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. 2016 Nov 16;6:37162. doi: 10.1038/srep37162

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Copyright © 2016, The Author(s)

This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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(A) A schematic of the transition probabilities between pause (blue) and motion (red) states of a motor protein along a single cytoskeletal filament, as described by the set of master equations (1). The four possibilities for the motility states of two successive steps are shown separately. (B) MSD as a function of the step number n for λ = 1, , and several values of κ_m and κ_w. The solid lines are obtained from the analytic expression (S17) and the symbols represent Monte Carlo simulation results. (C) Temporal evolution of the anomalous exponent α via Eq. (5), for the same parameters as in panel (B). (D) The crossover time n_c to the asymptotic ballistic motion for λ = 1 and in the (κ_w, κ_m) phase space.

Inline graphic — (A) A schematic of the transition probabilities between pause (blue) and motion (red) states of a motor protein along a single cytoskeletal filament, as described by the set of master equations (1). The four possibilities for the motility states of two successive steps are shown separately. (B) MSD as a function of the step number n for λ = 1, , and several values of κ_m and κ_w. The solid lines are obtained from the analytic expression (S17) and the symbols represent Monte Carlo simulation results. (C) Temporal evolution of the anomalous exponent α via Eq. (5), for the same parameters as in panel (B). (D) The crossover time n_c to the asymptotic ballistic motion for λ = 1 and in the (κ_w, κ_m) phase space.