Michaelis-Menten dynamics of a polymer chain out of a dichotomous ATP-based motor

Details Michaelis-Menten dynamics of a polymer chain out of a dichotomous ATP-based motor Michaelis-Menten dynamics of a polymer chain out of a dichotomous ATP-based motor

2011-09-07

arxiv.org/abs/1109.1443v2

New Journal of Physics 14 (2012) 023004

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 8 figures

Scientific paper

10.1088/1367-2630/14/2/023004

We present a model of an ATP-fueled molecular machine which push a polymer through a pore channel. The machine acts between two levels (working-waiting), and the working one remains active for a fixed time giving a constant force. The machine activation rate can be put in relationship with the available ATP concentration in the solution, which gives the necessary energy supply. The translocation time shows a monotonic behavior as a function of the activation frequency and the velocity follows a Michaelis-Menten law that arises naturally in this description. The estimation of the stall force of the motor follows a corrected Michaelis-Menten law which still is to be checked in experimental investigation. The results presented agree with recent biological experimental findings.

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