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Author Correction: Network-driven cancer cell avatars for combination discovery and biomarker identification for DNA damage response inhibitors. 作者更正:网络驱动的癌细胞化身用于 DNA 损伤反应抑制剂的组合发现和生物标志物鉴定。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-08-08 DOI: 10.1038/s41540-024-00416-7
Orsolya Papp, Viktória Jordán, Szabolcs Hetey, Róbert Balázs, Valér Kaszás, Árpád Bartha, Nóra N Ordasi, Sebestyén Kamp, Bálint Farkas, Jerome Mettetal, Jonathan R Dry, Duncan Young, Ben Sidders, Krishna C Bulusu, Daniel V Veres
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引用次数: 0
Modelling HIV-1 control and remission. 模拟 HIV-1 的控制和缓解。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-08-08 DOI: 10.1038/s41540-024-00407-8
Bharadwaj Vemparala, Shreya Chowdhury, Jérémie Guedj, Narendra M Dixit

Remarkable advances are being made in developing interventions for eliciting long-term remission of HIV-1 infection. The success of these interventions will obviate the need for lifelong antiretroviral therapy, the current standard-of-care, and benefit the millions living today with HIV-1. Mathematical modelling has made significant contributions to these efforts. It has helped elucidate the possible mechanistic origins of natural and post-treatment control, deduced potential pathways of the loss of such control, quantified the effects of interventions, and developed frameworks for their rational optimization. Yet, several important questions remain, posing challenges to the translation of these promising interventions. Here, we survey the recent advances in the mathematical modelling of HIV-1 control and remission, highlight their contributions, and discuss potential avenues for future developments.

目前,在开发可使 HIV-1 感染长期缓解的干预措施方面取得了显著进展。这些干预措施的成功将使目前的治疗标准--终生抗逆转录病毒疗法--不再需要,并造福于当今数以百万计的 HIV-1 感染者。数学建模为这些努力做出了重大贡献。它帮助阐明了自然控制和治疗后控制的可能机理起源,推断了失去这种控制的潜在途径,量化了干预措施的效果,并开发了合理优化干预措施的框架。然而,一些重要的问题依然存在,给这些前景广阔的干预措施的转化带来了挑战。在此,我们将回顾 HIV-1 控制和缓解数学建模的最新进展,强调其贡献,并讨论未来发展的潜在途径。
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引用次数: 0
On the salient limitations of the methods of assembly theory and their classification of molecular biosignatures. 关于组装理论及其分子生物特征分类方法的突出局限性。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-08-07 DOI: 10.1038/s41540-024-00403-y
Abicumaran Uthamacumaran, Felipe S Abrahão, Narsis A Kiani, Hector Zenil

We demonstrate that the assembly pathway method underlying assembly theory (AT) is an encoding scheme widely used by popular statistical compression algorithms. We show that in all cases (synthetic or natural) AT performs similarly to other simple coding schemes and underperforms compared to system-related indexes based upon algorithmic probability that take into account statistical repetitions but also the likelihood of other computable patterns. Our results imply that the assembly index does not offer substantial improvements over existing methods, including traditional statistical ones, and imply that the separation between living and non-living compounds following these methods has been reported before.

我们证明,装配理论(AT)所依据的装配路径方法是一种被流行的统计压缩算法广泛使用的编码方案。我们的研究表明,在所有情况下(合成或自然),AT 的性能与其他简单编码方案相似,但与基于算法概率的系统相关指数相比,AT 的性能较低,后者不仅考虑了统计重复,还考虑了其他可计算模式的可能性。我们的研究结果表明,与现有方法(包括传统的统计方法)相比,组装指数并没有实质性的改进,这也意味着采用这些方法来区分生命化合物和非生命化合物的研究之前已有报道。
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引用次数: 0
Phenotype prediction using biologically interpretable neural networks on multi-cohort multi-omics data. 在多队列多组学数据上使用生物可解释神经网络进行表型预测。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-08-02 DOI: 10.1038/s41540-024-00405-w
Arno van Hilten, Jeroen van Rooij, M Arfan Ikram, Wiro J Niessen, Joyce B J van Meurs, Gennady V Roshchupkin

