Abstract
We have developed a numerical solution method for one-dimensional cochlea models in the time domain. The method has particularly been designed for models with a cochlear partition having nonlinear and active mechanical properties. Our starting point is the partial differential equation describing the response of the basilar membrane to stapes movements. Using Galerkin’s principle, we reduce this equation to a system of ordinary differential equations in the time variable. The remaining initial value problem is solved by means of an explicit fourth order Runge-Kutta scheme with a variable-step routine.
The calculations show that the response of an active, nonlinear cochlea model is very much contingent on the solution method. Approaches that exclude or suppress reflection phenomena must be considered inappropriate.
The results obtained so far suggest that nonlinear and active modelling of cochlear mechanics should comply with the following conditions in order to be consistent with experimental data:
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( i)
The active and nonlinear properties must be tightly linked,
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( ii)
Omission of these properties must yield the classical description of cochlear macromechanics,
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(iii)
The active behaviour of the partition must be localized in a small longitudinal region of the cochlea.
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© 1983 Delft University Press, The Netherlands
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Diependaal, R.J., Viergever, M.A. (1983). Nonlinear and Active Modelling of Cochlear Mechanics: A Precarious Affair. In: de Boer, E., Viergever, M.A. (eds) Mechanics of Hearing. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6911-7_18
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DOI: https://doi.org/10.1007/978-94-009-6911-7_18
Publisher Name: Springer, Dordrecht
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