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Extending the Gaussian network model: integrating local, allosteric, and structural factors for improved residue-residue correlation analysis. 扩展高斯网络模型:整合局部、变构和结构因素以改进残馀-残馀相关分析。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-11-20 DOI: 10.1088/1478-3975/ae1dc1
Burak Erman

The Gaussian network model (GNM) has been successful in explaining protein dynamics by modeling proteins as elastic networks of alpha carbons connected by harmonic springs. However, its uniform interaction assumption and neglect of higher-order correlations limit its accuracy in predicting experimental B-factors and residue cross-correlations critical for understanding allostery and information transfer. This study introduces an information-theoretic enhancement to the GNM, incorporating mutual information-based corrections to the Kirchhoff matrix to account for multi-body interactions and contextual residue dynamics. By iteratively optimizing B-factor predictions and applying a Monte Carlo-driven maximum entropy approach to refine covariances, our method achieves significant improvements, reducing RMSDs between predicted and experimental B-factors by 26%-46% across nine representative proteins. The model contextualizes residue assignments based on local density, solvent exposure, and allosteric roles, showing complex dynamic patterns beyond simple neighbor counts. Enhanced predictions of mutual information and entropy perturbations in proteins like KRAS improve the identification of spanning trees containing key residues, which may correspond to allosteric communication pathways. This evolvable framework, capable of incorporating additional effects and utilizing contextual residue assignments, enables precise studies of mutation effects on protein dynamics, with improved cross-correlation predictions potentially increasing accuracy in drug design and function prediction.

高斯网络模型(GNM)通过将蛋白质建模为由谐波弹簧连接的α碳弹性网络,成功地解释了蛋白质动力学。然而,其统一的相互作用假设和对高阶相关性的忽视限制了其预测实验b因子和残差互相关性的准确性,而这对理解变构和信息传递至关重要。本研究引入了对GNM的信息论增强,将基于相互信息的Kirchhoff矩阵修正纳入考虑多体相互作用和上下文剩余动力学的Kirchhoff矩阵。通过迭代优化b因子预测并应用蒙特卡罗驱动的最大熵方法来细化协方差,我们的方法取得了显著的改进,将9种代表性蛋白质的预测和实验b因子之间的rmsd降低了26-46%。该模型将基于局部密度、溶剂暴露和变构作用的残留物分配上下文化,显示出复杂的动态模式,而不仅仅是简单的邻居计数。对互信息和熵扰动的增强预测提高了对包含关键残基的生成树的识别,这些残基可能对应于变构通信途径。这种可进化的框架,能够结合额外的影响和利用上下文残基分配,能够精确地研究突变对蛋白质动力学的影响,并具有改进的相互关联预测,可能提高药物设计和功能预测的准确性。
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引用次数: 0
Stability of quorum sensing decision states in heterogeneous bacterial communities. 异种细菌群落群体感应决策状态的稳定性。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-11-18 DOI: 10.1088/1478-3975/ae1c0f
Soumya Das, Enes Haxhimali, James Q Boedicker

Bacteria utilize cell-cell signaling to coordinate gene expression in populations of cells. Bacterial signal exchange was originally interpreted as a mechanism bacteria use to regulate gene expression in response to changes in cell density, denoted as quorum sensing. Bacterial communication is now known to encompass the exchange of multiple chemical signals between different species of bacteria. Such signal crosstalk within communities of bacteria can have unexpected consequences. Some bacterial species even utilize more than one orthogonal signaling molecule, enabling such species to simultaneously communicate within distinct subsets of species. Such cells utilizing two sets of signals act as a bridge to link gene expression states within the community. Here, a mathematical model was implemented to investigate the consequences of multi-signal communication within heterogeneous bacterial communities. The model was inspired by simple neural networks, with nodes representing bacterial species and directed weights between nodes accounting for the impacts of inter-species signal exchange on gene expression. The activity state of such a network is defined as the gene expression state of each species within the community. Using the model, the stability of the activity states of such networks to changes in signal concentration and population size were quantified. Networks exchanging one set of signals were compared to network exchanging two orthogonal sets of signals. A multilayer neural network model was developed to analyze such networks exchanging orthogonal sets of signals. The model reveals that signal crosstalk increased the activity of the network. These networks were largely resilient to perturbation, however networks were more sensitive to perturbations of the largest population size. Bacterial species utilizing two orthogonal signals, within multilayer networks, had the potential to couple activity states of species that cannot directly communicate. These results give insight into strategies for manipulating signal exchange to predict and control gene expression within bacterial communities.

