Near its Hopf bifurcation the cochlear amplifier's response amplitude obeys the…
PHYSICS · Multi-part · Fermi University Physics · Mechanics & Dynamical Systems · Biophysics & Medical Physics · Bioelectricity, the senses and the physics of the body
Forces, Machines and Signals, Ch Hearing: from air pressure to a gated channel
Problem
Near its Hopf bifurcation the cochlear amplifier's response amplitude obeys the compressive law A∝F1/3, where F is the stimulus force amplitude at the hair bundle, valid close to the best frequency.
((a)) A stimulus increase of 45dB is applied. Find the resulting increase in response amplitude, in decibels.
((b)) Find the stimulus increase, in decibels, needed to raise the response amplitude by 8dB.