Last edited by Duhn
Monday, May 4, 2020 | History

2 edition of Two dimensional fluid model of cochlear mechanics found in the catalog.

Two dimensional fluid model of cochlear mechanics

Joel Hoyt Sebold

# Two dimensional fluid model of cochlear mechanics

Published .
Written in English

Subjects:
• Cochlear nucleus.,
• Auditory pathways.,
• Hearing.

• Edition Notes

The Physical Object ID Numbers Statement by Joel Hoyt Sebold. Series [Master"s theses / University Center at Binghamton, State University of New York -- no. 1131], Master"s theses (State University of New York at Binghamton) -- no. 1131. Pagination iv, 46, [18] leaves : Number of Pages 46 Open Library OL22116717M

The cochlear canals contain two types of fluid: perilymph and endolymph. Perilymph has a similar ionic composition as extracellular fluid found elsewhere in the body and fills the scalae tympani and vestibuli. Endolymph, found inside the cochlear duct (scala media), has a unique composition not found elsewhere in the body. Indications for cochlear implantation continued to expand, and now even some patients with normal hearing in one ear may seek cochlear implantation in their hearing-impaired ear. The most common reason for implanting a device in such patients is intractable tinnitus, or ear ringing, that sometimes accompanies hearing loss. 7 7. English: The cochlea, shown uncoiled, is filled with liquid. In the accepted travelling wave picture (see this image), the partition vibrates up and down like a flicked rope, and a wave of displacement sweeps from base (high frequencies) to apex (low frequencies).Where the wave broadly peaks depends on frequency. An alternative resonance view (shown here) is that Author: Inductiveload. Other articles where Cochlear fluid is discussed: sound reception: The auditory mechanism in frogs: which makes contact with the fluids of the inner-ear (otic) capsule through an opening, the oval window. A second opening in the otic capsule, the round window, is covered by a thin, flexible membrane; it is bounded externally by a fluid-filled space that can expand into the air .

Background How does the cochlea analyse sound into its component frequencies? In the s Helmholtz thought it occurred by resonance, whereas a century later Békésy's work indicated a travelling wave. The latter answer seemed to settle the question, but with the discovery in that the cochlea emits sound, the mechanics of the cochlea was back on the drawing board.

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### Two dimensional fluid model of cochlear mechanics by Joel Hoyt Sebold Download PDF EPUB FB2

A basic difference between this and previous investigations is that here we treat an enclosed Two dimensional fluid model of cochlear mechanics book cavity as opposed to one-dimensional and open two-dimensional models studied earlier.

Also the two time-scale aspect of the problem, as a possible explanation for nonlinear effects in hearing, has not previously been by: Because of mathematical difficulty mostly simplified one- or two-dimensional models that sought to incorporate some aspects of cochlear mechanics have been proposed.

Early one-dimensional “transmission line” models of the cochlea [10], [33], [48] have assumed that the fluid pressure is constant over a cross-section of the cochlear by: A two-dimensional cochlear fluid model based on conformal mapping Hannes Luling€ a) Computational Neuroscience, Ludwig-Maximilians-Universitat M€ unchen, Planegg-Martinsried,€ Germany Jan-Moritz P.

Franosch and J. Leo van Hemmen Physik Department T35, Technische Universitat M€ unchen, Garching bei M€ €unchen, GermanyCited by: 4.

An active, three-dimensional, short-wavelength model of cochlear mechanics is derived from an older, one-dimensional, long-wavelength model containing time-delay forces.

Remarkably, the long-wavelength model with nonlocal temporal interactions behaves like a short-wavelength model with instantaneous interactions. The cochlear oscillators are driven both.

Abstract. In this work we present the two-dimensional motion of a viscoelastic membrane immersed in incompressible inviscid and viscous fluids.

The motion of the Two dimensional fluid model of cochlear mechanics book is modelled by two-dimensional Navier-Stokes equations, and a constitutive equation is considered for the membrane which captures along with the fluid equations the essential features of the Author: Y. Domínguez-del Ángel, M.

Núñez-López, J. González-Santos, A. López-Villa. Early one-dimensional “transmission line” model of the cochlea, has assumed that the fluid pressure is constant over a cross section of the cochlear channel.

The fluid is assumed to be incompressible and inviscid, and the basilar membrane is modelled as a damped, forced harmonic oscillator with no elastic coupling along its length. We study the propagation of waves on the basilar membrane using a two-dimensional linear model of the cochlea.

We apply the techniques developed in our previous paper [9] to a modified model in which fluid viscosity has been included as a damping mechanism in addition to membrane friction. Numerical and asymptotic results are obtained that agree with prior known Cited by: A two-dimensional mathematical model of cochlear mechanics is developed, based on classical assumptions.

The basilar membrane is represented by an acoustic admittance function with longitudinal coup­ ling only through the cochlear fluid.

