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Balancing reaction-diffusion network for cell polarization pattern with stability and asymmetry 具有稳定性和不对称性的细胞极化模式的平衡反应-扩散网络
Pub Date : 2024-01-14 DOI: arxiv-2401.07227
Yixuan Chen, Guoye Guan, Lei-Han Tang, Chao Tang
Cell polarization is a critical process that separates molecules into twodistinct regions in prokaryotic and eukaryotic cells, guiding biologicalprocesses such as cell division and cell differentiation. Although severalunderlying antagonistic reaction-diffusion networks capable of setting up cellpolarization have been identified experimentally and theoretically, ourunderstanding of how to manipulate pattern stability and asymmetry remainsincomplete, especially when only a subset of network components are known. Herewe present numerical results to show that the polarized pattern of anantagonistic 2-node network collapses into a homogeneous state when subjectedto single-sided self-regulation, single-sided additional regulation, or unequalsystem parameters. However, polarity can be restored through a combination oftwo modifications that have opposing effects. Additionally, spatiallyinhomogeneous parameters favoring respective domains stabilize their interfaceat designated locations. To connect our findings to cell polarity studies ofthe nematode Caenorhabditis elegans zygote, we reconstituted a 5-node networkwhere a 4-node circuit with full mutual inhibitions between anterior andposterior is modified by a mutual activation in the anterior and an additionalmutual inhibition between the anterior and the posterior. Once again, a genericset of kinetic parameters moves the interface towards either the anterior orposterior end, yet a polarized pattern can be stabilized through spatial tuningof one or more parameters coupled to intracellular or extracellular cues. Auser-friendly software, PolarSim, is introduced to facilitate the explorationof networks with alternative node numbers, parameter values, and regulatorypathways.
细胞极化是一个关键过程,它将原核细胞和真核细胞中的分子分离成两个不同的区域,从而引导细胞分裂和细胞分化等生物过程。虽然已经从实验和理论上确定了几种能够建立细胞极化的基本拮抗反应-扩散网络,但我们对如何操纵模式稳定性和不对称性的理解仍然不全面,尤其是在只知道网络组件子集的情况下。在此,我们通过数值结果表明,当受到单边自我调节、单边额外调节或不平等的系统参数影响时,一个对立的双节点网络的极化模式会坍缩为均匀状态。然而,极性可以通过两种具有相反效果的修改组合来恢复。此外,有利于各自结构域的空间同质参数可将它们的界面稳定在指定位置。为了将我们的发现与线虫的细胞极性研究联系起来,我们重建了一个 5 节点网络,其中前部和后部之间具有完全相互抑制的 4 节点电路被前部的相互激活以及前部和后部之间的额外相互抑制所改变。同样,一组通用的动力学参数会将界面移向前端或后端,但极化模式可以通过与细胞内或细胞外线索相耦合的一个或多个参数的空间调整来稳定。本文介绍了一个用户友好型软件 PolarSim,以方便探索具有不同节点数、参数值和调节途径的网络。
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引用次数: 0
Cramer-Rao bound and absolute sensitivity in chemical reaction networks 化学反应网络中的克拉默-拉奥约束和绝对灵敏度
Pub Date : 2024-01-13 DOI: arxiv-2401.06987
Dimitri Loutchko, Yuki Sughiyama, Tetsuya J. Kobayashi
Chemical reaction networks (CRN) comprise an important class of models tounderstand biological functions such as cellular information processing, therobustness and control of metabolic pathways, circadian rhythms, and many more.However, any CRN describing a certain function does not act in isolation but isa part of a much larger network and as such is constantly subject to externalchanges. In [Shinar, Alon, and Feinberg. "Sensitivity and robustness inchemical reaction networks." SIAM J App Math (2009): 977-998.], the responsesof CRN to changes in the linear conserved quantities, called sensitivities,were studied in and the question of how to construct absolute, i.e.,basis-independent, sensitivities was raised. In this article, by applyinginformation geometric methods, such a construction is provided. The idea is totrack how concentration changes in a particular chemical propagate to changesof all the other chemicals within a steady state. This is encoded in the matrixof absolute sensitivites. A linear algebraic characterization of the matrix ofabsolute sensitivities for quasi-thermostatic CRN is derived via a Cramer-Raobound for CRN, which is based on the the analogy between quasi-thermostaticsteady states and the exponential family of probability distributions.
