinoma, as well as with clear cell renal cell carcinoma. In 2020, the incidence of kidney cancer worldwide was 319,016. Clear cell renal cell carcinoma is associated with loss or mutation of the VHL gene. The aim of this study was to identify miRNAs that are expressed differently in samples of normal kidney tissue and tissue affected by clear cell renal cell carcinoma. For this study, a public miRNA dataset from ArrayExpress was obtained and post-processed. Mapping, identification of known and new microRNAs, and quantification were performed using the miRDeep2 computer program from the DESeq R/Bioconductor package. We performed target identification and functional load analysis using GeneCodis4. A total of 2656 miRNAs were found to be differentially expressed, of which 229 miRNAs were overexpressed and 302 were underexpressed. In this study, we identified five miRNAs that were already known from the literature to be significantly associated with clear cell renal cell carcinoma. In addition, we found a set of five microRNAs that had not previously associated with clear cell renal cell carcinoma.
microrna是非编码分子,长21-23个核苷酸,通过mRNA沉默参与转录后基因表达调控。有证据表明,miRNA活性与多种类型的人类癌症有关,如乳腺癌、结直肠癌、卵巢癌和肝细胞癌,以及透明细胞肾细胞癌。2020年,全球肾癌发病率为319016例。透明细胞肾细胞癌与VHL基因的缺失或突变有关。本研究的目的是鉴定在正常肾组织和透明细胞肾细胞癌组织样本中表达不同的mirna。在这项研究中,从ArrayExpress获得了一个公开的miRNA数据集并进行了后处理。使用DESeq R/Bioconductor软件包中的miRDeep2计算机程序对已知和新的microrna进行制图、鉴定和定量。我们使用GeneCodis4进行了目标识别和功能负载分析。共发现2656个mirna差异表达,其中229个mirna过表达,302个mirna过表达。在这项研究中,我们从文献中发现了五种与透明细胞肾细胞癌显著相关的mirna。此外,我们还发现了一组5个microrna,这些microrna以前与透明细胞肾细胞癌没有关联。
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引用次数: 0
Linkage Disequilibrium in Targeted Sequencing 靶向测序中的连锁不平衡
Q3 Mathematics Pub Date : 2022-11-22 DOI: 10.17537/2022.17.325
D. Romanov, N. Skoblikow
We propose an approach for optimizing the development of gene diagnostic panels, which is based on the construction of non-equilibrium linkage maps. In the process of gene selection we essentially use genome-wide association analysis (GWAS). Whole-genome analysis of associations makes it possible to reveal the relationship of genomic variants with the studied phenotype. However, the nucleotide variants that showed the highest degree of association can only be statistically associated with the phenotype, not being the true cause of the phenotype. In this case, they may be in the block of linked inheritance with nucleotide variants that really affect the manifestation of the phenotype. The construction of maps of non-equilibrium linkage of nucleotides makes it possible to optimally determine the boundaries of linkage blocks, in which the desired variants fall. The aim of this study was to optimize the demarcation of genomic loci to create targeted panels aimed at predicting susceptibility to SARS-CoV-2 and the severity of COVID-19. The proposed method for selecting loci for a target panel, taking into account nonequilibrium linkage, makes it possible to use the phenomenon of nonequilibrium linkage in order to maximally cover the regions involved in the development of the phenotype, while simultaneously minimizing the length of these regions, and, at the same time, the cost of sequencing.
