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In-silico Elucidation of the Role of ABC-Transporter Genes Expression Regulation by OncomiRs (miR-21, miR-15, and miR-let-7) in Drug Efflux and Chemoresistance in Breast Cancer 肿瘤受体(miR-21、miR-15和miR-let-7)调控abc转运体基因表达在乳腺癌药物外排和化疗耐药中的作用
Q3 Mathematics Pub Date : 2023-05-28 DOI: 10.17537/2023.18.128
B. Khalaf, A. Suleiman, M. Suwaid
Breast cancer is the most common and aggressive malignancy in females with a high prevalence rate of 77.9 million worldwide. Chemotherapy and tyrosine kinase inhibitors have been used to treat invasive and malignant tumors; however, invasive tumors have showed resistance to conventional therapies. ABC transporters play a crucial role in breast cancer due to their chemo-resistance and drug efflux abilities. Additionally, chemo-resistant roles of ABC transporters have been reported in several cancers such as cervical cancer, colon cancer, esophageal squamous cell carcinoma, glioma and HCC. The goal of this study was to identify the tumor suppressor role of miR-21, miR-15 and miR-let-7 to chemo-resistant genes majorly ABCA1, ABCB1 and ABCC1 in breast cancer. TargetScan, miRWalk, and miRDB were employed to predict microRNA-mRNA interactions. MC-Sym and RNAComposer were utilized for the tertiary structure prediction of shortlisted miRNAs and mRNAs. For molecular docking and visualization, HDOCK and PyMOL were employed. The present study identified 10, 7 and 13 interactions between microRNAs (miR-21, miR-15, and miR-let-7) and oncogenes (ABCA1, ABCB1, ABCC1) through miRWalk, miRDB and TargetScan respectively. RNA22 predicted the binding sites of microRNAs such as 22 miR-21, 11 miR-15 and 58 miR-let-7 on ABCA1, ABCB1 and ABCC1, respectively. Out of multiple docked complexes, the top 3 were shortlisted for visualization based on maximum confidence score and least binding affinity. The present study identifies the interactions of two novel (miR-15a-5p and let-7c-5p) microRNAs with ABCA1, ABCB1 and ABCC1 regions due to their maximum interactions. The findings of this research may help in developing miRNA drugs that could target ABC transporters specifically ABCA1, ABCB1 and ABCC1 to inhibit increased drug efflux and chemoresistance in breast cancer.
乳腺癌是女性中最常见和最具侵袭性的恶性肿瘤,全球患病率高达7790万。化疗和酪氨酸激酶抑制剂已被用于治疗侵袭性和恶性肿瘤;然而,侵袭性肿瘤已经显示出对常规治疗的耐药性。ABC转运蛋白由于其耐化疗和药物外排能力在乳腺癌中起着至关重要的作用。此外,ABC转运蛋白在宫颈癌、结肠癌、食管鳞状细胞癌、胶质瘤和HCC等多种癌症中的耐药作用也有报道。本研究的目的是确定miR-21、miR-15和miR-let-7在乳腺癌中对化疗耐药基因(主要是ABCA1、ABCB1和ABCC1)的抑瘤作用。TargetScan、miRWalk和miRDB被用来预测microRNA-mRNA的相互作用。利用MC-Sym和RNAComposer对入围的mirna和mrna进行三级结构预测。分子对接和可视化采用HDOCK和PyMOL。本研究通过miRWalk、miRDB和TargetScan分别鉴定了microrna (miR-21、miR-15和miR-let-7)与癌基因(ABCA1、ABCB1、ABCC1)之间的10、7和13种相互作用。RNA22分别预测了22 miR-21、11 miR-15和58 miR-let-7等microrna在ABCA1、ABCB1和ABCC1上的结合位点。在多个对接配合物中,根据最大置信度评分和最小结合亲和力,将前3名列入可视化候选名单。本研究确定了两种新型microrna (miR-15a-5p和let-7c-5p)与ABCA1、ABCB1和ABCC1区域的相互作用,因为它们的相互作用最大。本研究结果可能有助于开发靶向ABC转运蛋白ABCA1、ABCB1和ABCC1的miRNA药物,以抑制乳腺癌中增加的药物外排和化疗耐药。
