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一种以登革热传播为例来解释媒介能量的替代模型。

An alternative model to explain the vectorial capacity using as example case in dengue transmission.

作者信息

Catano-Lopez Alexandra, Rojas-Diaz Daniel, Laniado Henry, Arboleda-Sánchez Sair, Puerta-Yepes María Eugenia, Lizarralde-Bejarano Diana Paola

机构信息

Departamento de Ciencias Matemáticas, Escuela de Ciencias, Universidad EAFIT, Carrera 49 No. 7 Sur-50, Medellín 050022, Colombia.

Departamento de Ciencias Biológicas, Escuela de Ciencias, Universidad EAFIT, Carrera 49 No. 7 Sur-50, Medellín 050022, Colombia.

出版信息

Heliyon. 2019 Oct 25;5(10):e02577. doi: 10.1016/j.heliyon.2019.e02577. eCollection 2019 Oct.

Abstract

Vectorial capacity (VC), as a concept that describes the potential of a vector to transmit a pathogen, has had historical problems related to lacks in dimensional significance and high error propagation from parameters that take part in the model to output. Hence, values estimated with those equations are not sufficiently reliable to consider in control strategies or vector population study. In this paper, we propose a new VC model consistent at dimensional level, i.e., the definition and the equation of VC have same and consistent units, with a parameter estimation method and mathematical structure that reduces the uncertainty in model output, using as a case of study an population of the municipality of Bello, Colombia. After a literature review, we selected one VC equation following biological, measurability and dimensional criteria, then we rendered a local and global sensitivity analysis, identifying the mortality rate of mosquitoes as a target component of the equation. Thus, we studied the Weibull and Exponential distributions as probabilistic models that represent the expectation of mosquitoes infective life, intending to include the best distribution in a selected VC structure. The proposed mortality rate estimation method includes a new parameter that represents an increase or decrease in vector mortality, as it may apply. We noticed that its estimation reduces the uncertainty associated with the expectation of mosquitoes' infective life expression, which also reduces the output range and variance in almost a half.

摘要

媒介能量(VC)作为一个描述媒介传播病原体潜力的概念,在历史上存在一些问题,包括维度意义缺失以及从参与模型的参数到输出的高误差传播。因此,用这些方程估计的值在控制策略或媒介种群研究中并不足够可靠,无法加以考虑。在本文中,我们提出了一个在维度层面上一致的新VC模型,即VC的定义和方程具有相同且一致的单位,同时提出了一种参数估计方法和数学结构,以减少模型输出的不确定性,我们以哥伦比亚贝洛市的一个种群作为研究案例。经过文献综述,我们根据生物学、可测量性和维度标准选择了一个VC方程,然后进行了局部和全局敏感性分析,确定蚊子死亡率是该方程的目标组成部分。因此,我们研究了威布尔分布和指数分布作为代表蚊子感染期寿命期望的概率模型,打算在选定的VC结构中纳入最佳分布。所提出的死亡率估计方法包括一个新参数,该参数根据情况表示媒介死亡率的增加或减少。我们注意到其估计减少了与蚊子感染期寿命表达期望相关的不确定性,这也将输出范围和方差几乎减半。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eae7/6820089/d61ba443b1c3/gr001.jpg

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