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Memoryless chemotaxis with discrete cues. 具有离散线索的无记忆趋化。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0100
Jacob Knight, Paula García-Galindo, Johannes Pausch, Gunnar Pruessner

Biological systems such as axonal growth cones perform chemotaxis at micrometre-level length scales, where chemotactic molecules are sparse. Such systems lie outside the range of validity of existing models, which assume smoothly varying chemical gradients. We investigate the effect of introducing discrete chemoattractant molecules by constructing a minimal dynamical model consisting of a chemotactic cell without internal memory. Significant differences are found in the behaviour of the cell as the chemical gradient is changed from smoothly varying to discrete, including the emergence of a homing radius beyond which chemotaxis is not reliably performed.

轴突生长锥等生物系统在微米级长度尺度上进行趋化,趋化分子稀少。这类系统超出了现有模型的有效范围,现有模型假定化学梯度平滑变化。我们通过构建一个由无内部记忆的趋化细胞组成的最小动力学模型,研究了引入离散趋化分子的影响。当化学梯度从平滑变化变为离散时,我们发现细胞的行为存在显著差异,包括出现了一个归巢半径,超过该半径就不能可靠地进行趋化。
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引用次数: 0
From fibres to adhesives: evolution of spider capture threads from web anchors by radical changes in silk gland function. 从纤维到粘合剂:通过丝腺功能的剧烈变化,蜘蛛捕获线从网锚进化而来。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0123
Jonas O Wolff, Leah J Ashley, Clemens Schmitt, Celine Heu, Denitza Denkova, Maitry Jani, Veronika Řezáčová, Sean J Blamires, Stanislav N Gorb, Jessica Garb, Sara L Goodacre, Milan Řezáč

Spider webs that serve as snares are one of the most fascinating and abundant type of animal architectures. In many cases they include an adhesive coating of silk lines-so-called viscid silk-for prey capture. The evolutionary switch from silk secretions forming solid fibres to soft aqueous adhesives remains an open question in the understanding of spider silk evolution. Here we functionally and chemically characterized the secretions of two types of silk glands and their behavioural use in the cellar spider, Pholcus phalangioides. Both being derived from the same ancestral gland type that produces fibres with a solidifying glue coat, the two types produce respectively a quickly solidifying glue applied in thread anchorages and prey wraps, or a permanently tacky glue deployed in snares. We found that the latter is characterized by a high concentration of organic salts and reduced spidroin content, showing up a possible pathway for the evolution of viscid properties by hygroscopic-salt-mediated hydration of solidifying adhesives. Understanding the underlying molecular basis for such radical switches in material properties not only helps to better understand the evolutionary origins and versatility of ecologically impactful spider web architectures, but also informs the bioengineering of spider silk-based products with tailored properties.

作为陷阱的蜘蛛网是最迷人、最丰富的动物建筑类型之一。在许多情况下,蜘蛛网上都有一层丝线粘附层,即所谓的粘丝,用于捕捉猎物。从形成固体纤维的蚕丝分泌物到柔软的水性粘合剂的进化转换,仍然是了解蜘蛛丝进化的一个未决问题。在这里,我们从功能和化学角度描述了窖蛛 Pholcus phalangioides 两种丝腺的分泌物及其行为用途。这两种类型的蛛丝腺体都来自同一祖先的蛛丝腺体类型,这种类型的蛛丝腺体分泌的纤维具有凝固的胶衣,它们分别分泌一种快速凝固的胶水,用于锚固蛛丝和缠绕猎物,或者分泌一种永久粘性的胶水,用于捕捉猎物。我们发现,后者的特点是有机盐浓度高、螺烷含量低,这为吸湿盐介导的固化粘合剂的粘性演变提供了可能的途径。了解材料特性发生这种根本性转变的分子基础,不仅有助于更好地理解具有生态影响的蜘蛛网结构的进化起源和多功能性,还能为具有定制特性的基于蜘蛛丝的产品的生物工程提供信息。
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引用次数: 0
Physics-informed scaling laws for the performance of pitching foils in schooling configurations. 在校准配置中俯仰箔片性能的物理缩放定律。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0157
Ahmet Gungor, Muhammad Saif Ullah Khalid, Arman Hemmati

