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Energy injection in an epithelial cell monolayer indicated by negative viscosity. 能量注入上皮细胞单层显示负黏度。
Pub Date : 2025-10-01 Epub Date: 2025-12-04 DOI: 10.1103/9lnm-gm3j
Molly McCord, Jacob Notbohm

Epithelial tissues are driven out of thermodynamic equilibrium by internally generated forces, causing complex patterns of motion. Even when both the forces and motion are measurable, it is not yet possible to relate the two, because the sources of energy injection and dissipation are often unclear. Here, we study how energy is transferred by developing a method to measure the effective viscosity from the shear stresses and strain rates within an epithelial cell monolayer. Interestingly, there emerged multicellular regions in which the relationship between shear stress and shear strain rate was negatively proportional, indicating a negative effective viscosity. The negative effective viscosity occurred in regions wherein cell stresses were less efficient at producing tissue deformations compared to regions of positive effective viscosity. Regions of negative effective viscosity consistently exhibited greater cell speed and vorticity, and the cells had elevated metabolic activity, reflecting an increased energy demand in these cells. Our study shows that negative effective viscosity is a useful means of quantifying the flow of energy in living matter.

上皮组织被内部产生的力驱动出热力学平衡,导致复杂的运动模式。即使力和运动都是可测量的,也不可能将两者联系起来,因为能量注入和耗散的来源往往不清楚。在这里,我们通过开发一种方法来测量上皮细胞单层内的剪切应力和应变率的有效粘度来研究能量是如何转移的。有趣的是,出现了剪切应力和剪切应变率成反比的多细胞区域,表明有效粘度为负。负的有效粘度发生在区域,其中细胞应力在产生组织变形效率较低的区域相比,正的有效粘度。负有效黏度区域始终表现出更高的细胞速度和涡度,细胞代谢活性升高,反映了这些细胞中能量需求的增加。我们的研究表明,负有效粘度是量化生命物质中能量流动的有用手段。
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引用次数: 0
Collective Dynamics of Frustrated Biological Neuron Networks. 受挫生物神经元网络的集体动力学。
Pub Date : 2025-07-01 Epub Date: 2025-07-02 DOI: 10.1103/1258-cl48
Guanyu Li, Ryan LeFebre, Alia Starman, Patrick Chappell, Andrew Mugler, Bo Sun

To maintain normal functionality, it is necessary for a multicellular organism to generate robust responses to external temporal signals. However, the underlying mechanisms to coordinate the collective dynamics of cells remain poorly understood. Here, we study the calcium activity of biological neuron networks excited by periodic ATP stimuli. We use micropatterning to control the cells' physical connectivity. We find that whereas isolated cells become more synchronized in their calcium activity at long driving periods, connected cells become less synchronized, despite expressing more gap junctions which enable calcium exchange. To understand this result, we use a mathematical model in which a bifurcation analysis has previously shown coupling-induced desynchronization in an oscillatory network. Using parameters close to this bifurcation but in the excitable regime, we find that this desynchronization persists and can explain the experimental observations. The model further predicts that co-culturing with gap-junction-deficient cells should restore synchronization, which experiments confirm. Combining quantitative experiments, the physical and biological manipulation of cells, and mathematical modeling, our results suggest that cell-to-cell connectivity significantly affects how populations encode an external temporal signal as it slows down: Sparse networks synchronize due to longer entrainment, whereas highly connected networks can desynchronize due to dynamic frustration.

