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Optimization of periodic treatment strategies for bacterial biofilms using an agent-based in silico approach 利用基于代理的硅学方法优化细菌生物膜的定期处理策略
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-04-10 DOI: 10.1098/rsif.2024.0078
Johanna A. Blee, Thomas E. Gorochowski, Sabine Hauert

Biofilms are responsible for most chronic infections and are highly resistant to antibiotic treatments. Previous studies have demonstrated that periodic dosing of antibiotics can help sensitize persistent subpopulations and reduce the overall dosage required for treatment. Because the dynamics and mechanisms of biofilm growth and the formation of persister cells are diverse and are affected by environmental conditions, it remains a challenge to design optimal periodic dosing regimens. Here, we develop a computational agent-based model to streamline this process and determine key parameters for effective treatment. We used our model to test a broad range of persistence switching dynamics and found that if periodic antibiotic dosing was tuned to biofilm dynamics, the dose required for effective treatment could be reduced by nearly 77%. The biofilm architecture and its response to antibiotics were found to depend on the dynamics of persister cells. Despite some differences in the response of biofilm governed by different persister switching rates, we found that a general optimized periodic treatment was still effective in significantly reducing the required antibiotic dose. As persistence becomes better quantified and understood, our model has the potential to act as a foundation for more effective strategies to target bacterial infections.

生物膜是大多数慢性感染的罪魁祸首,对抗生素治疗具有很强的抗药性。以往的研究表明,定期给抗生素用药有助于使持久性亚群敏感,并减少治疗所需的总剂量。由于生物膜生长和持久性细胞形成的动态和机制多种多样,并受环境条件的影响,因此设计最佳的定期给药方案仍是一项挑战。在此,我们开发了一个基于代理的计算模型,以简化这一过程并确定有效治疗的关键参数。我们使用模型测试了广泛的持久性切换动态,发现如果根据生物膜动态调整定期抗生素剂量,有效治疗所需的剂量可减少近 77%。研究发现,生物膜结构及其对抗生素的反应取决于持久细胞的动态。尽管生物膜的反应受不同持久体切换率的影响而存在一些差异,但我们发现,一般优化的周期性治疗仍能有效地大幅减少所需的抗生素剂量。随着对持久性的量化和理解的加深,我们的模型有可能成为针对细菌感染的更有效策略的基础。
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引用次数: 0
The angiogenic growth of cities 城市的血管生长
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-04-03 DOI: 10.1098/rsif.2023.0657
Isabella Capel-Timms, David Levinson, Bahman Lahoorpoor, Sara Bonetti, Gabriele Manoli

Describing the space–time evolution of urban population is a fundamental challenge in the science of cities, yet a complete theoretical treatment of the underlying dynamics is still missing. Here, we first reconstruct the evolution of London (UK) over 180 years and show that urban growth consists of an initial phase of diffusion-limited growth, followed by the development of the railway transport network and a consequential shift from central to suburban living. Such dynamics—which are analogous to angiogenesis in biological systems—can be described by a minimalist reaction–diffusion model coupled with economic constraints and an adaptive transport network. We then test the generality of our approach by reproducing the evolution of Sydney, Australia, from 1851 to 2011. We show that the rail system coevolves with urban population, displaying hierarchical characteristics that remain constant over time unless large-scale interventions are put in place to alter the modes of transport. These results demonstrate that transport schemes are first-order controls of long-term urbanization patterns and efforts aimed at creating more sustainable and healthier cities require careful consideration of population–transport feedbacks.

