Identification of Bifurcations from Observations of Noisy Biological Oscillators
arXiv:1608.06590 · doi:10.1016/j.bpj.2016.07.027
Abstract
Hair bundles are biological oscillators that actively transduce mechanical stimuli into electrical signals in the auditory, vestibular, and lateral-line systems of vertebrates. A bundle's function can be explained in part by its operation near a particular type of bifurcation, a qualitative change in behavior. By operating near different varieties of bifurcation, the bundle responds best to disparate classes of stimuli. We show how to determine the identity of and proximity to distinct bifurcations despite the presence of substantial environmental noise.
arXiv comment6 figures, 1 supporting material
References in corpus (4)
- Essential nonlinearities in hearing
- Auditory Sensitivity Provided by Self-tuned Critical Oscillations of Hair Cells
- Control of a hair bundle's mechanosensory function by its mechanical load
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Cited by in corpus (4)
- Nonequilibrium limit cycle oscillators: fluctuations in hair bundle dynamics
- Sinusoidal-signal detection by active, noisy oscillators on the brink of self-oscillation
- Active energy harvesting and work transduction by hair-cell bundles in bullfrog's inner ear
- Estimating Free Parameters in Stochastic Oscillatory Models Using a Weighted Cost Function