Integrating multi-omics data into predictive models has the potential to enhance accuracy, which is essential for precision medicine. In this study, we developed interpretable predictive models for multi-omics data by employing neural networks informed by prior biological knowledge, referred to as visible networks. These neural networks offer insights into the decision-making process and can unveil novel perspectives on the underlying biological mechanisms associated with traits and complex diseases. We tested the performance, interpretability and generalizability for inferring smoking status, subject age and LDL levels using genome-wide RNA expression and CpG methylation data from the blood of the BIOS consortium (four population cohorts, Ntotal = 2940). In a cohort-wise cross-validation setting, the consistency of the diagnostic performance and interpretation was assessed. Performance was consistently high for predicting smoking status with an overall mean AUC of 0.95 (95% CI: 0.90-1.00) and interpretation revealed the involvement of well-replicated genes such as AHRR, GPR15 and LRRN3. LDL-level predictions were only generalized in a single cohort with an R2 of 0.07 (95% CI: 0.05-0.08). Age was inferred with a mean error of 5.16 (95% CI: 3.97-6.35) years with the genes COL11A2, AFAP1, OTUD7A, PTPRN2, ADARB2 and CD34 consistently predictive. For both regression tasks, we found that using multi-omics networks improved performance, stability and generalizability compared to interpretable single omic networks. We believe that visible neural networks have great potential for multi-omics analysis; they combine multi-omic data elegantly, are interpretable, and generalize well to data from different cohorts.

将多组学数据整合到预测模型中有望提高准确性,这对精准医疗至关重要。在这项研究中,我们通过使用由先前生物知识提供信息的神经网络(称为可见网络),为多组学数据开发了可解释的预测模型。这些神经网络为决策过程提供了洞察力,并能揭示与性状和复杂疾病相关的潜在生物机制的新视角。我们利用 BIOS 联合体(四个人群队列,Ntotal = 2940)血液中的全基因组 RNA 表达和 CpG 甲基化数据,测试了推断吸烟状况、受试者年龄和低密度脂蛋白水平的性能、可解释性和可推广性。在队列交叉验证设置中,对诊断性能和解释的一致性进行了评估。预测吸烟状况的性能一直很高,总平均 AUC 为 0.95(95% CI:0.90-1.00),解释显示 AHRR、GPR15 和 LRRN3 等复制良好的基因参与了预测。低密度脂蛋白水平预测仅在单个队列中具有普遍性,R2 为 0.07(95% CI:0.05-0.08)。年龄推断的平均误差为 5.16(95% CI:3.97-6.35)岁,其中 COL11A2、AFAP1、OTUD7A、PTPRN2、ADARB2 和 CD34 基因始终具有预测性。对于这两项回归任务,我们发现,与可解释的单个 omic 网络相比,使用多组学网络可以提高性能、稳定性和普适性。我们认为,可见神经网络在多组学分析中具有巨大潜力;它们能优雅地结合多组学数据,具有可解释性,并能很好地概括不同组群的数据。
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引用次数: 0
Bifurcations in coupled amyloid-β aggregation-inflammation systems. 淀粉样蛋白-β聚集-炎症耦合系统中的分岔。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-30 DOI: 10.1038/s41540-024-00408-7
Kalyan S Chakrabarti, Davood Bakhtiari, Nasrollah Rezaei-Ghaleh