描述城市人口的时空演变是城市科学中的一项基本挑战,但目前仍缺乏对其基本动态的完整理论处理。在这里,我们首先重建了英国伦敦 180 年的演变过程,并表明城市增长包括一个扩散受限的初始增长阶段,随后是铁路交通网络的发展,以及随之而来的从市中心到郊区的生活转变。这种动态类似于生物系统中的血管生成,可以用一个简约的反应-扩散模型来描述,该模型与经济约束和适应性交通网络相结合。然后,我们通过再现澳大利亚悉尼从 1851 年到 2011 年的演变过程来检验我们方法的通用性。我们的研究表明,铁路系统与城市人口共同演化,显示出等级特征,这些特征随着时间的推移保持不变,除非采取大规模干预措施来改变交通方式。这些结果表明,交通方案是对长期城市化模式的一阶控制,要创建更可持续、更健康的城市,就必须认真考虑人口-交通反馈。
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引用次数: 0
Gaps in the wall of a perivascular space act as valves to produce a directed flow of cerebrospinal fluid: a hoop-stress model 血管周围空间壁上的缝隙充当阀门,产生定向流动的脑脊液:箍应力模型
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-04-03 DOI: 10.1098/rsif.2023.0659
Yiming Gan, John H. Thomas, Douglas H. Kelley

The flow of cerebrospinal fluid (CSF) along perivascular spaces (PVSs) is an important part of the brain’s system for clearing metabolic waste. Astrocyte endfeet bound the PVSs of penetrating arteries, separating them from brain extracellular space. Gaps between astrocyte endfeet might provide a low-resistance pathway for fluid transport across the wall. Recent studies suggest that the astrocyte endfeet function as valves that rectify the CSF flow, producing the net flow observed in pial PVSs by changing the size of the gaps in response to pressure changes. In this study, we quantify this rectification based on three features of the PVSs: the quasi-circular geometry, the deformable endfoot wall, and the pressure oscillation inside. We provide an analytical model, based on the thin-shell hoop-stress approximation, and predict a pumping efficiency of about 0.4, which would contribute significantly to the observed flow. When we add the flow resistance of the extracellular space (ECS) to the model, we find an increased net flow during sleep, due to the known increase in ECS porosity (decreased flow resistance) compared to that in the awake state. We corroborate our analytical model with three-dimensional fluid–solid interaction simulations.

脑脊液(CSF)沿血管周围空间(PVS)流动是大脑清除代谢废物系统的重要组成部分。星形胶质细胞内膜与穿透动脉的 PVS 相连,将 PVS 与脑细胞外空间隔开。星形胶质细胞内膜之间的间隙可能为液体跨壁运输提供了一条低阻力通道。最近的研究表明,星形胶质细胞内膜具有整流 CSF 流的阀门功能,通过改变间隙的大小来应对压力变化,从而产生在髓腔 PVS 中观察到的净流。在本研究中,我们根据 PVS 的三个特征对这种整流进行了量化:准圆形几何形状、可变形的内足壁和内部的压力振荡。我们提供了一个基于薄壳箍应力近似的分析模型,并预测泵送效率约为 0.4,这将对观测到的流量产生重大影响。当我们将细胞外空间(ECS)的流动阻力添加到模型中时,我们发现睡眠期间的净流量增加了,这是由于已知的 ECS 孔隙率增加(流动阻力减少),而清醒状态下的 ECS 孔隙率增加(流动阻力减少)。我们通过三维流固相互作用模拟证实了我们的分析模型。
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引用次数: 0
Joint extension speed dictates bio-inspired morphing trajectories for optimal longitudinal flight dynamics 关节伸展速度决定了生物启发的变形轨迹,从而实现最佳纵向飞行动力
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-04-01 DOI: 10.1098/rsif.2023.0734
C. Harvey
Avian wing morphing allows dynamic, active control of complex flight manoeuvres. Previous linear time-invariant (LTI) models have quantified the effect of varying fixed wing configurations but the time-dependent effects of morphing between different configurations is not well understood. To fill this gap, I implemented a linear parameter-varying (LPV) model for morphing wing gull flight. This approach models the wing joint angles as scheduled parameters and accounts for nonlinear kinematic and gravitational effects while interpolating between LTI models at discrete trim points. With the resulting model, I investigated the longitudinal response associated with various joint extension trajectories. By optimizing the extension trajectory for four independent objectives (speed and pitch angle overshoot, speed rise time and pitch angle settling time), I found that the extension trajectory inherent to the gull wing does not guarantee an optimal response but may provide a sufficient response with a simpler mechanical implementation. Furthermore, the results indicated that gulls likely require extension speed feedback. This morphing LPV model provides insights into underlying control mechanisms, which may allow for avian-like flight in future highly manoeuvrable uncrewed aerial vehicles.
鸟类的翅膀变形可以实现复杂飞行动作的动态主动控制。以前的线性时变(LTI)模型已经量化了固定翼配置变化的影响,但对不同配置之间的变形随时间变化的影响还不甚了解。为了填补这一空白,我为变形翼鸥飞行建立了一个线性参数变化(LPV)模型。这种方法将翅膀关节角度作为预定参数建模,并考虑非线性运动学和重力效应,同时在离散修剪点的 LTI 模型之间进行插值。利用由此产生的模型,我研究了与各种关节伸展轨迹相关的纵向响应。通过优化四个独立目标(速度和俯仰角过冲、速度上升时间和俯仰角稳定时间)的伸展轨迹,我发现海鸥翅膀固有的伸展轨迹并不能保证最佳响应,但可以通过更简单的机械实施提供足够的响应。此外,研究结果表明,海鸥可能需要伸展速度反馈。这种变形 LPV 模型提供了对潜在控制机制的深入了解,这可能使未来的高机动性无人驾驶飞行器实现类似鸟类的飞行。
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引用次数: 0
Understanding the impact of numerical solvers on inference for differential equation models. 了解数值求解器对微分方程模型推理的影响。
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-06 DOI: 10.1098/rsif.2023.0369
Richard Creswell, Katherine M Shepherd, Ben Lambert, Gary R Mirams, Chon Lok Lei, Simon Tavener, Martin Robinson, David J Gavaghan