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引用次数: 1
Exploiting ensemble learning and negative sample space for predicting extracellular matrix receptor interactions 利用集成学习和负样本空间预测细胞外基质受体相互作用
Q3 Mathematics Pub Date : 2023-04-24 DOI: 10.17537/2023.18.113
A. Nath, Sudama Rathore, Pangambam Sendash Singh
The extracellular matrix (ECM) is best described as a dynamic three-dimensional mesh of various macromolecules. These include proteoglycans (e.g., perlecan andagrin), non-proteoglycan polysaccharides (e.g., hyaluronan), and fibrous proteins (e.g., collagen, elastin, fibronectin, and laminin). ECM proteins are involved in various biological functions and their functionality is largely governed by interaction with other ECM proteins as well as trans-membrane receptors including integrins, proteoglycans such assyndecan, other glycoproteins, and members of the immunoglobulin superfamily. In the present work, a machine learning approach is developed using sequence and evolutionary features for predicting ECM protein-receptor interactions. Two different feature vector representations, namely fusion of feature vectors and average of feature vectors are used within corporation of the best representation employing feature selection. The current results show that the feature vector representation is an important aspect of ECM protein interaction prediction, and that the average of feature vectors performed better than the fusion of feature vectors. The best prediction model with boosted random forest resulted in 72.6 % overall accuracy, 74.4 % sensitivity and 70.7 % specificity with the 200 best features obtained using the ReliefF feature selection algorithm. Further, a comparative analysis was performed for negative sample subset selection using three sampling methods, namely random sampling, k-Means sampling, and Uniform sampling. k-Means based representative sampling resulted in enhanced accuracy (75.5 % accuracy with 80.8 % sensitivity, 68.1 % specificity and 0.801 AUC) for the prediction of ECM protein-receptor interactions in comparison to the other sampling methods. On comparison with other three state of the art protein-protein interaction predictors, it is observed that the latter displayed low sensitivity but higher specificity. The current work presents the first machine learning based prediction model specifically developed for ECM protein-receptor interactions.
细胞外基质(ECM)最好被描述为各种大分子的动态三维网格。这些包括蛋白聚糖(例如,perlecan和agrin),非蛋白聚糖多糖(例如,透明质酸)和纤维蛋白(例如,胶原蛋白,弹性蛋白,纤维连接蛋白和层粘连蛋白)。ECM蛋白参与多种生物功能,其功能在很大程度上取决于与其他ECM蛋白以及跨膜受体的相互作用,包括整合素、蛋白聚糖(如亚syndecan)、其他糖蛋白和免疫球蛋白超家族成员。在目前的工作中,利用序列和进化特征开发了一种机器学习方法来预测ECM蛋白质-受体相互作用。在采用特征选择的最佳表示中,采用了两种不同的特征向量表示,即特征向量融合和特征向量平均。目前的研究结果表明,特征向量表示是ECM蛋白相互作用预测的一个重要方面,并且特征向量的平均优于特征向量的融合。使用ReliefF特征选择算法获得的200个最佳特征,增强随机森林的最佳预测模型的总体准确率为72.6%,灵敏度为74.4%,特异性为70.7%。并对随机抽样、k均值抽样和均匀抽样三种抽样方法的负样本子集选择进行了比较分析。与其他抽样方法相比,基于k均值的代表性抽样结果提高了预测ECM蛋白-受体相互作用的准确性(准确率为75.5%,灵敏度为80.8%,特异性为68.1%,AUC为0.801)。在与其他三种最先进的蛋白质-蛋白质相互作用预测因子的比较中,观察到后者显示出低灵敏度但更高的特异性。目前的工作提出了第一个专门为ECM蛋白质-受体相互作用开发的基于机器学习的预测模型。
