The auditory nerve can represent firing-rate differences reliably over about of…

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

The auditory nerve can represent firing-rate differences reliably over about 20 dB20\,\mathrm{dB} of response amplitude. ((a)) If the cochlear amplifier compresses with A∝F1/3A\propto F^{1/3} near its best frequency, over what range of stimulus level, in decibels, can the response stay within that 20 dB20\,\mathrm{dB} window? ((b)) A hypothetical non-compressive (linear) system has A∝FA\propto F. Over what stimulus range, in decibels, would its response stay within the same 20 dB20\,\mathrm{dB} window?

Browse the problem library