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Gradient boosting with knockoff filters: a biostatistical approach to variable selection. 仿冒过滤器的梯度增强:变量选择的生物统计学方法。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-25 DOI: 10.1186/s12859-025-06215-z
Amr Mohamed, Kevin H Lee

As data complexity and volume increase rapidly, efficient statistical methods for identifying significant variables become crucial. Variable selection plays a vital role in establishing relationships between predictors and response variables. The challenge lies in achieving this goal while controlling the False Discovery Rate (FDR) and maintaining statistical power. The knockoff filter, a recent approach, generates inexpensive knockoff variables that mimic the correlation structure of the original variables, serving as negative controls for inference. In this study, we extend the use of knockoffs to Light Gradient Boosting Machine (LightGBM), a fast and accurate machine learning technique. Shapely Additive Explanations (SHAP) values are employed to interpret the black-box nature of machine learning. Through extensive experimentation, our proposed method outperforms traditional approaches, accurately identifying important variables for each class. It offers improved speed and efficiency across multiple datasets. To validate our approach, an extensive simulation study is conducted. The integration of knockoffs into LightGBM enhances performance and interpretability, contributing to the advancement of variable selection methods. Our research addresses the challenges of variable selection in the era of big data, providing a valuable tool for identifying relevant variables in statistical modeling and machine learning applications.

随着数据复杂性和数据量的迅速增加,识别重要变量的有效统计方法变得至关重要。变量选择对于建立预测变量和响应变量之间的关系起着至关重要的作用。挑战在于如何在控制错误发现率(FDR)和保持统计能力的同时实现这一目标。仿冒过滤器是一种最新的方法,它生成廉价的仿冒变量,模仿原始变量的相关结构,作为推理的负控制。在本研究中,我们将仿制品的使用扩展到光梯度增强机(LightGBM),这是一种快速准确的机器学习技术。形状加性解释(SHAP)值被用来解释机器学习的黑箱性质。通过大量的实验,我们提出的方法优于传统方法,准确地识别每个类的重要变量。它提高了跨多个数据集的速度和效率。为了验证我们的方法,进行了广泛的模拟研究。将仿制品集成到LightGBM中提高了性能和可解释性,促进了变量选择方法的进步。我们的研究解决了大数据时代变量选择的挑战,为统计建模和机器学习应用中识别相关变量提供了有价值的工具。
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引用次数: 0
OMetaNet: an efficient hybrid deep learning model based on multimodal data fusion and contrastive learning for predicting 2'-O-methylation sites in human RNA. metanet:基于多模态数据融合和对比学习的高效混合深度学习模型,用于预测人类RNA中的2'- o -甲基化位点。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-24 DOI: 10.1186/s12859-025-06324-9
Peng Shen, Yiyu Lin, Sen Yang, Ziding Zhang

Background: Accurately identifying RNA 2'-O-methylation (2OM) sites is a crucial step in gaining an in-depth understanding of RNA regulatory mechanisms. Although there are currently multiple prediction tools available, they still suffer from limited prediction accuracy and an inability to fully capture the associations between sequences and sites.

Results: This study constructs a novel low-redundancy dataset and innovatively proposes the KN-PairMatrix encoding scheme, effectively addressing the research gap in sequence-site association analysis. Based on this foundation, we developed the deep learning framework OMetaNet, which integrates residual and downsampling-optimized CNN modules, Mamba network, and a proprietary cross-modal interactive fusion module. The framework incorporates a contrastive learning-driven adaptive hybrid loss function. Employing a progressive feature disentanglement strategy, it enhances the learning capability for 2OM site-specific patterns. Independent evaluation results demonstrate that OMetaNet significantly outperforms existing methods in predicting 2OM sites across all four nucleotide types.

Conclusions: We proposed a novel computational model, OMetaNet. Its unique design structure may potentially reshape the paradigm of transcriptome analysis, open up new directions for extracting modification site information, and show significant potential in biomarker research and cross-species generalization studies.

