微生物细胞在平面上的随机游动分布及其性质

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2020-06-06 DOI:10.1080/23324309.2020.1785892

M. El-Hadidy

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引用次数: 1

摘要

摘要本文提出了在任意时间t下微生物细胞在平面上运动分布的概率密度函数(PDF)的展开式。一个二维随机游走过程精确地模拟了这种运动。这些细胞在表面上以匀速线性运动，并在指数分布的时间间隔后改变方向。此外，路径长度和均匀分布转角是独立的。给出了该分布的原始版本和已知有界版本的一些统计性质。利用实际数据集对电池尺寸的估计长度参数进行了仿真研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Random Walk Microorganisms Cells Distribution on a Planar Surface and Its Properties

Abstract This paper presents an expansion of the Probability Density Function (PDF) at any time t for the distribution of the microorganism cells movement on the planar surface. A 2-dimensional random walk process accurately models this movement. These cells move linearly on the surface with constant speed and change their direction after exponentially distributed time intervals. In addition, the path length and the uniformly distributed turn angles are independent. Some statistical properties of the original and bounded known version of this distribution have been provided. The estimated length parameter of the cell size is investigated with a simulation study by using a real data set.

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.