Most ordinary differential equation (ODE) models used to describe biological or physical systems must be solved approximately using numerical methods. Perniciously, even those solvers that seem sufficiently accurate for the forward problem, i.e. for obtaining an accurate simulation, might not be sufficiently accurate for the inverse problem, i.e. for inferring the model parameters from data. We show that for both fixed step and adaptive step ODE solvers, solving the forward problem with insufficient accuracy can distort likelihood surfaces, which might become jagged, causing inference algorithms to get stuck in local 'phantom' optima. We demonstrate that biases in inference arising from numerical approximation of ODEs are potentially most severe in systems involving low noise and rapid nonlinear dynamics. We reanalyse an ODE change point model previously fit to the COVID-19 outbreak in Germany and show the effect of the step size on simulation and inference results. We then fit a more complicated rainfall run-off model to hydrological data and illustrate the importance of tuning solver tolerances to avoid distorted likelihood surfaces. Our results indicate that, when performing inference for ODE model parameters, adaptive step size solver tolerances must be set cautiously and likelihood surfaces should be inspected for characteristic signs of numerical issues.

用于描述生物或物理系统的大多数常微分方程(ODE)模型都必须使用数值方法近似求解。令人担忧的是,即使是那些对正向问题(即获得精确的模拟)似乎足够精确的求解器,对逆向问题(即从数据推断模型参数)可能也不够精确。我们的研究表明,对于固定步长和自适应步长的 ODE 求解器来说,如果求解正向问题的精度不够,就会扭曲似然曲面,使其变得参差不齐,从而导致推理算法陷入局部 "幻影 "最优状态。我们证明,在涉及低噪声和快速非线性动力学的系统中,由数值近似 ODEs 引起的推理偏差可能最为严重。我们重新分析了之前拟合德国 COVID-19 疫情的 ODE 变化点模型,并展示了步长对模拟和推断结果的影响。然后,我们根据水文数据拟合了一个更复杂的降雨径流模型,并说明了调整求解器公差以避免似然曲面扭曲的重要性。我们的结果表明,在对 ODE 模型参数进行推理时,必须谨慎设置自适应步长求解器公差,并检查似然曲面是否存在数值问题的特征迹象。
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引用次数: 0
Latent evolutionary signatures: a general framework for analysing music and cultural evolution. 潜在进化特征:分析音乐和文化进化的一般框架。
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-20 DOI: 10.1098/rsif.2023.0647
Jonathan Warrell, Leonidas Salichos, Michael Gancz, Mark B Gerstein