A complex interplay between various processes underlies the neuropathology of Alzheimer's disease (AD) and its progressive course. Several lines of evidence point to the coupling between Aβ aggregation and neuroinflammation and its role in maintaining brain homeostasis during the long prodromal phase of AD. Little is however known about how this protective mechanism fails and as a result, an irreversible and progressive transition to clinical AD occurs. Here, we introduce a minimal model of a coupled system of Aβ aggregation and inflammation, numerically simulate its dynamical behavior, and analyze its bifurcation properties. The introduced model represents the following events: generation of Aβ monomers, aggregation of Aβ monomers into oligomers and fibrils, induction of inflammation by Aβ aggregates, and clearance of various Aβ species. Crucially, the rates of Aβ generation and clearance are modulated by inflammation level following a Hill-type response function. Despite its relative simplicity, the model exhibits enormously rich dynamics ranging from overdamped kinetics to sustained oscillations. We then specify the region of inflammation- and coupling-related parameters space where a transition to oscillatory dynamics occurs and demonstrate how changes in Aβ aggregation parameters could shift this oscillatory region in parameter space. Our results reveal the propensity of coupled Aβ aggregation-inflammation systems to oscillatory dynamics and propose prolonged sustained oscillations and their consequent immune system exhaustion as a potential mechanism underlying the transition to a more progressive phase of amyloid pathology in AD. The implications of our results in regard to early diagnosis of AD and anti-AD drug development are discussed.

阿尔茨海默病(AD)的神经病理学及其进展过程是由各种过程之间复杂的相互作用造成的。多种证据表明,在阿尔茨海默病的漫长前驱期,Aβ聚集与神经炎症之间存在耦合关系,并在维持大脑稳态方面发挥作用。然而,人们对这一保护机制是如何失效并因此不可逆转地逐渐过渡到临床 AD 的却知之甚少。在此,我们引入了一个 Aβ 聚集和炎症耦合系统的最小模型,对其动力学行为进行了数值模拟,并分析了其分岔特性。引入的模型表示了以下事件:Aβ 单体的产生、Aβ 单体聚集成低聚物和纤维、Aβ 聚集物诱发炎症以及各种 Aβ 物种的清除。最重要的是,Aβ 的生成和清除率受炎症水平的调节,并遵循希尔型反应函数。尽管该模型相对简单,但却表现出从过阻尼动力学到持续振荡的丰富动态。然后,我们明确了向振荡动力学过渡的炎症和耦合相关参数空间区域,并演示了 Aβ 聚集参数的变化如何改变参数空间中的振荡区域。我们的研究结果揭示了 Aβ 聚集-炎症耦合系统的振荡动力学倾向,并提出了长时间的持续振荡和随之而来的免疫系统衰竭是向 AD 淀粉样病理学更进展阶段过渡的潜在机制。本文还讨论了我们的研究结果对早期诊断 AD 和开发抗 AD 药物的意义。
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引用次数: 0
A possible path to persistent re-entry waves at the outlet of the left pulmonary vein. 左肺静脉出口处出现持续性再入波的可能途径。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-23 DOI: 10.1038/s41540-024-00406-9
Karoline Horgmo Jæger, Aslak Tveito

Atrial fibrillation (AF) is the most common form of cardiac arrhythmia, often evolving from paroxysmal episodes to persistent stages over an extended timeframe. While various factors contribute to this progression, the precise biophysical mechanisms driving it remain unclear. Here we explore how rapid firing of cardiomyocytes at the outlet of the pulmonary vein of the left atria can create a substrate for a persistent re-entry wave. This is grounded in a recently formulated mathematical model of the regulation of calcium ion channel density by intracellular calcium concentration. According to the model, the number of calcium channels is controlled by the intracellular calcium concentration. In particular, if the concentration increases above a certain target level, the calcium current is weakened to restore the target level of calcium. During rapid pacing, the intracellular calcium concentration of the cardiomyocytes increases leading to a substantial reduction of the calcium current across the membrane of the myocytes, which again reduces the action potential duration. In a spatially resolved cell-based model of the outlet of the pulmonary vein of the left atria, we show that the reduced action potential duration can lead to re-entry. Initiated by rapid pacing, often stemming from paroxysmal AF episodes lasting several days, the reduction in calcium current is a critical factor. Our findings illustrate how such episodes can foster a conducive environment for persistent AF through electrical remodeling, characterized by diminished calcium currents. This underscores the importance of promptly addressing early AF episodes to prevent their progression to chronic stages.