为了维持正常的功能,多细胞生物必须对外部时间信号产生强大的反应。然而,协调细胞集体动力学的潜在机制仍然知之甚少。在这里,我们研究了周期性ATP刺激下生物神经元网络的钙活性。我们使用微模式来控制细胞的物理连接。我们发现,在长时间的驱动过程中,孤立的细胞在钙活性方面变得更加同步,而连接的细胞变得不那么同步,尽管表达了更多的间隙连接,使钙交换成为可能。为了理解这一结果,我们使用了一个数学模型,其中的分岔分析先前已经显示了振荡网络中耦合诱导的去同步。使用接近该分岔的参数,但在可激发状态下,我们发现这种非同步持续存在,并且可以解释实验观察结果。该模型进一步预测,与间隙连接缺陷细胞共培养应恢复同步,实验证实了这一点。结合定量实验、细胞的物理和生物操作以及数学建模,我们的研究结果表明,细胞间的连接显著影响种群如何编码外部时间信号,因为它减慢了:稀疏网络由于更长的携带而同步,而高度连接的网络可能由于动态挫折而不同步。
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引用次数: 0
Universal Niche Geometry Governs the Response of Ecosystems to Environmental Perturbations. 通用生态位几何控制生态系统对环境扰动的响应。
Pub Date : 2025-02-01 Epub Date: 2025-02-13 DOI: 10.1103/prxlife.3.013010
Akshit Goyal, Jason W Rocks, Pankaj Mehta

How ecosystems respond to environmental perturbations is a fundamental question in ecology, made especially challenging due to the strong coupling between species and their environment. Here, we introduce a theoretical framework for calculating the steady-state response of ecosystems to environmental perturbations in generalized consumer-resource models. Our construction is applicable to a wide class of systems, including models with nonreciprocal interactions, cross-feeding, and nonlinear growth/consumption rates. Within our framework, all ecological variables are embedded into four distinct vector spaces, and ecological interactions are represented by geometric transformations between these spaces. We show that, near a steady state, such geometric transformations directly map environmental perturbations-in resource availability and mortality rates-to shifts in niche structure. We illustrate these ideas in a variety of settings including a minimal model for pH-induced toxicity in bacterial denitrification. We end by discussing the biological implications of our framework. We show that it is extremely difficult to distinguish cooperative and competitive interactions by measuring the responses of species to external perturbations.

生态系统如何应对环境扰动是生态学中的一个基本问题,由于物种与其环境之间的强耦合,这一问题尤其具有挑战性。在这里,我们引入了一个理论框架来计算广义消费者-资源模型中生态系统对环境扰动的稳态响应。我们的构造适用于广泛的系统类别,包括具有非互反相互作用、交叉馈送和非线性增长/消耗率的模型。在我们的框架中,所有的生态变量都嵌入到四个不同的向量空间中,生态相互作用由这些空间之间的几何变换来表示。我们表明,在接近稳定状态时,这种几何变换直接将环境扰动(资源可用性和死亡率)映射到生态位结构的变化。我们在各种环境中说明了这些想法,包括细菌反硝化中ph诱导毒性的最小模型。最后,我们将讨论我们的框架的生物学含义。我们表明,通过测量物种对外部扰动的反应来区分合作和竞争相互作用是极其困难的。
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引用次数: 0
Confinement, Jamming, and Adhesion in Cancer Cells Dissociating from a Collectively Invading Strand. 癌细胞与集体入侵链分离时的限制、干扰和粘附。
Pub Date : 2025-01-01 Epub Date: 2025-02-25 DOI: 10.1103/prxlife.3.013012
Wei Wang, Robert A Law, Emiliano Perez Ipiña, Konstantinos Konstantopoulos, Brian A Camley

When cells in a primary tumor work together to invade into nearby tissue, this can lead to cell dissociations-cancer cells breaking off from the invading front-leading to metastasis. What controls the dissociation of cells and whether they break off singly or in small groups? Can this be determined by cell-cell adhesion or chemotactic cues given to cells? We develop a physical model for this question, based on experiments that mimic aspects of cancer cell invasion using microfluidic devices with microchannels of different widths. Experimentally, most dissociation events ("ruptures") involve single cells breaking off, but we observe some ruptures of large groups (~20 cells) in wider channels. The rupture probability is nearly independent of channel width. We recapitulate the experimental results with a phase-field cell motility model by introducing three different cell states (follower, guided, and high-motility "leader" cells) based on their spatial position. These leader cells may explain why single-cell rupture is the universal most probable outcome. Our simulation results show that cell-channel adhesion is necessary for cells in narrow channels to invade, and strong cell-cell adhesion leads to fewer but larger ruptures. Chemotaxis also influences the rupture behavior: Strong chemotaxis strength leads to larger and faster ruptures. Finally, we study the relationship between biological jamming transitions and cell dissociations. Our results suggest unjamming is necessary but not sufficient to create ruptures.

