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Reverse engineering of a mechanistic model of gene expression using metastability and temporal dynamics. 利用亚稳态和时间动力学的基因表达机制模型的逆向工程。
Q2 Medicine Pub Date : 2021-01-01 DOI: 10.3233/ISB-210226
Elias Ventre

Differentiation can be modeled at the single cell level as a stochastic process resulting from the dynamical functioning of an underlying Gene Regulatory Network (GRN), driving stem or progenitor cells to one or many differentiated cell types. Metastability seems inherent to differentiation process as a consequence of the limited number of cell types. Moreover, mRNA is known to be generally produced by bursts, which can give rise to highly variable non-Gaussian behavior, making the estimation of a GRN from transcriptional profiles challenging. In this article, we present CARDAMOM (Cell type Analysis from scRna-seq Data achieved from a Mixture MOdel), a new algorithm for inferring a GRN from timestamped scRNA-seq data, which crucially exploits these notions of metastability and transcriptional bursting. We show that such inference can be seen as the successive resolution of as many regression problem as timepoints, after a preliminary clustering of the whole set of cells with regards to their associated bursts frequency. We demonstrate the ability of CARDAMOM to infer a reliable GRN from in silico expression datasets, with good computational speed. To the best of our knowledge, this is the first description of a method which uses the concept of metastability for performing GRN inference.

分化可以在单细胞水平上建模为一个随机过程,由潜在的基因调控网络(GRN)的动态功能引起,驱动干细胞或祖细胞向一种或多种分化细胞类型。由于细胞类型的数量有限,亚稳态似乎是分化过程所固有的。此外,已知mRNA通常由爆发产生,这可能导致高度可变的非高斯行为,这使得从转录谱估计GRN具有挑战性。在这篇文章中,我们提出了CARDAMOM(从混合模型获得的scRna-seq数据进行细胞类型分析),这是一种从时间戳的scRna-seq数据推断GRN的新算法,它关键地利用了这些亚稳态和转录爆发的概念。我们表明,这种推断可以看作是与时间点一样多的回归问题的连续解决,在整个细胞集合的初步聚类之后,它们相关的突发频率。我们展示了CARDAMOM从计算机表达数据集推断可靠的GRN的能力,具有良好的计算速度。据我们所知,这是第一次描述使用亚稳态概念进行GRN推理的方法。
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引用次数: 6
Dynamical modeling of pro- and anti-inflammatory cytokines in the early stage of septic shock. 感染性休克早期促炎性和抗炎性细胞因子的动力学模型。
Q2 Medicine Pub Date : 2020-01-01 DOI: 10.3233/ISB-200474
J Tallon, B Browning, F Couenne, C Bordes, F Venet, P Nony, F Gueyffier, V Moucadel, G Monneret, M Tayakout-Fayolle

A dynamical model of the pathophysiological behaviors of IL18 and IL10 cytokines with their receptors is tested against data for the case of early sepsis. The proposed approach considers the surroundings (organs and bone marrow) and the different subsystems (cells and cyctokines). The interactions between blood cells, cytokines and the surroundings are described via mass balances. Cytokines are adsorbed onto associated receptors at the cell surface. The adsorption is described by the Langmuir model and gives rise to the production of more cytokines and associated receptors inside the cell. The quantities of pro and anti-inflammatory cytokines present in the body are combined to give global information via an inflammation level function which describes the patient's state. Data for parameter estimation comes from the Sepsis 48 H database. Comparisons between patient data and simulations are presented and are in good agreement. For the IL18/IL10 cytokine pair, 5 key parameters have been found. They are linked to pro-inflammatory IL18 cytokine and show that the early sepsis is driven by components of inflammatory character.

