Kinetic model for dynein oscillatory activity

A kinetic model for dynein, a molecular motor, is considered. This model explains the oscillatory behaviour, observed by Chikako Shingyoji et al. [Ch. Shingyoji, H. Higuchi, M. Yoshimura, E. Katayama, T. Yanagida, Dynein arms are oscillatory force generators, Nature 393 (1998) 711-714.] and by Susumu Aoyama and Ritsu Kamiya [S. Aoyama, R. Kamiya, Cyclical interactions between two outer doublet microtubules in split flagellar axonemes, Biophys. J. 89 (2005) 3261-3268.] in surprisingly simple axonemal fragments. The model shows that sustained oscillations can be generated due to the obligate cooperative interaction of the two dynein heads in the axonemal fragments. No other feedback control interactions are involved in the model to explain oscillations, similar to those observed experimentally, for realistic dynein rate constants. The modified model shows how the ATP hydrolytic exhaustion influences the amplitude and frequency of dynein oscillatory activity.