This study introduces novel physics-based scaling laws to estimate the propulsive performance of synchronously pitching foils in various schooling configurations. These relations are derived from quasi-steady lift-based and added mass forces. Hydrodynamic interactions among the schooling foils are considered through vortex-induced velocities imposed on them, constituting the ground effect. Generalized scaling equations are formulated for cycle-averaged coefficients of thrust and power. These equations encompass both the pure-pitching and induced velocity terms, capturing their combined effects. The equations are compared to computational results obtained from two-foil systems, exhibiting foil arrangements over a wide range of parameter space, including Strouhal number (0.15 ≤ St ≤ 0.4), pitching amplitude ([Formula: see text]) and phase difference ([Formula: see text]) at Re = 1000-10 000. The individual contributions of pure-pitching and induced velocity terms to propulsive performance elucidate that solely relying on the pure-pitching terms leads to inadequate estimation, emphasizing the significance of the induced velocity terms. The validity of the approach is further assessed by testing it with three-foil and five-foil configurations, which displays a collapse of estimated and measured results. This indicates that the scaling laws are applicable to multi-foil arrangements.

本研究介绍了基于物理学的新缩放定律,用于估算同步俯仰箔片在各种学校教育配置下的推进性能。这些关系由准稳定升力和附加质量力推导得出。通过施加在校准箔片上的涡流诱导速度(构成地面效应),考虑了校准箔片之间的流体动力学相互作用。为推力和功率的循环平均系数制定了通用比例方程。这些方程包括纯俯仰和诱导速度项,捕捉了它们的综合效应。这些方程与双箔片系统的计算结果进行了比较,显示了在 Re = 1000-10 000 条件下广泛参数空间内的箔片排列,包括斯特劳哈尔数(0.15 ≤ St ≤ 0.4)、俯仰振幅([计算公式:见正文])和相位差([计算公式:见正文])。纯俯仰项和诱导速度项对推进性能的单独贡献阐明,仅仅依靠纯俯仰项会导致估计不足,从而强调了诱导速度项的重要性。通过对三翼和五翼配置进行测试,进一步评估了该方法的有效性。这表明缩放定律适用于多翼布置。
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引用次数: 0
Wrinkling of fluid deformable surfaces. 流体可变形表面的皱褶。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0056
Veit Krause, Axel Voigt

Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium has been shown to be responsible for dynamic processes. We here consider wrinkling of fluid deformable surfaces. In contrast with thin elastic sheets, with in-plane and out-of-plane elasticity, these surfaces are characterized by in-plane viscous flow and out-of-plane elasticity and have been established as model systems for biomembranes and cellular sheets. We use this hydrodynamic theory and numerically explore the formation of wrinkles and their coarsening, either by a continuous reduction of the enclosed volume or by the continuous increase of the surface area. Both lead to almost identical results for wrinkle formation and the coarsening process, for which a scaling law for the wavenumber is obtained for a broad range of surface viscosity and rate of change of volume or area. However, for large Reynolds numbers and small changes in volume or area, wrinkling can be suppressed and surface hydrodynamics allows for global shape changes following the minimal energy configurations of the Helfrich energy for corresponding reduced volumes.

弹性薄片的皱褶不稳定性可用于产生大范围长度尺度的周期性结构。弹性薄片或其周围介质的粘度已被证明是动态过程的原因。我们在此考虑流体可变形表面的起皱问题。与具有面内和面外弹性的弹性薄片不同,这些表面的特点是面内粘性流动和面外弹性,并已被确立为生物膜和细胞薄片的模型系统。我们利用这一流体力学理论,通过数值方法探讨了皱纹的形成及其粗化过程,即通过不断缩小封闭体积或不断增大表面积来实现。这两种方法对皱纹的形成和粗化过程得出了几乎相同的结果,在表面粘度和体积或面积变化率的较大范围内,都能得到波数的缩放规律。然而,对于大雷诺数和体积或面积的微小变化,褶皱可以被抑制,表面流体力学允许按照相应缩小体积的赫尔弗里希能量的最小能量配置进行全局形状变化。
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引用次数: 0
Odour source distance is predictable from a time history of odour statistics for large scale outdoor plumes. 根据大规模室外羽流的气味统计时间历史,可以预测气味源距离。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0169
Arunava Nag, Floris van Breugel