IL18和IL10细胞因子及其受体的病理生理行为的动力学模型是针对早期败血症病例的数据进行测试的。该方法考虑了周围环境(器官和骨髓)和不同的子系统(细胞和细胞因子)。血细胞、细胞因子和周围环境之间的相互作用通过质量平衡来描述。细胞因子被吸附在细胞表面的相关受体上。Langmuir模型描述了这种吸附,并在细胞内产生更多的细胞因子和相关受体。机体中存在的促炎性和抗炎性细胞因子的数量结合起来,通过炎症水平功能提供全局信息,该功能描述了患者的状态。参数估计数据来自败血症48 H数据库。在病人数据和模拟之间的比较提出,并在很好的协议。对于IL18/IL10细胞因子对,我们发现了5个关键参数。它们与促炎il - 18细胞因子有关,表明早期败血症是由炎症性成分驱动的。
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引用次数: 3
Moonlighting proteins - an approach to systematize the concept. 兼职蛋白质-一种系统化概念的方法。
Q2 Medicine Pub Date : 2020-01-01 DOI: 10.3233/ISB-190473
Maria Krantz, Edda Klipp

Moonlighting refers to a protein with at least two unrelated, mechanistically different functions. As a concept, moonlighting describes a large and diverse group of proteins which have been discovered in a multitude of organisms. As of today, a systematized view on these proteins is missing. Here, we propose a classification of moonlighting proteins by two classifiers. We use the function of the protein as a first classifier: activating - activating (Type I), activating - inhibiting (Type II), inhibiting - activating (Type III) and inhibiting - inhibiting (Type IV). To further specify the type of moonlighting protein, we used a second classifier based on the character of the factor that switches the function of the protein: external factor affecting the protein (Type A), change in the first pathway (Type B), change in the second pathway (Type C), equal competition between both pathways (Type D). Using a small two-pathway model we simulated these types of moonlighting proteins to elucidate possible behaviors of the types of moonlighting proteins. We find that, using the results of our simulations, we can classify the behavior of the moonlighting types into Blinker, Splitter andSwitch.

“兼职蛋白”指的是一种蛋白质至少具有两种不相关的、机械上不同的功能。作为一个概念,兼职描述了在众多生物体中发现的大量多样的蛋白质群。到目前为止,对这些蛋白质的系统化观点还没有形成。在这里,我们提出了一个由两个分类器的兼职蛋白分类。我们使用蛋白质的功能作为第一分类器:激活-激活(I型),激活-抑制(II型),抑制-激活(III型)和抑制-抑制(IV型)。为了进一步明确兼职蛋白质的类型,我们使用了基于改变蛋白质功能的因子的特征的第二分类器:影响蛋白质的外部因素(A型),第一途径的变化(B型),第二途径的变化(C型),两种途径之间的平等竞争(D型)。使用一个小型的双途径模型,我们模拟了这些类型的兼职蛋白,以阐明这些类型的兼职蛋白的可能行为。我们发现,利用我们的模拟结果,我们可以将兼职类型的行为分为Blinker, Splitter和switch。
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引用次数: 5
A computational model of bidirectional axonal growth in micro-tissue engineered neuronal networks (micro-TENNs). 微组织工程神经元网络(micro-TENNs)中轴突双向生长的计算模型。
Q2 Medicine Pub Date : 2020-01-01 DOI: 10.3233/ISB-180172
Toma Marinov, Haven A López Sánchez, Liang Yuchi, Dayo O Adewole, D Kacy Cullen, Reuben H Kraft

Micro-Tissue Engineered Neural Networks (Micro-TENNs) are living three-dimensional constructs designed to replicate the neuroanatomy of white matter pathways in the brain and are being developed as implantable micro-tissue for axon tract reconstruction, or as anatomically-relevant in vitro experimental platforms. Micro-TENNs are composed of discrete neuronal aggregates connected by bundles of long-projecting axonal tracts within miniature tubular hydrogels. In order to help design and optimize micro-TENN performance, we have created a new computational model including geometric and functional properties. The model is built upon the three-dimensional diffusion equation and incorporates large-scale uni- and bi-directional growth that simulates realistic neuron morphologies. The model captures unique features of 3D axonal tract development that are not apparent in planar outgrowth and may be insightful for how white matter pathways form during brain development. The processes of axonal outgrowth, branching, turning and aggregation/bundling from each neuron are described through functions built on concentration equations and growth time distributed across the growth segments. Once developed we conducted multiple parametric studies to explore the applicability of the method and conducted preliminary validation via comparisons to experimentally grown micro-TENNs for a range of growth conditions. Using this framework, the model can be applied to study micro-TENN growth processes and functional characteristics using spiking network or compartmental network modeling. This model may be applied to improve our understanding of axonal tract development and functionality, as well as to optimize the fabrication of implantable tissue engineered brain pathways for nervous system reconstruction and/or modulation.