细菌利用细胞-细胞信号来协调细胞群中的基因表达。细菌信号交换最初被解释为细菌在响应细胞密度变化时调节基因表达的一种机制,称为群体感应。现在已知细菌的交流包括不同种类细菌之间多种化学信号的交换。细菌群落内的这种信号串扰会产生意想不到的后果。一些细菌物种甚至利用多个正交信号分子,使这些物种能够同时在不同的物种亚群中进行交流。这些细胞利用两组信号作为连接社区内基因表达状态的桥梁。在这里,实施了一个数学模型来研究多信号通信在异质细菌群落中的后果。该模型受到简单神经网络的启发,节点代表细菌种类,节点之间的有向权重考虑物种间信号交换对基因表达的影响。这种网络的活动状态被定义为群落内每个物种的基因表达状态。利用该模型,量化了这些网络的活动状态对信号浓度和种群大小变化的稳定性。将交换一组信号的网络与交换两组正交信号的网络进行了比较。建立了一种多层神经网络模型来分析这种交换正交信号集的网络。该模型表明,信号串扰增加了网络的活跃度。这些网络在很大程度上对扰动具有弹性,但网络对最大种群规模的扰动更为敏感。细菌物种利用两个正交信号,在多层网络中,有可能耦合不能直接通信的物种的活动状态。这些结果为操纵信号交换以预测和控制细菌群落内基因表达的策略提供了见解。
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引用次数: 0
Mutually inhibiting teams of nodes: A predictive framework for structure-dynamics relationships in gene regulatory networks. 相互抑制的节点团队:基因调控网络中结构-动力学关系的预测框架。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-27 DOI: 10.1088/1478-3975/ae0ef6
Sai Shyam, Nikhil Nandhan S, Vaibhav Anand, Mohit Kumar Jolly, Kishore Hari

Phenotypic plasticity-the reversible switching of cell-states-is a central tenet of development, regeneration, and cancer progression. These transitions are governed by gene regulatory networks (GRNs), whose topological features strongly influence their dynamics. While toggle switches (mutually inhibitory feedback loops between two transcription factors) are a common motif observed for binary cell-fate decisions, GRNs across diverse contexts often exhibit a more general structure: two mutually inhibiting teams of nodes. Here, we investigate the teams of nodes as a potential topological design principle of GRNs. We first analyze GRNs from the Cell Collective database and introduce a metric, impurity, which quantifies the fraction of edges inconsistent with an idealized two-team architecture. Impurity correlates strongly with statistical properties of GRN phenotypic landscapes, highlighting its predictive value. To further probe this relationship, we simulate artificial two-team networks (TTNs) using both continuous (RACIPE) and discrete (Boolean) formalisms across varying impurity, density, and network size values. TTNs exhibit toggle-switch-like robustness under perturbations and enable accurate prediction of dynamical features such as inter-team correlations and steady-state entropy. Together, our findings establish the teams paradigm as a unifying principle linking GRN topology to dynamics, with broad implications for inferring coarse-grained network properties from high-throughput sequencing data.

表型可塑性——细胞状态的可逆转换——是发育、再生和癌症进展的核心原则。这些转变是由基因调控网络(grn)控制的,其拓扑特征强烈影响其动态。虽然切换开关(两个转录因子之间的相互抑制反馈回路)是二元细胞命运决定的常见基序,但不同背景下的grn通常表现出更一般的结构:两个相互抑制的节点组。在这里,我们研究了节点团队作为grn的潜在拓扑设计原则。我们首先分析了来自Cell Collective数据库的grn,并引入了一个度量,杂质,它量化了与理想的两组结构不一致的边缘的比例。杂质与GRN表型景观的统计特性密切相关,突出了其预测价值。为了进一步探索这种关系,我们使用连续(RACIPE)和离散(布尔)形式模拟人工两队网络(ttn),跨越不同的杂质、密度和网络大小值。ttn在扰动下表现出像切换开关一样的鲁棒性,并能够准确预测动态特征,如团队间相关性和稳态熵。总之,我们的研究结果将团队范例建立为将GRN拓扑与动力学联系起来的统一原则,对于从高通量测序数据推断粗粒度网络特性具有广泛的意义。
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引用次数: 0
Inhibition of bacterial growth by antibiotics: a minimal model. 抗生素对细菌生长的抑制:一个最小模型。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-24 DOI: 10.1088/1478-3975/ae1343
Barnabé Ledoux, David Lacoste

