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Dynamics of bacterial aggregates in microflows 微流中细菌聚集的动态变化
Pub Date : 2024-01-13 DOI: arxiv-2401.07138
Ana Carpio, Baldvin Einarsson, David R. Espeso
Biofilms are bacterial aggregates that grow on moist surfaces. Thinhomogeneous biofilms naturally formed on the walls of conducts may serve asbiosensors, providing information on the status of microsystems (MEMS) withoutdisrupting them. However, uncontrolled biofilm growth may largely disturb theenvironment they develop in, increasing the drag and clogging the tubes. Toensure controlled biofilm expansion we need to understand the effect ofexternal variables on their structure. We formulate a hybrid model for thecomputational study of biofilms growing in laminar microflows. Biomass evolvesaccording to stochastic rules for adhesion, erosion and motion, informed bynumerical approximations of the flow fields at each stage. The model is testedstudying the formation of streamers in three dimensional corner flows, gainingsome insight on the effect of external variables on their structure.
生物膜是生长在潮湿表面的细菌聚集体。在导管壁上自然形成的薄而均匀的生物膜可作为生物传感器,在不破坏微系统(MEMS)的情况下提供有关微系统状态的信息。然而,不受控制的生物膜生长可能会在很大程度上扰乱其生长环境,增加阻力并堵塞管道。为了确保生物膜的扩张受到控制,我们需要了解外部变量对其结构的影响。我们建立了一个混合模型,用于对层流微流中生长的生物膜进行计算研究。生物质根据粘附、侵蚀和运动的随机规则发生演变,每个阶段的流场都有数值近似值。该模型通过研究三维角流中流线的形成进行了测试,从而深入了解了外部变量对流线结构的影响。
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引用次数: 0
Biofilms as poroelastic materials 作为孔弹性材料的生物膜
Pub Date : 2024-01-13 DOI: arxiv-2401.07060
Ana Carpio, Elena Cebrian, Perfecto Vidal
Biofilms are bacterial aggregates encased in a self-produced polymeric matrixwhich attach to moist surfaces and are extremely resistant to chemicals andantibiotics. Recent experiments show that their structure is defined by theinterplay of elastic deformations and liquid transport within the biofilm, inresponse to the cellular activity and the interaction with the surroundingenvironment. We propose a poroelastic model for elastic deformation and liquidtransport in three dimensional biofilms spreading on agar surfaces. The motionof the boundaries can be described by the combined use of Von Karman typeapproximations for the agar/biofilm interface and thin film approximations forthe biofilm/air interface. Bacterial activity informs the macroscopiccontinuous model through source terms and residual stresses, eitherphenomenological or derived from microscopic models. We present a procedure toestimate the structure of such residual stresses, based on a simple cellularautomata description of bacterial activity. Inspired by image processing, weshow that a filtering strategy effectively smooths out the rough tensorsprovided by the stochastic cellular automata rules, allowing us to insert themin the macroscopic model without numerical instability.
生物膜是包裹在自产聚合物基质中的细菌聚集体,它们附着在潮湿的表面,对化学品和抗生素具有极强的抵抗力。最近的实验表明,生物膜的结构是由生物膜内的弹性变形和液体运输相互作用决定的,是对细胞活动以及与周围环境相互作用的反应。我们提出了一个在琼脂表面扩散的三维生物膜弹性变形和液体传输的孔弹性模型。对于琼脂/生物膜界面,可结合使用冯-卡曼近似法;对于生物膜/空气界面,可结合使用薄膜近似法来描述边界的运动。细菌活动通过源项和残余应力为宏观连续模型提供信息,源项和残余应力可以是现象学的,也可以是从微观模型中推导出来的。我们基于对细菌活动的简单细胞自动描述,提出了一种估算此类残余应力结构的方法。受图像处理的启发,我们展示了一种过滤策略,它能有效地平滑由随机细胞自动机规则提供的粗糙张量,使我们能够将其插入宏观模型而不会产生数值不稳定性。
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引用次数: 0
Biofilm mechanics and patterns 生物膜力学和模式
Pub Date : 2024-01-10 DOI: arxiv-2401.05323
Ana Carpio, Elena Cebrian, David R. Espeso, Perfecto Vidal
From multicellular tissues to bacterial colonies, three dimensional cellularstructures arise through the interaction of cellular activities and mechanicalforces. Simple bacterial communities provide model systems for analyzing suchinteraction. Biofilms are bacterial aggregates attached to wet surfaces andencased in a self-produced polymeric matrix. Biofilms in flows form filamentarystructures that contrast with the wrinkled layers observed on air/solidinterfaces. We are able to reproduce both types of shapes through elastic rodand plate models that incorporate information from the biomass production anddifferentiations process, such as growth rates, growth tensors or innerstresses, as well as constraints imposed by the interaction with environment. Amore precise study of biofilm dynamics requires tackling water absorption fromits surroundings and fluid transport within the biological system. This processalters the material properties of the biofilm and the overall stresses. Weanalyze whether poroelastic approaches can provide a suitable combineddescription of fluid-like and solid-like biofilm behavior.