微组织工程神经网络(Micro-TENNs)是一种活体三维构造物,旨在复制大脑白质通路的神经解剖结构,目前正被开发为轴突束重建的可植入微组织,或作为解剖学相关的体外实验平台。微型神经网由离散的神经元聚集体组成,这些神经元聚集体由微型管状水凝胶中长轴突束连接而成。为了帮助设计和优化微型天网的性能,我们创建了一个新的计算模型,其中包括几何和功能特性。该模型建立在三维扩散方程的基础上,包含大规模单向和双向生长,可模拟真实的神经元形态。该模型捕捉到了三维轴突束发育的独特特征,而这些特征在平面轴突生长中并不明显,它可能对大脑发育过程中白质通路的形成过程具有启发意义。每个神经元的轴突生长、分支、转向和聚集/捆绑过程都是通过基于浓度方程的函数和分布在各生长区段的生长时间来描述的。开发完成后,我们进行了多项参数研究,以探索该方法的适用性,并通过与一系列生长条件下实验生长的微神经元进行比较,进行了初步验证。利用这一框架,该模型可通过尖峰网络或分区网络建模来研究微天牛的生长过程和功能特征。该模型可用于提高我们对轴突束发育和功能的理解,以及优化用于神经系统重建和/或调节的可植入组织工程脑通路的制造。
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引用次数: 0
A hybrid multiscale model for investigating tumor angiogenesis and its response to cell-based therapy. 研究肿瘤血管生成及其对细胞治疗反应的混合多尺度模型。
Q2 Medicine Pub Date : 2019-01-01 DOI: 10.3233/ISB-170469
Melisa Hendrata, Janti Sudiono

Angiogenesis, a formation of blood vessels from an existing vasculature, plays a key role in tumor growth and its progression into cancer. The lining of blood vessels consists of endothelial cells (ECs) which proliferate and migrate, allowing the capillaries to sprout towards the tumor to deliver the needed oxygen. Various treatments aiming to suppress or even inhibit angiogenesis have been explored. Mesenchymal stem cells (MSCs) have recently been undergoing development in cell-based therapy for cancer due to their ability to migrate towards the capillaries and induce the apoptosis of the ECs, causing capillary degeneration. However, further investigations in this direction are needed as it is usually difficult to preclinically assess the efficacy of such therapy. We develop a hybrid multiscale model that integrates molecular, cellular, tissue and extracellular components of tumor system to investigate angiogenesis and tumor growth under MSC-mediated therapy. Our simulations produce angiogenesis and vascular tumor growth profiles as observed in the experiments. Furthermore, the simulations show that the effectiveness of MSCs in inducing EC apoptosis is density dependent and its full effect is reached within several days after MSCs application. Quantitative agreements with experimental data indicate the predictive potential of our model for evaluating the efficacy of cell-based therapies targeting angiogenesis.