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引用次数: 0
Design of a Molecular Dynamics Model for High-Performance Computing of Conformational Changes in Microtubule Protofilaments Associated with the Anticancer Drug Taxol 抗癌药物紫杉醇相关微管原丝构象变化的高性能计算分子动力学模型设计
Q3 Mathematics Pub Date : 2023-04-02 DOI: 10.17537/2023.18.105
V. Fedorov, E. G. Kholina, M. Bulatov, I. Kovalenko
Molecular dynamics models of tubulin tetramers in complex with the anticancer drug taxol were created based on high-resolution spatial structures (PDB ID 3J6G). We tested performance of various computational architectures in molecular dynamics calculations of tubulin tetramers. We revealed the optimal computer architecture and carried out three 1 μs molecular dynamic trajectories of taxol-bound tubulin tetramer. We analyzed the conformational flexibility of tubulin tetramers in a complex with taxol, calculated the Euler angles for intra- and inter-dimer interfaces of the protofilament, as well as the degree and direction of protofilament bending. The stiffness of protofilaments was studied using the energy equipartition theorem. The results allowed us to conclude that taxol binding reduces stiffness at both the inter- and intra-dimer interfaces, which may facilitate the process of microtubule assembly.
基于高分辨率空间结构(PDB ID 3J6G)建立了微管蛋白四聚体与抗癌药物紫杉醇复合物的分子动力学模型。我们测试了各种计算架构在微管蛋白四聚体分子动力学计算中的性能。我们设计了最优的计算机结构,并对紫杉醇结合的微管蛋白四聚体进行了3个1 μs的分子动力学轨迹。我们分析了微管蛋白四聚体在紫杉醇配合物中的构象柔韧性,计算了原丝内和间二聚体界面的欧拉角,以及原丝弯曲的程度和方向。利用能量均分定理研究了原丝的刚度。结果表明,紫杉醇的结合降低了二聚体之间和内部界面的刚度,这可能有助于微管的组装过程。
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引用次数: 0
Modeling of Bacterial Communication in the Extended Range of Population Dynamics 扩展种群动态范围内细菌传播的建模
Q3 Mathematics Pub Date : 2023-03-29 DOI: 10.17537/2023.18.89
Y. Shuai, A. Maslovskaya, C. Kuttler
”Quorum sensing” as a special kind of communication in bacterial populations can be analyzed by means of methods and techniques of mathematical modeling and computer simulation. In the present study, a modification of a deterministic mathematical model of bacterial quorum sensing is proposed, taking into account the law of multiphase population dynamics. The mathematical model is formalized by an initial-boundary value problem for a system of semilinear reaction-diffusion partial differential equations. The equations include generation terms in view of changes in the biomass density. The model describes space-time dynamics of concentrations of special substances (signaling agents and Lactonase enzymes) that characterize the quorum sensing in Gram-negative bacteria. The problem is solved by means of the finite element method using the COMSOL Multiphysics platform. Computational experiments are performed to estimate concentrations of key substances characterizing quorum sensing for Pseudomonas putida bacterial strains in an expanded range of population dynamics.