化学反应网络(CRN)是理解生物功能的一类重要模型,如细胞信息处理、新陈代谢途径的稳健性和控制、昼夜节律等。然而,任何描述某种功能的 CRN 都不是孤立的,而是一个更大网络的一部分,因此会不断受到外部变化的影响。在[Shinar、Alon 和 Feinberg。"化学反应网络的敏感性和鲁棒性"。SIAM J App Math (2009):977-998.] 中,研究了 CRN 对线性守恒量变化的响应,称为敏感性,并提出了如何构建绝对敏感性(即与基础无关的敏感性)的问题。本文通过应用信息几何方法,提供了这样一种构造。我们的想法是追踪特定化学物质的浓度变化如何传播到稳态中所有其他化学物质的变化。这在绝对敏感度矩阵中进行了编码。根据准恒温稳态与概率分布指数族之间的类比关系,通过 CRN 的 Cramer-Raobound 得出了准恒温 CRN 绝对敏感度矩阵的线性代数特征。
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引用次数: 0
Multi-Modal Representation Learning for Molecular Property Prediction: Sequence, Graph, Geometry 分子特性预测的多模式表征学习:序列、图形、几何
Pub Date : 2024-01-07 DOI: arxiv-2401.03369
Zeyu Wang, Tianyi Jiang, Jinhuan Wang, Qi Xuan
Recent years have seen a rapid growth of machine learning in cheminformaticsproblems. In order to tackle the problem of insufficient training data inreality, more and more researchers pay attention to data augmentationtechnology. However, few researchers pay attention to the problem ofconstruction rules and domain information of data, which will directly impactthe quality of augmented data and the augmentation performance. While ingraph-based molecular research, the molecular connectivity index, as a criticaltopological index, can directly or indirectly reflect the topology-basedphysicochemical properties and biological activities. In this paper, we proposea novel data augmentation technique that modifies the topology of the moleculargraph to generate augmented data with the same molecular connectivity index asthe original data. The molecular connectivity index combined with dataaugmentation technology helps to retain more topology-based molecularproperties information and generate more reliable data. Furthermore, we adoptfive benchmark datasets to test our proposed models, and the results indicatethat the augmented data generated based on important molecular topologyfeatures can effectively improve the prediction accuracy of molecularproperties, which also provides a new perspective on data augmentation incheminformatics studies.
近年来,机器学习在化学信息学问题中得到了快速发展。为了解决现实中训练数据不足的问题,越来越多的研究人员开始关注数据增强技术。然而,很少有研究人员关注数据的构造规则和领域信息问题,这将直接影响增强数据的质量和增强性能。在基于图谱的分子研究中,分子连通性指数作为一个关键的拓扑指标,可以直接或间接地反映基于拓扑的物理化学性质和生物活性。本文提出了一种新颖的数据增强技术,通过修改分子图的拓扑结构,生成与原始数据具有相同分子连通性指数的增强数据。分子连通性指数与数据增强技术相结合,有助于保留更多基于拓扑的分子特性信息,生成更可靠的数据。此外,我们采用了五个基准数据集来测试我们提出的模型,结果表明基于重要分子拓扑特征生成的增强数据能有效提高分子性质预测的准确性,这也为信息学研究中的数据增强提供了一个新的视角。
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引用次数: 0
Controlling the occurrence sequence of reaction modules through biochemical relaxation oscillators 通过生化弛豫振荡器控制反应模块的发生顺序
Pub Date : 2024-01-04 DOI: arxiv-2401.02061
Xiaopeng Shi, Chuanhou Gao, Denis Dochain
Embedding sequential computations in biochemical environments is challengingbecause the computations are carried out by chemical reactions, which areinherently disordered. In this paper we apply modular design to specificcalculations through chemical reactions and provide a design scheme ofbiochemical oscillator models in order to generate periodical species for theorder regulation of these reaction modules. We take the case of arbitrarymulti-module regulation into consideration, analyze the main errors in theregulation process under textit{mass-action kinetics} and demonstrate ourdesign scheme under existing synthetic biochemical oscillator models.
