{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,2]],"date-time":"2023-08-02T20:51:23Z","timestamp":1691009483992},"reference-count":26,"publisher":"Acoustical Society of America (ASA)","issue":"4","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2014,10,1]]},"abstract":"<jats:p>To examine quasilinear filtering properties in cochlear mechanics, Liu and Neely [(2012). What Fire is in Mine Ears: Progress in Auditory Biomechanics, edited by C. A. Shera and E. S. Olson (AIP, Melville, NY), pp. 218\u2013223] calculated Wiener kernels of a nonlinear cochlear model; it was verified that the model's responses to noise could be accurately predicted by treating the kernels as the impulse responses of an equivalent linear system. However, this previous work fell short of showing that the quasilinear filters could be realized under the same structure of the model, a property predicted by de Boer [(1997). Aud. Neurosci. 3, 377\u2013388]. To address the issue of realizability, this paper presents a method that computes the cochlear model's responses to noise iteratively in the frequency domain. First, cochlear transfer functions are calculated as if the system is linear; then, the efficiency of the outer hair cell electromechanical transduction is adjusted. The two steps repeat until the transfer functions converge. Simulation shows that, as the stimulus level increases, the magnitude response of the cochlea decreases and the latency shortens. The corresponding impulse responses are approximately equal to the Wiener kernels obtained in time-domain simulation; as the stimulus varies, the approximation error is &amp;lt;5% in terms of energy. Thus, the Wiener kernels are effectively computed via the present method, which guarantees that the structure of the model is preserved.<\/jats:p>","DOI":"10.1121\/1.4894736","type":"journal-article","created":{"date-parts":[[2014,10,8]],"date-time":"2014-10-08T00:31:21Z","timestamp":1412728281000},"page":"1788-1796","update-policy":"http:\/\/dx.doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":5,"title":["Stationary noise responses in a nonlinear model of cochlear mechanics: Iterative solutions in the frequency domain"],"prefix":"10.1121","volume":"136","author":[{"given":"Yi-Wen","family":"Liu","sequence":"first","affiliation":[{"name":"National Tsing Hua University Department of Electrical Engineering, , Hsinchu 300, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"231","reference":[{"key":"2023073122523096400_c1","article-title":"A theory of nonlinear systems","volume-title":"Technical Report 309","year":"1956"},{"key":"2023073122523096400_c2","doi-asserted-by":"publisher","first-page":"14594","DOI":"10.1073\/pnas.95.25.14594","article-title":"Compression, gain, and nonlinear distortion in an active cochlear model with sub-partitions","volume":"95","year":"1998","journal-title":"Proc. Natl. Acad. Sci."},{"key":"2023073122523096400_c3","first-page":"377","article-title":"Connecting frequency selectivity and nonlinearity for models of the cochlea","volume":"3","year":"1997","journal-title":"Aud. Neurosci."},{"key":"2023073122523096400_c4","doi-asserted-by":"publisher","first-page":"1497","DOI":"10.1121\/1.428436","article-title":"The mechanical waveform of the basilar membrane. iii. intensity effects","volume":"107","year":"2000","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c5","doi-asserted-by":"publisher","first-page":"3199","DOI":"10.1121\/1.407225","article-title":"Self-suppression in a locally active nonlinear model of the cochlea: A quasi-linear approach","volume":"94","year":"1993","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c6","doi-asserted-by":"publisher","first-page":"2156","DOI":"10.1121\/1.410157","article-title":"Two-tone suppression in a locally active nonlinear model of the cochlea","volume":"96","year":"1994","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c7","doi-asserted-by":"publisher","first-page":"2543","DOI":"10.1121\/1.417363","article-title":"Comparing frequency-domain with time-domain solutions for a locally-active nonlinear model of the cochlea","volume":"100","year":"1996","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c8","doi-asserted-by":"publisher","first-page":"1517","DOI":"10.1121\/1.1914449","article-title":"A system of nonlinear differential equations modeling basilar-membrane motion","volume":"54","year":"1973","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c9","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/S0378-5955(02)00491-4","article-title":"A three-dimensional nonlinear active cochlear model analyzed by the WKB-numeric method","volume":"170","year":"2002","journal-title":"Hear. Res."