Cultural processes of change bear many resemblances to biological evolution. The underlying units of non-biological evolution have, however, remained elusive, especially in the domain of music. Here, we introduce a general framework to jointly identify underlying units and their associated evolutionary processes. We model musical styles and principles of organization in dimensions such as harmony and form as following an evolutionary process. Furthermore, we propose that such processes can be identified by extracting latent evolutionary signatures from musical corpora, analogously to identifying mutational signatures in genomics. These signatures provide a latent embedding for each song or musical piece. We develop a deep generative architecture for our model, which can be viewed as a type of variational autoencoder with an evolutionary prior constraining the latent space; specifically, the embeddings for each song are tied together via an energy-based prior, which encourages songs close in evolutionary space to share similar representations. As illustration, we analyse songs from the McGill Billboard dataset. We find frequent chord transitions and formal repetition schemes and identify latent evolutionary signatures related to these features. Finally, we show that the latent evolutionary representations learned by our model outperform non-evolutionary representations in such tasks as period and genre prediction.

文化的变化过程与生物进化有许多相似之处。然而,非生物进化的基本单元仍然难以捉摸,尤其是在音乐领域。在此,我们引入了一个通用框架,以共同确定基本单元及其相关的进化过程。我们将音乐风格以及和声和形式等方面的组织原则模拟为一个进化过程。此外,我们还提出,可以通过从音乐语料库中提取潜在的进化特征来识别这些过程,这与识别基因组学中的突变特征类似。这些特征为每首歌或每首乐曲提供了潜在的嵌入。我们为模型开发了一种深度生成架构,可将其视为一种具有进化先验约束潜空间的变异自动编码器;具体而言,每首歌曲的嵌入都通过基于能量的先验联系在一起,这促使在进化空间中相近的歌曲共享相似的表征。作为说明,我们分析了麦吉尔公告牌数据集中的歌曲。我们发现了频繁的和弦转换和形式上的重复方案,并找出了与这些特征相关的潜在演化特征。最后,我们展示了我们的模型所学习到的潜在演化表征在时期和流派预测等任务中优于非演化表征。
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引用次数: 0
Analysis of collision avoidance in honeybee flight. 蜜蜂飞行中的避撞分析。
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-27 DOI: 10.1098/rsif.2023.0601
Shreyansh Singh, Matthew Garratt, Mandyam Srinivasan, Sridhar Ravi

Insects are excellent at flying in dense vegetation and navigating through other complex spatial environments. This study investigates the strategies used by honeybees (Apis mellifera) to avoid collisions with an obstacle encountered frontally during flight. Bees were trained to fly through a tunnel that contained a solitary vertically oriented cylindrical obstacle placed along the midline. Flight trajectories of bees were recorded for six conditions in which the diameter of the obstructing cylinder was systematically varied from 25 mm to 160 mm. Analysis of salient events during the bees' flight, such as the deceleration before the obstacle, and the initiation of the deviation in flight path to avoid collisions, revealed a strategy for obstacle avoidance that is based on the relative retinal expansion velocity generated by the obstacle when the bee is on a collision course. We find that a quantitative model, featuring a controller that extracts specific visual cues from the frontal visual field, provides an accurate characterization of the geometry and the dynamics of the manoeuvres adopted by honeybees to avoid collisions. This study paves the way for the design of unmanned aerial systems, by identifying the visual cues that are used by honeybees for performing robust obstacle avoidance flight.

