👂 Cochlea & Hearing
Interactive cochlea simulation: watch the Békésy travelling wave peak at the characteristic place on the basilar membrane, see tonotopic frequency mapping and hearing loss.
About Cochlea & Hearing Mechanics
The cochlea is a fluid-filled, snail-shaped organ in the inner ear that converts sound vibrations into nerve signals through a process called mechano-electrical transduction. Its key structure is the basilar membrane — a tapered strip that runs the length of the cochlea and resonates at different positions depending on sound frequency, with high frequencies (up to ~20,000 Hz) exciting the stiff base and low frequencies (~20 Hz) exciting the flexible apex. The frequency-to-position mapping is described precisely by Greenwood's function: f = A(10^(ax) − k), where x is fractional distance from the apex, and the constants A = 165.4 Hz, a = 2.1, k = 0.88 are fitted to human cochlear anatomy.
This simulation visualises the travelling wave that propagates along the basilar membrane and shows where it peaks for a chosen input frequency. You can select different hearing loss profiles — normal, age-related (presbycusis), and noise-induced — to compare how cochlear damage shifts or attenuates the characteristic frequency response across the tonotopic map.
Frequently Asked Questions
What is the Greenwood function?
The Greenwood function, published by Donald Greenwood in 1961 and refined in 1990, maps the frequency a position on the basilar membrane responds to most strongly: f = A(10^(ax) − k). For humans, x ranges from 0 (apex) to 1 (base), giving a best frequency range from about 20 Hz at the apex to 20 kHz at the base. The logarithmic spacing is why our pitch perception is essentially logarithmic — we perceive equal intervals between 100 Hz and 200 Hz as the same musical step as between 1,000 Hz and 2,000 Hz.
What is the travelling wave and why does it peak at one location?
When sound enters the cochlea, it displaces the oval window, sending a pressure wave through the cochlear fluid. This drives a mechanical travelling wave along the basilar membrane from base to apex, but the wave grows and peaks at the location whose stiffness matches the input frequency — then abruptly dies. This "critical layer" behaviour was discovered by Georg von Békésy using stroboscopic illumination in 1947, work that earned him the 1961 Nobel Prize in Physiology or Medicine.
What is presbycusis and why does it affect high frequencies first?
Presbycusis is the gradual, age-related sensorineural hearing loss that typically begins with the high-frequency hair cells at the basal end of the cochlea. This region suffers the greatest mechanical stress because the basilar membrane is thinnest and stiffest there, and it also receives the most cumulative noise exposure over a lifetime. By the age of 65, approximately one-third of people have sufficient high-frequency hearing loss to impair speech understanding, particularly in background noise.
How do cochlear hair cells convert vibration into nerve signals?
The basilar membrane's deflection at the peak location bends the stereocilia — tiny hair-like bundles — on the outer and inner hair cells. This bending opens mechanosensitive ion channels, causing potassium and calcium ions to flow in, depolarising the cell and triggering neurotransmitter release at the synapse with the auditory nerve. Outer hair cells also act as amplifiers, contracting and expanding to boost the mechanical response by up to 50 dB, a process called electromotility driven by the protein prestin.
What is noise-induced hearing loss and can it be reversed?
Loud sounds (above ~85 dB over 8 hours, or above ~120 dB even briefly) can destroy hair cells, particularly in the basal high-frequency region. Unlike fish and birds, mammals cannot regenerate cochlear hair cells, so the loss is permanent. A single concert at 110 dB can cause temporary threshold shifts that become permanent after repeated exposure. Researchers are currently investigating gene therapies and small molecules that might stimulate hair-cell regeneration in mammals — results in mice are promising.
What is tonotopy and why is it preserved all the way to the brain?
Tonotopy is the systematic, frequency-ordered organisation of the auditory pathway. The cochlea's frequency map is preserved in the spiral ganglion, cochlear nucleus, inferior colliculus, medial geniculate nucleus of the thalamus, and primary auditory cortex (A1), where neurons responding to similar frequencies remain spatially adjacent. This organisation facilitates efficient processing of harmonically complex sounds like speech and music, and it is why cochlear implants can restore some speech perception despite using only 22 electrodes across the full frequency range.
How does a cochlear implant work?
A cochlear implant bypasses damaged hair cells by electrically stimulating the auditory nerve directly. A microphone worn behind the ear sends sound to a speech processor, which divides it into frequency bands and sends the band amplitudes to corresponding electrode pairs along the implanted array. With 22 electrodes spanning roughly 1.5 octaves each, recipients can perceive speech at around 80% sentence accuracy in quiet but struggle in noise due to the limited spectral resolution compared to the ~3,500 inner hair cells of a healthy cochlea.
Why can humans hear a frequency range of 20 Hz to 20,000 Hz?
Human hearing bandwidth is partly set by the physical length (35 mm) and stiffness gradient of the basilar membrane — longer membranes extend the low-frequency limit while stiffer bases raise the high-frequency limit. Many mammals extend much higher: bats use echolocation at 150 kHz, and dolphins up to 160 kHz. Infants can sometimes hear up to 20 kHz, but the high-frequency limit declines with age, with most adults losing sensitivity above 14–16 kHz by their thirties.
What is otoacoustic emission and what does it reveal about hearing?
Otoacoustic emissions (OAEs) are faint sounds generated by the active movements of outer hair cells and measurable with a sensitive microphone in the ear canal. They can be elicited by a click or pure tone (evoked OAEs) or occur spontaneously. Because they require intact outer hair cells, their absence at a specific frequency band confirms hair-cell damage in that region. OAE screening is now routinely performed on newborns in the UK within days of birth, detecting permanent hearing loss in roughly 1 in 1,000 babies.
How are decibels used to measure hearing thresholds?
Audiologists measure hearing using pure-tone audiometry, plotting hearing thresholds in decibels of hearing level (dB HL) at standard frequencies from 250 Hz to 8,000 Hz. Normal hearing is defined as 0–20 dB HL at all frequencies. Mild loss is 21–40 dB HL, moderate 41–60 dB HL, severe 61–80 dB HL, and profound above 80 dB HL. The audiogram shape reveals the type of loss: a high-frequency "ski slope" pattern is typical of noise damage or presbycusis, while a flat pattern suggests a conductive cause such as middle-ear fluid.
Place theory of pitch: the basilar membrane resonates at a different spot for each frequency (Greenwood tonotopic map) — high tones at the base, low at the apex. Watch the Békésy travelling wave peak at the characteristic place.
3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install