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Learning collective multicellular dynamics with an interacting mean field neural SDE model. 用交互平均场神经SDE模型学习集体多细胞动力学。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-21 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013916
Qi Jiang, Longquan Li, Lei Zhang, Lin Wan

The advent of temporal single-cell RNA sequencing (scRNA-seq) data has enabled in-depth investigation of dynamic processes in heterogeneous multicellular systems. Despite remarkable advancements in computational methods for modeling cellular dynamics, integrating cell-cell interactions (CCIs) into these models remains a major challenge. This is particularly true when dealing with high-dimensional gene expression profiles from large populations of interacting cells, where the intricate interplay between cells can be obscured by data complexity. To address this, we present scIMF, a single-cell deep-generative Interacting Mean Field model that learns collective multicellular dynamics. Leveraging the McKean-Vlasov stochastic differential equation framework, scIMF provides a mathematical foundation for describing interacting multicellular systems, where each cell's evolution depends on the population's empirical distribution. By incorporating a cell-wise attention mechanism, the model efficiently captures nonlocal and asymmetric CCIs, enabling realistic reconstruction of complex intercellular relationships in high-dimensional spaces. Benchmarking across diverse temporal scRNA-seq datasets demonstrates that scIMF outperforms state-of-the-art methods in reconstructing gene expression at unobserved time points and in inferring cellular velocities. Furthermore, scIMF uncovers biologically interpretable, non-reciprocal interaction patterns of cells, providing a principled framework for studying complex, particularly non-equilibrium biological systems.

时间单细胞RNA测序(scRNA-seq)数据的出现使得深入研究异质性多细胞系统的动态过程成为可能。尽管细胞动力学建模的计算方法取得了显著进步,但将细胞-细胞相互作用(CCIs)整合到这些模型中仍然是一个主要挑战。当处理来自大量相互作用细胞的高维基因表达谱时尤其如此,其中细胞之间复杂的相互作用可能被数据复杂性所掩盖。为了解决这个问题,我们提出了scIMF,这是一个学习集体多细胞动力学的单细胞深度生成交互平均场模型。利用McKean-Vlasov随机微分方程框架,scIMF为描述相互作用的多细胞系统提供了数学基础,其中每个细胞的进化取决于种群的经验分布。通过结合细胞智能注意机制,该模型有效捕获非局部和非对称cci,从而能够在高维空间中真实地重建复杂的细胞间关系。对不同时间scRNA-seq数据集的基准测试表明,scIMF在未观察到的时间点重建基因表达和推断细胞速度方面优于最先进的方法。此外,scIMF揭示了细胞在生物学上可解释的、非互惠的相互作用模式,为研究复杂的、特别是非平衡的生物系统提供了一个原则性框架。
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引用次数: 0
Histo-Miner: Deep learning based tissue features extraction pipeline from H&E whole slide images of cutaneous squamous cell carcinoma. 基于深度学习的组织特征提取管道,从皮肤鳞状细胞癌的H&E整张幻灯片图像中提取组织特征。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-21 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013907
Lucas Sancéré, Carina Lorenz, Doris Helbig, Oana-Diana Persa, Sonja Dengler, Alexander Kreuter, Martim Laimer, Roland Lang, Anne Fröhlich, Jennifer Landsberg, Johannes Brägelmann, Katarzyna Bozek

Recent advances in digital pathology have enabled comprehensive analyses of Whole-Slide Images (WSIs) from tissue samples, leveraging high-resolution microscopy and computational capabilities. Despite this progress, available tools for automatic cell type identification perform poorly on skin tissue, e.g. in the classification of non-melanoma tumor cells. This is due to a paucity of labeled training data sets and high morphological similarities between tumor and non-tumor epithelial cells in the skin. Here, we propose Histo-Miner, a deep learning-based pipeline designed for the analysis of skin WSIs. To this end we generated two new datasets using WSIs of cutaneous Squamous Cell Carcinoma (cSCC) samples, a frequent non-melanoma skin cancer, by annotating 47,392 cell nuclei across 5 cell types in 21 WSIs and segmenting tumor regions in 144 WSIs. Histo-Miner employs convolutional neural networks and vision transformers for nucleus segmentation and classification, as well as tumor region segmentation. Performance of trained models positively compares to state of the art with multi-class Panoptic Quality (mPQ) of 0.569 for nucleus segmentation, macro-averaged F1 of 0.832 for nucleus classification and mean Intersection over Union (mIoU) of 0.907 for tumor region segmentation. From these output, the pipeline can generate a compact feature vector summarizing tissue morphology and cellular interactions, which can be used for various downstream tasks. As an exemplary use-case, we deploy Histo-Miner to predict cSCC patient response to immunotherapy based on pre-treatment WSIs from 45 patients. Histo-Miner predicts patient response with mean area under ROC curve of 0.755 ± 0.091 over cross-validation, and identifies percentages of lymphocytes, the granulocyte to lymphocyte ratio in tumor vicinity and the distances between granulocytes and plasma cells in tumors as predictive features for therapy response. This highlights the applicability of Histo-Miner to clinically relevant scenarios, providing direct interpretation of the classification and insights into the underlying biology. Importantly, Histo-Miner is designed to allow for its use on other cancer types and on other training datasets. Our tool and datasets are available through our github repository: https://github.com/bozeklab/histo-miner.

