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arXiv 1806.09694physics.bio-phcond-mat.softphysics.flu-dyn
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大肠杆菌电机转矩的计算

Computing the motor torque of Escherichia coli

Debasish Das, Eric Lauga

摘要:

细菌的旋转马达是一种天然的纳米技术奇迹,它通过在流体环境中为半刚性螺旋鞭毛丝的旋转提供动力来实现细胞运动。众所周知,电动机基本上在逆时针方向上以恒定扭矩运行,但过去的工作已经报道了该扭矩的大范围值。聚焦于游动的大肠杆菌细胞和粘在玻璃表面上的细胞,其中所有几何和环境参数都是已知的(Darnton等人,J. Bacteriology,2007,189,1756-1764),我们使用两种经验证的数值方法来计算与实验一致的电机扭矩值。具体来说,我们使用(和比较)的数值方法的基础上的边界积分表示的斯托克斯流,还开发了一种混合方法结合边界元和细长体理论来模拟细胞体和鞭毛丝,分别。使用测量的电机的旋转速度,我们的计算预测的电机扭矩的值在440 pNnm至829 pNnm的范围内,关键取决于鞭毛丝和附近的表面之间的距离。

英文摘要:

The rotary motor of bacteria is a natural nano-technological marvel that enables cell locomotion by powering the rotation of semi-rigid helical flagellar filaments in fluid environments. It is well known that the motor operates essentially at constant torque in counter-clockwise direction but past work have reported a large range of values of this torque. Focusing on Escherichia coli cells that are swimming and cells that are stuck on a glass surface for which all geometrical and environmental parameters are known (Darnton et al., J. Bacteriology, 2007, 189, 1756-1764), we use two validated numerical methods to compute the value of the motor torque consistent with experiments. Specifically, we use (and compare) a numerical method based on the boundary integral representation of Stokes flow and also develop a hybrid method combining boundary element and slender body theory to model the cell body and flagellar filament, respectively. Using measured rotation speed of the motor, our computations predict a value of the motor torque in the range 440 pNnm to 829 pNnm, depending critically on the distance between the flagellar filaments and the nearby surface.

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