A canonical oscillator model of cochlear dynamics

Lerud, Karl D.; Kim, Ji Chul; Almonte, Felix V.; Carney, Laurel H.; Large, Edward W.

doi:10.1016/j.heares.2019.06.001

Cited by 13 publications

(11 citation statements)

References 43 publications

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“…In contrast, the oscillatory model suggests that the FFR is generated by neuronal circuitry with inherently oscillatory properties even at low levels (i.e. cochlea, inferior colliculus) (Lerud et al, 2019). The delay-based and oscillatory models make different predictions about auditory signal processing and perception.…”

Section: Introductionmentioning

confidence: 96%

Oscillatory Entrainment of the Frequency-following Response in Auditory Cortical and Subcortical Structures

et al. 2021

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There is much debate about the existence and function of neural oscillatory entrainment mechanisms in the auditory system. The frequency-following response (FFR) is an index of neural periodicity encoding that can provide a vehicle to study entrainment in frequency ranges relevant to speech and music processing. Criteria for entrainment include the presence of post-stimulus oscillations and phase alignment between stimulus and endogenous activity. To test the hypothesis of entrainment, in experiment 1 we collected FFR data to a repeated syllable using magneto-(MEG) and electroencephalography in 20 healthy adults. We observed significant oscillatory activity after stimulus offset in auditory cortex and subcortical auditory nuclei, consistent with entrainment. In these structures the FFR fundamental frequency converged from a lower value over 100 ms to the stimulus frequency, consistent with phase alignment, and diverged to a lower value after offset, consistent with relaxation to a preferred frequency. In experiment 2, we tested how transitions between stimulus frequencies affected the MEG-FFR to a train of pure-tone pairs in 30 adults. We found that the FFR was affected by the frequency of the preceding tone for up to 40 ms at subcortical levels, and even longer durations at cortical levels. Our results suggest that oscillatory entrainment may be an integral part of periodic sound representation throughout the auditory neuraxis. The functional role of this mechanism is unknown, but it could serve as a fine-scale temporal predictor for frequency information, enhancing stability and reducing susceptibility to degradation that could be useful in real-life noisy environments.

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Section: Introductionmentioning

confidence: 96%

Oscillatory Entrainment of the Frequency-following Response in Auditory Cortical and Subcortical Structures

et al. 2021

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“…As an aside, a parallel source of inspiration for the gradient metameterial considered in this work is the assortment of cochlear models based on an arrays of harmonic oscillators [22][23][24][25][26][27]. The compliance of the cochlear partition is largely accounted for by the basilar membrane which is composed of soft, elastic tissue reinforced by strong collagen fibres across the cochlea's width ( Figure 1) [3,28,29].…”

Section: An Acoustic Metamaterialsmentioning

confidence: 99%

“…As an aside, a parallel source of inspiration for the gradient metamaterial considered in this work is the assortment of cochlear models based on arrays of harmonic oscillators [22][23][24][25][26][27][28]. The cochlear partition is anisotropic and is much stiffer across its width than along its length [3,29,30].…”

Section: (B) An Acoustic Metamaterialsmentioning

confidence: 99%

“…Hopf resonators have become popular objects to study in the field of non-linear cochlear mechanics thanks to their remarkable ability to account for the key properties that typify cochlear behaviour [6,24,25,[40][41][42][43][44][45]. The normal form of a single Hopf resonator z = z(t) : R → C in the complex plane is given by the forced differential equation…”

Section: Hopf Resonators In Cochlear Mechanicsmentioning

confidence: 99%

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Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators

Ammari

Davies

2020

Proc. R. Soc. A.

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We present a design for an acoustic metamaterial that mimics the behaviour of the active cochlea. This material is composed of a size-graded array of cylindrical subwavelength resonators, has similar dimensions to the cochlea and is able to per- form frequency separation of audible frequencies. Nonlinear amplification is introduced to the model in order to replicate the behaviour of the cochlear amplifier. This formulation takes the form of a fluid-coupled array of Hopf resonators. We seek solutions in the form of a modal decomposition, so as to retain the physically derived coupling between resonators.

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“…The mathematical complexity of simultaneous interactions between subwavelength resonators has been a significant barrier to developing Helmholtz' resonance models [15,19]. In order to describe the coupling interactions between hair cell bundles, we model the acoustic pressure locally on the surface of the basilar membrane.…”

Section: Introductionmentioning

confidence: 99%

A fully coupled subwavelength resonance approach to filtering auditory signals

Ammari

Davies

2019

Proc. R. Soc. A.

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The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study the acoustic pressure field due to scattering by a graded array of subwavelength resonators. Using this method, we study a graded-resonance model for the cochlea. We compute the resonant modes of the system and explore the model's ability to decompose incoming signals. We are able to offer mathematical explanations for the cochlea's so-called "travelling wave" behaviour and tonotopic frequency map. Mathematics subject classification: 35R30, 35C20

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A canonical oscillator model of cochlear dynamics

Cited by 13 publications

References 43 publications

Oscillatory Entrainment of the Frequency-following Response in Auditory Cortical and Subcortical Structures

Oscillatory Entrainment of the Frequency-following Response in Auditory Cortical and Subcortical Structures

Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators

A fully coupled subwavelength resonance approach to filtering auditory signals

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