Effective-Spring Model of Tympanic Response in Archosaurs
| Autor: | J. Leo van Hemmen, David T. Heider |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Generalization
Structure (category theory) Shell (structure) Sound perception 030218 nuclear medicine & medical imaging 03 medical and health sciences 0302 clinical medicine Classical mechanics Tympanic Membranes Spring (device) 030220 oncology & carcinogenesis Series expansion Excitable membrane Mathematics |
| Zdroj: | Open Journal of Biophysics. :21-50 |
| ISSN: | 2164-5396 2164-5388 |
| DOI: | 10.4236/ojbiphy.2019.91003 |
| Popis: | Whereas for smaller animals the eardrums are well-characterized as excitable membranes or drums, some animals such as several archosaurs feature, as a first approximation, a rather stiff elastic shell supported by an elastic ring. Mathematically, the theory of plates and shells is applicable but its governing equations overly complicate the modeling. Here the notion of tympanic structure is introduced as a generalization of “ordinary” tympanic membranes so as to account for sound perception as it occurs in archosaurs, such as birds and crocodilians. A mathematical model for the tympanic structure in many archosaurs called two-spring model implements this notion. The model is exactly soluble and solutions are presented in closed form and as a series expansion. Special emphasis is put onto offering an easy-to-apply model for describing experiments and performing numerical studies. The analytic treatment is supplemented by a discussion of the applicability of the two-spring model in auditory research. An elasticity-theoretic perspective of the two-spring model is given in the Appendix. |
| Databáze: | OpenAIRE |
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