血管生成是一种由现有血管系统形成的血管,在肿瘤生长及其发展为癌症的过程中起着关键作用。血管内壁由内皮细胞(ECs)组成,这些细胞增殖和迁移,使毛细血管向肿瘤生长,以输送所需的氧气。各种旨在抑制甚至抑制血管生成的治疗方法已经被探索。由于间充质干细胞(MSCs)能够向毛细血管迁移并诱导内皮细胞凋亡,导致毛细血管变性,因此最近在基于细胞的癌症治疗中得到了发展。然而,由于通常难以临床前评估这种治疗的疗效,因此需要在这方面进行进一步的研究。我们开发了一个混合多尺度模型,整合了肿瘤系统的分子、细胞、组织和细胞外成分,以研究msc介导治疗下的血管生成和肿瘤生长。我们的模拟产生了实验中观察到的血管生成和血管肿瘤生长概况。此外,模拟结果表明,MSCs诱导EC凋亡的有效性与密度有关,并且在应用MSCs后几天内达到完全效果。与实验数据的定量一致表明,我们的模型在评估以血管生成为目标的细胞为基础的治疗效果方面具有预测潜力。
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引用次数: 6
Modeling cell population dynamics. 细胞群体动力学建模。
Q2 Medicine Pub Date : 2019-01-01 DOI: 10.3233/ISB-180470
Daniel A Charlebois, Gábor Balázsi

 Quantitative modeling is quickly becoming an integral part of biology, due to the ability of mathematical models and computer simulations to generate insights and predict the behavior of living systems. Single-cell models can be incapable or misleading for inferring population dynamics, as they do not consider the interactions between cells via metabolites or physical contact, nor do they consider competition for limited resources such as nutrients or space. Here we examine methods that are commonly used to model and simulate cell populations. First, we cover simple models where analytic solutions are available, and then move on to more complex scenarios where computational methods are required. Overall, we present a summary of mathematical models used to describe cell population dynamics, which may aid future model development and highlights the importance of population modeling in biology.

由于数学模型和计算机模拟能够产生见解并预测生命系统的行为,定量建模正迅速成为生物学不可或缺的一部分。单细胞模型可能无法或误导推断种群动态,因为它们没有考虑细胞之间通过代谢物或物理接触的相互作用,也没有考虑对营养物质或空间等有限资源的竞争。在这里,我们研究了通常用于建模和模拟细胞群体的方法。首先,我们介绍了可以获得分析解决方案的简单模型,然后转到需要计算方法的更复杂的场景。总的来说,我们总结了用于描述细胞群体动力学的数学模型,这可能有助于未来的模型开发,并强调了群体建模在生物学中的重要性。
{"title":"Modeling cell population dynamics.","authors":"Daniel A Charlebois,&nbsp;Gábor Balázsi","doi":"10.3233/ISB-180470","DOIUrl":"10.3233/ISB-180470","url":null,"abstract":"<p><p> Quantitative modeling is quickly becoming an integral part of biology, due to the ability of mathematical models and computer simulations to generate insights and predict the behavior of living systems. Single-cell models can be incapable or misleading for inferring population dynamics, as they do not consider the interactions between cells via metabolites or physical contact, nor do they consider competition for limited resources such as nutrients or space. Here we examine methods that are commonly used to model and simulate cell populations. First, we cover simple models where analytic solutions are available, and then move on to more complex scenarios where computational methods are required. Overall, we present a summary of mathematical models used to describe cell population dynamics, which may aid future model development and highlights the importance of population modeling in biology.</p>","PeriodicalId":39379,"journal":{"name":"In Silico Biology","volume":"13 1-2","pages":"21-39"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3233/ISB-180470","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36793513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 44
Lower connectivity of tumor coexpression networks is not specific to cancer. 肿瘤共表达网络的低连通性并不是癌症特有的。
Q2 Medicine Pub Date : 2019-01-01 DOI: 10.3233/ISB-190472
Ertuğrul Dalgıç, Özlen Konu, Zehra Safi Öz, Christina Chan

Global level network analysis of molecular links is necessary for systems level view of complex diseases like cancer. Using genome-wide expression datasets, we constructed and compared gene co-expression based specific networks of pre-cancerous tumors (adenoma) and cancerous tumors (carcinoma) with paired normal networks to assess for any possible changes in network connectivity. Previously, loss of connectivity was reported as a characteristics of cancer samples. Here, we observed that pre-cancerous conditions also had significantly less connections than paired normal samples. We observed a loss of connectivity trend for colorectal adenoma, aldosterone producing adenoma and uterine leiomyoma. We also showed that the loss of connectivity trend is not specific to positive or negative correlation based networks. Differential hub genes, which were the most highly differentially less connected genes in tumor, were mostly different between different datasets. No common gene list could be defined which underlies the lower connectivity of tumor specific networks. Connectivity of colorectal cancer methylation targets was different from other genes. Extracellular space related terms were enriched in negative correlation based differential hubs and common methylation targets of colorectal carcinoma. Our results indicate a systems level change of lower connectivity as cells transform to not only cancer but also pre-cancerous conditions. This systems level behavior could not be attributed to a group of genes.