Odour plumes in turbulent environments are intermittent and sparse. Laboratory-scaled experiments suggest that information about the source distance may be encoded in odour signal statistics, yet it is unclear whether useful and continuous distance estimates can be made under real-world flow conditions. Here, we analyse odour signals from outdoor experiments with a sensor moving across large spatial scales in desert and forest environments to show that odour signal statistics can yield useful estimates of distance. We show that achieving accurate estimates of distance requires integrating statistics from 5 to 10 s, with a high temporal encoding of the olfactory signal of at least 20 Hz. By combining distance estimates from a linear model with wind-relative motion dynamics, we achieved source distance estimates in a 60 × 60 m2 search area with median errors of 3-8 m, a distance at which point odour sources are often within visual range for animals such as mosquitoes.

湍流环境中的气味羽流具有间歇性和稀疏性。实验室规模的实验表明,气味信号统计信息中可能编码了气味源距离的信息,但在真实世界的流动条件下能否做出有用且连续的距离估计尚不清楚。在这里,我们分析了在沙漠和森林环境中使用大空间尺度移动传感器进行的户外实验中的气味信号,结果表明气味信号统计可以得出有用的距离估计值。我们的研究表明,要准确估计距离,需要整合 5 到 10 秒的统计数据,并对嗅觉信号进行至少 20 Hz 的高时间编码。通过将线性模型得出的距离估计值与风的相对运动动力学相结合,我们在 60 × 60 平方米的搜索区域内获得了气味源距离估计值,中位误差为 3-8 米,这个距离上的气味源通常在蚊子等动物的可视范围内。
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引用次数: 0
Computational modelling of scleral photocrosslinking: from rat to minipig to human. 巩膜光交联的计算建模:从大鼠到迷你猪再到人类。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-01 Epub Date: 2024-07-31 DOI: 10.1098/rsif.2024.0111
Amy J Wood-Yang, Brandon G Gerberich, Mark R Prausnitz

Selective scleral crosslinking has been proposed as a novel treatment to increase scleral stiffness to counteract biomechanical changes associated with glaucoma and high myopia. Scleral stiffening has been shown by transpupillary peripapillary scleral photocrosslinking in rats, where the photosensitizer, methylene blue (MB), was injected retrobulbarly and red light initiated crosslinking reactions with collagen. Here, we adapted a computational model previously developed to model this treatment in rat eyes to additionally model MB photocrosslinking in minipigs and humans. Increased tissue length and subsequent diffusion and light penetration limitations were found to be barriers to achieving the same extent of crosslinking as in rats. Per cent inspired O2, injected MB concentration and laser fluence were simultaneously varied to overcome these limitations and used to determine optimal combinations of treatment parameters in rats, minipigs and humans. Increasing these three treatment parameters simultaneously resulted in maximum crosslinking, except in rats, where the highest MB concentrations decreased crosslinking. Additionally, the kinetics and diffusion of photocrosslinking reaction intermediates and unproductive side products were modelled across space and time. The model provides a mechanistic understanding of MB photocrosslinking in scleral tissue and a basis for adapting and screening treatment parameters in larger animal models and, eventually, human eyes.