“群体感应”作为细菌群体中一种特殊的交流方式,可以用数学建模和计算机模拟的方法和技术进行分析。在本研究中,提出了一种修正的确定性数学模型的细菌群体感应,考虑到多相种群动态规律。用半线性反应扩散偏微分方程组的初边值问题形式化了数学模型。考虑到生物量密度的变化,方程中包括了生成项。该模型描述了表征革兰氏阴性菌群体感应的特殊物质(信号剂和内酯酶)浓度的时空动力学。利用COMSOL多物理场平台,采用有限元方法解决了这一问题。计算实验进行估计的关键物质的浓度特征的群体感应的恶臭假单胞菌菌株在扩大范围内的种群动态。
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引用次数: 1
Cancer Therapeutics: Structure-Based Drug Design of Inhibitors for a Novel Angiogenic Growth Factor 癌症治疗:一种新型血管生成生长因子抑制剂的基于结构的药物设计
Q3 Mathematics Pub Date : 2023-03-26 DOI: 10.17537/2023.18.72
Navaneetha Nambigari
Angiogenesis, the formation of new blood vessels, is a critical and rate-limiting tumor growth step controlled by pro-angiogenic factors and specific inhibitors. Tumor angiogenesis is essential for cancer progression and metastasis. Platelet growth factors (PDGF) and their receptors (PDGFR) are associated with tumor angiogenesis through overexpression of PDGF. Inhibition of PDGF and its signaling pathway is a new approach to the discovery of anticancer therapeutic agents. The present study focuses on the PDGF-C protein in the identification of novel anti-angiogenic compounds. MODELLER 9.10 software allows users to create and refine a 3D homology model of the PDGF-C protein (345 a.a. length). Secondary structure analysis of the 3D energy model reveals 16 β sheets held together by four cation–π and one π–σ interactions, and three salt bridges. The quality of the model is assessed using the Ramachandran plot (90 percent amino acids in the favorable region) and the ProSA server (Z-score = –2.28). Active site residues are identified using Castp, QSite search engine, site map, and protein docking of the protein to its receptor. In addition, virtual screening is performed at the active site using the Glide module of the Schrodinger Suite. Glide score, glide energy and ADME are being measured to discover new benefits of pyrazolone and pyrrolidine-2,3-dione scaffolds as potent PDGF-C antagonists for anti-angiogenic cancer chemotherapy drugs.
血管生成,即新血管的形成,是肿瘤生长的关键和限速步骤,受促血管生成因子和特异性抑制剂控制。肿瘤血管生成是肿瘤进展和转移的必要条件。血小板生长因子(PDGF)及其受体(PDGFR)通过PDGF的过表达与肿瘤血管生成相关。抑制PDGF及其信号通路是发现抗癌药物的新途径。本研究主要关注PDGF-C蛋白在新型抗血管生成化合物鉴定中的应用。MODELLER 9.10软件允许用户创建和完善PDGF-C蛋白(345 a.a.长度)的3D同源模型。三维能量模型的二级结构分析揭示了由4个阳离子-π和1个π -σ相互作用结合在一起的16个β片和3个盐桥。使用Ramachandran图(90%的氨基酸在有利区域)和ProSA服务器(Z-score = -2.28)评估模型的质量。利用Castp、QSite搜索引擎、位点图和蛋白与受体的对接来鉴定活性位点残基。此外,使用薛定谔套件的Glide模块在活性部位进行虚拟筛选。为了发现吡唑酮和吡罗烷-2,3-二酮支架作为抗血管生成癌症化疗药物的强效PDGF-C拮抗剂的新益处,研究人员正在测量滑翔评分、滑翔能量和ADME。
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引用次数: 0
Numerical Modelling of Myocardial Infarction. I. Analysis of Spatiotemporal Aspects of the Local Inflammatory Response 心肌梗死的数值模拟。1 .局部炎症反应的时空分析
Q3 Mathematics Pub Date : 2023-03-02 DOI: 10.17537/2023.18.49
O. F. Voropaeva, Ch. A. Tsgoev
The results of numerical modelling of the necrotic death of myocardial cells and immune response dynamics in type II ischemic infarction are presented. The initial conditions were consistent with the experimental data. The adopted minimal mathematical model focused on the balance of pro- and anti-inflammatory factors of aseptic inflammation and their influence on the process of cardiomyocyte death. The issue of the formation of nonlinear dynamic structures in the adopted reaction-diffusion system of equations in the absence of convective terms has been examined. It is shown that a stable localization of the solution of the initial-boundary value problem within the spatial region of practically unchanged size is observed in a fairly wide range of parameters of the initial conditions set in the form of bell-shaped finite functions. Qualitative properties of solutions allow biological interpretation. Within the framework of the adopted model, we considered several important examples and, on this basis, described a typical scenario of a heart attack with a favorable outcome. We have studied the most general patterns of the formation of demarcation inflammation near a large necrosis focus in a typical acute infarction scenario, taking into account individual differences in the topology of the coronary vascular network and the topography of the infarction. The adequacy of the results is confirmed by quantitative and qualitative agreement with a fairly wide range of experimental data on the dynamics of infarction in the left ventricle of the mouse heart.