数字病理学的最新进展使得利用高分辨率显微镜和计算能力对组织样本的全幻灯片图像(wsi)进行全面分析成为可能。尽管取得了这些进展,但现有的自动细胞类型鉴定工具在皮肤组织中表现不佳,例如在非黑色素瘤肿瘤细胞的分类中。这是由于缺乏标记的训练数据集以及皮肤中肿瘤和非肿瘤上皮细胞之间的高度形态学相似性。在这里,我们提出了history - miner,这是一个基于深度学习的管道,专为皮肤wsi分析而设计。为此,我们使用皮肤鳞状细胞癌(cSCC)样本的wsi生成了两个新的数据集,cSCC是一种常见的非黑色素瘤皮肤癌,通过在21个wsi中注释5种细胞类型的47392个细胞核,并在144个wsi中分割肿瘤区域。history - miner采用卷积神经网络和视觉转换器对细胞核进行分割和分类,对肿瘤区域进行分割。训练后的模型的性能与目前的技术水平相比,核分割的多类Panoptic Quality (mPQ)为0.569,核分类的宏观平均F1为0.832,肿瘤区域分割的平均Intersection over Union (mIoU)为0.907。从这些输出中,管道可以生成一个紧凑的特征向量,总结组织形态和细胞相互作用,可用于各种下游任务。作为一个典型的用例,我们使用histominer来预测cSCC患者对基于45例患者治疗前wsi的免疫治疗的反应。通过交叉验证,histom - miner预测患者反应的ROC曲线下平均面积为0.755±0.091,并确定淋巴细胞的百分比,肿瘤附近粒细胞与淋巴细胞的比例以及肿瘤中粒细胞与浆细胞之间的距离作为治疗反应的预测特征。这突出了histominer在临床相关情况下的适用性,提供了对分类的直接解释和对潜在生物学的见解。重要的是,history - miner的设计允许它在其他癌症类型和其他训练数据集上使用。我们的工具和数据集可以通过我们的github存储库获得:https://github.com/bozeklab/histo-miner。
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引用次数: 0
Compaction of chromatin domains regulates target search times of proteins. 染色质结构域的压缩调节蛋白质的目标搜索时间。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013843
Shuvadip Dutta, Adarshkrishnan Rajakumar, Ranjith Padinhateeri, Mithun K Mitra

Protein molecules must efficiently locate specific DNA sequences within the densely packed chromatin of the cell nucleus. We investigate how the spatial organisation of chromatin, specifically its organisation into Topologically Associating Domains (TADs), fundamentally affects this search process. Using exact analytical theory and simulations of different models of chromatin, we show that target search within compact, highly connected chromatin domains can leverage intersegmental jumps to significantly decrease search times. Further, we establish that there exists an optimal degree of polymer compaction that minimizes the search time for proteins to find their targets. For highly folded domains, our results suggest that rather than bulk diffusion, intersegmental transfers - jumping between chromatin segments that are close together in space - drive the optimal search process. Remarkably, when we analyse 8,355 TAD structures across the human genome, we find that their natural connectivity matches with the theoretical optimum predicted by our model. The structural organisation within TADs significantly reduces protein search times far beyond what is achievable through classical facilitated diffusion. In essence, our work suggests that packaging of chromatin inside the nucleus has implications beyond spatial organisation, and is also intricately linked to the dynamics of proteins inside the nuclear environment.

