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Hyperbolic model for bacterial movement through an orthotropic two-dimensional porous medium

机译：细菌通过正交各向异性二维多孔介质运动的双曲模型

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摘要

In this paper an alternative hyperbolic model for bacterial movement is used to represent the migration of a bacterial population through an anisotropic porous medium filled with a nutrient. It is shown how this model can effectively reproduce bacterial wave fronts, which are observed in bacterial migration through porous media experiments. Time and length scales are defined where hyperbolic model preserves its physical validity and predicts very different bacterial concentration profiles in comparison with the classical Keller-Segel model for chemosensitive movement. Representative values of the hyperbolic model parameters are taken from experimental systems reported in literature and it is found that characteristic diffusion time is much smaller than characteristic growth time; in this way, the practical usefulness of the proposed model is limited to time scales when bacterial growth is negligible for the studied system. An analytical solution is presented and discussed for the two-dimensional diffusion of bacterial population within a square orthotropic porous medium, and it is shown that anisotropic properties of the medium lead to preferential bacterial flows.
机译：在本文中，细菌运动的另一种双曲模型用于表示细菌种群通过填充有营养物的各向异性多孔介质的迁移。它显示了该模型如何有效地再现细菌波阵面，这是通过多孔介质实验在细菌迁移中观察到的。定义了时间和长度标度，其中双曲线模型保留了其物理有效性，并且与经典的Keller-Segel模型对化学敏感运动相比，预测了非常不同的细菌浓度曲线。双曲模型参数的代表值取自文献报道的实验系统，发现特征扩散时间比特征扩散时间小得多。以这种方式，当细菌生长对于所研究的系统而言可以忽略不计时，所提出的模型的实际有用性限于时间尺度。提出并讨论了在正交各向异性正交多孔介质中细菌种群的二维扩散的解析解决方案，结果表明该介质的各向异性特性导致细菌优先流动。

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  • 来源
    《Applied Mathematical Modelling》 |2015年第4期|1050-1062|共13页
  • 作者

    R.M. Hernandez; E. Rincon; R. Herrera; A.E. Chavez;

  • 作者单位

    Departamento de Ingenieria Quimica, Facultad de Quimica, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria 04510, Distrito Federal, Mexico;

    Departamento de Fisica y Matematicas, Universidad Iberoamericana Ciudad de Mexico, Prolongacion Paseo de la Reforma 880, Lomas de Santa Fe 01219, Distrito Federal, Mexico;

    Departamento de Ingenieria Quimica, Facultad de Quimica, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria 04510, Distrito Federal, Mexico;

    Departamento de Ingenieria Quimica, Facultad de Quimica, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria 04510, Distrito Federal, Mexico;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Chemotaxis; Bacterial migration; Porous medium; Hyperbolic model; Anisotropic medium;

    机译：趋化性细菌迁移;多孔介质双曲模型各向异性介质;

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