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Active Gaussian network model: a non-equilibrium description of protein fluctuations and allosteric behavior. 主动高斯网络模型:蛋白质波动和变构行为的非平衡描述。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-09-10 DOI: 10.1088/1478-3975/ae0081
Giulio Costantini, Lorenzo Caprini, Umberto Marini Bettolo Marconi, Fabio Cecconi

Understanding the link between structure and function in proteins is fundamental in molecular biology and proteomics. A central question in this context is whether allostery-where the binding of a molecule at one site affects the activity of a distant site-emerges as a further manifestation of the intricate interplay between structure, function, and intrinsic dynamics. This study explores how allosteric regulation is modified when intrinsic protein dynamics operates under out-of-equilibrium conditions. To this purpose, we introduce a simple non-equilibrium model of protein dynamics, inspired by active matter systems, by generalizing the widely employed Gaussian network model to incorporate non-thermal effects. Our approach underscores the advantage of framing allostery as a causal process by using, as a benchmark system, the second PDZ domain of the human phosphatase human Protein Tyrosine Phosphatase 1E that mediates protein-protein interactions. We employ causal indicators, such as response functions and transfer entropy, to identify the network of PDZ2 residues through which the allosteric signal propagates across the protein structure. These indicators reveal specific regions that align well with experimental observations. Furthermore, our results suggest that deviations from purely thermal fluctuations can significantly influence allosteric communication by introducing distinct timescales and memory effects. This influence is particularly relevant when the allosteric response unfolds on timescales incompatible with relaxation to equilibrium. Accordingly, non-thermal fluctuations may become essential for accurately describing protein responses to ligand binding and developing a comprehensive understanding of allosteric regulation.

了解蛋白质结构和功能之间的联系是分子生物学和蛋白质组学的基础。这方面的一个中心问题是变构-分子在一个位点的结合影响远端位点的活性-是否作为结构,功能,本研究探讨了当内在蛋白质动力学在非平衡条件下运行时,变构调节是如何被修改的。为此,我们引入了一个简单的非平衡蛋白质动力学模型,该模型受活性物质系统的启发,通过推广广泛使用的高斯网络模型(GNM)来纳入非热效应。我们的方法强调了将变构作为因果过程的优势,通过使用,作为基准系统,人类磷酸酶hPTP1E的第二个PDZ结构域介导蛋白质-蛋白质相互作用。我们采用因果指标,如响应函数和传递熵,来确定变构信号在蛋白质结构中传播的PDZ2残基网络。这些指标揭示了与实验观察结果非常吻合的特定区域。此外,我们的研究结果表明,纯热波动的偏差可以通过引入不同的时间尺度和记忆效应来显著影响变构通信。当变构反应在与松弛到平衡不相容的时间尺度上展开时,这种影响尤为重要。在这些情况下,非热波动对于准确描述蛋白质对配体结合的反应以及对变构调节的全面理解可能变得至关重要。
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引用次数: 0
Phenotypic heterogeneity in temporally fluctuating environments. 在时间波动环境中的表型异质性。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-08-14 DOI: 10.1088/1478-3975/adf790
Alexander P Browning, Sara Hamis

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a discrete (often binary) set of phenotypes specialised to each condition. In this work, we extend theory on both fronts to encapsulate a potentially continuous spectrum of phenotypes arising in response to environmental fluctuations that drive changes in the phenotype-dependent growth rate. We consider two broad classes of stochastic environment: those that are temporally uncorrelated (modelled by white-noise processes), and those that are correlated (modelled by Poisson and Ornstein-Uhlenbeck processes). For tractability, we restrict analysis to an exponential growth model, and consider biologically relevant simplifications that pertain to the timescale of phenotype switching relative to fluctuations in the environment. These assumptions yield a series of analytical and semi-analytical expressions that reveal environments in which phenotypic heterogeneity is evolutionarily advantageous.