选择性巩膜交联被认为是一种新的治疗方法,可以增加巩膜硬度,从而抵消与青光眼和高度近视相关的生物力学变化。通过在大鼠眼球后方注射光敏剂亚甲基蓝(MB),并用红光引发胶原蛋白的交联反应,经瞳孔周围的巩膜光交联显示了巩膜僵化。在这里,我们将之前开发的用于模拟大鼠眼部这种治疗方法的计算模型进行了改良,进一步模拟了小猪和人类的亚甲基蓝光交联反应。我们发现,组织长度的增加以及随后的扩散和光穿透限制是实现与大鼠相同程度的交联的障碍。为了克服这些限制,我们同时改变了吸入氧气的百分比、注射甲基溴的浓度和激光能量,以确定大鼠、迷你猪和人的最佳治疗参数组合。同时增加这三个处理参数会导致最大程度的交联,但大鼠除外,因为甲基溴浓度最高会降低交联程度。此外,还模拟了光交联反应中间产物和非生产性副产品在空间和时间上的动力学和扩散。该模型提供了对巩膜组织中甲基溴光交联的机理理解,并为在更大的动物模型中以及最终在人眼中调整和筛选治疗参数奠定了基础。
{"title":"Computational modelling of scleral photocrosslinking: from rat to minipig to human.","authors":"Amy J Wood-Yang, Brandon G Gerberich, Mark R Prausnitz","doi":"10.1098/rsif.2024.0111","DOIUrl":"10.1098/rsif.2024.0111","url":null,"abstract":"<p><p>Selective scleral crosslinking has been proposed as a novel treatment to increase scleral stiffness to counteract biomechanical changes associated with glaucoma and high myopia. Scleral stiffening has been shown by transpupillary peripapillary scleral photocrosslinking in rats, where the photosensitizer, methylene blue (MB), was injected retrobulbarly and red light initiated crosslinking reactions with collagen. Here, we adapted a computational model previously developed to model this treatment in rat eyes to additionally model MB photocrosslinking in minipigs and humans. Increased tissue length and subsequent diffusion and light penetration limitations were found to be barriers to achieving the same extent of crosslinking as in rats. Per cent inspired O<sub>2</sub>, injected MB concentration and laser fluence were simultaneously varied to overcome these limitations and used to determine optimal combinations of treatment parameters in rats, minipigs and humans. Increasing these three treatment parameters simultaneously resulted in maximum crosslinking, except in rats, where the highest MB concentrations decreased crosslinking. Additionally, the kinetics and diffusion of photocrosslinking reaction intermediates and unproductive side products were modelled across space and time. The model provides a mechanistic understanding of MB photocrosslinking in scleral tissue and a basis for adapting and screening treatment parameters in larger animal models and, eventually, human eyes.</p>","PeriodicalId":17488,"journal":{"name":"Journal of The Royal Society Interface","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11289678/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141855886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coupled membranes: a mechanism of frequency filtering and transmission in the field cricket ear evidenced by micro-computed tomography, laser Doppler vibrometry and finite element analysis. 耦合膜:通过微型计算机断层扫描、激光多普勒测振仪和有限元分析证明田蟋耳的频率过滤和传输机制。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-01 Epub Date: 2024-06-21 DOI: 10.1098/rsif.2023.0779
Brendan Latham, Andrew Reid, Joseph C Jackson-Camargo, Jonathan A Williams, James F C Windmill

Many animals employ a second frequency filter beyond the initial filtering of the eardrum (or tympanal membrane). In the field cricket ear, both the filtering mechanism and the transmission path from the posterior tympanal membrane (PTM) have remained unclear. A mismatch between PTM vibrations and sensilla tuning has prompted speculations of a second filter. PTM coupling to the tracheal branches is suggested to support a transmission pathway. Here, we present three independent lines of evidence converging on the same conclusion: the existence of a series of linked membranes with distinct resonant frequencies serving both filtering and transmission functions. Micro-computed tomography (µ-CT) highlighted the 'dividing membrane (DivM)', separating the tracheal branches and connected to the PTM via the dorsal membrane of the posterior tracheal branch (DM-PTB). Thickness analysis showed the DivM to share significant thinness similarity with the PTM. Laser Doppler vibrometry indicated the first of two PTM vibrational peaks, at 6 and 14 kHz, originates not from the PTM but from the coupled DM-PTB. This result was corroborated by µ-CT-based finite element analysis. These findings clarify further the biophysical source of neuroethological pathways in what is an important model of behavioural neuroscience. Tuned microscale coupled membranes may also hold biomimetic relevance.

