I am reading about the mechanics of the basilar membrane in the inner ear. In various publications, it is said that, at a specific position on the basilar membrane, the outer hair cells are activated by the amount of basilar membrane displacement while the IHC are activated by its velocity.
As far as I know each position on the basilar membrane vibrates at a characteristic frequency. Given that the to-and-fro movements have the same frequency at all sound intensities, isn't the velocity be directly proportional to the membrane displacement? If that is the case, does this mean that the activation curve is steeper at higher frequencies?