


Volume 20 No 14 (2022)
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Homotopy And Group Action In The Functioning Of The Cochlea
Amthul Muqheet , Dr. B R Srinivasa ,Dr. Arathi Sudarshan
Abstract
This paper aims to bring forth a bio-mathematical application of both Homotopy and group action under the
umbrella of a unified theory approach. The unified theory approach establishes the existence of homotopy and
group action simultaneously in our application. A reasonable application exists in the cochlear functioning of the
human ear. Length modifications of the outer hair cells are due to voltage variations across their membrane. An
interesting fact is that we can relate the unified theory approach to functioning in the Basilar membrane finetuning as a function of outer hair cell motility. This paper works on developing a function theoretic approach to
establish the concepts of group action and homotopy in the functioning of the cochlea. We establish pure
mathematical concepts of homotopy and group action in an attempt to unify them resulting in this
interdisciplinary approach interpreting the context of this model mathematically
Keywords
Homotopy, Group actions, Basilar membrane, mechanoelectrical transduction, Hair cells/HB
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