In vivo areal modulus of elasticity estimation of the human tympanic membrane system:: modelling of middle ear mechanical function in normal young and aged ears

The quasi- static elastic properties of the tympanic membrane system can be described by the areal modulus of elasticity determined by a middle ear model. The response of the tympanic membrane to quasi- static pressure changes is determined by its elastic properties. Several clinical problems are related to these, but studies are few and mostly not comparable. The elastic properties of membranes can be described by the areal modulus, and these may also be susceptible to age-related changes reflected by changes in the areal modulus. The areal modulus is determined by the relationship between membrane tension and change of the surface area relative to the undeformed surface area. A middle ear model determined the tension - strain relationship in vivo based on data from experimental pressure - volume deformations of the human tympanic membrane system. The areal modulus was determined in both a younger ( n = 10) and an older ( n = 10) group of normal subjects. The areal modulus for lateral and medial displacement of the tympanic membrane system was smaller in the older group ( mean = 0.686 and 0.828 kN m(-1), respectively) compared to the younger group ( mean = 1.066 and 1.206 kN m(-1), respectively), though not significantly ( 2p = 0.10 and 0.11, respectively). Based on the model the areal modulus was established describing the summated elastic properties of the tympanic membrane system. Future model improvements include exact determination of the tympanic membrane area accounting for its shape via 3D finite element analyses. In vivo estimates of Young's modulus in this study were a factor 2 - 3 smaller than previously found in vitro. No significant age- related differences were found in the elastic properties as expressed by the areal modulus.