The fluid is assumed to be inviscid and incompressible and all motion in the cochlea is assumed to be linear. In this paper the fluid motion that results from time-harmonic compression of the cochlear shell is Two dimensional fluid model of cochlear mechanics book.

The analytical approach and cochlear model presented embodies the salient features present in the compressional bone conduction process. The scala vestibuli and Two dimensional fluid model of cochlear mechanics book tympani will be modeled as two-dimensional fluid-filled by: 2. A box shape with constant area is often used to represent the complex geometry in the cochlea, although variation of the fluid chambers areas is known to be more complicated.

This variation is accounted for here by an “effective area,” given by the harmonic mean of upper and lower chamber area from previous by: 2. MATHEMATICAL MODEL OF THE COCHLEA. I two-dimensional aspects of the velocity field in the cochlear canals and clarified some of the unsolved details in [6].

A Place principle was shown by using an empirical damping function. Incidentally, that function does not agree with von Bekesy's observations (c). A current, linear, two-dimensional mathematical model of the mechanics of the cochlea is solved numerically by using a finite difference approximation of the model equations.

PDF | The recent observations of sharply-tuned basilar membrane motion and the existence of cochlear acoustic emissions provide evidence that the. Using conformal mapping, fluid motion inside the cochlear duct is derived from fluid motion in an infinite half plane.

The cochlear Two dimensional fluid model of cochlear mechanics book is represented by a two-dimensional half-open box. Motion of the cochlear fluid creates a force acting on the Two dimensional fluid model of cochlear mechanics book partition, modeled by damped by: 4.

Taber LA, Steele CR () Cochlear model including three-dimensional fluid and four modes of partition flexibility. J Acoust Soc Am – PubMed Google ScholarCited by: Steele and Lim proposed a three-dimensional model of the guinea pig cochlea incorporating the viscous fluid effect, inner sulcus mechanics, feedforward, and also material variation along the cochlear length.

This model consists of two degrees of freedom, one for the flexing of the pectinate zone and one for the rocking of the by: J. Allen' Two-dimensional cochlear fluid model Since each image has a strength, other than sign, given by (B3), the full Green's function at y- 0 is then.

Two-Dimensional Motion of a Viscoelastic Membrane in an Incompressible Fluid: Applications to the Cochlear Mechanics. Recent Advances in Fluid Dynamics with Environmental Applications, William Ko and John M. by: cochlea model. In section 5 we present results of several numerical simulations.

Our cochlea model is a work in progress and we conclude with an outline of future directions for this project. 2TheCochlea Cochlear Mechanics The cochlea is a small snail-shell-like cavity in the temporal bone, which has two openings, the oval window and the File Size: KB.

Nature of the fluid coupling. Nobili et al. (a) launch their critique of wave-equation formulations of cochlear mechanics by arguing that transmission-line models fundamentally misrepresent the hydrodynamics of the cochlea.

In particular, they claim that transmission-line models “reduce fluid coupling to a sort of local interaction, thus failing to Cited by: 2 Two-Dimensional Architecture A two-dimensional mechanical cochlear model is con-structed as a cascade of N identical stages.

Each stage represents a small length dx of the basilar membrane and a corresponding section of ﬂuid mass. This architecture is shownin Fig. The electric analogof ﬂuid pressureis volt-age. The input voltage v (t). Cochlear Mechanics (Orl) [F.

Böhnke] on *FREE* shipping on qualifying offers. Special Topic Issue: ORLVol. 61, No. 5 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.

The flow around two stationary cylinders in tandem arrangement at the laminar and early turbulent regime, ($\hbox{\it Re}\,{=}\,10^2$ – $10^3$), is studied using two- and three-dimensional direct numerical simulations.A range of spacings between the cylinders from to diameters is considered with emphasis on identifying the effects of three-dimensionality.

Here we study a simplified model where radial derivatives are neglected, which is a helicoidal version of what de Boer refers to as a “two dimensional classical model” of cochlear mechanics [2]. The eikonal equation, which determines the local wavenumber, and the transport equation, which determines the amplitude of the wave, can be.

Basis Function Approaches for Two Dimensional Cochlear Models Lihua LiComputer Science, City University of Hong Kong, B.S., Computer Science, Wuhan University, A Thesis Submitted to the Graduate School a the University of Missouri – St. Louis in Partial Fulﬁllment of the Requirements for the DegreeAuthor: Lihua Li.

A current, linear, two-dimensional mathematical model of the mechanics of the cochlea is solved numerically by using a finite difference approximation of the model : Lloyd Watts. Meaud J, Grosh K. The effect of tectorial membrane and basilar membrane longitudinal coupling in cochlear mechanics.

J Acoust Soc Am. ; – *This paper is the first to show the effects of TM longitudinal coupling in a full cochlear wave propagation modelCited by: Mathematical models of cochlear mechanics are often used to test theories about cochlear function.