许多生物系统在不确定和动态环境中调节表型异质性作为适应度最大化策略。对这些策略的分析通常局限于一组离散的环境条件,以及一组离散的(通常是二元的)专门针对每种条件的表型。在这项工作中,我们扩展了这两个方面的理论,以封装响应驱动表型依赖性生长速率变化的环境波动而产生的潜在连续表型谱。我们考虑了两大类随机环境:那些暂时不相关的(由白噪声过程建模)和那些相关的(由泊松和奥恩斯坦-乌伦贝克过程建模)。对于可追溯性,我们将分析限制为指数增长模型,并考虑与环境波动相关的表型转换时间尺度相关的生物学相关简化。这些假设产生了一系列分析性和半分析性表达,揭示了表型异质性在进化上有利的环境。
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引用次数: 0
Regulation and functional roles revealed by clustering of microarray expression data ofEscherichia coligenes. 大肠杆菌基因微阵列表达数据聚类揭示的调控及其功能作用。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-08-14 DOI: 10.1088/1478-3975/adf61a
Mishael Sánchez-Pérez, Humberto Peralta, M Cecilia Ishida-Guitierrez, Alberto Santos-Zavaleta, Irma Martínez-Flores, Faviola Tavares-Carreon, Cesaré Ovando-Vázquez

An enormous amount of gene expression data is currently available online in repositories for several organisms. Microarray data can be used to identify co-expressed genes that may be involved in the same biological process. Therefore, the analysis and interpretation of this information could help organize and understand the knowledge it contains, representing a major challenge in the post-genomic era. Here, we grouped genes ofEscherichia coliK-12 using expression data to infer meaningful transcriptional regulatory information. Our method assumes that co-expressed genes reflect functional units, as evidenced by their genetic structure, including gene arrangement, regulation, and participation in defined biological processes. These functionally linked clusters were validated with curated transcriptional regulatory information from RegulonDB. From 907 growth conditions, 420 clusters were formed involving 1674 genes. Clusters contained from 2 to 64 genes. We found that co-expressed genes participate in related metabolic pathways and share similar types of regulation (through transcription factors,σ-factors, allosteric regulation, or micro-RNA regulation). This study is helpful for identifying novel transcriptional regulatory interactions.

微阵列数据可用于鉴定可能在相同生物过程中发挥作用的共表达基因。大量的基因表达数据目前可以在网上的存储库中获得。因此,对这些信息的分析和解释可以帮助我们组织、理解和注意到它所包含的知识,这代表了后基因组时代的一个主要挑战。在这里,我们通过表达数据对大肠杆菌K-12的基因进行分组,推断出有意义的转录调控信息,即功能相关的簇,并用RegulonDB中整理的转录调控信息进行验证。我们的方法是基于这样的假设,即共表达基因反映了其遗传结构提供的功能单位,即基因的排列,它们的调控,以及它们在确定的生物过程中的参与。我们发现,共表达基因参与相同的代谢途径和调节类型(通过转录因子,σ-因子,变构调节或microRNA调节),并有助于识别新的转录调节相互作用。 。
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引用次数: 0
Temporal regulation of organelle biogenesis. 细胞器生物发生的时间调控。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-08-08 DOI: 10.1088/1478-3975/adf9af
Aniruddha Nagarajan, Smruti Dixit, Sandeep Choubey

Organelle abundance in cells is tightly regulated in response to external stimuli, but the underlying mechanisms remain poorly understood. Time-lapse imaging of fluorescently labelled organelles enables single-cell measurements of organelle copy numbers, revealing the time evolution of their distribution across a cell population. Building on a recently proposed kinetic model of organelle biogenesis, which incorporates de novo synthesis, fission, fusion, and degradation, we explore the time-dependent dynamics of organelle abundance. While previous studies focused on steady-state properties, here we calculate the first two moments of: 1) organelle copy numbers over time, and 2) first passage times to reach a specified organelle count. We show that these two moments provide a powerful means to discriminate between different mechanisms of organelle biogenesis. Notably, the time-dependent behaviour of organelle biogenesis reveals richer dynamics compared to the steady-state scenario. Our findings shed light on how cells attain steady-state organelle abundance after cell division and environmental perturbation.

细胞中的细胞器丰度受到外界刺激的严格调控,但其潜在机制尚不清楚。荧光标记细胞器的延时成像使细胞器拷贝数的单细胞测量,揭示其分布在细胞群中的时间演变。基于最近提出的细胞器生物发生的动力学模型,包括从头合成、裂变、融合和降解,我们探索了细胞器丰度的时间依赖性动力学。虽然以前的研究集中在稳态特性上,但这里我们计算了前两个时刻:1)细胞器拷贝数随时间的变化,以及2)达到指定细胞器计数的第一次传递时间。我们表明,这两个时刻提供了一个强有力的手段来区分不同的细胞器生物发生机制。值得注意的是,与稳态情景相比,细胞器生物发生的时间依赖性行为揭示了更丰富的动力学。我们的发现揭示了细胞如何在细胞分裂和环境扰动后获得稳态细胞器丰度。
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引用次数: 0
Investigating substrate binding mechanism in prolyl oligopeptidase through molecular dynamics. 从分子动力学角度研究脯氨寡肽酶的底物结合机制。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-08-05 DOI: 10.1088/1478-3975/adf429
Sylwia Czach, Katarzyna Walczewska-Szewc