分子链接的全局网络分析对于癌症等复杂疾病的系统水平视图是必要的。利用全基因组表达数据集,我们构建并比较了癌前肿瘤(腺瘤)和癌性肿瘤(癌)与配对正常网络的基因共表达特异性网络,以评估网络连通性的任何可能变化。以前,连通性的丧失被报道为癌症样本的一个特征。在这里,我们观察到癌前病变的连接也明显少于配对的正常样本。我们观察到结直肠腺瘤、醛固酮产生腺瘤和子宫平滑肌瘤的连通性丧失趋势。我们还表明,连通性的丧失趋势并不特定于基于正相关或负相关的网络。差异中心基因是肿瘤中差异程度最高的基因,在不同的数据集之间大多存在差异。没有一个共同的基因列表可以定义肿瘤特异性网络较低连通性的基础。结直肠癌甲基化靶点的连通性不同于其他基因。细胞外空间相关术语在结直肠癌的差异中心和常见甲基化靶点中丰富。我们的研究结果表明,当细胞不仅转变为癌症,而且转变为癌前状态时,低连通性的系统水平发生了变化。这种系统级的行为不能归因于一组基因。
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引用次数: 4
Calibration, Selection and Identifiability Analysis of a Mathematical Model of the in vitro Erythropoiesis in Normal and Perturbed Contexts. 正常和扰动条件下体外红细胞生成数学模型的校准、选择和可识别性分析。
Q2 Medicine Pub Date : 2019-01-01 DOI: 10.3233/ISB-190471
Ronan Duchesne, Anissa Guillemin, Fabien Crauste, Olivier Gandrillon

The in vivo erythropoiesis, which is the generation of mature red blood cells in the bone marrow of whole organisms, has been described by a variety of mathematical models in the past decades. However, the in vitro erythropoiesis, which produces red blood cells in cultures, has received much less attention from the modelling community. In this paper, we propose the first mathematical model of in vitro erythropoiesis. We start by formulating different models and select the best one at fitting experimental data of in vitro erythropoietic differentiation obtained from chicken erythroid progenitor cells. It is based on a set of linear ODE, describing 3 hypothetical populations of cells at different stages of differentiation. We then compute confidence intervals for all of its parameters estimates, and conclude that our model is fully identifiable. Finally, we use this model to compute the effect of a chemical drug called Rapamycin, which affects all states of differentiation in the culture, and relate these effects to specific parameter variations. We provide the first model for the kinetics of in vitro cellular differentiation which is proven to be identifiable. It will serve as a basis for a model which will better account for the variability which is inherent to the experimental protocol used for the model calibration.

