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Frequency locking in auditory hair cells: Distinguishing between additive and parametric forcing
Yuval Edri1,2, Dolores Bozovic3, Arik Yochelis4
1Department of Physics, Ben-Gurion University of the Negev - Beer-Sheva, Israel.
This study models auditory system resonance near a Hopf bifurcation. Parametric forcing reveals unique frequency locking behaviors, impacting hair cell response dynamics and offering insights into sound amplification.
Area of Science:
- Auditory Neuroscience
- Nonlinear Dynamics
- Biophysics
Background:
- The auditory system's sensitivity and frequency discrimination depend on mechanical and biochemical amplification processes.
- Oscillatory models near a Hopf bifurcation explain sound amplification by exhibiting resonant responses to specific frequencies.
Purpose of the Study:
- To investigate frequency locking dynamics in a system near the Hopf bifurcation under additive and parametric forcing.
- To analyze the impact of different forcing types on auditory hair cell response and resonance.
Main Methods:
- Derivation of a universal amplitude equation incorporating both additive and parametric forcing terms.
- Examination of frequency locking phenomena, including 1:1 and 2:1 resonance characteristics.
Main Results:
- Parametric forcing leads to 1:1 frequency-locked solutions that coexist with solutions exhibiting a π phase shift, characteristic of 2:1 resonance.
- The transition from unlocked to locked states differs between additive and parametric forcing, resulting in smooth or abrupt dynamics.
- A theoretical framework is established for modeling auditory resonance with direct modulation of control parameters.
Conclusions:
- The study provides a more realistic model of the auditory system by incorporating direct parameter modulation.
- Findings on resonance and frequency locking dynamics are generalizable to other systems like Faraday waves and cardiomyocytes.
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