当原发肿瘤中的细胞一起侵入附近的组织时,这可能导致细胞分离——癌细胞从入侵的前线脱落——从而导致转移。是什么控制着细胞的分离,以及它们是单独分离还是成群分离?这可以通过细胞粘附或给予细胞的趋化线索来确定吗?我们针对这个问题开发了一个物理模型,基于使用具有不同宽度微通道的微流体装置模拟癌细胞侵袭的实验。在实验中,大多数解离事件(“破裂”)涉及单个细胞的断裂,但我们观察到一些大群体(约20个细胞)在更宽的通道中破裂。破裂概率几乎与通道宽度无关。我们通过引入三种不同的细胞状态(跟随、引导和高运动性“领导”细胞),基于它们的空间位置,用相场细胞运动模型概括了实验结果。这些领导细胞可以解释为什么单细胞破裂是普遍最可能的结果。我们的模拟结果表明,细胞通道的黏附是狭窄通道中细胞入侵的必要条件,强的细胞-细胞黏附导致更少但更大的破裂。趋化性也影响断裂行为:强的趋化性强度导致更大更快的断裂。最后,我们研究了生物干扰转变与细胞分离之间的关系。我们的结果表明,疏解是必要的,但不足以造成破裂。
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引用次数: 0
Protein folding as a jamming transition. 作为干扰过渡的蛋白质折叠。
Pub Date : 2025-01-01 Epub Date: 2025-03-27 DOI: 10.1103/prxlife.3.013018
Alex T Grigas, Zhuoyi Liu, Jack A Logan, Mark D Shattuck, Corey S O'Hern

Proteins fold to a specific functional conformation with a densely packed core that controls their stability. Despite their importance, we lack a quantitative explanation for why all protein cores, regardless of their overall fold, possess the same average packing fraction ϕ 0.55 . However, important developments in the physics of jamming in particulate systems can shed light on the packing of protein cores. Here, we extend the framework of jamming to describe core packing in collapsed polymers, as well as in all-atom models of folded proteins. First, we show in a spherical bead-spring polymer model (with and without bond-angle constraints) that as the hydrophobic interactions increase relative to thermal fluctuations, a jamming-like transition occurs when the core packing fraction exceeds ϕ c with the same power-law scaling behavior for the potential energy V r , excess contact number Δ N , and characteristic frequency of the vibrational density of states ω * versus Δ ϕ = ϕ - ϕ c as that for jammed particulate systems. Then, we develop an all-atom model for proteins and find that, above ϕ c ~ 0.55 , protein cores undergo a jamming-like transition, but with anomalous power-law scaling for V r , Δ N , and ω * versus Δ ϕ . The all-atom protein model remains close to the native protein structure during jamming and accurately refolds from partially unfolded states.

蛋白质折叠成特定的功能构象,其密集排列的核心控制着它们的稳定性。尽管它们很重要,但我们缺乏定量解释为什么所有蛋白质核心,无论其整体折叠如何,都具有相同的平均包装分数⟨ϕ⟩≈0.55。然而,粒子系统中干扰物理学的重要发展可以揭示蛋白质核心的包装。在这里,我们将干扰的框架扩展到描述折叠聚合物中的核心填充,以及折叠蛋白质的全原子模型。首先,我们在一个球形bead-spring聚合物模型(有或没有键角约束),随着疏水相互作用增加相对于热波动,jamming-like过渡时的核心包装分数超过ϕc相同的幂律的扩展行为的势能V r,多余的联系电话ΔN,特征频率振动的态密度ω*与Δϕ=ϕ-ϕ堵塞微粒系统的c。然后,我们开发了蛋白质的全原子模型,发现在φ c ~ 0.55以上,蛋白质核心经历了类似干扰的转变,但对于V r, Δ N和ω *与Δ φ具有异常的幂律缩放。全原子蛋白质模型在干扰过程中保持接近天然蛋白质结构,并从部分展开状态精确地重新折叠。
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引用次数: 0
Hair Cells in the Cochlea Must Tune Resonant Modes to the Edge of Instability without Destabilizing Collective Modes. 耳蜗中的毛细胞必须将共振模式调整到不稳定的边缘而不破坏集体模式。
Pub Date : 2025-01-01 Epub Date: 2025-01-02 DOI: 10.1103/prxlife.3.013001
Asheesh S Momi, Michael C Abbott, Julian Rubinfien, Benjamin B Machta, Isabella R Graf

