Fitting pole-zero micromechanical models to cochlear response measurements

Elliott, Stephen J.; Ni, Guangjian; Sun, Luyang

doi:10.1121/1.4996128

Cited by 11 publications

(9 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Because a variety of linearized models can reproduce the main features of measured BM transfer functions in the lowlevel linear regime (e.g., Refs. [18,23,24,65,91]), evaluating models based on their linear responses is a necessary but insufficient measure of "quality." As Zweig pointed out [32], different linear models, even those with different numbers of spatial dimensions, can be considered functionally equivalent if they predict similar wave numbers for the traveling wave.…”

Section: Discussionmentioning

confidence: 99%

Nonlinear cochlear mechanics without direct vibration-amplification feedback

Altoè

Shera

2020

Phys. Rev. Research

View full text Add to dashboard Cite

Recent in vivo recordings from the mammalian cochlea indicate that although the motion of the basilar membrane appears actively amplified and nonlinear only at frequencies relatively close to the peak of the response, the internal motions of the organ of Corti display these same features over a much wider range of frequencies. These experimental findings are not easily explained by the textbook view of cochlear mechanics, in which cochlear amplification is controlled by the motion of the basilar membrane (BM) in a tight, closed-loop feedback configuration. This study shows that a simple phenomenological model of the cochlea inspired by the work of Zweig [J. Acoust. Soc. Am. 138, 1102 (2015)] can account for recent data in mouse and gerbil. In this model, the active forces are regulated indirectly, through the effect of BM motion on the pressure field across the cochlear partition, rather than via direct coupling between active-force generation and BM vibration. The absence of strong vibration-amplification feedback in the cochlea also provides a compelling explanation for the observed intensity invariance of fine time structure in the BM response to acoustic clicks.

show abstract

Section: Discussionmentioning

confidence: 99%

Nonlinear cochlear mechanics without direct vibration-amplification feedback

Altoè

Shera

2020

Phys. Rev. Research

View full text Add to dashboard Cite

show abstract

“…The analysis here examines the impulse response of the cochlear model constructed by Elliott, Ni & Sun (2017) . The model is comprised of multiple fluid-coupled sections each of which has 2-DOF micromechanics involving the BM and the TM.…”

Section: Resultsmentioning

confidence: 99%

“… Elliott, Ni & Sun (2017) fitted data from the Ogahalai lab—velocity and phase of the mouse cochlea in response to sinusoidal stimuli of 10, 30, 50, and 70 dB SPL ( Lee et al, 2015 )—with a ‘coupled-box’ model of the mammalian cochlea which contained 2-DOF micromechanical elements. The micromechanical elements were coupled by fluid according to that in Elliott, Lineton & Ni (2011) , and the general form of the basilar membrane (BM) admittance of the coupled-box model had four poles and three zeros.…”

Section: Introductionmentioning

confidence: 99%

Cochlear impulse responses resolved into sets of gammatones: the case for beating of closely spaced local resonances

Bell

Wit

2018

PeerJ

View full text Add to dashboard Cite

Gammatones have had a long history in auditory studies, and recent theoretical work suggests they may play an important role in cochlear mechanics as well. Following this lead, the present paper takes five examples of basilar membrane impulse responses and uses a curve-fitting algorithm to decompose them into a number of discrete gammatones. The limits of this ‘sum of gammatones’ (SOG) method to accurately represent the impulse response waveforms were tested and it was found that at least two and up to six gammatones could be isolated from each example. Their frequencies were stable and largely independent of stimulus parameters. The gammatones typically formed a regular series in which the frequency ratio between successive members was about 1.1. Adding together the first few gammatones in a set produced beating-like waveforms which mimicked waxing and waning, and the instantaneous frequencies of the waveforms were also well reproduced, providing an explanation for frequency glides. Consideration was also given to the impulse response of a pair of elastically coupled masses—the basis of two-degree-of-freedom models comprised of coupled basilar and tectorial membranes—and the resulting waveform was similar to a pair of beating gammatones, perhaps explaining why the SOG method seems to work well in describing cochlear impulse responses. A major limitation of the SOG method is that it cannot distinguish a waveform resulting from an actual physical resonance from one derived from overfitting, but taken together the method points to the presence of a series of closely spaced local resonances in the cochlea.

show abstract

“…On the other hand, the micro mechanical model shows that the interactions between BM and OHC enhance BM motion. Although the specifics of this interaction are unclear, it is caused by a complicated process that can be probed by fitting the cochlear model to experimental data [4]. To summarize the modeling studies, macro and micro-cochlear mechanics are equivalent and dependent on each of the proposed models.…”

Section: Mathematical Description Of the Cochlear Modelmentioning

confidence: 99%

“…Here, cochlear mechanics have been described by a one-dimensional (1D) model of fluid and mechanical dynamics [2,3]. Recently, three-dimensional (3D) models have been shown to better match experimental results compared with 1D models [4]. In this regard, it has been reported that there is no substantial difference in response between 3D and two-dimensional (2D) models [5].…”

Section: Introductionmentioning

confidence: 99%

Efficiency limit of nonuniform grid setting in two-dimensional cochlear model

Murakami

2019

Acoust. Sci. & Tech.

View full text Add to dashboard Cite

In this study, a two-dimensional (2D) mechanical model of the cochlea, discretized by a nonuniform grid, is applied to investigate the mechanisms that limit the increase in the computational efficiency. To amount for experimental findings, cochlear models have become complicated. A cochlear model consists of micro-and macro mechanical models. Many types of micro mechanical model have been proposed. However, macro mechanical models are described by the Laplace equation and show various patterns of the cochlear response depending on the location. Therefore, an efficient step width depends on the location in the cochlea. To resolve this issue, a numerical calculation has been applied to divide the space of a cochlear model into a nonuniform grid and to achieve improved efficiency of the model. However, the limitation of this method remains unclear. To investigate this point, we develop a state space model for 2D cochlear mechanics with a nonuniform gird. Stability analysis and simulations are conducted for the cochlear model with nonuniform and uniform grids. As a result, the number of segments is reduced by 29%. In addition, the execution time is reduced by 10-fold. Therefore, it is shown that a nonuniform grid can efficiently divide the space for cochlear modeling.

show abstract

Fitting pole-zero micromechanical models to cochlear response measurements

Cited by 11 publications

References 51 publications

Nonlinear cochlear mechanics without direct vibration-amplification feedback

Nonlinear cochlear mechanics without direct vibration-amplification feedback

Cochlear impulse responses resolved into sets of gammatones: the case for beating of closely spaced local resonances

Efficiency limit of nonuniform grid setting in two-dimensional cochlear model

Contact Info

Product

Resources

About