背景:准确识别RNA 2'- o -甲基化(2OM)位点是深入了解RNA调控机制的关键一步。虽然目前有多种可用的预测工具,但它们仍然存在预测精度有限和无法完全捕获序列和位点之间关联的问题。结果:本研究构建了一个新颖的低冗余数据集,并创新性地提出了KN-PairMatrix编码方案,有效解决了序列位点关联分析的研究空白。在此基础上,我们开发了深度学习框架OMetaNet,该框架集成了残差和下采样优化的CNN模块、Mamba网络和专有的跨模态交互融合模块。该框架结合了一个对比学习驱动的自适应混合损失函数。采用渐进式特征解缠策略,增强了对2OM位点特定模式的学习能力。独立评估结果表明,在预测所有四种核苷酸类型的2OM位点方面,OMetaNet显著优于现有方法。结论:我们提出了一种新的计算模型——OMetaNet。其独特的设计结构可能会重塑转录组分析的范式,为提取修饰位点信息开辟新的方向,并在生物标志物研究和跨物种推广研究中显示出巨大的潜力。
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引用次数: 0
Varaps: a python package for estimating SARS-CoV-2 lineages proportions from pooled sequencing data (ANRS0160). Varaps:用于从合并测序数据(ANRS0160)估计SARS-CoV-2谱系比例的python包。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-23 DOI: 10.1186/s12859-025-06299-7
El Hacene Djaout, Nicolas Cluzel, Vincent Marechal, Gregory Nuel, Marie Courbariaux
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引用次数: 0
EGCPPIS: learning hierarchical equivariant graph representations with contrastive integration for protein-protein interaction site identification. EGCPPIS:学习层次等变图表示与蛋白质-蛋白质相互作用位点识别的对比整合。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-23 DOI: 10.1186/s12859-025-06328-5
Guicong Sun, Yongxian Fan, Yangfeng Zhu, Mengxin Zheng

Background: Protein-protein interactions regulate the dynamic operation of intracellular molecular networks, serving as the molecular basis for revealing protein functions and disease mechanisms. Recently, several computational methods for predicting protein-protein interaction sites (PPIs) have been presented as alternatives to costly and labor-intensive traditional experiments. However, existing methods generally ignore the inherent hierarchical structure of protein chains. Furthermore, the equivariance of graph structure during spatial transformations is often neglected when applying graph neural networks to modeling. Therefore, accurately identifying PPIs remains a challenging task.

Results: In this work, we propose an end-to-end GNN-based computational method, EGCPPIS, for efficiently identifying protein-protein interaction sites. First, we construct a hierarchical graph representation of the protein chain, including residue-level graph and atom-level graph. Next, EGCPPIS designs an E(n) Equivariant Graph Neural Network (EGNN) module to learn residue-level embeddings with equivariant features. After further extracting atom-level embeddings using the GraphSAGE module, we introduce the contrastive learning strategy to integrate hierarchical graph features. This strategy enables us to learn consistent embeddings between residue-level and atom-level representations. Finally, the fused embeddings are weighted using an improved gated multi-head attention mechanism.

Conclusion: Comprehensive evaluation results on multiple datasets demonstrate that EGCPPIS significantly outperforms state-of-the-art methods. Extensive comparative experiments and case studies further confirm that EGCPPIS can reveal the decision-making patterns in PPIs prediction, facilitating the discovery of potential PPIs. The original datasets and code of EGCPPIS are available at https://github.com/GuicongSun/EGCPPIS .