从多细胞组织到细菌群落,三维细胞结构都是在细胞活动和机械力的相互作用下产生的。简单的细菌群落为分析这种相互作用提供了模型系统。生物膜是附着在潮湿表面上的细菌聚集体,并被包裹在自身产生的聚合物基质中。流动中的生物膜形成丝状结构,与在空气/固体表面观察到的皱褶层形成鲜明对比。我们能够通过弹性杆和板模型再现这两种类型的形状,这些模型结合了生物质产生和分化过程中的信息,如生长率、生长张量或内应力,以及与环境相互作用的约束条件。要对生物膜动力学进行更精确的研究,就必须解决生物膜从周围环境中吸水以及生物系统内部流体传输的问题。这一过程会改变生物膜的材料特性和整体应力。我们分析了孔弹性方法是否能对类流体和类固体生物膜行为提供合适的综合描述。
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引用次数: 0
Amplitude and Frequency encodings give cells a different lens to sense the environment 振幅和频率编码为细胞提供了感知环境的不同视角
Pub Date : 2024-01-08 DOI: arxiv-2401.04089
Alan Givré, Alejandro Colman-Lerner, Silvina Ponce Dawson
Cells continuously sense their surroundings to detect modifications andgenerate responses. Very often changes in extracellular concentrations initiatesignaling cascades that eventually result in changes in gene expression.Increasing stimulus strengths can be encoded in increasing concentrationamplitudes or increasing activation frequencies of intermediaries of thepathway. In this Letter we show how the different way in which amplitude andfrequency encoding map environmental changes impact on the cell's informationtransmission capabilities. While amplitude encoding is optimal for a limitedrange of stimuli strengths around a finite value, frequency encodinginformation transmission can improve or remain relatively flat as the stimulusstrength increases. The apparently redundant combination of both mechanisms insome cell types may then serve the purpose of expanding the range over whichstimulus strengths can be reliably discriminated. In this Letter we alsodiscuss a possible example of this mechanism.
细胞不断感知周围环境以检测变化并产生反应。细胞外浓度的变化往往会启动信号级联,最终导致基因表达的变化。刺激强度的增加可以通过增加浓度振幅或增加通路中间体的激活频率来编码。在这封信中,我们展示了振幅编码和频率编码映射环境变化的不同方式如何影响细胞的信息传递能力。振幅编码对于有限范围内的刺激强度是最佳的,而频率编码的信息传输则会随着刺激强度的增加而改善或保持相对平稳。在某些细胞类型中,这两种机制的结合显然是多余的,这可能有助于扩大刺激强度的范围,使其能够被可靠地分辨出来。在这封信中,我们还讨论了这种机制的一个可能的例子。
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引用次数: 0
Quantifying T cell morphodynamics and migration in 3D collagen matrices 量化三维胶原蛋白基质中的 T 细胞形态动力学和迁移
Pub Date : 2024-01-07 DOI: arxiv-2401.03595
Yeeren I. Low
T cells undergo large shape changes (morphodynamics) when migrating. Whileprogress has been made elucidating the molecular basis of cell migration,statistical characterization of morphodynamics and migration has been limited,particularly in physiologically realistic 3D environments. A previous study (H.Cavanagh et al., J. R. Soc. Interface 19: 20220081) found discrete states ofdynamics as well as periodic oscillations of shape. However, we show that theseresults are due to artifacts of the analysis methods. Here, we present arevised analysis of the data, applying a method based on an underdampedLangevin equation. We find that different shape modes have differentcorrelation times. We also find novel non-Gaussian effects. This study providesa framework in which quantitative comparisons of cell morphodynamics andmigration can be made, e.g. between different biological conditions ormechanistic models.