体内红细胞生成,即整个生物体骨髓中成熟红细胞的生成,在过去的几十年里已经用各种数学模型来描述。然而,体外红细胞生成,在培养中产生红细胞,受到建模界的关注少得多。在本文中,我们提出了第一个体外红细胞生成的数学模型。我们首先建立了不同的模型,并选择了最适合的模型来拟合鸡红细胞祖细胞体外红细胞分化的实验数据。它基于一组线性ODE,描述了3个处于不同分化阶段的假设细胞群体。然后我们计算其所有参数估计的置信区间,并得出结论,我们的模型是完全可识别的。最后,我们使用这个模型来计算一种叫做雷帕霉素的化学药物的影响,它影响培养中所有的分化状态,并将这些影响与特定的参数变化联系起来。我们为体外细胞分化动力学提供了第一个模型,该模型已被证明是可识别的。它将作为一个模型的基础,该模型将更好地解释用于模型校准的实验方案所固有的可变性。
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引用次数: 0
Calibration, Selection and Identifiability Analysis of a Mathematical Model of the in vitro Erythropoiesis in Normal and Perturbed Contexts 正常和扰动条件下体外红细胞生成数学模型的校准、选择和可识别性分析
Q2 Medicine Pub Date : 2018-05-05 DOI: 10.1101/314955
Ronan Duchesne, Anissa Guillemin, F. Crauste, O. Gandrillon
The in vivo erythropoiesis, which is the generation of mature red blood cells in the bone marrow of whole organisms, has been described by a variety of mathematical models in the past decades. However, the in vitro erythropoiesis, which produces red blood cells in cultures, has received much less attention from the modelling community. In this paper, we propose the first mathematical model of in vitro erythropoiesis. We start by formulating different models and select the best one at fitting experimental data of in vitro erythropoietic differentiation. It is based on a set of linear ODE, describing 3 hypothetical populations of cells at different stages of differentiation. We then compute confidence intervals for all of its parameters estimates, and conclude that our model is fully identifiable. Finally, we use this model to compute the effect of a chemical drug called Rapamycin, which affects all states of differentiation in the culture, and relate these effects to specific parameter variations. We provide the first model for the kinetics of in vitro cellular differentiation which is proven to be identifiable. It will serve as a basis for a model which will better account for the variability which is inherent to experimental protocol used for the model calibration.
体内红细胞生成,即整个生物体骨髓中成熟红细胞的生成,在过去的几十年里已经用各种数学模型来描述。然而,体外红细胞生成,在培养中产生红细胞,受到建模界的关注少得多。在本文中,我们提出了第一个体外红细胞生成的数学模型。我们首先建立不同的模型,选择最适合的模型来拟合体外红细胞分化的实验数据。它基于一组线性ODE,描述了3个处于不同分化阶段的假设细胞群体。然后我们计算其所有参数估计的置信区间,并得出结论,我们的模型是完全可识别的。最后,我们使用这个模型来计算一种叫做雷帕霉素的化学药物的影响,它影响培养中所有的分化状态,并将这些影响与特定的参数变化联系起来。我们为体外细胞分化动力学提供了第一个模型,该模型已被证明是可识别的。它将作为一个模型的基础,该模型将更好地解释用于模型校准的实验方案固有的可变性。
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引用次数: 6
Simulation of diffusion using a modular cell dynamic simulation system. 用模块化单元动态模拟系统模拟扩散。
Q2 Medicine Pub Date : 2017-01-01 DOI: 10.3233/ISB-170468
Christoph Leberecht, Florian Heinke, Dirk Labudde

A variety of mathematical models is used to describe and simulate the multitude of natural processes examined in life sciences. In this paper we present a scalable and adjustable foundation for the simulation of natural systems. Based on neighborhood relations in graphs and the complex interactions in cellular automata, the model uses recurrence relations to simulate changes on a mesoscopic scale. This implicit definition allows for the manipulation of every aspect of the model even during simulation. The definition of value rules ω facilitates the accumulation of change during time steps. Those changes may result from different physical, chemical or biological phenomena. Value rules can be combined into modules, which in turn can be used to create baseline models. Exemplarily, a value rule for the diffusion of chemical substances was designed and its applicability is demonstrated. Finally, the stability and accuracy of the solutions is analyzed.

各种各样的数学模型被用来描述和模拟生命科学中检验的众多自然过程。在本文中,我们提出了一个可扩展和可调节的自然系统模拟基础。该模型基于图中的邻域关系和元胞自动机中复杂的相互作用,利用递归关系在中观尺度上模拟变化。这种隐式定义允许对模型的各个方面进行操作,甚至在模拟过程中也是如此。值规则ω的定义有助于在时间步长期间积累变化。这些变化可能是由不同的物理、化学或生物现象引起的。可以将值规则组合到模块中,然后使用模块创建基线模型。通过实例,设计了化学物质扩散的数值规则,并对其适用性进行了论证。最后对解的稳定性和准确性进行了分析。
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引用次数: 4
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In Silico Biology
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