More food for thoughts here:
Intro to the article
"A Critique of the Critical Cochlea: Hopf—a Bifurcation—Is Better Than None"
A. J. Hudspeth, Frank Jülicher,2 and Pascal Martin3
«The sense of hearing achieves its striking sensitivity, frequency selectivity, and dynamic range through an active process mediated by the inner ear’s mechanoreceptive hair cells. Although the active process renders hearing highly nonlinear and produces a wealth of complex behaviors, these various characteristics may be understood as consequences of a simple phenomenon: the Hopf bifurcation. Any critical oscillator operating near this dynamic instability manifests the properties demonstrated for hearing: amplification with a specific form of compressive nonlinearity and frequency tuning whose sharpness depends on the degree of amplification. Critical oscillation also explains spontaneous otoacoustic emissions as well as the spectrum and level dependence of the ear’s distortion products. Although this has not been realized, several valuable theories of cochlear function have achieved their success by incorporating critical oscillators.
The technical specifications of the human ear are remarkable. We can hear sounds that evoke mechanical vibrations of magnitudes comparable to those produced by thermal noise (de Vries 1948; Sivian and White 1933). Hearing is so sharply tuned to specific frequencies that trained musicians can distinguish tones differing in frequency by only 0.1% (Spiegel and Watson 1984). Finally, our ears can process sounds over a range of amplitudes encompassing six orders of magnitude, which corresponds to a trillionfold range in stimulus power (Knudsen 1923).
These striking characteristics of our hearing emerge because the ear is not a passive sensory receptor, but possesses an active process that augments audition in three ways (reviewed in Hudspeth 2008; Manley 2000, 2001). First, amplification renders hearing several hundred times as sensitive as would be expected for a passive system. The active process next exhibits tuning that sharpens our frequency discrimination. Finally, a compressive nonlinearity ensures that inputs spanning an enormous range of sound-pressure levels are systematically encoded by a modest range of mechanical vibrations and in turn of receptor potentials and nerve-fiber firing rates. The active process additionally exhibits the striking epiphenomenon of spontaneous otoacoustic emission, the production of sound by an ear in the absence of external stimulation. Although considerable attention has been devoted to these properties in mammalian and especially human hearing, the four defining features of the active process are equally characteristic of nonmammalian tetrapods (reviewed in Manley 2001).»
conclusion of the article :
«Despite the power of critical oscillation to explain many cochlear phenomena, the idea has provoked some skepticism in the decade since its introduction. The principal objections seem to stem from consideration of engineering principles. The design of electrical circuits customarily emphasizes linearity: for the reproduction of music and other sounds, as well as in the amplification, transmission, and storage of time sequences in general, every effort is made to minimize distortions arising from nonlinearity of the apparatus. Although the proposal of critical oscillation inevitably introduces nonlinearity into our understanding of the ear’s operation, that choice is thrust on us: mammalian hearing is highly nonlinear, so much so that attention has been directed specifically to the sense’s essential nonlinearity.
A second common goal of engineering is stability: whenever possible, it is desirable that apparatus be immune from spontaneous oscillation and other instabilities. The ear’s behavior offers us little choice but to accept the presence of oscillators within the cochlea, given that spontaneous otoacoustic emissions are ubiquitous. Even though these oscillators operate individually at the brink of instability, however, the mammalian cochlea as a whole is generally stable and reliable. Evolution plays by rules different from those of the best engineers: the least sliver of selective advantage trumps the esthetic and practical considerations of circuit design. The evidence discussed throughout this review suggests that the positive qualities of a critical oscillator–including amplification, frequency tuning, and compressive nonlinearity–have led to the selection of an active process operating at a Hopf bifurcation.»
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2944685/
Overemphasis under the characters in the text is mine... 😁😊