T 细胞在迁移时会发生巨大的形状变化(形态动力学)。虽然在阐明细胞迁移的分子基础方面取得了进展,但对形态动力学和迁移的统计描述还很有限,尤其是在生理上逼真的三维环境中。之前的一项研究(H.Cavanagh 等人,J. R. Soc. Interface 19: 20220081)发现了动力学的离散状态以及形状的周期性振荡。然而,我们的研究表明,这些结果是由于分析方法的误差造成的。在此,我们采用基于欠阻尼朗温方程的方法,对数据进行了详细分析。我们发现,不同的形状模式具有不同的相关时间。我们还发现了新的非高斯效应。这项研究提供了一个可以对细胞形态动力学和迁移进行定量比较的框架,例如在不同生物条件或力学模型之间进行比较。
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引用次数: 0
Cell information processing via frequency encoding and excitability 通过频率编码和兴奋性进行细胞信息处理
Pub Date : 2023-12-29 DOI: arxiv-2312.17629
Alan Givré, Silvina Ponce Dawson
Cells continuously interact with their environment and respond to changesaccordingly. Very often changes in the concentration of extracellularsubstances occur which, through receptor binding, give rise to a sequence ofintracellular changes in what is called a signaling cascade. Increasingintensities of the external stimulus can result in increasing concentrations orincreasing activation of the internal messengers or can induce a pulsatilebehavior of increasing frequency with stimulus strength. This last behavior hasbeen observed in intracellular Ca$^{2+}$ signals in which Ca$^{2+}$ is releasedfrom the endoplasmic reticulum through Inositol Trisphosphate Receptors(IP$_3$Rs), an ubiquitous signaling mechanism involved in many processes ofphysiological relevance. A statistical analysis of the time intervals betweensubsequent IP$_3$R-mediated Ca$^{2+}$ pulses observed experimentally hasrevealed an exponential dependence with the external stimulus strength inseveral cell types. This type of dependence, which is reminiscent of Kramers'law for thermally activated barrier crossing, has also been derived for certainexcitable systems. Excitable systems have a stable stationary solution and,upon perturbations that surpass a threshold, perform a long excursion in phasespace before returning to equilibrium. In this paper we use a very simplemathematical model of IP$_3$R-mediated Ca$^{2+}$ signals and publishedexperimental results to derive the scaling law between the interpulse time andthe external stimulus strength.
细胞不断与周围环境相互作用,并对变化做出相应的反应。细胞外物质的浓度经常发生变化,通过与受体结合,引起一连串细胞内变化,这就是所谓的信号级联。外部刺激强度的增加会导致内部信使的浓度增加或活化程度增加,也会诱发随刺激强度增加而频率增加的脉冲行为。在细胞内 Ca$^{2+}$ 信号中观察到了最后一种行为,其中 Ca$^{2+}$ 是通过三磷酸肌醇受体(IP$_3$Rs)从内质网释放的,这是一种无处不在的信号机制,参与了许多与生理相关的过程。通过对实验观察到的相继 IP$_3$R 介导的 Ca$^{2+}$ 脉冲之间的时间间隔进行统计分析,发现在不同类型的细胞中,外部刺激强度与 Ca$^{2+}$ 脉冲的时间间隔呈指数关系。这种依赖关系让人联想到热激活越障的克雷默定律,也适用于某些可兴奋系统。可兴奋系统有一个稳定的静态解,在受到超过阈值的扰动时,会在相空间中进行长时间的偏移,然后才会回到平衡状态。在本文中,我们使用了一个非常简单的 IP$_3$R 介导的 Ca$^{2+}$ 信号数学模型,并公布了实验结果,从而推导出脉冲间时间与外部刺激强度之间的缩放规律。
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引用次数: 0
Minimal vertex model explains how the amnioserosa avoids fluidization during Drosophila dorsal closure 最小顶点模型解释了羊膜如何在果蝇背侧闭合过程中避免流体化
Pub Date : 2023-12-20 DOI: arxiv-2312.12926
Indrajit Tah, Daniel Haertter, Janice M. Crawford, Daniel P. Kiehart, Christoph F. Schmidt, Andrea J. Liu
Dorsal closure is a process that occurs during embryogenesis of Drosophilamelanogaster. During dorsal closure, the amnioserosa (AS), a one-cell thickepithelial tissue that fills the dorsal opening, shrinks as the lateralepidermis sheets converge and eventually merge. During this process, the aspectratio of amnioserosa cells increases markedly. The standard 2-dimensionalvertex model, which successfully describes tissue sheet mechanics in multiplecontexts, would in this case predict that the tissue should fluidize via cellneighbor changes. Surprisingly, however, the amnioserosa remains an elasticsolid with no such events. We here present a minimal extension to the vertexmodel that explains how the amnioserosa can achieve this unexpected behavior.We show that continuous shrinkage of the preferred cell perimeter and cellperimeter polydispersity lead to the retention of the solid state of theamnioserosa. Our model accurately captures measured cell shape and orientationchanges and predicts non-monotonic junction tension that we confirm with laserablation experiments.