本文介绍了II型缺血性梗死中心肌细胞坏死死亡和免疫反应动力学的数值模拟结果。初始条件与实验数据一致。所采用的最小数学模型关注无菌性炎症的促炎因子和抗炎因子的平衡及其对心肌细胞死亡过程的影响。本文研究了在没有对流项的情况下所采用的反应扩散方程组中非线性动力结构的形成问题。结果表明,在以钟形有限函数形式设置的初始条件参数的相当大范围内,初始边值问题的解在大小几乎不变的空间区域内具有稳定的局域性。溶液的定性性质允许生物学解释。在采用的模型框架内,我们考虑了几个重要的例子,并在此基础上描述了一个典型的心脏病发作的有利结果。考虑到冠状动脉网络拓扑结构和梗死地形的个体差异,我们研究了典型急性梗死情景中大坏死灶附近划界炎症形成的最一般模式。结果的充分性通过定量和定性与相当广泛的关于小鼠左心室梗死动力学的实验数据的一致性得到证实。
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引用次数: 0
Proton Reaction Path in Base Pairs of DNA Molecule According to the Complete Active Space Self-Consistent Field Method 基于完全活动空间自洽场方法的DNA分子碱基对质子反应路径
Q3 Mathematics Pub Date : 2023-02-26 DOI: 10.17537/2023.18.33
K. Simon, A. V. Tulub
The double proton transfer reaction paths in AT and CG base pairs of DNA molecule are calculated in the Complete Active Space Self-Consistent Field method and compared with the same paths in Density Functional Theory with B3LYP approximation approach. We found that an essential increase of an activation energy, which significantly reduces the probability of spontaneous mutations in DNA via double proton transfer. There exist two transition points on the singlet potential energy surface divided by a flat region for GC base pair. The applicability of various quantum-chemical methods for description of double proton transfer reactions was discussed.
采用完全活动空间自洽场方法计算了DNA分子AT和CG碱基对的双质子转移反应路径,并采用B3LYP近似方法与密度泛函数理论中的相同路径进行了比较。我们发现活化能的基本增加,这大大降低了DNA通过双质子转移自发突变的可能性。GC碱基对的单线态势能面上有两个过渡点,两个过渡点由一个平坦区域划分。讨论了描述双质子转移反应的各种量子化学方法的适用性。
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引用次数: 0
Application of Virtual Screening and Molecular Modeling Technologies to Identify Potential SARS-CoV-2 Main Protease Inhibitors 应用虚拟筛选和分子建模技术鉴定潜在的SARS-CoV-2主要蛋白酶抑制剂
Q3 Mathematics Pub Date : 2023-02-22 DOI: 10.17537/2023.18.15
A. Andrianov, K. V. Furs, A. V. Gonchar, L.H. Aslanyan, A. Tuzikov
A virtual screening of the molecular library of biologically active compounds was carried out to identify potential inhibitors of SARS-CoV-2 main protease (Mpro) which plays an important role in the process of virus replication. Using molecular docking and molecular dynamics, the binding energy of these compounds to the catalytic site of the enzyme was assessed, resulting in six molecules that exhibited high chemical affinity for SARS-CoV-2 Mpro. This is evidenced by the low values of the binding free energy of the ligand/Mpro complexes comparable with those predicted for the potent non-covalent SARS-CoV-2 Mpro inhibitor using the identical computational protocol. Based on the data obtained, it was concluded that the identified compounds have a good therapeutic potential for inhibiting the catalytic activity of the enzyme and form promising basic structures for the development of new effective drugs against COVID-19.
