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

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.

12 pages, 8 figures

References in corpus (5)

• DNA Translocation through Graphene Nanopores
• Physical approaches to DNA sequencing and detection
• Mechanical coupling in flashing ratchets
• Translocation time of periodically forced polymer chains
• Two-state flashing molecular pump

Cited by in corpus (5)

• Active translocation of a semiflexible polymer assisted by an ATP-based molecular motor
• Modeling the mechano-chemistry of the ϕ29 DNA translocation motor
• Force spectroscopy analysis in polymer translocation
• End-pulled polymer translocation through a many-body flexible pore
• Polymer translocation driven by longitudinal and transversal time-dependent end-pulling forces