许多动物在鼓膜(或鼓膜)的初始滤波之外,还采用了第二频率滤波器。在田野蟋蟀耳中,来自鼓膜后部(PTM)的过滤机制和传输路径仍不清楚。鼓膜振动与感觉器调谐之间的不匹配引发了对第二滤波器的猜测。有人认为 PTM 与气管分支的耦合支持了一个传输路径。在这里,我们提出了三条独立的证据线索,它们汇聚在同一个结论上:存在一系列具有不同共振频率的连接膜,它们同时具有过滤和传输功能。微型计算机断层扫描(µ-CT)显示了 "分隔膜(DivM)",它将气管分支分隔开来,并通过气管后支背膜(DM-PTB)与 PTM 相连。厚度分析表明,DivM 与 PTM 的厚度非常相似。激光多普勒测振仪显示,PTM 两个振动峰中的第一个峰值(6 和 14 kHz)并非来自 PTM,而是来自耦合的 DM-PTB。基于 µ-CT 的有限元分析证实了这一结果。这些发现进一步阐明了行为神经科学重要模型中神经伦理途径的生物物理来源。调谐微尺度耦合膜也可能具有生物仿真意义。
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引用次数: 0
A mechanistic modelling approach of the host-microbiota interactions to investigate beneficial symbiotic resilience in the human gut. 宿主-微生物群相互作用的机理建模方法,研究人类肠道中有益共生的复原力。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-01 Epub Date: 2024-06-20 DOI: 10.1098/rsif.2023.0756
Marie Haghebaert, Béatrice Laroche, Lorenzo Sala, Stanislas Mondot, Joël Doré

The health and well-being of a host are deeply influenced by the interactions with its gut microbiota. Contrasted environmental conditions, such as diseases or dietary habits, play a pivotal role in modulating these interactions, impacting microbiota composition and functionality. Such conditions can also lead to transitions from beneficial to detrimental symbiosis, viewed as alternative stable states of the host-microbiota dialogue. This article introduces a novel mathematical model exploring host-microbiota interactions, integrating dynamics of the colonic epithelial crypt, microbial metabolic functions, inflammation sensitivity and colon flows in a transverse section. The model considers metabolic shifts in epithelial cells based on butyrate and hydrogen sulfide concentrations, innate immune pattern recognition receptor activation, microbial oxygen tolerance and the impact of antimicrobial peptides on the microbiota. Using the model, we demonstrated that a high-protein, low-fibre diet exacerbates detrimental interactions and compromises beneficial symbiotic resilience, underscoring a destabilizing effect towards an unhealthy state. Moreover, the proposed model provides essential insights into oxygen levels, fibre and protein breakdown, and basic mechanisms of innate immunity in the colon and offers a crucial understanding of factors influencing the colon environment.

宿主的健康和福祉深受其肠道微生物群相互作用的影响。相反的环境条件,如疾病或饮食习惯,在调节这些相互作用、影响微生物群的组成和功能方面起着关键作用。这些条件也会导致从有益共生到有害共生的转变,被视为宿主-微生物群对话的另一种稳定状态。本文介绍了一种探索宿主-微生物群相互作用的新型数学模型,该模型将结肠上皮隐窝、微生物代谢功能、炎症敏感性和结肠横切面流动的动态整合在一起。该模型考虑了基于丁酸盐和硫化氢浓度的上皮细胞代谢转变、先天性免疫模式识别受体激活、微生物耐氧性以及抗菌肽对微生物群的影响。利用该模型,我们证明了高蛋白、低纤维饮食会加剧有害的相互作用,损害有益的共生复原力,强调了对不健康状态的不稳定影响。此外,所提出的模型为了解结肠中的氧气水平、纤维和蛋白质分解以及先天性免疫的基本机制提供了重要信息,并为了解影响结肠环境的因素提供了重要依据。
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引用次数: 0
Demographic effects of aggregation in the presence of a component Allee effect. 在存在阿利效应成分的情况下,聚集的人口效应。
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-01 Epub Date: 2024-06-25 DOI: 10.1098/rsif.2024.0042
Daniel C P Jorge, Ricardo Martinez-Garcia