Sound produces surface waves along the cochlea's basilar membrane. To achieve the ear's astonishing frequency resolution and sensitivity to faint sounds, dissipation in the cochlea must be canceled via active processes in hair cells, effectively bringing the cochlea to the edge of instability. But how can the cochlea be globally tuned to the edge of instability with only local feedback? To address this question, we use a discretized version of a standard model of basilar membrane dynamics but with an explicit contribution from active processes in hair cells. Surprisingly, we find the basilar membrane supports two qualitatively distinct sets of modes: a continuum of localized modes and a small number of collective extended modes. Localized modes sharply peak at their resonant position and are largely uncoupled. As a result, they can be amplified almost independently from each other by local hair cells via feedback reminiscent of self-organized criticality. However, this amplification can destabilize the collective extended modes; avoiding such instabilities places limits on possible molecular mechanisms for active feedback in hair cells. Our work illuminates how and under what conditions individual hair cells can collectively create a critical cochlea.

声音沿耳蜗基底膜产生表面波。为了实现耳朵惊人的频率分辨率和对微弱声音的敏感性,耳蜗中的耗散必须通过毛细胞的活跃过程来消除,从而有效地将耳蜗带到不稳定的边缘。但是,耳蜗是如何在只有局部反馈的情况下全局调整到不稳定的边缘的呢?为了解决这个问题,我们使用了基底膜动力学标准模型的离散版本,但毛细胞中的活性过程有明确的贡献。令人惊讶的是,我们发现基底膜支持两种性质不同的模态:连续的局部模态和少量的集体扩展模态。局域模式在其共振位置急剧达到峰值,并且在很大程度上是不耦合的。因此,它们可以通过反馈被局部毛细胞放大,使人联想到自组织临界。然而,这种放大会破坏集体扩展模态的稳定性;避免这种不稳定性限制了毛细胞主动反馈的可能分子机制。我们的工作阐明了单个毛细胞如何以及在什么条件下共同形成一个关键的耳蜗。
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引用次数: 0
Coupled Dynamics in Phenotype and Tissue Spaces Shape the Three-Dimensional Cancer Invasion. 表型和组织空间的耦合动力学塑造了三维癌症侵袭。
Pub Date : 2024-12-01 Epub Date: 2024-12-24 DOI: 10.1103/prxlife.2.043022
Austin Naylor, Maximilian Libmann, Izabel Raab, Wouter-Jan Rappel, Bo Sun

The metastasis of solid tumors hinges on cancer cells navigating through complex three-dimensional tissue environments, characterized by mechanical heterogeneity and biological diversity. This process is closely linked to the dynamic migration behavior exhibited by cancer cells, which dictates the invasiveness of tumors. In our study, we investigate tumor spheroids composed of breast cancer cells embedded in three-dimensional (3D) collagen matrices. Through a combination of quantitative experiments, artificial-intelligence-driven image processing, and mathematical modeling, we uncover rapid transitions in cell phenotypes and phenotype-dependent motility among disseminating cells originating from tumor spheroids. Persistent invasion leads to continuous remodeling of the extracellular matrix surrounding the spheroids, altering the landscape of migration phenotypes. Consequently, filopodial cells emerge as the predominant phenotype across diverse extracellular matrix conditions. Our findings unveil the complex mesoscale dynamics of invading tumor spheroids, shedding light on the complex interplay between migration phenotype plasticity, microenvironment remodeling, and cell motility within 3D extracellular matrices.

