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使用洛特卡-沃尔泰拉框架对竞争性混合物进行建模,以实现更复杂的菌株间适应性评估。

Modeling Competitive Mixtures With the Lotka-Volterra Framework for More Complex Fitness Assessment Between Strains.

作者信息

Dimas Martins Afonso, Gjini Erida

机构信息

Mathematical Modeling of Biological Processes Laboratory, Instituto Gulbenkian de Ciência, Oeiras, Portugal.

Departamento de Estatística e Investigacão Operacional, Faculdade de Ciências, Universidade de Lisbon, Lisbon, Portugal.

出版信息

Front Microbiol. 2020 Sep 22;11:572487. doi: 10.3389/fmicb.2020.572487. eCollection 2020.

Abstract

With increasing resolution of microbial diversity at the genomic level, experimental and modeling frameworks that translate such diversity into phenotypes are highly needed. This is particularly important when comparing drug-resistant with drug-sensitive pathogen strains, when anticipating epidemiological implications of microbial diversity, and when designing control measures. Classical approaches quantify differences between microbial strains using the exponential growth model, and typically report a selection coefficient for the relative fitness differential between two strains. The apparent simplicity of such approaches comes with the costs of limiting the range of biological scenarios that can be captured, and biases strain fitness estimates to polarized extremes of competitive exclusion. Here, we propose a mathematical and statistical framework based on the Lotka-Volterra model, that can capture frequency-dependent competition between microbial strains within-host and upon transmission. As a , the model is applied to a previously-published dataset from competitive mixture experiments with influenza strains in ferrets (McCaw et al., 2011). We show that for the same data, our model predicts a scenario of coexistence between strains, and supports a higher bottleneck size in the range of 35-145 virions transmitted from donor to recipient host. Thanks to its simplicity and generality, such framework could be applied to other ecological scenarios of microbial competition, enabling a more complex and nuanced view of possible outcomes between two strains, beyond competitive exclusion.

摘要

随着在基因组水平上对微生物多样性分辨率的提高,迫切需要能够将这种多样性转化为表型的实验和建模框架。在比较耐药病原体菌株和敏感病原体菌株、预测微生物多样性的流行病学影响以及设计控制措施时,这一点尤为重要。经典方法使用指数增长模型来量化微生物菌株之间的差异,通常会报告两个菌株相对适合度差异的选择系数。这些方法表面上的简单性伴随着限制可捕捉的生物学场景范围的代价,并且使菌株适合度估计偏向竞争排斥的两极极端情况。在这里,我们提出了一个基于洛特卡 - 沃尔泰拉模型的数学和统计框架,该框架可以捕捉宿主内和传播时微生物菌株之间的频率依赖性竞争。作为一个例子,该模型被应用于先前发表的来自雪貂流感菌株竞争性混合实验的数据集(麦考等人,2011年)。我们表明,对于相同的数据,我们的模型预测了菌株之间的共存情况,并支持从供体宿主传播到受体宿主的病毒粒子数量在35 - 145范围内有更高的瓶颈大小。由于其简单性和通用性,这样的框架可以应用于微生物竞争的其他生态场景,从而能够对两个菌株之间可能的结果有更复杂和细致入微的看法,而不仅仅是竞争排斥。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a29a/7536265/9ee56056d977/fmicb-11-572487-g0001.jpg

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