Simultaneous spike-time locking to multiple frequencies

Sinz, Fabian H.; Sachgau, Carolin; Henninger, Joerg; Benda, Jan; Grewe, Jan

doi:10.1152/jn.00615.2019

Cited by 9 publications

(25 citation statements)

References 96 publications

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“…S2). This analogy suggests that the carrier, the receiver’s EOD, samples the stimulus with its peaks, as has been suggested previously (Sinz et al, 2020). Thus, f EOD defines the scale in which f stim has to be interpreted.…”

Section: Resultssupporting

confidence: 59%

“…We constructed leaky integrate-and-fire (LIF) models to reproduce the specific firing properties of P-units (Chacron et al, 2001; Sinz et al, 2020): where τ m is the membrane time constant, μ a bias current, and D is the strength of Gaussian white noise ξ . Whenever the unitless membrane voltage V m crosses the threshold of θ = 1, a spike is generated and the voltage is reset to V m = 0.…”

Section: Electrophysiologymentioning

confidence: 99%

“…The corresponding band-pass filter is probably caused by electric resonance in the electroreceptor cells (Viancour, 1979). This could be modeled by a damped harmonic oscillator filtering the input signal before it is thresholded at the receptor synapse (Sinz et al, 2020).

Figure S5: Model responses to SAM stimuli do not require an exponentiated threshold.…”

Section: Electrophysiologymentioning

confidence: 99%

“…Slow beats repetitively reoccur at octaves of the carrier EOD and P-unit firing rates follow this pattern known from early psychophysical experiments (Ohm, 1839; Helmholtz, 2009). By mathematical reasoning and by modelling the signal transduction pathway (Chacron et al, 2001; Savard et al,2011; Sinz et al, 2020) we then explain how single sensory cells extract beat frequencies at multiple octaves. Finally, we test our model predictions in behavioral experiments based on the jamming avoidance response (Watanabe and Takeda, 1963).…”

Section: Introductionmentioning

confidence: 99%

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Beat encoding at mistuned octaves within single sensory neurons

Rudnaya¹,

Schaefer²,

Grewe³

et al. 2022

Preprint

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Beats are periodic amplitude modulations resulting from the superposition of two periodic signals of different frequencies. Psychophysical experiments by Georg Simon Ohm, Hermann Helmholtz, and others from the 19th century demonstrate that beats are not only perceived for two close-by frequencies but also at mistuned octaves. However, the physiological mechanisms of this percept are still debated. Motivated by a field study, in which we observed the behavioral relevance of beats at high difference frequencies, we here study the beat encoding over a wide range of difference frequencies in the electric fish Apteronotus leptorhynchus. The activity of P-unit electroreceptor afferents, that share many properties with mammalian auditory fibers, follows a repetitive pattern with slow modulations of their firing rate reoccurring around multiples of the frequency of the carrier signal. By mathematical reasoning and supported by simulations of modified integrate-and-fire models we conclude that neither Hilbert transform, squaring, harmonics of the carrier, nor a threshold operation are sufficient to extract slow beats around the octave. Raising the thresholded signal to a power of three, however, is sufficient to explain the repetitive P-unit responses. Since the threshold-nonlinearity of the afferent's spike generator could be ruled out, it is most likely the transfer function of the electroreceptor synapse that implements such a non-linearity. In the auditory system the hair-cell synapse is known to act as a smooth threshold operation. We thus conclude that this mechanism within each auditory fiber contributes to the perception of beats at mistuned octaves.

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Section: Resultssupporting

confidence: 59%

Section: Electrophysiologymentioning

confidence: 99%

Figure S5: Model responses to SAM stimuli do not require an exponentiated threshold.…”

Section: Electrophysiologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Beat encoding at mistuned octaves within single sensory neurons

Rudnaya¹,

Schaefer²,

Grewe³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Phase locking for multiple frequencies has been studied in [92]. These pattern recognition capabilities can be explained by human evolution [66].…”

Section: Phase Lockingmentioning

confidence: 99%

Geometry of Music Perception

Himpel¹

2022

Preprint

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Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent differential-geometric model for music perception in order to rationalize, explain and predict psycho-acoustic phenomena. The space of all chords is shown to be a stratifold, whose Riemannian metric naturally yields a geodesic distance function compatible with voiceleading satisfying the triangle inequality even between chords with a different number of chord tones. The stratifold model allows for rigorous studies of psychoacoustic quantities like roughness and harmonicity as height functions. Lastly, concepts for the perceptive strength of chord resolutions are introduced and analyzed based on the differential-geometric framework.

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The Physics of Electrosensory Worlds

Benda

2020

The Senses: A Comprehensive Reference

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Simultaneous spike-time locking to multiple frequencies

Cited by 9 publications

References 96 publications

Beat encoding at mistuned octaves within single sensory neurons

Beat encoding at mistuned octaves within single sensory neurons

Geometry of Music Perception

The Physics of Electrosensory Worlds

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