蛋白质分子必须在细胞核密集排列的染色质中有效地定位特定的DNA序列。我们研究染色质的空间组织,特别是进入拓扑相关域(TADs),如何从根本上影响这一搜索过程。利用精确的分析理论和对不同染色质模型的模拟,我们发现在紧凑、高度连接的染色质结构域内的目标搜索可以利用节段间跳跃来显著减少搜索时间。此外,我们表明存在一个最佳程度的聚合物压实,使蛋白质找到它们的目标的搜索时间最小化。我们表明,对于高度折叠的结构域,而不是散装扩散,节段间转移-在空间上紧密相连的染色质节段之间跳跃-驱动最佳搜索过程。值得注意的是,当我们分析人类基因组中的8355个TAD结构时,我们发现它们的自然连通性与我们的模型预测的理论最佳值相匹配。TADs中的结构组织大大减少了蛋白质搜索时间,远远超过了通过经典的促进扩散所能实现的时间。从本质上讲,我们的工作表明,细胞核内染色质的包装具有超越空间组织的含义,并且还与核环境内蛋白质的动态复杂相关。
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引用次数: 0
Therapeutic targeting of oligodendrocytes in an agent-based model of multiple sclerosis. 少突胶质细胞在多发性硬化症药物模型中的靶向治疗。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013273
Georgia R Weatherley, Robyn P Araujo, Samantha J Dando, Adrianne L Jenner

Multiple sclerosis (MS) is a neurodegenerative disease in which misdirected, persistent activity of the immune system degrades the protective myelin sheaths of nerve axons. Historically, treatment of MS has relied on disease-modifying therapies that involve immunosuppression, such as targeting of the blood-brain barrier (BBB) to restrict lymphocyte movement. New therapeutic ideas in the development pipeline are instead designed to promote populations of myelin producing cells, oligodendrocytes, by exploiting their innate resilience to the stressors of MS or restoring their numbers. Given the significant advancements made in immunological disease understanding due to mathematical and computational modelling, we sought to develop a platform to (1) interrogate our understanding of the neuroimmunological mechanisms driving MS development and (2) examine the impact of different therapeutic strategies. To this end we propose a novel, open-source, agent-based model of lesion development in the CNS. Our model includes crucial populations of T cells, perivascular macrophages, and oligodendrocytes. We examine the sensitivity of the model to key parameters related to disease targets and conclude that lesion stabilisation can be achieved when targeting the integrated stress response of oligodendrocytes. Most significantly, complete prevention of lesion formation is observed when a combination of approved BBB-permeability targeting therapies and integrated-stress response targeting therapies is administered, suggesting the potential to strike a balance between a patient's immune inflammation and their reparative capacity. Given that there are many open questions surrounding the etiology and treatment of MS, we hope that this malleable platform serves as a tool for experimentalists and modellers to test and generate further hypotheses regarding this disease.

多发性硬化症(MS)是一种神经退行性疾病,在这种疾病中,免疫系统的错误、持续活动降解了神经轴突的髓鞘保护性。从历史上看,多发性硬化症的治疗依赖于涉及免疫抑制的疾病修饰疗法,例如靶向血脑屏障(BBB)来限制淋巴细胞的运动。开发中的新治疗理念旨在通过利用髓磷脂细胞对MS应激源的先天弹性或恢复其数量来促进髓磷脂生成细胞,即少突胶质细胞的数量。鉴于数学和计算模型在免疫学疾病理解方面取得的重大进展,我们寻求开发一个平台来:(1)询问我们对驱动MS发展的神经免疫学机制的理解;(2)检查不同治疗策略的影响。为此,我们提出了一种新颖的、开源的、基于主体的中枢神经系统病变发展模型。我们的模型包括T细胞、血管周围巨噬细胞和少突胶质细胞的关键种群。我们检查了模型对与疾病靶点相关的关键参数的敏感性,并得出结论,当针对少突胶质细胞的综合应激反应时,可以实现病变稳定。最重要的是,当批准的血脑屏障通透性靶向治疗和综合应激反应靶向治疗相结合时,观察到完全预防病变形成,这表明有可能在患者的免疫炎症和修复能力之间取得平衡。鉴于围绕多发性硬化症的病因和治疗有许多悬而未决的问题,我们希望这个可延展的平台可以作为实验家和建模者的工具,来测试和产生关于这种疾病的进一步假设。
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引用次数: 0
MMP release following cartilage injury leads to collagen loss in intact tissue: A computational study. 软骨损伤后MMP释放导致完整组织中胶原丢失:一项计算研究。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013209
Moustafa Hamada, Atte S A Eskelinen, Joonas P Kosonen, Cristina Florea, Alan J Grodzinsky, Petri Tanska, Rami K Korhonen