本文提出了一种基于非平衡连锁图谱构建的基因诊断面板优化开发方法。在基因选择过程中,我们主要使用全基因组关联分析(GWAS)。全基因组关联分析使得揭示基因组变异与所研究表型的关系成为可能。然而,显示出最高关联程度的核苷酸变异只能在统计学上与表型相关,而不是表型的真正原因。在这种情况下,它们可能位于与核苷酸变异相关的遗传块中,而核苷酸变异真正影响了表型的表现。核苷酸的非平衡连锁图谱的构建使其有可能以最佳方式确定连锁块的边界,其中期望的变体落在。本研究的目的是优化基因组位点的划分,以创建旨在预测SARS-CoV-2易感性和COVID-19严重程度的靶向小组。所提出的选择靶板基因座的方法考虑了非平衡连锁,使得利用非平衡连锁现象来最大限度地覆盖涉及表型发展的区域成为可能,同时最小化这些区域的长度,同时降低测序成本。
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引用次数: 0
Construction of Complex Three-Dimensional Structures of the Aorta of a Particular Patient Using Finite Analytical Formulas 用有限解析公式构建特定患者主动脉的复杂三维结构
Q3 Mathematics Pub Date : 2022-11-18 DOI: 10.17537/2022.17.312
A. Medvedev
We have developed a method for constructing the geometry of a morphologically realistic human aorta, including the aortic root (Valsalva sinus), thoracic aorta, aortic arch with branches, abdominal aorta with bifurcation vessels. The creation of a three-dimensional model of the human aorta is necessary when planning surgical interventions, when performing numerical modeling of blood flow in the aorta. The anatomical structure of the aorta differs in different patients, especially in the presence of various pathologies (aneurysms, stenoses, aortic dissection). Creation of an individual human aorta model based on MRI, CT images requires time-consuming manual work of a highly computer skilled specialist. Presented is a simple method of building a 3D model of the human aorta. Initially, a 3D model of the aorta (or selected section of the aorta) of one patient is created. For this purpose, an analytical 3D model of this aorta is constructed from the raw model of the aorta. To build such an analytical aorta, it is necessary to divide the aorta into characteristic sections and specify defining parameters for each section. To build a model of another patient's aorta, a base model is taken and adjusted based on the individual features of the patient's aorta structure. At that, areas of pathology (stenoses and aneurysms) are added if necessary. Correction of the basic model requires much less time and effort than creating an aortic model of a particular patient from scratch. One of the key features of the technique is ease of use, eliminating the monotonous manual labor of building an individual patient's aorta. The resulting three-dimensional model of the aorta is fully ready for 3D modeling and printing on a 3D printer. Sections of the aorta are docked with the second order of smoothness (continuous second derivative between sections of the constructed aorta).
我们已经开发了一种构造形态学上真实的人类主动脉的几何结构的方法,包括主动脉根(Valsalva窦),胸主动脉,主动脉弓分支,腹主动脉分支血管。在计划手术干预时,在对主动脉血流进行数值模拟时,建立人体主动脉的三维模型是必要的。不同患者的主动脉解剖结构不同,特别是存在各种病理(动脉瘤、狭窄、主动脉夹层)时。基于MRI、CT图像创建个人主动脉模型需要高度精通计算机的专家耗时的手工工作。提出了一种建立人体主动脉三维模型的简单方法。首先,创建一个患者的主动脉(或主动脉的选定部分)的3D模型。为此,在主动脉原始模型的基础上,构建主动脉的三维分析模型。为了构建这样的分析主动脉,有必要将主动脉划分为特征切片,并为每个切片指定定义参数。为了建立另一个患者的主动脉模型,需要根据患者主动脉结构的个体特征取一个基础模型并进行调整。在那里,必要时添加病理区域(狭窄和动脉瘤)。与从头开始创建一个特定患者的主动脉模型相比,修改基本模型所需的时间和精力要少得多。该技术的主要特点之一是易于使用,消除了建立单个患者主动脉的单调体力劳动。由此产生的主动脉三维模型完全可以在3D打印机上进行3D建模和打印。主动脉的各部分以二级平滑度对接(构建的主动脉各部分之间的连续二阶导数)。
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引用次数: 0
On Classification and Taxonomy of Coronaviruses (Riboviria, Nidovirales, Coronaviridae) with Special Focus on Severe Acute Respiratory Syndrome-Related Coronavirus 2 (SARS-CoV-2) 冠状病毒(核糖病毒科、尼多病毒科、冠状病毒科)的分类与分类学研究——以SARS-CoV-2为重点
Q3 Mathematics Pub Date : 2022-11-16 DOI: 10.17537/2022.17.289
E. Mavrodiev, M. Tursky, N. E. Mavrodiev, L. Schroder, A. Laktionov, M. Ebach, D. Williams
Coronaviruses are highly virulent and therefore important human and veterinary pathogens worldwide. This study presents the first natural hierarchical classification of Coronaviridae. We also demonstrate a “one-step” solution to incorporate the principles of binomial (binary) nomenclature into taxonomy of Coronaviridae. We strongly support the complete rejection of the non-taxonomic category “virus” in any future taxonomic study in virology. This will aid future recognition of numerous virus species, particularly in the currently monotypic subgenus Sarbecovirus. Commenting on the nature of SARS-CoV-2, the authors emphasize that no member of the Sarbecovirus clade is an ancestor of this virus, and humans are the only natural known host.
冠状病毒毒性很强,因此是世界范围内重要的人类和兽医病原体。这项研究首次提出了冠状病毒科的自然等级分类。我们还展示了一种“一步”解决方案,将二项命名法的原则纳入冠状病毒科的分类学。我们强烈支持在今后的病毒学分类研究中完全摒弃非分类范畴“病毒”。这将有助于未来识别许多病毒种类,特别是目前单一亚型的Sarbecovirus亚属。在评论SARS-CoV-2的性质时,作者强调,Sarbecovirus分支的任何成员都不是该病毒的祖先,人类是唯一已知的自然宿主。
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引用次数: 0
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Mathematical Biology and Bioinformatics
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