Before revision:  Using the NOSC model (Nishinari et. al. PRL, {\bf 95}, 118101 (2005)), which captures the Brownian ratchet mechanism of individual KIF1A along with its biochemical cycle, we systematically derive an analytical expression for the dwell time distribution.  in between two consecutive steps each of which could be forward (+) or backward (-).
After revision:  Using the NOSC model (Nishinari et. al. PRL, {\bf 95}, 118101 (2005)), which captures the Brownian ratchet mechanism of individual KIF1A along with its biochemical cycle, we systematically derive an analytical expression for the dwell time distribution. More detailed information is contained in the probability densities of the "conditional dwell times" \tau_{\pm\pm in between two consecutive steps each of which could be forward (+) or backward (-).