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עבוד אותות במערכת החושים סמסטר א' תש"ע http://www.eng.tau.ac.il/~mira/Senses2009 Virtual Lecture 4 http://www.eng.tau.ac.il/~mira/Senses2009
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Cochlear model’s geometry
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The Cochlear Model Equations: I. Linear Approximation II. OHC are not Active
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Frequency Domain Solution
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Resonance Frequency Resonance Frequency= Characteristic Frequency Resonance Frequency is obtained at the frequency that yields:
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OHC Anatomy
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OHC’s model
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OHC model’s equation
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Known Facts & Assumptions The outer hair cell motility is proportional to the basolateral membrane voltage drop. The membrane electric analog is a low-pass filter with a cutoff frequency less than 1 kHz. The capacitance changes with the partition motion. The current flow through the basolateral membrane is a function of the partition displacement and velocity.
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Assumptions
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OHC Properties: Linear Approximation
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OHC Force γ(x) - is the relative population of OHCs per unit length
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OHC Pressure Equation - Substituting the linear approximations in the OHC electrical potential equation yields:
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The Embedded Cochlear Model
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Parameters Estimation For and
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Frequency Domain Equations
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WKB Approximation A 1 and A 2 are determined by the boundary condition
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Model’s Simulation
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Cochlear representations of Chirp Cochlear representation
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Cochlear representations of “SHEN” Cochlear representation
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Impaired Hearing
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Audiograms Sensorineural Hearing Loss CONDUCTIVE HEARING LOSS
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Simulated Audiograms Estimated Loudness: - For Input Signal: Estimated Hearing Level is defined as:
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