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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/26562

Title: Motion of kinesin in a viscoelastic medium
Authors: Knoops, Gert
Vanderzande, Carlo
Issue Date: 2018
Citation: PHYSICAL REVIEW E, 97(5) (Art N° 052408)
Abstract: Kinesin is a molecular motor that transports cargo along microtubules. The results of many in vitro experiments on kinesin-1 are described by kinetic models in which one transition corresponds to the forward motion and subsequent binding of the tethered motor head. We argue that in a viscoelastic medium like the cytosol of a cell this step is not Markov and has to be described by a nonexponential waiting time distribution. We introduce a semi-Markov kinetic model for kinesin that takes this effect into account. We calculate, for arbitrary waiting time distributions, the moment generating function of the number of steps made, and determine from this the average velocity and the diffusion constant of the motor. We illustrate our results for the case of a waiting time distribution that is Weibull. We find that for realistic parameter values, viscoelasticity decreases the velocity and the diffusion constant, but increases the randomness (or Fano factor).
Notes: Knoops, G (reprint author), Hasselt Univ, Fac Sci, B-3590 Diepenbeek, Belgium.
URI: http://hdl.handle.net/1942/26562
DOI: 10.1103/PhysRevE.97.052408
ISI #: 000433038200003
ISSN: 2470-0045
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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