背景:蛋白质-蛋白质相互作用调节细胞内分子网络的动态运作,是揭示蛋白质功能和疾病机制的分子基础。最近,几种预测蛋白质-蛋白质相互作用位点(PPIs)的计算方法被提出,作为昂贵和劳动密集型的传统实验的替代方法。然而,现有的方法通常忽略了蛋白质链固有的层次结构。此外,在应用图神经网络进行建模时,往往忽略了图结构在空间变换过程中的等方差。因此,准确识别ppi仍然是一项具有挑战性的任务。在这项工作中,我们提出了一种端到端的基于gnn的计算方法,EGCPPIS,用于有效识别蛋白质-蛋白质相互作用位点。首先,我们构建了蛋白质链的层次图表示,包括残差级图和原子级图。接下来,EGCPPIS设计了一个E(n)等变图神经网络(EGNN)模块来学习具有等变特征的残差级嵌入。在使用GraphSAGE模块进一步提取原子级嵌入之后,我们引入了对比学习策略来整合层次图特征。这种策略使我们能够学习残余级和原子级表示之间的一致嵌入。最后,使用改进的门控多头注意机制对融合嵌入进行加权。结论:对多个数据集的综合评价结果表明,EGCPPIS显著优于最先进的方法。大量的对比实验和案例研究进一步证实了EGCPPIS可以揭示ppi预测中的决策模式,有助于发现潜在的ppi。EGCPPIS的原始数据集和代码可在https://github.com/GuicongSun/EGCPPIS上获得。
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引用次数: 0
SynergyImage: image-based model for drug combinations synergy score prediction. SynergyImage:基于图像的药物组合协同评分预测模型。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-21 DOI: 10.1186/s12859-025-06314-x
Maryam Mehrabani, Amir Lakizadeh, Alireza Fotuhi Siahpirani, Ali Masoudi-Nejad
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引用次数: 0
MCLCBA: multi-view contrastive learning network for RNA methylation site prediction. MCLCBA:用于RNA甲基化位点预测的多视图对比学习网络。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-19 DOI: 10.1186/s12859-025-06306-x
Honglei Wang, Xuesong Zhang, Yanjing Sun, Zhaoyang Liu, Lin Zhang

Background: RNA methylation (RM) regulates gene expression regulation, RNA stability, and protein translation. Accurate prediction of RM modification sites is essential for understanding their biological functions. However, existing wet-lab detection techniques face challenges including operational complexity and high costs. Deep learning (DL) methods have been applied to this task. However, existing methods show performance degradation with smaller training datasets. For instance, the Bidirectional Gated Recurrent Unit (BGRU) demonstrates substantial performance degradation. Contrastive Learning Network (CNN) can extract local pattern features but learns overly specific patterns with sample-limited data, resulting in poor feature generalization. Bidirectional Long Short-Term Memory (BiLSTM) excels at modeling long-range dependencies but cannot sufficiently learn gating mechanism parameters to capture effective sequence representations with limited samples. Transformer processes sequences in parallel and captures global dependencies through self-attention, but its quadratic computational complexity and large parameter count make it prone to overfitting on small datasets. Current DL methods show reduced performance when training data is limited.

Results: This study proposes a Multi-view Contrastive Learning with CNN-BiLSTM-Attention (MCLCBA) framework for RM modification site prediction. The multi-view approach comprises a primary view and auxiliary view, where the primary view utilizes DNA Bidirectional Encoder Representations from Transformers (DNABERT) to extract sequence contextual features, and the auxiliary view employs Chaos Game Representation (CGR) to extract structural features. Feature extraction includes four components: data augmentation, multi-view encoders, projection heads, and contrastive loss functions. By implementing dual differential data augmentation strategies and constructing multi-view network architectures for feature processing and fusion, the model learns discriminative feature representations invariant to data augmentation through maximizing positive sample similarity while minimizing negative sample similarity. This effectively addresses sample-limited feature learning scenarios. Experimental results on the sample-limited m7G dataset demonstrate that MCLCBA achieves AUROC and AUPRC of 85.64% and 86.94%, respectively, improving upon existing methods by 5-6% in both metrics.

Conclusions: Through multi-view contrastive learning, MCLCBA provides an approach for RM sites under sample-limited scenarios.