Collagen damage in articular cartilage plays a key role in post-traumatic osteoarthritis, but the underlying mechanobiological pathways leading to collagen fibril degeneration after injury remain incompletely understood. We hypothesized that mechanical injurious loading induces localized cellular damage in cartilage, which in turn triggers the release of collagen-degrading matrix metalloproteinases (MMPs) and depth-wise collagen loss. To investigate this, we developed a computational mechano-signaling model for injured bovine cartilage, in which injury-induced cell damage is caused by excessive localized shear strains, leading to downstream MMP release, and spatially heterogeneous collagen degradation. The model predictions were compared to ex vivo cartilage explant experiments over 12 days post-injury. By day 12, the simulated bulk and depth-wise collagen loss aligned with our experimental findings quantified via Fourier-transform infrared microspectroscopy imaging (~30% average loss in the model vs. ~ 35% in the experiment). The results suggest that injury-induced cell damage and the downstream MMP activity can partly explain the depth-wise collagen content loss observed in the early days after cartilage injury. Ultimately, combining the current mechanistic approach with joint-level computational models could enhance the prediction of the onset and progression of cartilage degeneration following joint trauma.

关节软骨中的胶原损伤在创伤后骨关节炎中起着关键作用,但导致损伤后胶原纤维变性的潜在机械生物学途径仍不完全清楚。我们假设机械损伤载荷诱导软骨局部细胞损伤,进而引发胶原降解基质金属蛋白酶(MMPs)的释放和深度胶原流失。为了研究这一点,我们为受伤的牛软骨开发了一个计算力学信号模型,其中损伤诱导的细胞损伤是由过度的局部剪切应变引起的,导致下游MMP释放和空间异质性胶原降解。将模型预测结果与损伤后12天的离体软骨移植实验进行比较。到第12天,模拟的胶原蛋白体积和深度损失与我们通过傅里叶变换红外显微光谱成像量化的实验结果一致(模型平均损失约30%,而实验平均损失约35%)。结果表明,损伤诱导的细胞损伤和下游MMP活性可以部分解释软骨损伤后早期观察到的深度胶原含量损失。最终,将目前的机制方法与关节水平的计算模型相结合,可以增强对关节创伤后软骨退变的发生和进展的预测。
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引用次数: 0
Higher-level spatial prediction in natural vision across mouse visual cortex. 小鼠视觉皮层自然视觉的高水平空间预测。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013136
Micha Heilbron, Floris P de Lange

Theories of predictive processing propose that sensory systems constantly predict incoming signals, based on spatial and temporal context. However, evidence for prediction in sensory cortex largely comes from artificial experiments using simple, highly predictable stimuli, that arguably encourage prediction. Here, we test for sensory prediction during natural scene perception. Specifically, we use deep generative modelling to quantify the spatial predictability of receptive field (RF) patches in natural images, and compared those predictability estimates to brain responses in the mouse visual cortex-while rigorously accounting for established tuning to a rich set of low-level image features and their local statistical context-in a large scale survey of high-density recordings from the Allen Institute Brain Observatory. This revealed four insights. First, cortical responses across the mouse visual system are shaped by sensory predictability, with more predictable image patches evoking weaker responses. Secondly, visual cortical neurons are primarily sensitive to the predictability of higher-level image features, even in neurons in the primary visual areas that are preferentially tuned to low-level visual features. Third, unpredictability sensitivity is stronger in the superficial layers of primary visual cortex, in line with predictive coding models. Finally, these spatial prediction effects are independent of recent experience, suggesting that they rely on long-term priors about the structure of the visual world. Together, these results suggest visual cortex might predominantly predict sensory information at higher levels of abstraction-a pattern bearing striking similarities to recent, successful techniques from artificial intelligence for predictive self-supervised learning.

