A complete mathematical model of the entire auditory system will never exist

Evidence

Previous chapters addressed hearing and its capabilities, mainly from an experimental point of view, and a few phenomena were formulated mathematically. Such formulas may be thought to represent a mathematical model of the corresponding phenomenon. However, it is unlikely that a holistic mathematical model or a theory about the complete auditory system can ever be derived due to the enormous complexity of the system. Having said that, simplified mathematical theories are essential for determining causalities and for predicting the perception evoked by a given stimulus, which provides the evident need for experimental analysis and modelling of hearing. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 1562