背闭合是果蝇胚胎发生过程中的一个过程。在背侧闭合过程中,填充背侧开口的单细胞厚表皮组织羊膜(AS)会随着侧表皮片的汇聚而收缩,并最终合并。在这一过程中,羊膜细胞的纵横比明显增加。标准的二维顶点模型成功地描述了多种情况下的组织片力学,在这种情况下,该模型预测组织应该通过细胞邻接变化而流动。然而,令人惊讶的是,羊膜仍然是一个弹性固体,没有发生此类事件。我们在这里提出了顶点模型的最小扩展,解释了羊膜组织如何实现这种意想不到的行为。我们的研究表明,首选细胞周长的持续收缩和细胞周长的多分散性导致了羊膜组织固态的保持。我们的模型准确地捕捉到了测量到的细胞形状和方向变化,并预测了非单调的交界张力,我们通过激光烧蚀实验证实了这一点。
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引用次数: 0
Inferring geometrical dynamics of cell nucleus translocation 推断细胞核易位的几何动态
Pub Date : 2023-12-19 DOI: arxiv-2312.12402
Sirine Amiri, Yirui Zhang, Andonis Gerardos, Cécile Sykes, Pierre Ronceray
The ability of eukaryotic cells to squeeze through constrictions is limitedby the stiffness of their large and rigid nucleus. However, migrating cells areoften able to overcome this limitation and pass through constrictions muchsmaller than their nucleus, a mechanism that is not yet understood. This iswhat we address here through a data-driven approach using microfluidic deviceswhere cells migrate through controlled narrow spaces of sizes comparable to theones encountered in physiological situations. Stochastic Force Inference isapplied to experimental nuclear trajectories and nuclear shape descriptors,resulting in equations that effectively describe this phenomenon of nucleartranslocation. By employing a model where the channel geometry is an explicitparameter and by training it over experimental data with different sizes ofconstrictions, we ensure that the resulting equations are predictive to othergeometries. Altogether, the approach developed here paves the way for amechanistic and quantitative description of dynamical cell complexity duringits motility.
真核细胞挤压通过狭小空间的能力受限于其巨大而坚硬的细胞核的硬度。然而,迁移的细胞往往能够克服这一限制,穿过比细胞核小得多的狭小空间,而这一机制尚不清楚。在这里,我们通过数据驱动的方法,利用微流体设备来解决这个问题,在这些设备中,细胞会通过受控的狭窄空间进行迁移,这些空间的大小与生理情况下遇到的空间大小相当。我们将随机力推理应用于实验核轨迹和核形状描述符,从而得出有效描述这种核迁移现象的方程。通过采用一个以通道几何形状为明确参数的模型,并在具有不同大小限制的实验数据上对其进行训练,我们确保了所得到的方程对其他几何形状具有预测性。总之,本文提出的方法为从机制上定量描述细胞运动过程中的动态复杂性铺平了道路。
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引用次数: 0
Memoryless Chemotaxis with Discrete Cues 具有离散线索的无记忆趋化现象
Pub Date : 2023-12-18 DOI: arxiv-2312.11346
Jacob Knight, Paula García-Galindo, Johannes Pausch, Gunnar Pruessner
A wide array of biological systems can navigate in shallow gradients ofchemoattractant with remarkable precision. Whilst previous approaches modelsuch systems using coarse-grained chemical density profiles, we construct adynamical model consisting of a chemotactic cell responding to discrete cueparticles. For a cell without internal memory, we derive an effective velocitywith which the cell approaches a point source of cue particles. We find thatthe effective velocity becomes negative beyond some homing radius, whichrepresents an upper bound on the distance within which chemotaxis can bereliably performed. This work lays the foundation for the analyticalcharacterisation of more detailed models of chemotaxis.