在生化环境中嵌入顺序计算具有挑战性,因为计算是通过化学反应进行的,而化学反应本身是无序的。在本文中,我们将模块化设计应用于通过化学反应进行的特定计算,并提供了一种生化振荡器模型设计方案,以便为这些反应模块的顺序调节生成周期物种。我们考虑了任意多模块调控的情况,分析了textit{mass-action kinetics}下调控过程的主要误差,并在现有合成生化振荡器模型下演示了我们的设计方案。
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引用次数: 0
Absolute concentration robustness: Algebra and geometry 绝对浓度稳健性代数与几何
Pub Date : 2023-12-29 DOI: arxiv-2401.00078
Luis David García Puente, Elizabeth Gross, Heather A Harrington, Matthew Johnston, Nicolette Meshkat, Mercedes Pérez Millán, Anne Shiu
Motivated by the question of how biological systems maintain homeostasis inchanging environments, Shinar and Feinberg introduced in 2010 the concept ofabsolute concentration robustness (ACR). A biochemical system exhibits ACR insome species if the steady-state value of that species does not depend oninitial conditions. Thus, a system with ACR can maintain a constant level ofone species even as the environment changes. Despite a great deal of interestin ACR in recent years, the following basic question remains open: How can wedetermine quickly whether a given biochemical system has ACR? Although variousapproaches to this problem have been proposed, we show that they areincomplete. Accordingly, we present new methods for deciding ACR, which harnesscomputational algebra. We illustrate our results on several biochemicalsignaling networks.
受生物系统如何在变化环境中保持平衡这一问题的启发,Shinar 和 Feinberg 于 2010 年提出了绝对浓度稳健性(ACR)的概念。如果一个生化系统中某些物种的稳态值不依赖于初始条件,那么该物种就表现出绝对浓度稳健性。因此,即使环境发生变化,具有 ACR 的系统也能保持某一物种的恒定水平。尽管近年来人们对 ACR 产生了浓厚的兴趣,但以下基本问题仍然悬而未决:我们如何才能快速确定一个给定的生化系统是否具有 ACR?尽管已经提出了解决这一问题的各种方法,但我们发现这些方法都是不完整的。因此,我们提出了利用计算代数来判定 ACR 的新方法。我们将在几个生化信号网络中说明我们的结果。
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引用次数: 0
Time-reversal symmetry breaking in the chemosensory array: asymmetric switching and dissipation-enhanced sensing 化学感知阵列中的时间逆对称破缺:非对称开关和耗散增强感应
Pub Date : 2023-12-29 DOI: arxiv-2312.17424
David Hathcock, Qiwei Yu, Yuhai Tu
The Escherichia coli chemoreceptors form an extensive array that achievescooperative and adaptive sensing of extracellular signals. The receptorscontrol the activity of histidine kinase CheA, which drives a non-equilibriumphosphorylation-dephosphorylation reaction cycle for response regulator CheY.Recent single-cell FRET measurements revealed that kinase activity of the arrayspontaneously switches between active and inactive states, with asymmetricswitching times that signify time-reversal symmetry breaking in the underlyingdynamics. Here, we show that the asymmetric switching dynamics can be explainedby a non-equilibrium lattice model, which considers both the dissipativereaction cycles of individual core units and the coupling between neighboringunits. The model reveals that large dissipation and near-critical coupling arerequired to explain the observed switching dynamics. Microscopically, theswitching time asymmetry originates from irreversible transition paths. Themodel shows that strong dissipation enables sensitive and rapid signalingresponse by relieving the speed-sensitivity trade-off, which can be tested byfuture single-cell experiments. Overall, our model provides a general frameworkfor studying biological complexes composed of coupled subunits that areindividually driven by dissipative cycles and the rich non-equilibrium physicswithin.
大肠杆菌化学感受器形成了一个广泛的阵列,可实现对细胞外信号的合作性和适应性感应。最近的单细胞 FRET 测量发现,该阵列的激酶活性在活性和非活性状态之间自发切换,切换时间不对称,这意味着基本动力学中的时间反转对称性被打破。在这里,我们展示了非对称切换动力学可以用一个非平衡晶格模型来解释,该模型既考虑了单个核心单元的耗散反应周期,也考虑了相邻单元之间的耦合。该模型显示,要解释观察到的开关动态,需要大量耗散和接近临界的耦合。从微观上看,开关时间不对称源于不可逆的转换路径。该模型表明,强耗散可以缓解速度-敏感性权衡,从而实现灵敏而快速的信号响应,这可以通过未来的单细胞实验来检验。总之,我们的模型为研究由耦合亚单位组成的生物复合物提供了一个通用框架,这些亚单位由耗散循环和其中丰富的非平衡态物理单独驱动。
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引用次数: 0
Scale invariance in early embryonic development 早期胚胎发育的规模不变性
Pub Date : 2023-12-29 DOI: arxiv-2312.17684
Miloš Nikolić, Victoria Antonetti, Feng Liu, Gentian Muhaxheri, Mariela D. Petkova, Martin Scheeler, Eric M. Smith, William Bialek, Thomas Gregor
The body plan of the fruit fly is determined by the expression of just ahandful of genes. We show that the spatial patterns of expression for severalof these genes scale precisely with the size of the embryo. Concretely,discrete positional markers such as the peaks in striped patterns have absolutepositions along the anterior-posterior axis that are proportional to embryolength, with better than 1% accuracy. Further, the information (in bits) thatgraded patterns of expression provide about position can be decomposed intoinformation about fractional or scaled position and information about absoluteposition or embryo length; all of the available information is about scaledposition, again with ~1% accuracy. These observations suggest that theunderlying genetic network exhibits scale invariance in a deeper mathematicalsense. Taking this mathematical statement seriously requires that the networkdynamics have a zero mode, which connects to many other observations on thissystem.