心房颤动(房颤)是最常见的心律失常形式,通常在较长时间内从阵发性发作演变为持续性阶段。虽然有多种因素导致了这种演变,但驱动这种演变的确切生物物理机制仍不清楚。在此,我们探讨了左心房肺静脉出口处心肌细胞的快速发射如何为持续性再入波创造基质。其基础是最近制定的钙离子通道密度受细胞内钙浓度调节的数学模型。根据该模型,钙离子通道的数量受细胞内钙浓度的控制。特别是,如果浓度增加到某一目标水平以上,钙电流就会减弱,以恢复钙的目标水平。在快速起搏过程中,心肌细胞内的钙离子浓度增加,导致心肌细胞膜上的钙电流大幅减少,从而再次缩短了动作电位持续时间。在基于细胞的左心房肺静脉出口空间分辨模型中,我们发现动作电位持续时间的缩短会导致再入路。快速起搏通常源于持续数天的阵发性房颤发作,钙电流的减少是一个关键因素。我们的研究结果说明了这种发作如何通过以钙电流减少为特征的电重塑为持续性房颤创造有利环境。这强调了及时处理早期房颤发作以防止其发展为慢性阶段的重要性。
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引用次数: 0
Self-consistent signal transduction analysis for modeling context-specific signaling cascades and perturbations. 自洽信号转导分析,用于模拟特定环境下的信号级联和扰动。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-19 DOI: 10.1038/s41540-024-00404-x
John Cole

Biological signal transduction networks are central to information processing and regulation of gene expression across all domains of life. Dysregulation is known to cause a wide array of diseases, including cancers. Here I introduce self-consistent signal transduction analysis, which utilizes genome-scale -omics data (specifically transcriptomics and/or proteomics) in order to predict the flow of information through these networks in an individualized manner. I apply the method to the study of endocrine therapy in breast cancer patients, and show that drugs that inhibit estrogen receptor α elicit a wide array of antitumoral effects, and that their most clinically-impactful ones are through the modulation of proliferative signals that control the genes GREB1, HK1, AKT1, MAPK1, AKT2, and NQO1. This method offers researchers a valuable tool in understanding how and why dysregulation occurs, and how perturbations to the network (such as targeted therapies) effect the network itself, and ultimately patient outcomes.

生物信号转导网络是生命各领域信息处理和基因表达调控的核心。众所周知,失调会导致包括癌症在内的多种疾病。我在这里介绍自洽信号转导分析,它利用基因组规模的组学数据(特别是转录组学和/或蛋白质组学),以个性化的方式预测通过这些网络的信息流。我将这种方法应用于乳腺癌患者的内分泌治疗研究,结果表明,抑制雌激素受体α的药物会引发一系列抗肿瘤效应,而对临床影响最大的效应是通过调节控制基因GREB1、HK1、AKT1、MAPK1、AKT2和NQO1的增殖信号。这种方法为研究人员提供了一种宝贵的工具,帮助他们了解调节失调发生的方式和原因,以及对网络的干扰(如靶向治疗)如何影响网络本身并最终影响患者的预后。
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引用次数: 0
Including glutamine in a resource allocation model of energy metabolism in cancer and yeast cells. 将谷氨酰胺纳入癌细胞和酵母细胞能量代谢的资源分配模型。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-18 DOI: 10.1038/s41540-024-00393-x
Jan Ewald, Ziyang He, Wassili Dimitriew, Stefan Schuster