实体肿瘤的转移取决于癌细胞在复杂的三维组织环境中导航,其特征是机械异质性和生物多样性。这一过程与癌细胞表现出的动态迁移行为密切相关,这决定了肿瘤的侵袭性。在我们的研究中,我们研究了由嵌入三维(3D)胶原基质的乳腺癌细胞组成的肿瘤球体。通过定量实验、人工智能驱动的图像处理和数学建模的结合,我们揭示了源自肿瘤球体的播散细胞中细胞表型和表型依赖运动的快速转变。持续的侵袭导致球体周围细胞外基质的持续重塑,改变了迁移表型的景观。因此,在不同的细胞外基质条件下,丝状细胞作为主要表型出现。我们的发现揭示了侵袭肿瘤球体的复杂中尺度动力学,揭示了三维细胞外基质中迁移表型可塑性、微环境重塑和细胞运动性之间复杂的相互作用。
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引用次数: 0
Transiently increased coordination in gene regulation during cell phenotypic transitions. 在细胞表型转变过程中基因调控的短暂性协调增加。
Pub Date : 2024-12-01 Epub Date: 2024-11-05 DOI: 10.1103/prxlife.2.043009
Weikang Wang, Ke Ni, Dante Poe, Jianhua Xing

Phenotype transitions occur in many biological processes such as differentiation and reprogramming. A fundamental question is how cells coordinate switching of gene expression clusters. By analyzing single-cell RNA sequencing data within the framework of transition path theory, we studied the genome-wide expression program switching in five different cell transition processes. For each process we reconstructed a reaction coordinate describing the transition progression, and inferred the gene regulatory network along this reaction coordinate. In all processes we observed a common pattern: the overall effective number and strength of regulation between different communities increase first and then decrease. This change is accompanied by similar changes in gene regulatory network frustration-defined as the overall conflict between the regulation received by genes and their expression states. Complementing previous studies suggesting that biological networks are modularized to contain perturbation effects locally, our analyses on the five cell transition processes likely reveal a general principle: during a cell phenotypic transition, intercommunity interactions increase to concertedly coordinate global gene expression reprogramming and canalize to specific cell phenotype, as Waddington visioned.

表型转变发生在许多生物过程中,如分化和重编程。一个基本的问题是细胞如何协调基因表达簇的转换。通过在过渡路径理论框架下分析单细胞RNA测序数据,我们研究了全基因组表达程序在五种不同细胞过渡过程中的转换。对于每个过程,我们重建了一个描述过渡过程的反应坐标,并沿着这个反应坐标推断了基因调控网络。在所有过程中,我们观察到一个共同的模式:不同群落之间的总体有效调控数量和强度先增加后减少。这种变化伴随着基因调控网络挫折的类似变化——被定义为基因接受的调控与其表达状态之间的总体冲突。补充先前的研究表明,生物网络是模块化的,以局部包含扰动效应,我们对五种细胞转变过程的分析可能揭示了一个普遍的原则:在细胞表型转变过程中,群落间的相互作用增加,以协调全局基因表达重编程,并向特定细胞表型转移,正如Waddington所设想的那样。
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引用次数: 0
Jointly Embedding Protein Structures and Sequences through Residue Level Alignment. 通过残基水平比对联合嵌入蛋白质结构和序列。
Pub Date : 2024-11-01 Epub Date: 2024-11-19 DOI: 10.1103/prxlife.2.043013
Foster Birnbaum, Saachi Jain, Aleksander Madry, Amy E Keating