背景:RNA甲基化(RM)调节基因表达调控、RNA稳定性和蛋白质翻译。准确预测RM修饰位点对了解其生物学功能至关重要。然而,现有的湿实验室检测技术面临着操作复杂性和高成本等挑战。深度学习(DL)方法已应用于此任务。然而,现有的方法在较小的训练数据集上表现出性能下降。例如,双向门控循环单元(BGRU)表现出明显的性能下降。对比学习网络(CNN)可以提取局部模式特征,但在样本有限的数据下学习过于特定的模式,导致特征泛化效果较差。双向长短期记忆(Bidirectional Long - short Memory, BiLSTM)擅长对长时间依赖关系进行建模,但无法充分学习门控机制参数,无法在有限的样本中捕获有效的序列表示。Transformer并行处理序列并通过自关注捕获全局依赖关系,但其二次计算复杂性和大参数计数使其容易在小数据集上过拟合。当前的深度学习方法在训练数据有限的情况下表现出较低的性能。结果:本研究提出了一种基于CNN-BiLSTM-Attention (MCLCBA)的多视角对比学习框架,用于RM修饰位点预测。多视图方法包括主视图和辅助视图,其中主视图利用变形变压器DNA双向编码器表示(DNABERT)提取序列上下文特征,辅助视图利用混沌博弈表示(CGR)提取序列结构特征。特征提取包括四个部分:数据增强、多视图编码器、投影头和对比损失函数。该模型通过实现双差分数据增强策略,构建多视图网络结构进行特征处理和融合,通过最大化正样本相似度和最小化负样本相似度来学习对数据增强不变的判别特征表示。这有效地解决了样本有限的特征学习场景。在样本有限的m7G数据集上的实验结果表明,MCLCBA的AUROC和AUPRC分别达到85.64%和86.94%,在这两个指标上都比现有方法提高了5-6%。结论:MCLCBA通过多视角对比学习,为样本有限的RM站点提供了一种方法。
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引用次数: 0
Denoising single-cell RNA-seq data with a deep learning-embedded statistical framework. 基于深度学习嵌入统计框架的单细胞RNA-seq数据去噪。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-19 DOI: 10.1186/s12859-025-06296-w
Qinhuan Luo, Yongzhen Yu, Tianying Wang

Background: Single-cell RNA sequencing (scRNA-seq) provides extensive opportunities to explore cellular heterogeneity but is often limited by substantial technical noise and variability. The prevalence of zero counts, arising from both biological variation and technical dropout events, poses significant challenges for downstream analyses. Existing imputation methods face inherent trade-offs: statistical approaches maintain interpretability but exhibit limited capacity for capturing complex, non-linear gene expression relationships, whereas deep learning methods demonstrate superior flexibility but are prone to overfitting and lack mechanistic interpretability, particularly in settings with limited sample sizes.

Methods: We present ZILLNB (Zero-Inflated Latent factors Learning-based Negative Binomial), a novel computational framework that integrates zero-inflated negative binomial (ZINB) regression with deep generative modeling. ZILLNB employs an ensemble architecture combining Information Variational Autoencoder (InfoVAE) and Generative Adversarial Network (GAN) to learn latent representations at cellular and gene levels. These latent factors serve as dynamic covariates within a ZINB regression framework, with parameters iteratively optimized through an Expectation-Maximization algorithm. This approach enables systematic decomposition of technical variability from intrinsic biological heterogeneity.

Results: Comparative evaluations across multiple scRNA-seq datasets demonstrate ZILLNB's superior performance. In cell type classification tasks using mouse cortex and human PBMC datasets, ZILLNB achieved the highest Adjusted Rand index (ARI) and Adjusted Mutual Information (AMI) among tested methods, with improvements ranging from 0.05 to 0.2 over VIPER, scImpute, DCA, DeepImpute, SAVER, scMultiGAN and ALRA. For differential expression analysis validated against matched bulk RNA-seq data, ZILLNB demonstrated improvements ranging from 0.05 to 0.3 for area under the Receiver Operating Characteristic curve (AUC-ROC) and the Precision-Recall curve (AUC-PR) compared to standard and other imputation methods, with consistently lower false discovery rates. Application to idiopathic pulmonary fibrosis (IPF) datasets revealed distinct fibroblast subpopulations undergoing fibroblast-to-myofibroblast transition, validated through marker gene expression and pathway enrichment analyses.

Conclusion: ZILLNB provides a principled framework for addressing technical artifacts in scRNA-seq data while preserving biological variation. The integration of statistical modeling with deep learning enables robust performance across diverse analytical tasks, including cell type identification, differential expression analysis, and rare cell population discovery, demonstrating utility across common single-cell analysis tasks.