Energy metabolism is crucial for all living cells, especially during fast growth or stress scenarios. Many cancer and activated immune cells (Warburg effect) or yeasts (Crabtree effect) mostly rely on aerobic glucose fermentation leading to lactate or ethanol, respectively, to generate ATP. In recent years, several mathematical models have been proposed to explain the Warburg effect on theoretical grounds. Besides glucose, glutamine is a very important substrate for eukaryotic cells-not only for biosynthesis, but also for energy metabolism. Here, we present a minimal constraint-based stoichiometric model for explaining both the classical Warburg effect and the experimentally observed respirofermentation of glutamine (WarburQ effect). We consider glucose and glutamine respiration as well as the respective fermentation pathways. Our resource allocation model calculates the ATP production rate, taking into account enzyme masses and, therefore, pathway costs. While our calculation predicts glucose fermentation to be a superior energy-generating pathway in human cells, different enzyme characteristics in yeasts reduce this advantage, in some cases to such an extent that glucose respiration is preferred. The latter is observed for the fungal pathogen Candida albicans, which is a known Crabtree-negative yeast. Further, optimization results show that glutamine is a valuable energy source and important substrate under glucose limitation, in addition to its role as a carbon and nitrogen source of biomass in eukaryotic cells. In conclusion, our model provides insights that glutamine is an underestimated fuel for eukaryotic cells during fast growth and infection scenarios and explains well the observed parallel respirofermentation of glucose and glutamine in several cell types.

能量代谢对所有活细胞都至关重要,尤其是在快速生长或压力情况下。许多癌细胞和活化的免疫细胞(沃伯格效应)或酵母菌(克拉布特里效应)大多依靠有氧葡萄糖发酵分别产生乳酸或乙醇来生成 ATP。近年来,人们提出了一些数学模型,从理论上解释沃伯格效应。除了葡萄糖,谷氨酰胺也是真核细胞非常重要的底物--不仅用于生物合成,也用于能量代谢。在此,我们提出了一个基于最小约束的化学计量模型,用于解释经典的沃伯格效应和实验观察到的谷氨酰胺呼吸发酵(WarburQ 效应)。我们考虑了葡萄糖和谷氨酰胺呼吸以及各自的发酵途径。我们的资源分配模型在计算 ATP 生成率时考虑了酶的质量,因此也考虑了途径成本。根据我们的计算,葡萄糖发酵在人体细胞中是一种优越的能量生成途径,而酵母菌中不同的酶特性却削弱了这一优势,在某些情况下,葡萄糖呼吸更受青睐。在真菌病原体白念珠菌中就观察到了这种情况,白念珠菌是一种已知的克拉布特里阴性酵母菌。此外,优化结果表明,谷氨酰胺除了是真核细胞生物量的碳源和氮源外,还是葡萄糖限制条件下的重要能量来源和底物。总之,我们的模型揭示了谷氨酰胺是真核细胞在快速生长和感染情况下被低估的燃料,并很好地解释了在几种细胞类型中观察到的葡萄糖和谷氨酰胺的平行呼吸发酵。
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引用次数: 0
A deep position-encoding model for predicting olfactory perception from molecular structures and electrostatics. 从分子结构和静电学预测嗅觉感知的深度位置编码模型。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-17 DOI: 10.1038/s41540-024-00401-0
Mengji Zhang, Yusuke Hiki, Akira Funahashi, Tetsuya J Kobayashi

Predicting olfactory perceptions from odorant molecules is challenging due to the complex and potentially discontinuous nature of the perceptual space for smells. In this study, we introduce a deep learning model, Mol-PECO (Molecular Representation by Positional Encoding of Coulomb Matrix), designed to predict olfactory perceptions based on molecular structures and electrostatics. Mol-PECO learns the efficient embedding of molecules by utilizing the Coulomb matrix, which encodes atomic coordinates and charges, as an alternative of the adjacency matrix and its Laplacian eigenfunctions as positional encoding of atoms. With a comprehensive dataset of odor molecules and descriptors, Mol-PECO outperforms traditional machine learning methods using molecular fingerprints and graph neural networks based on adjacency matrices. The learned embeddings by Mol-PECO effectively capture the odor space, enabling global clustering of descriptors and local retrieval of similar odorants. This work contributes to a deeper understanding of the olfactory sense and its mechanisms.