果蝇的体型是由少数几个基因的表达决定的。我们的研究表明,其中几个基因的表达空间模式与胚胎的大小成精确比例。具体来说,离散位置标记(如条纹图案中的峰值)沿前后轴的绝对位置与胚胎长度成正比,精确度优于 1%。此外,分级表达模式提供的位置信息(以比特为单位)可分解为分数或比例位置信息和绝对位置或胚胎长度信息;所有可用信息都是关于比例位置的,准确率同样为 ~1%。这些观察结果表明,基础遗传网络在更深层次的数学意义上表现出尺度不变性。要认真对待这一数学声明,需要网络动力学有一个零模式,这与该系统的许多其他观察结果有关。
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引用次数: 0
Co-evolution of replicators and their parasites 复制者及其寄生虫的共同进化
Pub Date : 2023-12-29 DOI: arxiv-2312.17540
Alexander Spirov
The problem of evolutionary complexification of life is considered one of thefundamental aspects in contemporary evolutionary theory. Parasitism isubiquitous, inevitable, and arises as soon as the first replicators appear,even during the prebiotic stages of evolution. Both in theoretical approaches(computer modeling and analysis) and in real experiments (replication ofbiological macromolecules), parasitic processes emerge almost immediately. Aneffective way to avoid the elimination of the host-parasite system is throughcompartmentalization. In both theory and experiments, the pressure ofparasitism leads to the complexification of the host-parasite system into anetwork of cooperative replicators and their parasites. Parasites have theability to create niches for new replicators. The co-evolutionary arms racebetween defense systems and counter-defense mechanisms among parasites andhosts can progress for a considerable duration, involving multiple stages, ifnot indefinitely.
生命进化的复杂化问题被认为是当代进化论的基本问题之一。寄生现象无处不在,不可避免,并且在第一批复制者出现时就已出现,甚至在进化的前生物阶段也是如此。无论是在理论方法(计算机建模和分析)还是在实际实验(生物大分子的复制)中,寄生过程几乎都是立即出现的。避免宿主-寄生系统消亡的一个有效方法是分隔。无论是在理论上还是在实验中,寄生的压力都会导致宿主-寄生系统复杂化,成为一个由合作复制者及其寄生者组成的网络。寄生虫有能力为新的复制者创造壁龛。寄生虫和宿主之间防御系统和反防御机制之间的共同进化军备竞赛可以持续相当长的时间,涉及多个阶段,甚至是无限期的。
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引用次数: 0
Contrastive learning through non-equilibrium memory 通过非平衡记忆进行对比学习
Pub Date : 2023-12-29 DOI: arxiv-2312.17723
Martin Falk, Adam Strupp, Benjamin Scellier, Arvind Murugan
Learning algorithms based on backpropagation have enabled transformativetechnological advances but alternatives based on local energy-based rules offerbenefits in terms of biological plausibility and decentralized training. Abroad class of such local learning rules involve textit{contrasting} a clampedconfiguration with the free, spontaneous behavior of the system. However,comparisons of clamped and free configurations require explicit memory orswitching between Hebbian and anti-Hebbian modes. Here, we show how a simpleform of implicit non-equilibrium memory in the update dynamics of each``synapse'' of a network naturally allows for contrastive learning. Duringtraining, free and clamped behaviors are shown in sequence over time using asawtooth-like temporal protocol that breaks the symmetry between those twobehaviors when combined with non-equilibrium update dynamics at each synapse.We show that the needed dynamics is implicit in integral feedback control,broadening the range of physical and biological systems naturally capable ofcontrastive learning. Finally, we show that non-equilibrium dissipationimproves learning quality and determine the Landauer energy cost of contrastivelearning through physical dynamics.
