Mathematical Modeling of the Hearing Process

Mathematical Modeling of the Hearing Process

Author: M.H. Holmes

Publisher: Springer Science & Business Media

Published: 2013-03-13

Total Pages: 113

ISBN-13: 3642464459

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The articles of these proceedings arise from a NSF-CBMS regional conference on the mathematical modeling of the hearing process, that was held at Rensselaer Polytechnic Institute in the summer of 1980. To put the a=ticles in perspective, it is best to briefly review the history of suc~ modeling. It has proceeded, more or less, in three stages. The first was initiated by Herman Helmholtz in the 1880's, whose theories dominated the subject for years. However, because of his lack of accurate experimental data and his heuristic arguments it became apparent that his models needed revision. Accordingly, based on the experimental observations of von Bekesy, the "long wave" theories were developed in the 1950's by investigators such as Zwislocki, Peterson, and Bogert. However, as the ex?eri~ents became more refined (such as Rhode's ~wssbauer Measurements) even these models came into question. This has brought on a flurry of 'activity in recent years into how to extend the models to account for these more recent eXT. lerimental observations. One approach is through a device co~monly refered to as a second filter (see Allen's article) and another is through a more elaborate hydroelastic model (see Chadwick's article). In conjunction with this latter approach, there has been some recent work on developing a low frequency model of the cochlea (see Holmes' article).


Mathematical Modeling and Signal Processing in Speech and Hearing Sciences

Mathematical Modeling and Signal Processing in Speech and Hearing Sciences

Author: Jack Xin

Publisher: Springer Science & Business Media

Published: 2014-04-14

Total Pages: 216

ISBN-13: 3319030868

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The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter.


The Mechanics and Biophysics of Hearing

The Mechanics and Biophysics of Hearing

Author: Peter Dallos

Publisher: Springer

Published: 2014-03-11

Total Pages: 426

ISBN-13: 1475743416

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Proceedings of a workshop on the physics and biophysics of hearing that brought together experimenters and modelers working on all aspects of audition. Topics covered include: cochlear mechanical measurements, cochlear models, mechanicals and biophysics of hair cells, efferent control, and ultrastructure.


Cochlear Mechanics

Cochlear Mechanics

Author: Frank Böhnke

Publisher: S. Karger AG (Switzerland)

Published: 1999

Total Pages: 0

ISBN-13: 9783805569880

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This special issue collects our current knowledge of the mechanical processing of acoustic signals by the cochlea and its containing structures. Many workers in diverse disciplines in otology use the facts from cochlear mechanics for the interpretation of their results. Presented here for the first time is the development of a three-dimensional mechanical model of the curved cochlea including fluid-structure couplings. An important approach for future cochlear modeling is shown by the provision of geometrical data for the input of three-dimensional finite element models by microtomographic imaging. A remarkable article tries to demonstrate a connection between outer hair cell mechanics and the complex phenomenon of tinnitus and will be of special interest for stress engineers. Owing to its strong interdisciplinarity, this issue is not only intended for biophysicists, ENT clinicians and audiologists but also for radiologists, biomechanical engineers and computer engineers.


Tutorials in Mathematical Biosciences I

Tutorials in Mathematical Biosciences I

Author: Alla Borisyuk

Publisher: Springer Science & Business Media

Published: 2005-02-18

Total Pages: 184

ISBN-13: 9783540238584

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This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.


The Auditory System and Human Sound-Localization Behavior

The Auditory System and Human Sound-Localization Behavior

Author: John van Opstal

Publisher: Academic Press

Published: 2016-03-29

Total Pages: 438

ISBN-13: 0128017252

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The Auditory System and Human Sound-Localization Behavior provides a comprehensive account of the full action-perception cycle underlying spatial hearing. It highlights the interesting properties of the auditory system, such as its organization in azimuth and elevation coordinates. Readers will appreciate that sound localization is inherently a neuro-computational process (it needs to process on implicit and independent acoustic cues). The localization problem of which sound location gave rise to a particular sensory acoustic input cannot be uniquely solved, and therefore requires some clever strategies to cope with everyday situations. The reader is guided through the full interdisciplinary repertoire of the natural sciences: not only neurobiology, but also physics and mathematics, and current theories on sensorimotor integration (e.g. Bayesian approaches to deal with uncertain information) and neural encoding. - Quantitative, model-driven approaches to the full action-perception cycle of sound-localization behavior and eye-head gaze control - Comprehensive introduction to acoustics, systems analysis, computational models, and neurophysiology of the auditory system - Full account of gaze-control paradigms that probe the acoustic action-perception cycle, including multisensory integration, auditory plasticity, and hearing impaired


Mathematical Physiology

Mathematical Physiology

Author: James Keener

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 784

ISBN-13: 0387227067

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Divided into two parts, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing.


Modelling Auditory Processing and Organisation

Modelling Auditory Processing and Organisation

Author: Martin Cooke

Publisher: Cambridge University Press

Published: 2005-02-17

Total Pages: 142

ISBN-13: 9780521619387

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We are surrounded by noise; to separate the signals we want to hear from those we do not we have developed various strategies. Giving computers similar abilities would help develop devices such as intelligent hearing aids. This book reviews new and recent work on the modelling of auditory processes.


Springer Handbook of Speech Processing

Springer Handbook of Speech Processing

Author: Jacob Benesty

Publisher: Springer Science & Business Media

Published: 2007-11-28

Total Pages: 1170

ISBN-13: 3540491252

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This handbook plays a fundamental role in sustainable progress in speech research and development. With an accessible format and with accompanying DVD-Rom, it targets three categories of readers: graduate students, professors and active researchers in academia, and engineers in industry who need to understand or implement some specific algorithms for their speech-related products. It is a superb source of application-oriented, authoritative and comprehensive information about these technologies, this work combines the established knowledge derived from research in such fast evolving disciplines as Signal Processing and Communications, Acoustics, Computer Science and Linguistics.


Trees and Hierarchical Structures

Trees and Hierarchical Structures

Author: Andreas Dress

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 144

ISBN-13: 3662106191

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The "raison d'etre" of hierarchical dustering theory stems from one basic phe nomenon: This is the notorious non-transitivity of similarity relations. In spite of the fact that very often two objects may be quite similar to a third without being that similar to each other, one still wants to dassify objects according to their similarity. This should be achieved by grouping them into a hierarchy of non-overlapping dusters such that any two objects in ~ne duster appear to be more related to each other than they are to objects outside this duster. In everyday life, as well as in essentially every field of scientific investigation, there is an urge to reduce complexity by recognizing and establishing reasonable das sification schemes. Unfortunately, this is counterbalanced by the experience of seemingly unavoidable deadlocks caused by the existence of sequences of objects, each comparatively similar to the next, but the last rather different from the first.