How White Noise Generates Power-Law Switching in Bacterial Flagellar Motors

Yuhai Tu, G. Grinstein
2005 Physical Review Letters  
The clockwise (CW) or counterclockwise (CCW) spinning of a bacterial flagellar motor is controlled by the concentration Y of a phosphorylated protein, CheY-P. Representing the stochastic switching behavior of the motor by a dynamical two-state (CW and CCW) model, whose energy levels fluctuate in time (t) as Yt fluctuates, we show that temporal fluctuations in Yt can generate a power-law distribution for the durations of the CCW states, in agreement with recent experiments. Correlations between
more » ... he duration times of nearby CCW (CW) intervals are predicted by our model, and shown to exist in the experimental data and to affect the power spectrum for motor switching.
doi:10.1103/physrevlett.94.208101 pmid:16090291 fatcat:rno2xszdongy5fcsm6ft722h7q