基于反向传播的学习算法带来了变革性的技术进步,但基于基于局部能量的规则的替代方案则在生物合理性和分散训练方面提供了优势。这类局部学习规则的另一个类别是将箝位配置与系统的自由、自发行为进行对比。然而,钳制配置和自由配置的比较需要显式记忆,或者在希比模式和反希比模式之间切换。在这里,我们展示了在网络的每个 "突触 "的更新动态中,隐式非平衡记忆的简单形式是如何自然地实现对比学习的。在训练过程中,自由行为和钳制行为会随着时间的推移依次出现,使用类似于awtooth的时间协议,当与每个突触的非平衡更新动力学相结合时,就会打破这两种行为之间的对称性。最后,我们证明了非平衡耗散能提高学习质量,并通过物理动力学确定了对比学习的兰道尔能量成本。
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引用次数: 0
Cellular forgetting, desensitisation, stress and aging in signalling networks. When do cells refuse to learn more? 信号网络中的细胞遗忘、脱敏、压力和衰老。细胞何时拒绝学习更多知识?
Pub Date : 2023-12-28 DOI: arxiv-2312.16875
Tamas Veres, Mark Kerestely, Borbala M. Kovacs, David Keresztes, Klara Schulc, Erik Seitz, Zsolt Vassy, Daniel V. Veres, Peter Csermely
Recent findings show that single, non-neuronal cells are also able to learnsignalling responses developing cellular memory. In cellular learning nodes ofsignalling networks strengthen their interactions e.g. by the conformationalmemory of intrinsically disordered proteins, protein translocation, miRNAs,lncRNAs, chromatin memory and signalling cascades. This can be described by ageneralized, unicellular Hebbian learning process, where those signallingconnections, which participate in learning, become stronger. Here we reviewthose scenarios, where cellular signalling is not only repeated in a few times(when learning occurs), but becomes too frequent, too large, or too complex andoverloads the cell. This leads to desensitisation of signalling networks bydecoupling signalling components, receptor internalization, and consequentdownregulation. These molecular processes are examples of anti-Hebbian learningand forgetting of signalling networks. Stress can be perceived as signallingoverload inducing the desensitisation of signalling pathways. Aging occurs bythe summative effects of cumulative stress downregulating signalling. Wepropose that cellular learning desensitisation, stress and aging may be placedalong the same axis of more and more intensive (prolonged or repeated)signalling. We discuss how cells might discriminate between repeated andunexpected signals, and highlight the Hebbian and anti-Hebbian mechanismsbehind the fold-change detection in the NF-k{appa}B signalling pathway. Welist drug design methods using Hebbian learning (such as chemically-inducedproximity) and clinical treatment modalities inducing (cancer, drug allergies)desensitisation or avoiding drug-induced desensitisation. A betterdiscrimination between cellular learning, desensitisation and stress may opennovel directions in drug design, e.g., helping to overcome drug-resistance.
最近的研究结果表明,单个非神经元细胞也能够学习信号反应,形成细胞记忆。在细胞学习过程中,信号网络的节点会通过固有紊乱蛋白的构象记忆、蛋白质转位、miRNAs、lncRNAs、染色质记忆和信号级联等方式加强它们之间的相互作用。这可以用广义的、单细胞的希比学习过程来描述,在这个过程中,参与学习的信号连接会变得更强。在这里,我们将回顾那些细胞信号不仅会重复几次(当学习发生时),而且会变得过于频繁、过于庞大或过于复杂并使细胞超负荷的情况。这就导致信号网络脱敏,信号成分脱钩,受体内化,以及随之而来的降调。这些分子过程是信号网络反希比安学习和遗忘的例子。压力可被视为信号超载,导致信号通路脱敏。衰老的发生是由于累积应激的累积效应下调了信号。我们提出,细胞学习脱敏、压力和衰老可能被置于同一轴线上,即越来越密集(长期或重复)的信号。我们讨论了细胞如何区分重复信号和预期信号,并强调了NF-k{appa}B信号通路中折叠变化检测背后的希比和反希比机制。欢迎使用希比安学习(如化学诱导接近)和临床治疗模式诱导(癌症、药物过敏)脱敏或避免药物诱导脱敏的药物设计方法。更好地区分细胞学习、脱敏和应激可能为药物设计开辟新的方向,例如有助于克服耐药性。
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引用次数: 0
期刊
arXiv - QuanBio - Molecular Networks
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