预测处理理论提出,感觉系统不断预测传入的信号,基于空间和时间背景。然而,感觉皮层预测的证据主要来自人工实验,使用简单的、高度可预测的刺激,可以说是鼓励预测。在这里,我们测试了自然场景感知过程中的感官预测。具体来说,我们使用深度生成模型来量化自然图像中感受野(RF)斑块的空间可预测性,并将这些可预测性估计与小鼠视觉皮层中的大脑反应进行比较,同时严格考虑对丰富的低水平图像特征集及其局部统计背景的既定调整-在艾伦研究所大脑天文台的高密度记录的大规模调查中。这揭示了四个洞见。首先,整个小鼠视觉系统的皮层反应是由感官可预测性塑造的,更可预测的图像片段引发的反应更弱。其次,视觉皮质神经元主要对高级图像特征的可预测性敏感,即使在优先调整到低级视觉特征的初级视觉区域的神经元中也是如此。第三,初级视觉皮层浅层的不可预测性敏感性更强,这与预测编码模型一致。最后,这些空间预测效应与最近的经验无关,表明它们依赖于对视觉世界结构的长期先验。总之,这些结果表明,视觉皮层可能主要预测更高抽象层次的感觉信息——这种模式与最近人工智能在预测自我监督学习方面的成功技术有着惊人的相似之处。
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引用次数: 0
A wavelet-based approach generates quantitative, scale-free and hierarchical descriptions of 3D genome structures and new biological insights. 基于小波的方法生成三维基因组结构和新的生物学见解的定量,无标度和分层描述。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013887
Ryan Pellow, Josep M Comeron

Eukaryotic genomes are organized within nuclei in three-dimensional space, forming structures such as loops, topologically associating domains (TADs), and chromosome territories. This 3D architecture impacts gene regulation and development, stress responses, and disease. However, current methods to infer these 3D structures from genomic data have multiple drawbacks, including varying outcomes depending on the resolution of the analysis and sequencing depth, qualitative outputs that limit statistical comparisons, and insufficient insight into structure frequency within samples. These challenges hinder rigorous comparisons of 3D properties across genomes, conditions, or species. To overcome these issues, we developed WaveTAD, a wavelet transform-based method that provides a resolution-free, probabilistic, and hierarchical description of 3D organization. WaveTAD generates TAD strengths, capturing the variable frequency of intrachromosomal interactions within samples, and shows increased accuracy and sensitivity over existing methods. We applied WaveTAD to multiple datasets from Drosophila, mouse, and humans to illustrate new biological insights that our more sensitive and quantitative approach provides, such as the widespread presence of embryonic 3D organization before zygotic genome activation, the effect of multiple CTCF units on the stability of loops and TADs, and the association between gene expression and TAD structures in COVID-19 patients or sex-specific transcription in Drosophila.

真核生物的基因组在三维空间中被组织在细胞核内,形成环、拓扑相关结构域(TADs)和染色体区域等结构。这种3D结构影响基因调控和发育、应激反应和疾病。然而,目前从基因组数据中推断这些3D结构的方法存在多种缺点,包括根据分析分辨率和测序深度的不同而产生不同的结果,限制统计比较的定性输出,以及对样本内结构频率的了解不足。这些挑战阻碍了对基因组、条件或物种的3D特性进行严格比较。为了克服这些问题,我们开发了WaveTAD,这是一种基于小波变换的方法,可以提供3D组织的无分辨率、概率和分层描述。WaveTAD产生TAD强度,捕获样品中染色体内相互作用的可变频率,并显示出比现有方法更高的准确性和灵敏度。我们将WaveTAD应用于来自果蝇、小鼠和人类的多个数据集,以说明我们更敏感和定量的方法提供的新的生物学见解,例如在合子基因组激活之前广泛存在的胚胎3D组织,多个CTCF单元对环和TAD稳定性的影响,以及COVID-19患者中基因表达与TAD结构之间的关系或果蝇性别特异性转录。
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引用次数: 0
Anatomically aware simulation of patient-specific glioblastoma xenografts. 患者特异性胶质母细胞瘤异种移植的解剖学感知模拟。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013831
Adam A Malik, Cecilia Krona, Soumi Kundu, Philip Gerlee, Sven Nelander

Patient-derived cells (PDC) mouse xenografts are increasingly important tools in glioblastoma (GBM) research, essential to investigate case-specific growth patterns and treatment responses. Despite the central role of xenograft models in the field, few good simulation models are available to probe the dynamics of tumor growth and to support therapy design. We therefore propose a new framework for the patient-specific simulation of GBM in the mouse brain. Unlike existing methods, our simulations leverage a high-resolution map of the mouse brain anatomy to yield patient-specific results that are in good agreement with experimental observations. To facilitate the fitting of our model to histological data, we use Approximate Bayesian Computation. Because our model uses few parameters, reflecting growth, invasion and niche dependencies, it is well suited for case comparisons and for probing treatment effects. We demonstrate how our model can be used to simulate different treatment by perturbing the different model parameters. We expect in silico replicates of mouse xenograft tumors can improve the assessment of therapeutic outcomes and boost the statistical power of preclinical GBM studies.