Prolyl oligopeptidase (PREP) has gained attention for its role in neurodegenerative diseases, particularly through protein-protein interactions with amyloid proteins such as alpha-synuclein and Tau. Although significant research has focused on PPIs, the substrate-binding dynamics within the catalytic pocket of PREP is less understood. This study combines molecular docking and molecular dynamics simulations to investigate the behavior of known PREP substrates, including thyrotropin-releasing hormone. Our simulations reveal that TRH transitions between three preferred regions within the binding pocket, one of which is favorable for catalytic activity. The absence of a single fixed binding site near the catalytic triad region may suggest a dynamic substrate-processing mechanism. Additionally, the potential of the TRH precursor as a substrate is evaluated. Our findings highlight the utility of computational methods in the analysis of protein dynamics and enzymatic mechanisms, offering insights into the functional versatility of PREP.

脯氨酸寡肽酶(PREP)因其在神经退行性疾病中的作用而受到关注,特别是通过与淀粉样蛋白如α -突触核蛋白和Tau蛋白的蛋白-蛋白相互作用。虽然重要的研究集中在PPIs上,但对PREP催化口袋内的底物结合动力学知之甚少。本研究结合分子对接和分子动力学模拟来研究已知PREP底物的行为,包括促甲状腺激素释放激素。我们的模拟表明,TRH在结合袋内的三个优选区域之间转移,其中一个有利于催化活性。在催化三联体区域附近没有一个固定的结合位点,这可能暗示了一种动态的底物处理机制。此外,评估TRH前体作为底物的潜力。我们的研究结果强调了计算方法在蛋白质动力学和酶机制分析中的效用,为PREP的功能多功能性提供了见解。
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引用次数: 0
Movement analysis of the bilophotrichous magnetotactic bacteriaMagnetofaba australisstrain IT-1. 疏水性趋磁细菌澳洲磁藻(Magnetofaba australis)菌株IT-1的运动分析。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-07-25 DOI: 10.1088/1478-3975/adf025
Fernanda Abreu, Daniel Acosta-Avalos

Magnetotactic bacteria (MTB) are microorganisms that biomineralize intracellular magnetic nanoparticles inside a membrane vesicle/invagination. The set membrana + magnetic nanoparticle is known as magnetosome and generally magnetosomes are organized in linear chains in the cytoplasm, conferring a magnetic moment to the MTB. Due to their magnetic properties, MTB swim by following local magnetic field lines. This property makes MTB a suitable model to study bacterial movement. There are theoretical models to analyze the swimming of MTB, but the majority consider monotrichous bacteria. Only one model is related to the swimming of bilophotrichous bacteria, but they do not report the resultant trajectory parameters as a function of the magnetic field. Also, the literature lacks an experimental analysis of the trajectories of bilophotrichous MTB. The present study analyzes the movement of the bilphotrichous MTBMagnetofaba australisstrain IT-1 exposed to different magnetic field intensities. The trajectories are composed of two oscillations, one of low frequency and large amplitude and another of high frequency and small amplitude. The amplitudes show a magnetic field dependency, and the frequencies show to be magnetic field independent. The analysis of the trajectory orientation relative to the magnetic field direction shows that magnetotaxis ofM. australisfor low magnetic fields is not as efficient as expected, perhaps due to living in a liquid culture medium rich in nutrients. As far as we know, this is the first time that these movement data have been obtained, and they will be important to validate future theoretical models of movement for bilophotrichous MTB.