背景:单细胞RNA测序(scRNA-seq)为探索细胞异质性提供了广泛的机会,但往往受到大量技术噪音和可变性的限制。由生物变异和技术辍学事件引起的零计数的流行对下游分析提出了重大挑战。现有的归算方法面临着固有的权衡:统计方法保持可解释性,但在捕获复杂的非线性基因表达关系方面表现出有限的能力,而深度学习方法表现出优越的灵活性,但容易过度拟合,缺乏机制可解释性,特别是在样本量有限的情况下。方法:我们提出了零膨胀潜在因素学习-基于负二项(Zero-Inflated Latent factors Learning-based Negative Binomial),这是一个将零膨胀负二项(Zero-Inflated Negative Binomial, ZINB)回归与深度生成建模相结合的新型计算框架。ZILLNB采用信息变分自编码器(InfoVAE)和生成对抗网络(GAN)相结合的集成架构来学习细胞和基因水平的潜在表征。这些潜在因素在ZINB回归框架中作为动态协变量,参数通过期望最大化算法迭代优化。这种方法能够从内在的生物异质性中系统地分解技术变异性。结果:跨多个scRNA-seq数据集的比较评估表明ZILLNB具有优越的性能。在使用小鼠皮质和人类PBMC数据集的细胞类型分类任务中,ZILLNB在测试方法中获得了最高的调整Rand指数(ARI)和调整互信息(AMI),比VIPER、scImpute、DCA、DeepImpute、SAVER、scMultiGAN和ALRA提高了0.05 ~ 0.2。对于匹配的大量RNA-seq数据验证的差异表达分析,与标准方法和其他方法相比,ZILLNB在受试者工作特征曲线(AUC-ROC)和精确召回曲线(AUC-PR)下的面积改善了0.05至0.3,错误发现率始终较低。对特发性肺纤维化(IPF)数据集的应用显示,不同的成纤维细胞亚群正在经历成纤维细胞向肌成纤维细胞的转变,通过标记基因表达和途径富集分析得到了验证。结论:ZILLNB为解决scRNA-seq数据中的技术伪像提供了一个原则性框架,同时保留了生物变异。统计建模与深度学习的集成可以在不同的分析任务中实现强大的性能,包括细胞类型识别、差异表达分析和罕见细胞群发现,展示了跨常见单细胞分析任务的实用性。
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引用次数: 0
AllergenAI: a deep learning model predicting allergenicity based on protein sequence. AllergenAI:基于蛋白质序列预测致敏性的深度学习模型。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-18 DOI: 10.1186/s12859-025-06302-1
Jiajia Liu, Surendra S Negi, Chengyuan Yang, Xiaobo Zhou, Catherine H Schein, Werner Braun, Pora Kim
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引用次数: 0
scMFF: a machine learning framework with multiple feature fusion strategies for cell type identification. scMFF:一种具有多种特征融合策略的机器学习框架,用于细胞类型识别。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-18 DOI: 10.1186/s12859-025-06309-8
Nan Sun, Yu Wang, Xiang Shi, Dengcheng Yang, Rongling Wu, Stephen S-T Yau

Accurate cell type classification is critical for downstream analysis in single-cell RNA sequencing (scRNA-seq). Most existing methods rely on a single type of feature representation-such as statistical, information theory, matrix factorization, or deep learning-based features. However, each captures different aspects of the data, and no single feature type can fully represent the complex differences between cell types. Moreover, naïvely concatenating multiple features may introduce redundancy or noise, reducing model performance. To address these challenges, we propose scMFF, which is a multiple feature fusion framework that integrates four features and explores six fusion strategies in combination with various classifiers for single-cell type classification. Comprehensive evaluations on 42 disease-related datasets and an external COVID-19 dataset demonstrate that scMFF outperforms single-feature approaches in terms of performance and stability, providing a reliable and effective solution for scRNA-seq data analysis.

