Two Mathematical Models for the Tympanic Membrane
In this project we present two mathematical models for the human tympanic membrane. The eardrum can be viewed as an example of the vibrating drum problem. In the first model, we treat the tympanic membrane as a rectangular region. In the second model the tympanic membrane is considered as a disk. Both models use a wave equations. We study the impact of changes in the membrane tension related to trauma or tumors which cause the frequencies of vibration to either increase or decrease.
Andrea Bruder, Utah State University