对生物活性化合物分子文库进行虚拟筛选,以确定在病毒复制过程中起重要作用的SARS-CoV-2主蛋白酶(Mpro)的潜在抑制剂。利用分子对接和分子动力学方法,评估了这些化合物与酶催化位点的结合能,得到了6个对SARS-CoV-2 Mpro具有高化学亲和力的分子。配体/Mpro复合物的结合自由能值与使用相同计算方案预测的强效非共价SARS-CoV-2 Mpro抑制剂的结合自由能值相当,证明了这一点。基于所获得的数据,鉴定的化合物具有良好的抑制酶催化活性的治疗潜力,并为开发新的COVID-19有效药物形成了有希望的基本结构。
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引用次数: 0
Phylogeny and cross-regulation of the YjjM and LeuO transcription factors translated as multiple protein forms from one gene in Escherichia coli YjjM和LeuO转录因子在大肠杆菌中的系统发育和交叉调控
Q3 Mathematics Pub Date : 2023-01-31 DOI: 10.17537/2023.18.1
T. Bessonova, A. A. Rybina, D. Marakulina, A. Kaznadzey, M. Gelfand, O. Ozoline, M. Tutukina
Until recently, no examples of the in-frame translation of several proteins from one gene in bacteria were known. The first one was the VirF transcription factor controlling pathogenicity development in Shigella flexneri and CobB sirtuin in Salmonella enterica. Recently, we observed synthesis of shortened protein products for YjjM (LgoR) and LeuO functioning as transcription factors in Escherichia coli. To determine the evolutionary factors that could lead to the appearance of alternative start codons, we performed phylogenetic analysis and showed that each protein had a unique phylogenetic history, and additional starting methionines appeared only in Enterobacteria. Using the Western-blot analysis of proteins synthesized from the Escherichia coli K-12 MG1655 chromosome with the his-tagged leuO gene two shortened variants of LeuO, corresponding to translation starting from Met34 and Met48 were detected. Synthesis of all three LeuO forms was inhibited in the absence of the yjjM gene, suggesting interplay of these transcription factors. The YjjM recognition motif revealed from the ChIP-seq data appeared to be very similar to that of LeuO, known previously. Taking this into account, we compared ChIP and SELEX data for LeuO and YjjM and found six common targets. At least five of them were confirmed to be under control of these regulators by qRT-PCR. Interestingly, the effects were more prominent during anaerobic growth at 37°C simulating conditions inside a host organism. Two genes, coding for the enterobactin transporter FepA, and a repressor of genes responsible for flagellar biosynthesis and virulence YjjQ, were repressed, mainly by YjjM, only in these conditions, while tsr coding for the chemotaxis receptor protein was more repressed under lower temperature and higher aeration.
直到最近,还没有人知道细菌中一个基因的几个蛋白质在框内翻译的例子。第一个是控制福氏志贺氏菌致病性发展的VirF转录因子和控制肠沙门氏菌致病性发展的CobB sirtuin转录因子。最近,我们观察到在大肠杆菌中合成了YjjM (LgoR)和LeuO作为转录因子的缩短蛋白产物。为了确定可能导致替代启动密码子出现的进化因素,我们进行了系统发育分析,结果表明每种蛋白质都有独特的系统发育历史,并且额外的启动蛋氨酸仅在肠杆菌中出现。用Western-blot方法对大肠杆菌K-12 MG1655染色体上带有his标记的leuO基因合成的蛋白进行分析,检测到两个缩短的leuO变异体,对应于Met34和Met48的翻译。在缺乏yjjM基因的情况下,所有三种LeuO形式的合成都受到抑制,这表明这些转录因子相互作用。从ChIP-seq数据中揭示的YjjM识别基序似乎与先前已知的LeuO非常相似。考虑到这一点,我们比较了LeuO和YjjM的ChIP和SELEX数据,发现了六个共同的目标。经qRT-PCR证实,其中至少有5只在这些调控因子的控制下。有趣的是,在宿主生物体内37°C模拟条件下厌氧生长时,效果更为突出。编码肠obactin转运体FepA和负责鞭毛生物合成和毒力基因YjjQ的两个基因仅在这些条件下被YjjM抑制,而编码趋化受体蛋白的tsr在低温和高通风条件下受到更多抑制。
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引用次数: 0
Comparative Dynamics Analysis of Simple Mathematical Models of the Plankton Communities Considering Various Types of Response Function 考虑不同类型响应函数的浮游生物群落简单数学模型的动态比较分析