One-dimen- sional (transmission line) models helped establish the travel- Geometry of the three-dimensional model of the cochlea. The The cochlear fluid influences the motion of the basilar membrane in two ways.

First, the fluid provides. 2. Model formulation. To model the curvature effects in the cochlea, we adopt a curvilinear coordinate system (θ 1, θ 2, θ 3)=(R, S, Z), in which R represents the radial distance from the modiolar (the Z-) axis, S is the arc length along the coiled cochlear duct and Z, the modiolar positive direction of Z points out of the R–S plane in figure 1 a.

a complete three-dimensional computational model of the macro-mechanics of the cochlea which incorporates the intricate curved cochlear anatomy.

The results of this work will be reported in future publications. The cochlea is the part of the inner ear where sound waves are transformed into electrical pulses which are carried by neurons to the.

Fluid dynamics of the passive cochlea Sound propagation in a liquid medium Surface waves on the basilar membrane One-dimensional model Wentzel-Kramers-Brillouin approximation and energy flow Resonance and critical-layer absorption 3.

Historical overview of the active process Theoretical proposal Cited by: This chapter describes the mechanical function of the cochlea, or inner ear, the organ that converts signals from acoustical to neural.

Many cochlear hearing disorders are still not well understood. If systematic progress is to be made in improved diagnostics and treatment of these disorders, a clear understanding of basic principles is essential.

@article{osti_, title = {Comparison of one- and two-dimensional sodium-boiling models. [LMFBR]}, author = {Carbajo, J J}, abstractNote = {Prediction of sodium boiling and dryout in the fuel subassemblies of a Liquid Metal Fast Breeder Reactor (LMFBR) under certain accident aconditions is of paramount importance in LMFBR safety.

In the present paper, boiling and. Due to the inaccessibility of the inner ear, direct in vivo information on cochlear mechanics is difficult to obtain.

Mathematical modelling is a promising way to provide insight into the physiology and pathology of the cochlea. Finite element method (FEM) is one of the most popular discrete mathematical modelling techniques, mainly used in engineering that has been increasingly Cited by: 6.

In the classic view of cochlear mechanics, the cochlea is comprised of two identical fluid chambers separated by the cochlear partition (CP). In this view the traveling wave pressures in the two chambers mirror each other; they are equal in magnitude and opposite in phase.

A fast pressure mode adds approximately uniformly. More recent models of cochlear mechanics. A hybrid technique named here the Very Large Finite Element Method (VLFEM) is developed to analyze a two-dimensional model of the cochlea of the inner ear.

In this method, the domain is divided into elements of constant material properties and the exact solution to the model equations obtained in each by: 5. An analog ear or analog cochlea is a model of the ear or of the cochlea (in the inner ear) based on an electrical, electronic or mechanical analog ear is commonly described as an interconnection of electrical elements such as resistors, capacitors, and inductors; sometimes transformers and active amplifiers are included.

A main problem with the numerical simulation of mechanical wave propagation in the cochlea is the coupling of the orthotropic elastic solid (cochlear partition and further structures) and the fluid (perilymph).

We developed a unified approach employing velocity and pressure in the entire domain. The numerical approach consists in a finite‐volume solver for the coupled solution of.

The model not only vividly depicts the spatial helical body and biological materials of the cochlea but also reflects the fluid–solid coupling nonlinear motion of cochlear structures in the electrical environment.

Thus, the active hearing mechanism of cochlea is revealed. The complicated, three dimensional geometry of the fluid chambers in the cochlea is often represented in models of its mechanics by a box with a uniform area along its length. In this paper we use previous measurements of the variation in area of the two fluid chambers along the length of the cochlea in various mammals, to calculate the variation in the “effective area” Author: Luyang Sun, Guangjian Ni, Stephen Elliott.

In pdf paper, we pdf a physiologically-based time-domain model of the mammalian ear that couples a nonlinear model of the cochlea with a lumped parameter model of the middle ear.

The cochlear model is an extension of a previous nonlinear frequency-domain model [9]. This model is based on the finite element method and includes mechanical degrees Author: Julien Meaud, Charlsie Lemons.Two variations of a basic model for a cochlea are described which download pdf of a basilar membrane coupled with a linear potential fluid.

The basilar membrane is modeled as an array of oscillators which may or may not include longitudinal elasticity. The fluid is assumed to be a linear potential fluid described by Laplace's equation in a domain that surrounds the basilar : Scott W.

Hansen.Description ebook the cochlear model and its mechanics We describe a two dimensional model and derive its dynamics. If ebook cochlear is unrolled, it takes the form shown in ﬂgure (). For simpliﬂcation purposes we consider the cross section corresponding to () to be like ﬂgure ().

W G0 W G0 W G0 W G1 W G0 2 + - ; ‰), 1 2.