Koorehdavoudi Hana, Bogdan Paul, Wei Guopeng, Marculescu Radu, Zhuang Jiang, Carlsen Rika Wright, Sitti Metin
Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA.
Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089-2560, USA.
Proc Math Phys Eng Sci. 2017 Jul;473(2203):20170154. doi: 10.1098/rspa.2017.0154. Epub 2017 Jul 12.
To add to the current state of knowledge about bacterial swimming dynamics, in this paper, we study the fractal swimming dynamics of populations of bacteria both and , while accounting for realistic conditions like volume exclusion, chemical interactions, obstacles and distribution of chemoattractant in the environment. While previous research has shown that bacterial motion is non-ergodic, we demonstrate that, besides the non-ergodicity, the bacterial swimming dynamics is multi-fractal in nature. Finally, we demonstrate that the multi-fractal characteristic of bacterial dynamics is strongly affected by bacterial density and chemoattractant concentration.
为了增加关于细菌游动动力学的当前知识状态，在本文中，我们研究了两种细菌群体的分形游动动力学，同时考虑了诸如体积排除、化学相互作用、障碍物以及环境中化学引诱剂分布等实际情况。虽然先前的研究表明细菌运动是非遍历性的，但我们证明，除了非遍历性之外，细菌游动动力学本质上是多重分形的。最后，我们证明细菌动力学的多重分形特征受到细菌密度和化学引诱剂浓度的强烈影响。