Growth in bacterial populations generally depends on the environment (availability and quality of nutrients, presence of a toxic inhibitor, product inhibition..). Here, we build a minimal model to describe the action of a bacteriostatic antibiotic, assuming that this drug inhibits an essential autocatalytic cycle of the cell metabolism. The model recovers known growth laws, can describe various types of antibiotics and confirms the existence of two distinct regimes of growth-dependent susceptibility, previously identified only for ribosome targeting antibiotics. We introduce a proxy for cell risk, which proves useful to compare the effects of various types of antibiotics. We also develop extensions of our model to describe the effect of combining two antibiotics targeting two different autocatalytic cycles or a regime where cell growth is inhibited by a waste product.

细菌种群的生长通常取决于环境(营养物质的可用性和质量、有毒抑制剂的存在、产物抑制……)。在这里,我们建立了一个最小模型来描述抑菌抗生素的作用,假设这种药物抑制细胞代谢的基本自催化循环。该模型恢复了已知的生长规律,可以描述各种类型的抗生素,并证实了两种不同的生长依赖性敏感性机制的存在,这两种机制以前仅用于靶向抗生素的核糖体。我们介绍了细胞风险的代理,这被证明是有用的,以比较各种类型的抗生素的影响。我们还开发了我们的模型的扩展,以描述针对两种不同的自催化循环或废物抑制细胞生长的制度结合两种抗生素的效果。
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引用次数: 0
Hierarchical switching pattern in antigenic variation provides survival advantage for malaria parasites under variable host immunity. 抗原变异的层次转换模式为疟原虫在不同宿主免疫条件下的生存提供了优势。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-23 DOI: 10.1088/1478-3975/ae1091
Gayathri Priya Iragavarapu, H J Varsha, Shruthi Sridhar Vembar, Bhaswar Ghosh

Thevarmultigene family, comprising approximately 60 members, encodes for variants ofPlasmodium falciparumerythrocyte membrane protein or PfEMP1, a surface antigen which is crucial for parasite blood stage virulence.vargenes are expressed in a mutually exclusive fashion and to evade immune detection,P. falciparumtranscriptionally switches from one variant to another. It has been proposed that a biased hierarchical switching pattern optimizes the growth and survival ofP. falciparuminside the human host. However, the need to establish a particular hierarchy is not well explored, since the growth advantage to the parasite remains the same even if gene identities are shuffled. Our theoretical analysis based on a Markov chain model, coupled with single cell RNA-seq data analysis, RT-qPCR and RNA-seq measurements, establishes a hierarchicalvargene expression pattern underlying the biased switching pattern. Further, inclusion of host immune response in the model suggests that the observed switching hierarchy is beneficial when cells expressing different variants are cleared at variable rates by the immune response. For instance, PfEMP1 variants that are cleared more efficiently by the immune system are expressed stably and at a higher level in the population compared to variants that are cleared slowly by the immune system, with parasites quickly turning off the expression of the slowly cleared variant. Consistent with these findings, analysis of published experimental data showed that stable variants exhibit greater binding affinities to IgM. Taken together, our study provides a mechanistic basis for the hierarchical switching pattern ofP. falciparum vargenes observed during infection.

var多基因家族由大约60个成员组成,编码恶性疟原虫红细胞膜蛋白或PfEMP1的变体,PfEMP1是一种表面抗原,对寄生虫血液期毒力至关重要。var基因以互斥的方式表达,为了逃避免疫检测,恶性疟原虫在转录上从一种变体切换到另一种变体。有人提出,一种有偏见的层次转换模式优化了恶性疟原虫在人类宿主体内的生长和存活。然而,建立一个特定等级的需要并没有得到很好的探索,因为即使基因身份被洗牌,寄生虫的生长优势仍然是一样的。我们基于马尔可夫链模型的理论分析,结合单细胞RNA-seq数据分析、RT-qPCR和RNA-seq测量,建立了一个分层var基因表达模式,隐藏在偏置开关模式之下。此外,在模型中包含宿主免疫反应表明,当表达不同变体的细胞以不同的速率被免疫反应清除时,观察到的切换层次是有益的。例如,与被免疫系统缓慢清除的变体相比,被免疫系统更有效清除的PfEMP1变体在人群中的表达更稳定,表达水平更高,寄生虫会迅速关闭缓慢清除的变体的表达。与这些发现一致的是,对已发表的实验数据的分析表明,稳定的变体与IgM具有更大的结合亲和力。综上所述,我们的研究为在感染过程中观察到的恶性疟原虫变异基因的分层转换模式提供了机制基础。
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引用次数: 0
Fractal measures as predictors of histopathological complexity in breast carcinoma mammograms. 分形测量作为乳腺癌乳房x光片组织病理复杂性的预测因子。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-23 DOI: 10.1088/1478-3975/ae0f6e
Abhijeet Das, Ramray Bhat, Mohit Kumar Jolly