患者源性细胞(PDC)小鼠异种移植在胶质母细胞瘤(GBM)研究中越来越重要,对于研究病例特异性生长模式和治疗反应至关重要。尽管异种移植模型在该领域发挥着核心作用,但很少有好的模拟模型可用于探索肿瘤生长动力学并支持治疗设计。因此,我们提出了一种新的框架,用于小鼠大脑中GBM的患者特异性模拟。与现有方法不同,我们的模拟利用小鼠大脑解剖的高分辨率地图来产生与实验观察结果非常一致的患者特异性结果。为了便于我们的模型与组织学数据的拟合,我们使用了近似贝叶斯计算。由于我们的模型使用了很少的参数,反映了生长、入侵和生态位依赖性,因此它非常适合于病例比较和探索治疗效果。我们演示了如何通过扰动不同的模型参数来使用我们的模型来模拟不同的处理。我们期望小鼠异种移植肿瘤的计算机复制可以改善治疗结果的评估,并提高临床前GBM研究的统计能力。
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引用次数: 0
Linking spatial drug heterogeneity to microbial growth dynamics in theory and experiment. 将空间药物异质性与微生物生长动力学的理论和实验联系起来。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013896
Zhijian Hu, Yuzhen Wu, Tomas Freire, Erida Gjini, Kevin Wood

Drugs play a central role in limiting bacterial population spread, yet laboratory studies typically assume well-mixed environments when assessing microbial drug responses. In contrast, bacteria in the human body often occupy spatially structured habitats where drug concentrations vary. Understanding how this heterogeneity shapes growth and decline is therefore essential for controlling infections and mitigating resistance evolution. Here, we developed a minimal robot-automated system to study how spatial drug heterogeneity affects short-term population dynamics in E. faecalis, a Gram-positive opportunistic pathogen. This system was combined with a theoretical framework to interpret and explain the observed outcomes. We first recapitulated the classic critical-patch-size model result: in a spatially homogeneous environment, a population persists in a finite domain only when growth outpaces diffusive losses at the boundaries. In heterogeneous environments, we found certain conditions that population persistence can depend critically on the spatial arrangement of the drug, even when its total amount is fixed. Using theoretical and experimental approaches, we identified the arrangements that produce the strongest growth and the fastest decline, revealing the range of possible outcomes under drug heterogeneity. We further tested this framework in more complex environments, including ring-shaped communities, and observed consistent arrangement-dependent behavior. Overall, our results extend the classical growth-condition framework to general heterogeneous environments and demonstrate that spatial drug arrangement - not only total dose - can strongly influence bacterial population dynamics. These findings highlight the importance of spatially structured dosing strategies and motivate further theoretical and experimental investigation.

药物在限制细菌种群传播方面发挥着核心作用,然而实验室研究通常在评估微生物药物反应时假设混合良好的环境。相比之下,人体内的细菌通常占据药物浓度变化的空间结构栖息地。因此,了解这种异质性如何影响生长和衰退对于控制感染和减轻耐药性进化至关重要。在这里,我们开发了一个最小的机器人自动化系统来研究空间药物异质性如何影响粪肠杆菌(一种革兰氏阳性机会性病原体)的短期种群动态。该系统与理论框架相结合来解释和解释观察到的结果。我们首先概括了经典的临界斑块大小模型的结果:在空间均匀的环境中,只有当增长速度超过边界上的扩散损失时,种群才能在有限域中持续存在。在异质环境中,我们发现在某些条件下,种群持久性可能严重依赖于药物的空间排列,即使其总量是固定的。利用理论和实验方法,我们确定了产生最强增长和最快下降的排列,揭示了药物异质性下可能结果的范围。我们进一步在更复杂的环境中测试了这个框架,包括环形社区,并观察到一致的安排依赖行为。总的来说,我们的研究结果将经典的生长条件框架扩展到一般的异质环境,并证明空间药物排列-不仅仅是总剂量-可以强烈影响细菌种群动态。这些发现突出了空间结构给药策略的重要性,并激发了进一步的理论和实验研究。
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引用次数: 0
Correction: Simulation insights on the compound action potential in multifascicular nerves. 更正:多束神经复合动作电位的模拟见解。
IF 3.6 2区 生物学 Q1 BIOCHEMICAL RESEARCH METHODS Pub Date : 2026-01-20 eCollection Date: 2026-01-01 DOI: 10.1371/journal.pcbi.1013902

[This corrects the article DOI: 10.1371/journal.pcbi.1013452.].

[这更正了文章DOI: 10.1371/journal.pcbi.1013452.]。
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引用次数: 0
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PLoS Computational Biology
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