昆虫善于在茂密的植被中飞行和在其他复杂的空间环境中穿行。本研究调查了蜜蜂(Apis mellifera)在飞行过程中避免与正面遇到的障碍物相撞的策略。蜜蜂被训练飞过一条隧道,隧道内有一个单独的沿中线放置的垂直方向的圆柱形障碍物。蜜蜂在六种情况下的飞行轨迹被记录下来,其中障碍圆柱体的直径在 25 毫米到 160 毫米之间有系统地变化。通过分析蜜蜂飞行过程中的显著事件,如遇到障碍前的减速和为避免碰撞而开始偏离飞行路径,我们发现了一种避障策略,该策略基于蜜蜂在碰撞过程中障碍物产生的相对视网膜扩张速度。我们发现,一个以从前额视野提取特定视觉线索的控制器为特征的定量模型,能够准确描述蜜蜂为避免碰撞而采取的机动动作的几何形状和动态特征。这项研究通过确定蜜蜂用于执行稳健避障飞行的视觉线索,为无人驾驶航空系统的设计铺平了道路。
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引用次数: 0
Turbulence causes kinematic and behavioural adjustments in a flapping flier. 湍流导致拍打飞行器的运动学和行为学调整。
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-20 DOI: 10.1098/rsif.2023.0591
Emmanouil Lempidakis, Andrew N Ross, Michael Quetting, Krishnamoorthy Krishnan, Baptiste Garde, Martin Wikelski, Emily L C Shepard

Turbulence is a widespread phenomenon in the natural world, but its influence on flapping fliers remains little studied. We assessed how freestream turbulence affected the kinematics, flight effort and track properties of homing pigeons (Columba livia), using the fine-scale variations in flight height as a proxy for turbulence levels. Birds showed a small increase in their wingbeat amplitude with increasing turbulence (similar to laboratory studies), but this was accompanied by a reduction in mean wingbeat frequency, such that their flapping wing speed remained the same. Mean kinematic responses to turbulence may therefore enable birds to increase their stability without a reduction in propulsive efficiency. Nonetheless, the most marked response to turbulence was an increase in the variability of wingbeat frequency and amplitude. These stroke-to-stroke changes in kinematics provide instantaneous compensation for turbulence. They will also increase flight costs. Yet pigeons only made small adjustments to their flight altitude, likely resulting in little change in exposure to strong convective turbulence. Responses to turbulence were therefore distinct from responses to wind, with the costs of high turbulence being levied through an increase in the variability of their kinematics and airspeed. This highlights the value of investigating the variability in flight parameters in free-living animals.

湍流是自然界的一种普遍现象,但其对拍打飞行的影响却鲜有研究。我们评估了自由流湍流如何影响归巢鸽子(Columba livia)的运动学、飞行努力和轨迹特性,并将飞行高度的细微变化作为湍流水平的替代物。随着湍流的增加,鸽子的振翅幅度略有增加(与实验室研究类似),但伴随着平均振翅频率的降低,鸽子的拍翅速度保持不变。因此,鸟类对湍流的平均运动反应可能使其在不降低推进效率的情况下增加稳定性。然而,鸟类对湍流最明显的反应是增加了拍翅频率和振幅的变化。这些运动学上的逐次变化为湍流提供了瞬时补偿。它们也会增加飞行成本。然而,鸽子只对飞行高度做了很小的调整,这可能导致鸽子在暴露于强对流湍流时几乎没有变化。因此,鸽子对湍流的反应与对风的反应是不同的,高湍流的代价是通过增加鸽子运动学和空速的变化而产生的。这凸显了研究自由生活动物飞行参数变化的价值。
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引用次数: 0
Can institutions foster cooperation by wealth redistribution? 机构能否通过财富再分配促进合作?
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-13 DOI: 10.1098/rsif.2023.0698
Hiroaki Chiba-Okabe, Joshua B Plotkin

Theoretical models prescribe how institutions can promote cooperation in a population by imposing appropriate punishments or rewards on individuals. However, many real-world institutions are not sophisticated or responsive enough to ensure cooperation by calibrating their policies. Or, worse yet, an institution might selfishly exploit the population it governs for its own benefit. Here, we study the evolution of cooperation in the presence of an institution that is autonomous, in the sense that it has its own interests that may or may not align with those of the population. The institution imposes a tax on the population and redistributes a portion of the tax revenue to cooperators, withholding the remaining revenue for itself. The institution adjusts its rates of taxation and redistribution to optimize its own long-term, discounted utility. We consider three types of institutions with different goals, embodied in their utility functions. We show that a prosocial institution, whose goal is to maximize the average payoff of the population, can indeed promote cooperation-but only if it is sufficiently forward-looking. On the other hand, an institution that seeks to maximize welfare among cooperators alone will successfully promote collective cooperation even if it is myopic. Remarkably, even a selfish institution, which seeks to maximize the revenue it withholds for itself, can nonetheless promote cooperation. The average payoff of the population increases when a selfish institution is more forward-looking, so that a population under a selfish regime can sometimes fare better than under anarchy. Our analysis highlights the potential benefits of institutional wealth redistribution, even when an institution does not share the interests of the population it governs.

