A biased random walk model for the trajectories of swimming micro-organisms
A biased random walk model for the trajectories of swimming micro-organisms
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DOI：
10.1006/jtbi.1997.0421
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发表时间：
1997-06-21
影响因子：
2
通讯作者：
Hader, DP
中科院分区：
文献类型：
--
作者：
Hill, NA;Hader, DP
具有首选行进方向的游动微生物的运动，例如向上（重力轴）或朝向光源（趋光性）移动的单细胞藻类，被建模为相关和有偏随机游走的连续极限，因为时间步长趋于零。该模型导致的Fokker-Planck方程的概率分布函数的方向的细胞，从该宏观参数，如平均细胞游泳方向和扩散系数，由于细胞游泳可以计算。该模型进行了测试的实验数据的引力和趋光性，并用于推导的宏观参数值，为未来使用的理论，例如生物对流。(C)出版社：Academic Press Limited。
The motion of swimming micro-organisms that have a preferred direction of travel, such as single-celled algae moving upwards (gravitaxis) or towards a light source (phototaxis), is modelled as the continuous limit of a correlated and biased random walk as the time step tends to zero. This model leads to a Fokker-Planck equation for the probability distribution function of the orientation of the cells, from which macroscopic parameters such as the mean cell swimming direction and the diffusion coefficient due to cell swimming can be calculated. The model is tested on experimental data for gravitaxis and phototaxis and used to derive values for the macroscopic parameters for future use in theories of bioconvection, for example. (C) 1997 Academic Press Limited.