趋磁细菌是一种在膜囊泡/内陷中生物矿化细胞内磁性纳米颗粒的微生物。这种固定的膜+磁性纳米粒子被称为磁小体,通常磁小体在细胞质中呈线性链排列,赋予趋磁细菌一个磁矩。由于它们的磁性,趋磁细菌沿着局部磁力线游动。这种特性使趋磁细菌成为研究细菌运动的合适模型。虽然有一些理论模型来分析趋磁细菌的游动,但大多数模型考虑的是单色细菌。只有一个模型与双藻细菌的游泳有关,但他们没有报告由此产生的轨迹参数作为磁场的函数。此外,文献缺乏对双憎趋磁细菌轨迹的实验分析。本研究分析了双毛趋磁细菌澳洲磁faba australis菌株IT-1在不同磁场强度下的运动。轨迹由两种振荡组成,一种是低频大振幅振荡,另一种是高频小振幅振荡。振幅与磁场有关,而频率与磁场无关。相对于磁场方向的轨迹方向分析表明,南毛霉在低磁场下的趋磁性不如预期的有效,这可能是由于它生活在富含营养物质的液体培养基中。据我们所知,这是第一次获得这些运动数据,它们将对验证未来的双憎趋磁细菌运动理论模型具有重要意义。
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引用次数: 0
Biofilm vertical growth dynamics are captured by an active fluid framework. 生物膜垂直生长动态是由一个活跃的流体框架捕获的。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-07-11 DOI: 10.1088/1478-3975/ade928
Raymond Copeland, Peter J Yunker

Bacterial biofilms, surface-attached microbial communities, grow horizontally across surfaces and vertically above them. Although a simple heuristic model for vertical growth was experimentally shown to accurately describe the behavior of diverse microbial species, the biophysical implications and theoretical basis for this empirical model were unclear. Here, we demonstrate that this heuristic model emerges naturally from fundamental principles of active fluid dynamics. By analytically deriving solutions for an active fluid model of vertical biofilm growth, we show that the governing equations reduce to the same form as the empirical model in both early- and late-stage growth regimes. Our analysis reveals that cell death and decay rates likely play key roles in determining the characteristic parameters of vertical growth. The active fluid model produces a single, simple equation governing growth at all heights that is surprisingly simpler than the heuristic model. With this theoretical basis, we explain why the vertical growth rate reaches a maximum at a height greater than the previously identified characteristic length scale. These results provide a theoretical foundation for a simple mathematical model of vertical growth, enabling deeper understanding of how biological and biophysical factors interact during biofilm development.

细菌生物膜,附着在表面的微生物群落,在表面上水平生长,在表面上垂直生长。虽然一个简单的启发式垂直生长模型被实验证明可以准确地描述不同微生物物种的行为,但该经验模型的生物物理含义和理论基础尚不清楚。在这里,我们证明了这种启发式模型从主动流体动力学的基本原理中自然产生。通过解析推导垂直生物膜生长的主动流体模型的解,我们表明,在早期和后期生长制度中,控制方程减少到与经验模型相同的形式。我们的分析表明,细胞死亡和衰变率可能在决定垂直生长的特征参数方面发挥关键作用。活动流体模型产生一个单一的、简单的方程来控制所有高度的生长,它比启发式模型简单得令人惊讶。在此理论基础上,我们解释了为什么垂直生长速率在大于先前确定的特征长度尺度的高度处达到最大值。这些结果为垂直生长的简单数学模型提供了理论基础,使人们能够更深入地了解生物和生物物理因素在生物膜发育过程中的相互作用。
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引用次数: 0
Resource allocation to cell envelopes and the scaling of bacterial growth rate. 资源分配到细胞包膜和细菌生长速率的缩放。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-07-08 DOI: 10.1088/1478-3975/adea04
Bogi Trickovic, Michael Lynch

Although various empirical studies have reported a positive correlation between the specific growth rate and cell size across bacteria, it is currently unclear what causes this relationship. We conjecture that such scaling occurs because smaller cells have a larger surface-to-volume ratio and thus have to allocate a greater fraction of the total resources to the production of the cell envelope, leaving fewer resources for other biosynthetic processes. To test this theory, we developed a coarse-grained model of bacterial physiology composed of the proteome that converts nutrients into biomass, with the cell envelope acting as a resource sink. Assuming resources are partitioned to maximize the growth rate, the model predicts that the growth rate and ribosomal mass fraction scale negatively, while the mass fraction of envelope-producing enzymes scales positively with surface-to-volume. These relationships are compatible with growth measurements and quantitative proteomics data reported in the literature.