This study investigates the efficacy of fractal-based global texture features for distinguishing between malignant and normal mammograms and assessing their potential for molecular subtype differentiation. Digital mammograms were analyzed using standardized preprocessing techniques, and fractal measures were computed to capture complexity and connectivity properties within breast tissue structures. We introduced the succolarity reservoir as a novel parameter accounting for tissues' latent connectivity. Fractal dimension, multifractality strength, and succolarity reservoir were found to effectively characterize specific features of mammographic texture in contrast to lacunarity and Rényi dimensions; however, their incorporation into machine learning models yielded moderate discriminatory performance between categories. In addition, while succolarity reservoir exhibits conceptual potential for differentiating Luminal B from other molecular subtypes, its overall discriminative power remains limited. This proof-of-concept study underscores the exploratory potential of fractal-based texture analysis as a non-invasive biomarker in breast carcinoma diagnosis.

本研究探讨了基于分形的全局纹理特征在区分恶性和正常乳房x线照片和评估其分子亚型分化潜力方面的功效。使用标准化的预处理技术对数字乳房x线照片进行分析,并计算分形度量以捕获乳房组织结构的复杂性和连通性。我们引入了液滴蓄水池作为衡量组织潜在连通性的新参数。分形维数、多重分形强度和分形储层与腔隙维数和rsamnyi维数相比,可以有效地表征乳房x线影像纹理的特定特征;然而,将它们整合到机器学习模型中,在类别之间产生了适度的歧视性表现。此外,虽然胞浆性储层具有区分Luminal B与其他分子亚型的概念潜力,但其总体判别能力仍然有限。这项概念验证研究强调了分形纹理分析作为乳腺癌诊断中一种非侵入性生物标志物的探索潜力。
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引用次数: 0
Probing domain interactions in a large multimeric protein: molecular dynamics and bioinformatic analysis of closed and open states of RyR1. 探测大多聚体蛋白结构域相互作用:RyR1闭合和开放状态的分子动力学和生物信息学分析。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-22 DOI: 10.1088/1478-3975/ae10f7
Panisak Boonamnaj, Panyakorn Taweechat, Pisit Lerttanakij, Ras B Pandey, Montserrat Samsó, Pornthep Sompornpisut

The ryanodine receptor isoform-1 (RyR1) is a large intracellular calcium release channel essential for skeletal muscle contraction. While cryo-electron microscopy has revealed structural snapshots of RyR1 in closed and open states, the dynamic features associated with calcium-dependent gating remain incompletely understood. In this study, we integrated all-atom molecular dynamics (MD) simulations with domain-level bioinformatics analyses to characterize and compare the structural dynamics of RyR1 in its closed and open conformations. Our simulations revealed distinct structural differences, including domain flexibility patterns, solvent accessibility, and hydrogen bonding networks, between the closed and open states. The closed state exhibited more extensive inter-subunit contacts and stable hydrogen-bonding networks, supporting a compact architecture characterized by inter-subunit domain engagement and intra-subunit domain loosening. In contrast, the open state showed increased solvent exposure and reduced inter-subunit interactions, reflecting inter-subunit domain loosening coupled with intra-subunit domain engagement, particularly in regions connecting the cytoplasmic and pore-forming domains. The comparative approach provides structural perspectives on how calcium binding may contribute to RyR1's conformational organization relevant to gating function. Our findings highlight the utility of integrating MD simulations with domain-scale analyses to investigate large protein complexes and generate hypotheses for future experimental validation.