理论模型规定了机构如何通过对个人实施适当的惩罚或奖励来促进群体合作。然而,现实世界中的许多机构并不成熟,反应也不够灵敏,无法通过调整政策来确保合作。更有甚者,机构可能为了自身利益而自私地利用其管理的人群。在这里,我们研究的是在机构自主的情况下合作的演化,即机构有自己的利益,可能与民众的利益一致,也可能不一致。该机构对人口征税,并将部分税收重新分配给合作者,将剩余税收留作自己使用。机构调整税率和再分配率,以优化自身的长期贴现效用。我们考虑了三种类型的机构,它们的效用函数体现了不同的目标。我们发现,以最大化人口平均收益为目标的亲社会机构确实可以促进合作,但前提是它必须具有足够的前瞻性。另一方面,一个只追求合作者福利最大化的机构,即使是近视眼,也能成功地促进集体合作。值得注意的是,即使是一个自私的机构,只追求自身收益的最大化,也能促进合作。当一个自私的机构更具前瞻性时,群体的平均回报就会增加,因此,在自私制度下的群体有时会比无政府状态下的群体更好。我们的分析强调了制度性财富再分配的潜在益处,即使一个制度并不与它所管理的人口利益一致。
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引用次数: 0
Reconciling the efficacy and effectiveness of masking on epidemic outcomes. 协调掩蔽对流行病结果的效力和效果。
IF 3.9 2区 综合性期刊 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-03-01 Epub Date: 2024-03-06 DOI: 10.1098/rsif.2023.0666
Wan Yang, Jeffrey Shaman

During the COVID-19 pandemic, mask wearing in public settings has been a key control measure. However, the reported effectiveness of masking has been much lower than laboratory measures of efficacy, leading to doubts on the utility of masking. Here, we develop an agent-based model that comprehensively accounts for individual masking behaviours and infectious disease dynamics, and test the impact of masking on epidemic outcomes. Using realistic inputs of mask efficacy and contact data at the individual level, the model reproduces the lower effectiveness as reported in randomized controlled trials. Model results demonstrate that transmission within households, where masks are rarely used, can substantially lower effectiveness, and reveal the interaction of nonlinear epidemic dynamics, control measures and potential measurement biases. Overall, model results show that, at the individual level, consistent masking can reduce the risk of first infection and, over time, reduce the frequency of repeated infection. At the population level, masking can provide direct protection to mask wearers, as well as indirect protection to non-wearers, collectively reducing epidemic intensity. These findings suggest it is prudent for individuals to use masks during an epidemic, and for policymakers to recognize the less-than-ideal effectiveness of masking when devising public health interventions.

在 COVID-19 大流行期间,在公共场所佩戴口罩是一项关键的控制措施。然而,报告的戴口罩效果远低于实验室测量的效果,这导致人们对戴口罩的效用产生怀疑。在此,我们开发了一个基于代理的模型,该模型全面考虑了个人戴口罩行为和传染病动态,并测试了戴口罩对流行病结果的影响。利用个人层面的掩蔽效果和接触数据的现实输入,该模型再现了随机对照试验中报告的较低效果。模型结果表明,很少使用口罩的家庭内部传播会大大降低效果,并揭示了非线性流行动态、控制措施和潜在测量偏差之间的相互作用。总体而言,模型结果表明,在个人层面,持续使用口罩可以降低首次感染的风险,并随着时间的推移降低重复感染的频率。在人群层面,口罩可为佩戴口罩者提供直接保护,也可为未戴口罩者提供间接保护,从而共同降低流行强度。这些研究结果表明,个人在流行病期间使用口罩是明智之举,决策者在制定公共卫生干预措施时也应认识到口罩的效果并不理想。
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引用次数: 0
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