Department of Mathematical Sciences, University of Exeter Exeter, UK.
Biogeomagnetism Group, Paleomagnetism and Geochronology Laboratory, Key Laboratory of the Earth's Deep Interior, Institute of Geology and Institute of Geology and Geophysics, Chinese Academy of Sciences Beijing, China.
Front Microbiol. 2014 Jan 30;5:8. doi: 10.3389/fmicb.2014.00008. eCollection 2014.
We investigate the swimming motion of rod-shaped magnetotactic bacteria affiliated with the Nitrospirae phylum in a viscous liquid under the influence of an externally imposed, time-dependent magnetic field. By assuming that fluid motion driven by the translation and rotation of a swimming bacterium is of the Stokes type and that inertial effects of the motion are negligible, we derive a new system of the twelve coupled equations that govern both the motion and orientation of a swimming rod-shaped magnetotactic bacterium with a growing magnetic moment in the laboratory frame of reference. It is revealed that the initial pattern of swimming motion can be strongly affected by the rate of the growing magnetic moment. It is also revealed, through comparing mathematical solutions of the twelve coupled equations to the swimming motion observed in our laboratory experiments with rod-shaped magnetotactic bacteria, that the laboratory trajectories of the swimming motion can be approximately reproduced using an appropriate set of the parameters in our theoretical model.
我们研究了在外部施加的时变磁场影响下，隶属于硝化螺旋菌门的杆状趋磁细菌在粘性液体中的游动运动。通过假设由游动细菌的平移和旋转驱动的流体运动是斯托克斯型的，并且运动的惯性效应可以忽略不计，我们推导出了一个新的十二耦合方程组系统，该系统可以控制在实验室参考系中具有生长磁矩的游动杆状趋磁细菌的运动和取向。结果表明，生长磁矩的速率可以强烈影响初始游动运动模式。通过将十二耦合方程的数学解与我们在实验室实验中观察到的杆状趋磁细菌的游动运动进行比较，我们还发现，使用我们理论模型中的适当参数集，可以近似再现实验室游动运动的轨迹。
