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Time domain computation of a nonlinear nonlocal cochlear model with applications to multitone interaction in hearing

Jack Xin Yingyong Qi Li Deng

Data Analysis mathscidoc:1912.43860

Communications in Mathematical Sciences, 1, (2), 211-227, 2003
A nonlinear, nonlocal cochlear model of the transmission line type is studied in order to capture the multitone interactions and resulting tonal suppression effects. The model can serve as a module for voice signal processing, and is a one-dimensional (in space) damped dispersive nonlinear PDE based on the mechanics and phenomenology of hearing. It describes the motion of the basilar membrane (BM0 in the cochlea driven by input pressure waves. Both elastic dampling and selective longitudinal fluid damping are present. The forner is nonlinear and nonlocal in BM displacement, and plays a kep role in capturing tonal interactions. The latter is active only near the exit boundary (helicotrema), and is built in to damp out the remaining long waves. The initial boundary value problem is numerically solved with a semi-implicit second order finite difference method. Solutions reach a multi-frequency quai-steady state
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@inproceedings{jack2003time,
  title={Time domain computation of a nonlinear nonlocal cochlear model with applications to multitone interaction in hearing},
  author={Jack Xin, Yingyong Qi, and Li Deng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210246232654424},
  booktitle={Communications in Mathematical Sciences},
  volume={1},
  number={2},
  pages={211-227},
  year={2003},
}
Jack Xin, Yingyong Qi, and Li Deng. Time domain computation of a nonlinear nonlocal cochlear model with applications to multitone interaction in hearing. 2003. Vol. 1. In Communications in Mathematical Sciences. pp.211-227. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210246232654424.
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