由于气味感知空间的复杂性和潜在不连续性,预测气味分子的嗅觉感知具有挑战性。在本研究中,我们介绍了一种深度学习模型 Mol-PECO(库仑矩阵位置编码的分子表征),旨在根据分子结构和静电来预测嗅觉感知。Mol-PECO 利用编码原子坐标和电荷的库仑矩阵来替代邻接矩阵及其拉普拉斯特征函数作为原子的位置编码,从而学习分子的有效嵌入。通过气味分子和描述符的综合数据集,Mol-PECO 的表现优于使用分子指纹和基于邻接矩阵的图神经网络的传统机器学习方法。Mol-PECO 学习到的嵌入有效地捕捉了气味空间,实现了描述符的全局聚类和相似气味的局部检索。这项工作有助于加深对嗅觉及其机制的理解。
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引用次数: 0
Systems modeling of oncogenic G-protein and GPCR signaling reveals unexpected differences in downstream pathway activation. 致癌 G 蛋白和 GPCR 信号的系统建模揭示了下游通路激活中意想不到的差异。
IF 3.5 2区 生物学 Q1 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-16 DOI: 10.1038/s41540-024-00400-1
Michael Trogdon, Kodye Abbott, Nadia Arang, Kathryn Lande, Navneet Kaur, Melinda Tong, Mathieu Bakhoum, J Silvio Gutkind, Edward C Stites

Mathematical models of biochemical reaction networks are an important and emerging tool for the study of cell signaling networks involved in disease processes. One promising potential application of such mathematical models is the study of how disease-causing mutations promote the signaling phenotype that contributes to the disease. It is commonly assumed that one must have a thorough characterization of the network readily available for mathematical modeling to be useful, but we hypothesized that mathematical modeling could be useful when there is incomplete knowledge and that it could be a tool for discovery that opens new areas for further exploration. In the present study, we first develop a mechanistic mathematical model of a G-protein coupled receptor signaling network that is mutated in almost all cases of uveal melanoma and use model-driven explorations to uncover and explore multiple new areas for investigating this disease. Modeling the two major, mutually-exclusive, oncogenic mutations (Gαq/11 and CysLT2R) revealed the potential for previously unknown qualitative differences between seemingly interchangeable disease-promoting mutations, and our experiments confirmed oncogenic CysLT2R was impaired at activating the FAK/YAP/TAZ pathway relative to Gαq/11. This led us to hypothesize that CYSLTR2 mutations in UM must co-occur with other mutations to activate FAK/YAP/TAZ signaling, and our bioinformatic analysis uncovers a role for co-occurring mutations involving the plexin/semaphorin pathway, which has been shown capable of activating this pathway. Overall, this work highlights the power of mechanism-based computational systems biology as a discovery tool that can leverage available information to open new research areas.

生化反应网络的数学模型是研究涉及疾病过程的细胞信号网络的一种重要的新兴工具。此类数学模型的一个前景广阔的潜在应用领域是研究致病突变如何促进导致疾病的信号表型。人们通常认为,数学建模必须具备对网络的全面描述才能发挥作用,但我们假设,在知识不完整的情况下,数学建模也能发挥作用,它可以成为一种发现工具,为进一步探索开辟新的领域。在本研究中,我们首先建立了一个在几乎所有葡萄膜黑色素瘤病例中都发生突变的 G 蛋白偶联受体信号转导网络的机理数学模型,并利用模型驱动的探索来发现和探索研究这种疾病的多个新领域。我们的实验证实,相对于Gαq/11,致癌的CysLT2R在激活FAK/YAP/TAZ通路方面有缺陷。我们的生物信息学分析揭示了涉及 plexin/semaphorin 通路的共生突变的作用,该通路已被证明能够激活该通路。总之,这项工作凸显了基于机制的计算系统生物学作为一种发现工具的威力,它可以利用现有信息开辟新的研究领域。
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引用次数: 0
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