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The Cochlea

The Cochlea

The cochlea is a coiled structure in the inner ear that contains hair cells—the sensory receptors of the auditory system. Sound waves are transmitted to the cochlea by small bones attached to the eardrum called the ossicles, which vibrate the oval window that leads to the inner ear. This causes fluid in the chambers of the cochlea to move, vibrating the basilar membrane.

Hair Cells

Hair Cells

Hair cells are the sensory receptors of the auditory system—they transduce mechanical sound waves into electrical energy that the nervous system can understand. Hair cells are located in the organ of Corti within the cochlea of the inner ear, between the basilar and tectorial membranes. The actual sensory receptors are called inner hair cells. The outer hair cells serve other functions, such as sound amplification in the cochlea, and are not discussed in detail here.

Auditory Pathway

Auditory Pathway

Auditory pathways constitute the complex neural circuits responsible for transmitting and interpreting auditory information from the peripheral auditory system to the brain. Sound waves are initially captured by the outer ear, funneled through the ear canal, and reach the tympanic membrane (eardrum). These vibrations are transmitted via the middle ear's ossicles to the inner ear's cochlea.
When viewed cross-sectionally, the cochlea reveals the scala vestibuli and scala tympani flanking the...

Anatomy of the Ear

Anatomy of the Ear

Auditory sensation, commonly called hearing, involves the transformation of sonic waves into neural impulses facilitated by the structures of the auditory organ. The prominent, flesh-like structure on the side of the head, called the auricle, directs sound waves towards the auditory canal. The auricle is often mislabeled as the pinna, a term more aligned with mobile structures like a feline's external ear. The auditory canal penetrates the cranium via the external auditory meatus of the...

Hearing

Hearing

When we hear a sound, our nervous system is detecting sound waves—pressure waves of mechanical energy traveling through a medium. The frequency of the wave is perceived as pitch, while the amplitude is perceived as loudness.

Perceiving Loudness, Pitch, and Location

Perceiving Loudness, Pitch, and Location

The human brain perceives pitch through two primary mechanisms reflected in place theory and frequency theory. Each mechanism describes how sound waves are interpreted as specific pitches by the brain, offering insights into the intricate processes of auditory perception.
Place theory, or place coding, suggests that different pitches are heard because various sound waves activate specific locations along the cochlea's basilar membrane. The brain determines the pitch of a sound by identifying...

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Related Experiment Video

Updated: May 21, 2026

Dextran Labeling and Uptake in Live and Functional Murine Cochlear Hair Cells

Dextran Labeling and Uptake in Live and Functional Murine Cochlear Hair Cells

Published on: February 8, 2020

Signal processing in the cochlea: the structure equations.

Hans Martin Reimann¹

¹Institute of Mathematics, University of Berne, Sidlerstrasse 5, 3012, Berne, Switzerland. martin.reimann@math.unibe.ch.

Journal of Mathematical Neuroscience

|June 5, 2012

Summary

This summary is machine-generated.

This study introduces structure equations, a system of partial differential equations, to model signal processing in the cochlea. These equations quantify the balance between phase and amplitude in auditory information processing.

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Area of Science:

Auditory Neuroscience
Mathematical Biology
Signal Processing

Background:

Physical and physiological invariance laws, including time invariance and local symmetry, form the basis of an abstract model.
Harmonic analysis and Lie theory are essential mathematical prerequisites for this model's development.

Purpose of the Study:

To develop a mathematical framework for understanding signal processing in the cochlea.
To describe signal processing using phase and amplitude observables.

Main Methods:

Formulation of a linear system of partial differential equations, termed structure equations.
Analysis based on physical and physiological invariance laws, harmonic analysis, and Lie theory.

Main Results:

A linear system of partial differential equations (structure equations) describing cochlear signal processing.
The equations are formulated for phase and the logarithm of amplitude.
These quantities represent essential physiological observables in auditory pathways.

Conclusions:

The structure equations quantitatively reveal the balance between phase and amplitude in auditory information processing.
The system is mathematically classified as an inhomogeneous ∂¯-equation.
Solutions involve a particular solution and a holomorphic function, offering a global view of cochlear signal processing.