ArticleBiophysical journal2016
Identification of Bifurcations from Observations of Noisy Biological Oscillators.
Article in Biophysical journal, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed, 38 citations in OpenAlex.
- Generative epigenetic landscapes map the topology and topography of cell fates.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Tissue-wide, synchronous Erk oscillations time the segmentation of the zebrafish notochord.bioRxiv : the preprint server for biology · 2025Article
- Amplification through local critical behavior in the mammalian cochlea.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- From genes to patterns: five key dynamical systems concepts to decode developmental regulatory mechanisms.Development (Cambridge, England) · 2025Review
- The Critical Thing about the Ear's Sensory Hair Cells.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2024Review
- Article
- Unloading outer hair cell bundles in vivo does not yield evidence of spontaneous oscillations in the mouse cochlea.Hearing research · 2022Article
- Complex dynamics of hair bundle of auditory nervous system (I): spontaneous oscillations and two cases of steady states.Cognitive neurodynamics · 2022Article
- Behavior as Physiology: How Dynamical-Systems Theory Could Advance Psychiatry.The American journal of psychiatry · 2021Article
- Dynamics of Mechanically Coupled Hair-Cell Bundles of the Inner Ear.Biophysical journal · 2021Article
- Deletion ofFrontiers in cellular neuroscience · 2021Article
- Theoretical study of the impact of adaptation on cell-fate heterogeneity and fractional killing.Scientific reports · 2020Article
- Article
- Developmental function and state transitions of a gene expression oscillator in Caenorhabditis elegans.Molecular systems biology · 2020Article
- Effects of Efferent Activity on Hair Bundle Mechanics.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2020Article
- Bilateral Spontaneous Otoacoustic Emissions Show Coupling between Active Oscillators in the Two Ears.Biophysical journal · 2019Article
- A Bundle of Mechanisms: Inner-Ear Hair-Cell Mechanotransduction.Trends in neurosciences · 2019Review
- Homeostatic enhancement of sensory transduction.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Article
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3 authors at 1 institution in 1 country.
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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. Using an improved mechanical-load clamp to coerce a hair bundle to traverse different bifurcations, we find that a bundle operates within at least two functional regimes. When coupled to a high-stiffness load, a bundle functions near a supercritical Hopf bifurcation, in which case it responds best to sinusoidal stimuli such as those detected by an auditory organ. When the load stiffness is low, a bundle instead resides close to a subcritical Hopf bifurcation and achieves a graded frequency response-a continuous change in the rate, but not the amplitude, of spiking in response to changes in the offset force-a behavior that is useful in a vestibular organ. The mechanical load in vivo might therefore control a hair bundle's responsiveness for effective operation in a particular receptor organ. Our results provide direct experimental evidence for the existence of distinct bifurcations associated with a noisy biological oscillator, and demonstrate a general strategy for bifurcation analysis based on observations of any noisy system.
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