An active particle can convert its internal energy into mechanical work. We study a generalized energy-depot model of an overdamped active particle in a ratchet potential. Using well-known biological parameters for kinesin-1 and modeling ATP influx as a pulsed energy supply, we apply our model to the molecular motor system. We find that our simple model can capture the essential properties of the kinesin motor such as forward stepping, stalling, backward stepping, dependence on ATP concentration, and stall force. Our model might be quite universal in the sense that it is able to describe dynamics of various types of motors as long as realistic parameters for each motor species are adopted.
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Acknowledgements We thank to Prof. C. Hyeon at KIAS for fruitful discussions. This work was partially supported by the Max Planck Institute for the Physics of Complex Systems through its visiting program (to C.K.K.) and by Leading Foreign Research Institute Recruitment Program 2010-00453 and Basic Science Research Programs 2011-0008074 (to K.J.B.L.) and 2011-0023395 (to M.H.C.) through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology.
- Active particle
- Energy depot model