The component Allee effect (AE) is the positive correlation between an organism's fitness component and population density. Depending on the population spatial structure, which determines the interactions between organisms, a component AE might lead to positive density dependence in the population per-capita growth rate and establish a demographic AE. However, existing spatial models impose a fixed population spatial structure, which limits the understanding of how a component AE and spatial dynamics jointly determine the existence of demographic AEs. We introduce a spatially explicit theoretical framework where spatial structure and population dynamics are emergent properties of the individual-level demographic and movement rates. This framework predicts various spatial patterns depending on its specific parametrization, including evenly spaced aggregates of organisms, which determine the demographic-level by-products of the component AE. We find that aggregation increases population abundance and allows population survival in harsher environments and at lower global population densities when compared with uniformly distributed organisms. Moreover, aggregation can prevent the component AE from manifesting at the population level or restrict it to the level of each independent aggregate. These results provide a mechanistic understanding of how component AEs might operate for different spatial structures and manifest at larger scales.

分量阿利效应(AE)是指生物体的适合度分量与种群密度之间的正相关关系。种群空间结构决定了生物之间的相互作用,根据种群空间结构的不同,分量阿利效应可能会导致种群人均增长率的正密度依赖性,并形成人口阿利效应。然而,现有的空间模型强加了一个固定的种群空间结构,这限制了对成分 AE 和空间动态如何共同决定人口 AE 存在的理解。我们引入了一个明确的空间理论框架,在这个框架中,空间结构和种群动态是个体水平的人口和迁移率的新兴属性。该框架根据其具体参数预测了各种空间模式,包括生物的均匀聚集,这决定了人口统计层面的成分 AE 副产品。我们发现,与均匀分布的生物相比,聚集会增加种群丰度,使种群在更恶劣的环境和更低的全球种群密度下得以生存。此外,聚集还能阻止 AE 成分在种群水平上表现出来,或将其限制在每个独立聚集体的水平上。这些结果从机理上揭示了成分AE如何在不同的空间结构中发挥作用,以及如何在更大的尺度上表现出来。
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引用次数: 0
The speed of neutral evolution on graphs. 图上中性演化的速度
IF 3.7 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-06-01 Epub Date: 2024-06-05 DOI: 10.1098/rsif.2023.0594
Shun Gao, Yuan Liu, Bin Wu

The speed of evolution on structured populations is crucial for biological and social systems. The likelihood of invasion is key for evolutionary stability. But it makes little sense if it takes long. It is far from known what population structure slows down evolution. We investigate the absorption time of a single neutral mutant for all the 112 non-isomorphic undirected graphs of size 6. We find that about three-quarters of the graphs have an absorption time close to that of the complete graph, less than one-third are accelerators, and more than two-thirds are decelerators. Surprisingly, determining whether a graph has a long absorption time is too complicated to be captured by the joint degree distribution. Via the largest sojourn time, we find that echo-chamber-like graphs, which consist of two homogeneous graphs connected by few sparse links, are likely to slow down absorption. These results are robust for large graphs, mutation patterns as well as evolutionary processes. This work serves as a benchmark for timing evolution with complex interactions, and fosters the understanding of polarization in opinion formation.

结构化种群的进化速度对生物和社会系统至关重要。入侵的可能性是进化稳定性的关键。但是,如果入侵需要很长时间,那就没有什么意义了。目前还不清楚是什么种群结构减缓了进化速度。我们研究了大小为 6 的所有 112 个非同构无向图中单个中性突变体的吸收时间。我们发现,大约四分之三的图的吸收时间接近完整图的吸收时间,不到三分之一的图是加速图,超过三分之二的图是减速图。令人惊讶的是,判断一个图是否有较长的吸收时间过于复杂,联合度分布无法捕捉。通过最大逗留时间,我们发现回声室状图(由两个同质图组成,通过很少的稀疏链接连接)很可能会减慢吸收速度。这些结果对于大型图、突变模式以及进化过程都是稳健的。这项研究为具有复杂交互作用的定时演化提供了基准,并促进了对舆论形成中极化现象的理解。
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引用次数: 0
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Journal of The Royal Society Interface
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