Q3 Mathematics Pub Date : 2022-12-19 DOI: 10.17537/2022.17.465
G. P. Neverova, O. Zhdanova
The paper proposes a two-component discrete-time model of the plankton community, taking into account features of the development and interaction of phytoplankton and zooplankton. To describe the interaction between these species and to compare the system dynamics, we use the following set of response functions: type II and III Holling function and the Arditi–Ginzburg response function, each of which describes trophic interactions between phytoplankton and zooplankton. An analytical and numerical study of the model proposed is made. The analysis shows that the variation of trophic functions does not change the dynamic behavior of the model fundamentally. The stability loss of nontrivial fixed point corresponding to the coexistence of phytoplankton and zooplankton can occur through a cascade of period-doubling bifurcations and according to the Neimark–Saker scenario, which allows us to observe the appearance of long-period oscillations representing the alternation of peaks and reduction in the number of species as a result of the predator-prey interaction. As well, the model has multistability areas, where a variation in initial conditions with the unchanged values of all model parameters can result in a shift of the current dynamic mode. Each of the models is shown to demonstrate conditional coexistence when a variation of the current community structure can lead to the extinction of the entire community or its part. Considering the characteristics of the species composition, the model with the type II Holling function seems a more suitable for describing the dynamics of the plankton community. Such a system is consistent with the idea that phytoplankton is a fast variable and predator dynamics is slow; thus, long-period fluctuations occur at high phytoplankton growth rates and low zooplankton ones. The model with the Arditi–Ginzburg functional response demonstrates quasi-periodic fluctuations in a narrow parametric aria with a high predator growth rate and low prey growth rate. The quasi-periodic dynamics regions in the model with the Holling type III functional response correspond to the conception of fast and slow variables, however in this case, the stability of the system increases, and the Neimark-Sacker bifurcation occurs even at a higher growth rate of zooplankton.
考虑浮游植物和浮游动物的发育和相互作用的特点,提出了浮游生物群落的双组分离散时间模型。为了描述这些物种之间的相互作用并比较系统动力学,我们使用了以下响应函数:II型和III型Holling函数和Arditi-Ginzburg响应函数,每个响应函数都描述了浮游植物和浮游动物之间的营养相互作用。对所提出的模型进行了分析和数值研究。分析表明,营养函数的变化不会从根本上改变模型的动力行为。根据neimmark - saker情景,与浮游植物和浮游动物共存相对应的非重要不动点的稳定性损失可以通过一系列倍周期分岔发生,这使我们能够观察到长周期振荡的出现,这些振荡代表了捕食者-猎物相互作用导致的峰值交替和物种数量减少。同时,该模型具有多稳定区,在初始条件发生变化且所有模型参数值不变的情况下,会导致当前动态模式发生移位。当当前社区结构的变化可能导致整个社区或其部分社区的灭绝时,每个模型都显示出条件共存。考虑到物种组成的特点,具有II型Holling函数的模型似乎更适合描述浮游生物群落的动态。这种系统与浮游植物是快速变化的,而捕食者的动态是缓慢的观点是一致的;因此,长周期波动发生在浮游植物生长速率高和浮游动物生长速率低的地方。具有Arditi-Ginzburg函数响应的模型在高捕食者生长率和低猎物生长率的窄参数区表现出准周期波动。模型中具有Holling III型功能响应的准周期动力学区域对应于快变量和慢变量的概念,但在这种情况下,系统的稳定性增加,即使在较高的浮游动物生长速率下也会发生neimmark - sacker分岔。
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引用次数: 0
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