准确的细胞类型分类对于单细胞RNA测序(scRNA-seq)的下游分析至关重要。大多数现有方法依赖于单一类型的特征表示,例如统计、信息论、矩阵分解或基于深度学习的特征。然而,每一种都捕获数据的不同方面,没有一种特征类型可以完全表示单元格类型之间的复杂差异。此外,naïvely连接多个特征可能会引入冗余或噪声,降低模型性能。为了解决这些挑战,我们提出了scMFF,它是一个多特征融合框架,集成了四个特征,并探索了六种融合策略,结合各种分类器进行单细胞类型分类。对42个疾病相关数据集和一个外部COVID-19数据集的综合评估表明,scMFF在性能和稳定性方面优于单特征方法,为scRNA-seq数据分析提供了可靠有效的解决方案。
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引用次数: 0
Talk2Biomodels: AI agent-based open-source LLM initiative for kinetic biological models. talk2biommodels:基于人工智能代理的开源动态生物模型法学硕士计划。
IF 3.3 3区 生物学 Q2 BIOCHEMICAL RESEARCH METHODS Pub Date : 2025-11-18 DOI: 10.1186/s12859-025-06310-1
Lilija Wehling, Gurdeep Singh, Ahmad Wisnu Mulyadi, Rakesh Hadne Sreenath, Henning Hermjakob, Tung V N Nguyen, Thomas Rückle, Mohammed H Mosa, Henrik Cordes, Tommaso Andreani, Thomas Klabunde, Rahuman S Malik Sheriff, Douglas McCloskey

Background: Quantitative kinetic models of biological regulatory processes play an important role in understanding disease mechanisms. However, their simulation and analysis require specialized domain expertise.

Results: In this study, we present Talk2Biomodels (T2B), an open-source, user-friendly, large language model-based agentic AI platform designed to facilitate access to computational models of biological systems and promote the FAIRification (Findability, Accessibility, Interoperability, and Reusability) principles in systems biology. T2B allows users to interact with and analyse mathematical models of biological systems through conversations in natural language, thereby lowering the barrier to entry for model interpretation and hypothesis-driven exploration. The platform natively supports models encoded in the Systems Biology Markup Language, a widely adopted standard in the computational biology community. T2B is integrated with the BioModels database ( https://www.ebi.ac.uk/biomodels/ ), enabling retrieval, simulation, and analysis of curated systems biology models. We illustrate the platform's capabilities through use cases in precision medicine, infectious disease epidemiology, and the study of emergent network-level properties in cellular systems - demonstrating how both computational experts and domain scientists without formal modelling training can derive actionable insights from complex biological models. Talk2Biomodels is available at https://github.com/VirtualPatientEngine/AIAgents4Pharma . Detailed documentation and use cases are available at https://virtualpatientengine.github.io/AIAgents4Pharma/talk2biomodels/intro/ .

Conclusions: In summary, T2B lowers the barrier for non-experts to engage with and extract insights from computational models of biological systems, while simultaneously providing experts with a streamlined interface for analysing models and overall contributes to the FAIRification of models.

背景:生物调控过程的定量动力学模型在理解疾病机制方面发挥着重要作用。然而,它们的模拟和分析需要专门领域的专业知识。在这项研究中,我们提出了talk2biommodels (T2B),这是一个开源的、用户友好的、基于大型语言模型的人工智能平台,旨在促进对生物系统计算模型的访问,并促进系统生物学中的公平性(可寻性、可访问性、互操作性和可重用性)原则。T2B允许用户通过自然语言对话与生物系统的数学模型进行交互和分析,从而降低模型解释和假设驱动探索的门槛。该平台原生支持用系统生物学标记语言编码的模型,系统生物学标记语言是计算生物学社区广泛采用的标准。T2B与生物模型数据库(https://www.ebi.ac.uk/biomodels/)集成,支持检索、模拟和分析策划系统生物学模型。我们通过精准医学、传染病流行病学和细胞系统中突发网络级特性的研究用例说明了该平台的功能——展示了没有经过正式建模训练的计算专家和领域科学家如何从复杂的生物模型中获得可操作的见解。talk2biommodels可以在https://github.com/VirtualPatientEngine/AIAgents4Pharma上找到。详细的文档和用例可在https://virtualpatientengine.github.io/AIAgents4Pharma/talk2biomodels/intro/上获得。结论:总之,T2B降低了非专家参与生物系统计算模型并从中提取见解的障碍,同时为专家提供了一个简化的界面来分析模型,并总体上有助于模型的标准化。
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引用次数: 0
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