ryanodine受体异构体-1 (RyR1)是骨骼肌收缩所必需的细胞内钙释放通道。虽然冷冻电子显微镜(cryo-EM)已经揭示了RyR1在关闭和打开状态下的结构快照,但与钙依赖性门控相关的动态特征仍然不完全清楚。在这项研究中,我们将全原子分子动力学(MD)模拟与域级生物信息学分析相结合,表征和比较了RyR1在其封闭和开放构象中的结构动力学。我们的模拟揭示了封闭和开放状态之间明显的结构差异,包括结构域柔韧性模式、溶剂可及性和氢键网络。封闭状态表现出更广泛的亚基间接触和稳定的氢键网络,支持以亚基间结构域接合和亚基内结构域松动为特征的紧凑结构。相反,开放状态显示溶剂暴露增加,亚基间相互作用减少,反映了亚基间结构域松动和亚基内结构域结合,特别是在连接细胞质和孔形成结构域的区域。比较方法提供了钙结合如何促进RyR1与门控功能相关的构象组织的结构视角。我们的研究结果强调了将MD模拟与域尺度分析相结合的效用,以研究大型蛋白质复合物并为未来的实验验证产生假设。
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引用次数: 0
Cyclic constraint on the protein-RNA/DNA interaction. 蛋白质- rna /DNA相互作用的循环约束。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-15 DOI: 10.1088/1478-3975/ae0f33
Hamze Mousavi, Ronak Emami

The engagement of protein and ribonucleic acid (RNA)/deoxyribonucleic acid (DNA) is examined in three varied conformations of protein molecules and two different configurations of RNA/DNA, namely finite and cyclic. This analysis emphasizes density of states (DOS) and band structures by making use of a tight-binding Hamiltonian in combination with Green's function techniques. At a steady temperature and a defined quantity of building blocks in the RNA and DNA strands, the spectral diagrams show flat energy curves for both RNA and DNA molecules, showcasing characteristics akin to those found in semiconductors. The key distinctions between the cyclic configuration and the finite case lie in the peak height and the arrangement of the peaks in the DOS, as well as the shifts in band positions. The coupling of protein molecules with the RNA and DNA models yields a reduction of the energy gap in the protein-RNA system and a progression from semiconductor properties to metallic ones in the protein-DNA structure. Furthermore, the role of temperature in determining the DOS leads to changes in the peak levels and their respective positions. It is expected that the coupling of protein and RNA/DNA will directly exert a straightforward influence on the electronic attributes of RNA/DNA, which differ among diverse protein structures, thus creating opportunities for newly conducted research with significant biological implications.

蛋白质和RNA/DNA的结合在蛋白质分子的三种不同构象和RNA/DNA的两种不同构象中进行了检查,即有限的和循环的。这种分析通过使用紧密结合的哈密顿量和格林函数技术来强调态和带结构的密度。在稳定的温度下,在RNA和DNA链中有一定数量的构建块,光谱图显示出RNA和DNA分子的平坦能量曲线,显示出与半导体相似的特征。循环结构和有限情况的关键区别在于峰高和态密度峰的排列,以及带位置的移位。蛋白质分子与RNA和DNA模型的耦合减少了蛋白质-RNA系统中的能隙,并在蛋白质-DNA结构中从半导体性质发展到金属性质。此外,温度在决定态密度中的作用导致峰值水平及其各自位置的变化。预计蛋白质与RNA/DNA的偶联将直接对不同蛋白质结构的RNA/DNA的电子属性产生直接影响,从而为具有重要生物学意义的新研究创造机会。
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引用次数: 0
Physical confinement and distance of migration cooperatively enhance chemotherapeutic resistance in migratory GBM cells. 物理限制和迁移距离共同增强了迁移性GBM细胞的化疗耐药性。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-10 DOI: 10.1088/1478-3975/ae0dd7
Qionghua Shen, Adam Adrien Germain, Calvin Kong, Young-Tae Kim

Metastatic glioblastoma multiforme (GBM) is known for its dismal prognosis due to the dissemination of single cells throughout the brain parenchyma and along white matter tracts, resulting in heightened resistance to therapies. Understanding the intricate relationship between cell migration, physical confinement, and chemotherapeutic resistance in GBM is imperative for advancing treatment strategies. In this study, we employed G55, a representative migratory GBM cell line, to investigate this phenomenon. We generated three distinct cell populations: (1) cells migrating without confinement, assessed via the Scratch assay; (2) cells migrating a short distance (10μm) under confinement, examined through the Transwell assay; and (3) cells migrating long distances (>100μm) under confinement, studied using the Microchannel assay. Comparative analyses of protein expression profiles and chemotherapy sensitivity among these groups revealed that migration combined with physical confinement plays a pivotal role in augmenting chemotherapeutic resistance in interstitial invasive cancer cells. Moreover, we demonstrate the utility of the microchannel device, which facilitates controlled cell migration under physical confinement, as an effectivein vitrotool for investigating metastatic cancer and associated treatment resistance. This study sheds light on the mechanisms underlying GBM progression and highlights potential avenues for therapeutic intervention.