各种生物系统都能在化学吸引子的浅梯度中精确导航。以往的方法是利用粗粒度的化学密度曲线来模拟这类系统,而我们则构建了一个由对离散诱导粒子做出反应的趋化细胞组成的动力学模型。对于一个没有内部记忆的细胞,我们推导出了一个有效速度,细胞以该速度接近线索粒子的点源。我们发现,有效速度在超过一定的归巢半径后会变为负值,这代表了可以可靠地进行趋化的距离的上限。这项工作为分析描述更详细的趋化模型奠定了基础。
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引用次数: 0
Spheroidal Molecular Communication via Diffusion: Signaling Between Homogeneous Cell Aggregates 通过扩散进行球状分子交流:均质细胞聚集体之间的信号传递
Pub Date : 2023-12-07 DOI: arxiv-2312.04427
Mitra Rezaei, Hamidreza Arjmandi, Mohammad Zoofaghari, Kajsa Kanebratt, Liisa Vilen, David Janzen, Peter Gennemark, Adam Noel
Recent molecular communication (MC) research has integrated more detailedcomputational models to capture the dynamics of practical biophysical systems.This research focuses on developing realistic models for MC transceiversinspired by spheroids - three-dimensional cell aggregates commonly used inorgan-on-chip experimental systems. Potential applications that can be used ormodeled with spheroids include nutrient transport in an organ-on-chip system,the release of biomarkers or reception of drug molecules by a cancerous tumorsite, or transceiver nanomachines participating in information exchange. Inthis paper, a simple diffusive MC system is considered where a spheroidaltransmitter and receiver are in an unbounded fluid environment. Thesespheroidal antennas are modeled as porous media for diffusive signalingmolecules, then their boundary conditions and effective diffusion coefficientsare characterized. Further, for either a point source or spheroidaltransmitter, Green's function for concentration (GFC) outside and inside thereceiving spheroid is analytically derived and formulated in terms of aninfinite series and confirmed by a particle-based simulator (PBS). The providedGFCs enable computation of the transmitted and received signals in thespheroidal communication system. This study shows that the porous structure ofthe receiving spheroid amplifies diffusion signals but also disperses them,thus there is a trade-off between porosity and information transmission rate.Also, the results reveal that the porous arrangement of the transmittingspheroid not only disperses the received signal but also attenuates it. Systemperformance is also evaluated in terms of bit error rate (BER). Decreasing theporosity of the receiving spheroid is shown to enhance system performance.Conversely, reducing the porosity of the transmitting spheroid can adverselyaffect system performance.
最近的分子通讯(MC)研究整合了更详细的计算模型,以捕捉实际生物物理系统的动态。这项研究的重点是受球形体(常用于片上器官实验系统的三维细胞聚集体)的启发,开发MC收发器的现实模型。受球体启发而建立的 MC 收发器的现实模型--球体是有机芯片实验系统中常用的三维细胞聚集体。球体的潜在应用或模型可用于器官芯片系统中的营养物质运输、生物标记物的释放或癌症肿瘤部位对药物分子的接收,或参与信息交换的收发器纳米机械。本文考虑了一个简单的扩散 MC 系统,在该系统中,球形发射器和接收器处于无界流体环境中。这些球形天线被模拟为扩散信号分子的多孔介质,然后对它们的边界条件和有效扩散系数进行表征。此外,对于点源或球面发射器,接收球面内外的浓度格林函数(GFC)都是通过分析推导出来的,并以无穷级数表示,由基于粒子的模拟器(PBS)进行确认。根据所提供的 GFC,可以计算球形通信系统中的发射和接收信号。研究表明,接收球面的多孔结构会放大扩散信号,但同时也会分散信号,因此在多孔性和信息传输速率之间存在权衡。系统性能还通过误码率(BER)进行了评估。相反,降低发射球面的多孔性会对系统性能产生不利影响。
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引用次数: 0
期刊
arXiv - QuanBio - Cell Behavior
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