105 citations · 420 across the 12 of their papers we have counts for
12 papers
Volterra-series approach to stochastic nonlinear dynamics: linear response of the Van der Pol oscillator driven by white noise
Roman Belousov, Florian Berger, A. J. Hudspeth
The Van der Pol equation is a paradigmatic model of relaxation oscillations. This remarkable nonlinear phenomenon of self-sustained oscillatory motion underlies important rhythmic…
A Volterra-series approach to stochastic nonlinear dynamics: The Duffing oscillator driven by white noise
Roman Belousov, Florian Berger, A. J. Hudspeth
The Duffing oscillator is a paradigm of bistable oscillatory motion in physics, engineering, and biology. Time series of such oscillations are often observed experimentally in a no…
Sinusoidal-signal detection by active, noisy oscillators on the brink of self-oscillation
Dáibhid Ó Maoiléidigh, AJ Hudspeth
Determining the conditions under which an active system best detects sinusoidal signals is important for numerous fields. It is known that a quiescent, deterministic system possess…
Fluctuation theory in space and time: white noise in reaction-diffusion models of morphogenesis
Roman Belousov, Adrian Jacobo, A. J. Hudspeth
The precision of reaction-diffusion models for mesoscopic physical systems is limited by fluctuations. To account for this uncertainty, Van Kampen derived a stochastic Langevin-lik…
Control of a hair bundle's mechanosensory function by its mechanical load
Joshua D. Salvi, Daibhid O Maoileidigh, Brian A. Fabella +2
Hair cells, the sensory receptors of the internal ear, subserve different functions in various receptor organs: they detect oscillatory stimuli in the auditory system, but transduc…
Waves on Reissner's membrane: a mechanism for the propagation of otoacoustic emissions from the cochlea
Tobias Reichenbach, Aleksandra Stefanovic, Fumiaki Nin +1
Sound is detected and converted into electrical signals within the ear. The cochlea not only acts as a passive detector of sound, however, but can also produce tones itself. These…