尽管各种实证研究已经报道了细菌的特定生长速率和细胞大小之间的正相关,但目前尚不清楚是什么导致了这种关系。我们推测,发生这种缩放是因为较小的细胞具有较大的表面体积比,因此必须分配更大比例的总资源用于细胞包膜的生产,留下更少的资源用于其他生物合成过程。为了验证这一理论,我们开发了一个粗粒度的细菌生理学模型,该模型由蛋白质组组成,将营养物质转化为生物量,细胞包膜作为资源库。假设资源被分配以最大化生长速率,该模型预测生长速率和核糖体质量分数成负比例,而产生包膜酶的质量分数随表面体积比成正比例。这些关系与文献中报道的生长测量和定量蛋白质组学数据一致。
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引用次数: 0
Why swarming insects have perplexing spatial statistics. 为什么成群的昆虫有令人困惑的空间统计。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-06-12 DOI: 10.1088/1478-3975/addf08
Andy Reynolds

Unlike flocks of birds and schools of fish that show net motion and synchronized motion, insect mating swarms are stationary and lack velocity ordering. Their collective nature when unperturbed is instead evident in their spatial statistics. In stark contrast with bird flocks, wherein the number density can fluctuate enormously from flock to flock, the number density of individuals in laboratory swarms of the midgeChironomus ripariusis approximately constant. Nonetheless, as swarms grow more populous, individuals cluster more and more. Here with the aid of stochastic trajectory models I show that these two seemingly contradictory behaviours can be attributed to the presence of multiplicative noise. The modelling also predicts that swarms are most stable when they are asymptotically large.

与鸟群和鱼群表现出净运动和同步运动不同,昆虫交配群是静止的,缺乏速度顺序。在不受干扰的情况下,它们的集体性质在它们的空间统计中表现得很明显。与鸟类种群的数量密度在不同种群间波动很大形成鲜明对比的是,河摇蚊实验室种群的个体数量密度几乎是恒定的。尽管如此,随着蜂群的数量越来越多,个体也越来越多地聚集在一起。在这里,借助随机轨迹模型,我证明了这两种看似矛盾的行为可以归因于乘法噪声的存在。该模型还预测,当群体渐近大时,它们是最稳定的。
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引用次数: 0
Methods in quantitative biology-from analysis of single-cell microscopy images to inference of predictive models for stochastic gene expression. 定量生物学的方法-从单细胞显微镜图像的分析到随机基因表达预测模型的推断。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-06-10 DOI: 10.1088/1478-3975/adda85
Luis U Aguilera, Lisa M Weber, Eric Ron, Connor R King, Kaan Öcal, Alex Popinga, Joshua Cook, Michael P May, William S Raymond, Zachary R Fox, Linda S Forero-Quintero, Jack R Forman, Alexandre David, Brian Munsky

The field of quantitative biology (q-bio) seeks to provide precise and testable explanations for observed biological phenomena by applying mathematical and computational methods. The central goals of q-bio are to (1) systematically propose quantitative hypotheses in the form of mathematical models, (2) demonstrate that these models faithfully capture a specific essence of a biological process, and (3) correctly forecast the dynamics of the process in new, and previously untested circumstances. Achieving these goals depends on accurate analysis and incorporating informative experimental data to constrain the set of potential mathematical representations. In this introductory tutorial, we provide an overview of the state of the field and introduce some of the computational methods most commonly used in q-bio. In particular, we examine experimental techniques in single-cell imaging, computational tools to process images and extract quantitative data, various mechanistic modeling approaches used to reproduce these quantitative data, and techniques for data-driven model inference and model-driven experiment design. All topics are presented in the context of additional online resources, including open-source Python notebooks and open-ended practice problems that comprise the technical content of the annual Undergraduate Quantitative Biology Summer School (UQ-Bio).

定量生物学(q-bio)旨在通过应用数学和计算方法为观察到的生物现象提供精确和可测试的解释。q-bio的核心目标是:(1)以数学模型的形式系统地提出定量假设,(2)证明这些模型忠实地捕捉了生物过程的特定本质,(3)正确地预测了新的和以前未经测试的情况下该过程的动态。实现这些目标依赖于准确的分析和结合翔实的实验数据来约束潜在的数学表示集。在本入门教程中,我们概述了该领域的现状,并介绍了q-bio中最常用的一些计算方法。特别是,我们研究了单细胞成像的实验技术,处理图像和提取定量数据的计算工具,用于再现这些定量数据的各种机制建模方法,以及数据驱动模型推理和模型驱动实验设计的技术。所有主题都在额外的在线资源的背景下呈现,包括开源Python笔记本和开放式实践问题,这些问题构成了年度本科定量生物学暑期学校(UQ-Bio)的技术内容。
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引用次数: 0
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Physical biology
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