},{"key":"2023073122523096400_c13","first-page":"050110","article-title":"Frequency-domain analysis of cochlear gain reduction due to disruptions in the outer hair cell feedback loop","volume-title":"Proceedings of Meetings on Acoustics","year":"2013"},{"key":"2023073122523096400_c10","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1121\/1.3158919","article-title":"Outer hair cell electromechanical properties in a nonlinear piezoelectric model","volume":"126","year":"2009","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c11","doi-asserted-by":"publisher","first-page":"2420","DOI":"10.1121\/1.3337233","article-title":"Distortion-product emissions from a cochlear model with nonlinear mechanoelectrical transduction in outer hair cells","volume":"127","year":"2010","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c12","first-page":"218","article-title":"Quasi-linear cochlear responses to noise can result from instantaneous nonlinearities","volume-title":"What Fire is in Mine Ears: Progress in Auditory Biomechanics","author":"Shera","year":"2012"},{"key":"2023073122523096400_c14","doi-asserted-by":"publisher","first-page":"1237","DOI":"10.1016\/j.bpj.2012.02.026","article-title":"Response to a pure tone in a nonlinear mechanical-electrical-acoustical model of the cochlea","volume":"102","year":"2012","journal-title":"Biophys. J."},{"key":"2023073122523096400_c15","doi-asserted-by":"publisher","first-page":"1398","DOI":"10.1016\/j.bpj.2014.01.034","article-title":"Effect of the attachment of the tectorial membrane on cochlear micromechanics and two-tone suppression","volume":"106","year":"2014","journal-title":"Biophys. J."},{"key":"2023073122523096400_c16","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1121\/1.408273","article-title":"A piezoelectric model of outer hair cell function","volume":"95","year":"1994","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c17","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1121\/1.407091","article-title":"A model of cochlear mechanics with outer hair cell motility","volume":"94","year":"1993","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c18","doi-asserted-by":"publisher","first-page":"2244","DOI":"10.1121\/1.415412","article-title":"Biophysics of the cochlea II: Stationary nonlinear phenomenology","volume":"99","year":"1996","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c19","doi-asserted-by":"publisher","first-page":"2773","DOI":"10.1121\/1.1564018","article-title":"Measurements of human middle ear forward and reverse acoustics: Implications for otoacoustic emissions","volume":"113","year":"2003","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c20","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1007\/s10162-009-0172-0","article-title":"Basilar membrane responses to noise at a basal site of the chinchilla cochlea: Quasi-linear filtering","volume":"10","year":"2009","journal-title":"J. Assoc. Res. Otolaryngol."},{"key":"2023073122523096400_c21","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/S0378-5955(00)00211-2","article-title":"Basilar membrane vibration in the basal turn of the sensitive gerbil cochlea","volume":"151","year":"2001","journal-title":"Hear. Res."},{"issue":"3","key":"2023073122523096400_c22","doi-asserted-by":"publisher","first-page":"588","DOI":"10.1121\/1.1914569","article-title":"Evidence from M\u00f6ssbauer experiments for nonlinear vibration in the cochlea","volume":"55","year":"1974","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c23","doi-asserted-by":"publisher","first-page":"1364","DOI":"10.1121\/1.394389","article-title":"Basilar membrane mechanics at the base of the chinchilla cochlea. I. Input-output functions, tuning curves and response phases","volume":"80","year":"1986","journal-title":"J. Acoust. Soc. Am."},{"issue":"4","key":"2023073122523096400_c24","doi-asserted-by":"publisher","first-page":"2151","DOI":"10.1121\/1.418265","article-title":"Basilar-membrane responses to tones at the base of the chinchilla cochlea","volume":"101","year":"1997","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c25","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1121\/1.1378349","article-title":"Intensity-invariance of fine time structure in basilar-membrane click responses: Implications for cochlear mechanics","volume":"110","year":"2001","journal-title":"J. Acoust. Soc. Am."},{"key":"2023073122523096400_c26","doi-asserted-by":"publisher","first-page":"11462","DOI":"10.1523\/JNEUROSCI.1882-06.2006","article-title":"Panoramic measurements of the apex of the cochlea","volume":"26","year":"2006","journal-title":"J. Neurosci."}],"container-title":["The Journal of the Acoustical Society of America"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/asa\/jasa\/article-pdf\/136\/4\/1788\/13265861\/1788_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/asa\/jasa\/article-pdf\/136\/4\/1788\/13265861\/1788_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T22:52:42Z","timestamp":1690843962000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jasa\/article\/136\/4\/1788\/906334\/Stationary-noise-responses-in-a-nonlinear-model-of"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,1]]},"references-count":26,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,10,1]]}},"URL":"https:\/\/doi.org\/10.1121\/1.4894736","relation":{},"ISSN":["0001-4966","1520-8524"],"issn-type":[{"value":"0001-4966","type":"print"},{"value":"1520-8524","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2014,10]]},"published":{"date-parts":[[2014,10,1]]}}}