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arXiv · 1109.1443

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

Alessandro Fiasconaro·Juan José Mazo·Fernando Falo
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Abstract

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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Alessandro Fiasconaro, Juan José Mazo, Fernando Falo. 2012-02-23. Michaelis-Menten dynamics of a polymer chain out of a dichotomous ATP-based motor. https://doi.org/10.1088/1367-2630%2F14%2F2%2F023004

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