多形性转移性胶质母细胞瘤(GBM)因单细胞散布于整个脑实质和沿白质束而预后不佳,导致对治疗的抵抗力增强。了解细胞迁移、物理限制和GBM化疗耐药之间的复杂关系对于推进治疗策略至关重要。在本研究中,我们使用具有代表性的GBM迁移性细胞系G55来研究这一现象。我们产生了三种不同的细胞群:1)细胞在没有限制的情况下迁移,通过Scratch实验进行评估;2)细胞在封闭条件下短距离迁移(10 μm),通过Transwell实验检测;3)利用微通道实验研究了细胞在约束下长距离迁移(bbb100 μm)。这些组的蛋白表达谱和化疗敏感性的比较分析表明,迁移结合物理限制在增加间质浸润性癌细胞的化疗耐药中起关键作用。此外,我们证明了微通道装置的实用性,它有助于在物理限制下控制细胞迁移,作为研究转移性癌症和相关治疗耐药性的有效体外工具。这项研究揭示了GBM进展的潜在机制,并强调了治疗干预的潜在途径。
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引用次数: 0
Stability analysis under intrinsic fluctuations: a second-moment perspective of gene regulatory networks. 内在波动下的稳定性分析:基因调控网络的第二时刻视角。
IF 1.6 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2025-10-08 DOI: 10.1088/1478-3975/ae0b22
Manuel Eduardo Hernández-García, Mariana Gómez-Schiavon, Jorge Velázquez-Castro

Gene regulatory networks with negative feedback play a crucial role in conferring robustness and evolutionary resilience to biological systems. However, the discrete nature of molecular components and probabilistic interactions in these networks are inherently subject to fluctuations, which pose challenges for stability analysis. Traditional analysis methods for stochastic systems, like the Langevin equation and the Fokker-Planck equation, are widely used. However, these methods primarily provide approximations of system behavior and may not be suitable for systems that exhibit non-mass-action kinetics, such as those described by Hill functions. In this study, we employed a second-moment approach to analyze the stability of a gene regulatory network with negative feedback under intrinsic fluctuations. By transforming the stochastic system into a set of ordinary differential equations for the mean concentration and second central moment, we performed a stability analysis similar to that used in deterministic models, where there are no fluctuations. Our results show that the incorporation of the second central moment introduces two additional negative eigenvalues, indicating that the system remains stable under intrinsic fluctuations. Furthermore, the stability of the second central moment suggests that the fluctuations do not induce instability in the system. The stationary values of the mean concentrations were found to be the same as those in the deterministic case, indicating that fluctuations did not influence stationary mean concentrations. This framework provides a practical and insightful method for analyzing the stability of stochastic systems and can be extended to other biochemical networks with regulatory feedback and intrinsic fluctuations through a framework of ordinary differential equations.

具有负反馈的基因调控网络在赋予生物系统稳健性和进化弹性方面起着至关重要的作用。然而,这些网络中分子组分的离散性和概率相互作用固有地受到波动的影响,这给稳定性分析带来了挑战。传统的随机系统分析方法,如Langevin方程和Fokker-Planck方程,被广泛使用。然而,这些方法主要提供了系统行为的近似,可能不适用于表现出非质量作用动力学的系统,例如由希尔函数描述的系统。在本研究中,我们采用了一种二阶矩方法来分析具有负反馈的基因调控网络在内在波动下的稳定性。通过将随机系统转换为一组平均浓度和第二中心矩的常微分方程,我们进行了类似于确定性模型中使用的稳定性分析,其中没有波动。我们的结果表明,第二中心矩的加入引入了两个额外的负特征值,表明系统在固有波动下保持稳定。此外,第二中心矩的稳定性表明,波动不会引起系统的不稳定性。发现平均浓度的平稳值与确定性情况下的平稳值相同,表明波动不影响平稳平均浓度。该框架为分析随机系统的稳定性提供了一种实用而深刻的方法,并且可以通过常微分方程的框架推广到其他具有调节反馈和内在波动的生化网络。
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引用次数: 0
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