The relationships between protein sequences, structures, and functions are determined by complex codes that scientists aim to decipher. While structures contain key information about proteins' biochemical functions, they are often experimentally difficult to obtain. In contrast, protein sequences are abundant but are a step removed from function. In this paper, we propose residue level alignment (RLA)-a self-supervised objective for aligning sequence and structure embedding spaces. By situating sequence and structure encoders within the same latent space, RLA enriches the sequence encoder with spatial information. Moreover, our framework enables us to measure the similarity between a sequence and structure by comparing their RLA embeddings. We show how RLA similarity scores can be used for binder design by selecting true binders from sets of designed binders. RLA scores are informative even when they are calculated given only the backbone structure of the binder and no binder sequence information, which simulates the information available in many early-stage binder design libraries. RLA performs similarly to benchmark methods and is orders of magnitude faster, making it a valuable new screening tool for binder design pipelines.

蛋白质序列、结构和功能之间的关系是由科学家试图破译的复杂密码决定的。虽然结构包含有关蛋白质生化功能的关键信息,但它们通常难以通过实验获得。相比之下,蛋白质序列丰富,但离功能还差一步。本文提出了残差水平对齐(RLA)——一种序列和结构嵌入空间对齐的自监督目标。RLA通过将序列编码器和结构编码器置于同一潜在空间内,使序列编码器具有丰富的空间信息。此外,我们的框架使我们能够通过比较它们的RLA嵌入来测量序列和结构之间的相似性。我们展示了RLA相似度分数如何通过从设计的粘合剂集中选择真正的粘合剂来用于粘合剂设计。即使计算RLA分数时只考虑粘合剂的主干结构而不考虑粘合剂序列信息,RLA分数也是有信息量的,这模拟了许多早期粘合剂设计库中可用的信息。RLA的性能与基准方法相似,并且速度快了几个数量级,使其成为粘合剂设计管道的有价值的新筛选工具。
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引用次数: 0
Bifurcation enhances temporal information encoding in the olfactory periphery. 分岔增强了嗅觉外周的时间信息编码。
Pub Date : 2024-11-01 Epub Date: 2024-11-12 DOI: 10.1103/prxlife.2.043011
Kiri Choi, Will Rosenbluth, Isabella R Graf, Nirag Kadakia, Thierry Emonet

Living systems continually respond to signals from the surrounding environment. Survival requires that their responses adapt quickly and robustly to the changes in the environment. One particularly challenging example is olfactory navigation in turbulent plumes, where animals experience highly intermittent odor signals while odor concentration varies over many length- and timescales. Here, we show theoretically that Drosophila olfactory receptor neurons (ORNs) can exploit proximity to a bifurcation point of their firing dynamics to reliably extract information about the timing and intensity of fluctuations in the odor signal, which have been shown to be critical for odor-guided navigation. Close to the bifurcation, the system is intrinsically invariant to signal variance, and information about the timing, duration, and intensity of odor fluctuations is transferred efficiently. Importantly, we find that proximity to the bifurcation is maintained by mean adaptation alone and therefore does not require any additional feedback mechanism or fine-tuning. Using a biophysical model with calcium-based feedback, we demonstrate that this mechanism can explain the measured adaptation characteristics of Drosophila ORNs.

生命系统不断地对来自周围环境的信号作出反应。生存要求它们的反应迅速而有力地适应环境的变化。一个特别具有挑战性的例子是湍流羽流中的嗅觉导航,在湍流羽流中,动物体验到高度间歇性的气味信号,而气味浓度在许多长度和时间尺度上变化。在这里,我们从理论上证明了果蝇嗅觉受体神经元(orn)可以利用接近其放电动力学的分岔点来可靠地提取有关气味信号波动的时间和强度的信息,这些信息已被证明对气味引导导航至关重要。在分岔点附近,系统对信号的变化具有内在的不变性,并且可以有效地传递有关气味波动的时间、持续时间和强度的信息。重要的是,我们发现接近分岔是由平均适应单独维持的,因此不需要任何额外的反馈机制或微调。利用基于钙反馈的生物物理模型,我们证明了这一机制可以解释果蝇的适应特征。
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引用次数: 0
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