Dynamical Instability Determines the Effect of Ongoing Noise on Neural Firing

O’Gorman, David E.; White, John A.; Shera, Christopher A.

doi:10.1007/s10162-008-0148-5

Cited by 13 publications

(20 citation statements)

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“…Our results are also relevant to studies of auditory nerve fiber responses to electric stimulation [40][41][42][43]. At low stimulation rates auditory nerve fibers fire regularly and are locked in to applied stimulus.…”

Section: Discussionmentioning

confidence: 60%

Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

Borkowski

2011

Phys. Rev. E

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We describe general characteristics of the Hodgkin-Huxley neuron's response to a periodic train of short current pulses with Gaussian noise. The deterministic neuron is bistable for antiresonant frequencies. When the stimuli arrive at the resonant frequency the firing rate is a continuous function of the current amplitude I0 and scales as (I0 − I th ) 1/2 , characteristic of a saddle-node bifurcation at the threshold I th . Intervals of continuous irregular response alternate with integer mode-locked regions with bistable excitation edge. There is an even-all multimodal transition between the 2:1 and 3:1 states in the vicinity of the main resonance, which is analogous to the odd-all transition discovered earlier in the high-frequency regime. For I0 < I th and small noise the firing rate has a maximum at the resonant frequency. For larger noise and subthreshold stimulation the maximum firing rate initially shifts toward lower frequencies, then returns to higher frequencies in the limit of large noise. The stochastic coherence antiresonance, defined as a simultaneous occurrence of (i) the maximum of the coefficient of variation, and (ii) the minimum of the firing rate vs. the noise intensity, occurs over a wide range of parameter values, including monostable regions. Results of this work can be verified experimentally.

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Section: Discussionmentioning

confidence: 60%

Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

Borkowski

2011

Phys. Rev. E

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“…O'Gorman et al proposed that ring irregularity of ANF at high stimulation rates is due to a dynamic instability [31,32]. It is characterized by positive values of the Lyapunov exponent and explains both the sensitivity to small changes of the stimulus and the lack of synchronization of response of dierent ANFs to external drive [31].…”

Section: Discussionmentioning

confidence: 99%

“…It is characterized by positive values of the Lyapunov exponent and explains both the sensitivity to small changes of the stimulus and the lack of synchronization of response of dierent ANFs to external drive [31]. Although O'Gorman et al analyzed the instability from a dierent viewpoint, its dynamical mechanism in the FHN model is the same as in the HH model.…”

Section: Discussionmentioning

confidence: 99%

“…Although O'Gorman et al analyzed the instability from a dierent viewpoint, its dynamical mechanism in the FHN model is the same as in the HH model. The MMT [25,26] and a dynamic instability [31,32] associated with it are key properties of many resonant neurons. MMT implies threshold bistability at nonresonant stimulation frequencies above the natural frequency of the neuron [28].…”

Section: Discussionmentioning

confidence: 99%

“…It must be kept in mind however that neurons themselves are strongly nonlinear systems and are capable of irregular ring even in the absence of noise [25,26]. O'Gorman et al showed recently [31,32] that a dynamic instability is a plausible explanation of ring irregularities in stimulated ANF. Using the FitzHugh Nagumo (FHN) model [33], they obtained a positive Lyapunov exponent which is consistent with experiments, where mutual desynchronization between similarly stimulated bers was observed.…”

Section: Introductionmentioning

confidence: 99%

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Response of the Hodgkin-Huxley Neuron to a Periodic Sequence of Biphasic Pulses

Borkowski

2014

Acta Phys. Pol. A

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Electric stimulation of various parts of the nervous system is a widely used therapeutic method and a principle of operation of prosthetic devices. Its usefulness has been proven in areas such as treatment of neurological disorders and cochlear prostheses. However the dynamic mechanisms underlying these applications are not well understood. In order to shed some light on this problem we study the response of the HodgkinHuxley neuron subject to periodic train of biphasic rectangular current pulses. One of the simpler ways to understand the behavior of such a nonlinear system is the analysis of the global bifurcation diagram in the periodamplitude plane. For short pulses the topology of this diagram is approximately invariant with respect to the pulse polarity and shape details. The lowest excitation threshold for charge-balanced input was obtained for cathodic-rst pulses with an inter-phase gap approximately equal to 5 ms. The ring rate of the HodgkinHuxley neuron stimulated at the frequency of its natural resonance is a square root function of the pulse amplitude. At nonresonant frequencies the quiescent state and the ring state coexist and transition to ring is a discontinuous one. We found a multimodal transition in the regime of irregular ring between the 2:1 and 3:1 locked-in states. This transition separates the regime of odd-only multiples of the stimulus period from the regime where modes of both parities participate in the response. A strong antiresonant eect was found between the states 3:1 and 4:1, where the modes (2 + 3n) : 1, where n = 0, 1, 2, . . ., were entirely absent. The antiresonant eects at high stimulation frequency, such as multimodal transition, may provide an explanation for the therapeutic mechanism of deep brain stimulation.

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The transtympanic promontory stimulation test in patients with auditory deprivation: correlations with electrical dynamics of cochlear implant and speech perception

Alfelasi

Piron

Mathiolon

et al. 2012

Eur Arch Otorhinolaryngol

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Transtympanic promontory stimulation test (TPST) has been suggested to be a useful tool in predicting postoperative outcomes in patients at risk of poor auditory neuron functioning, especially after a long auditory deprivation. However, only sparse data are available on this topic. This study aimed at showing correlations between the auditory nerve dynamic range, evaluated by TPST, the electrical dynamic range of the cochlear implant and speech perception outcome. We evaluated 65 patients with postlingual hearing loss and no residual hearing, implanted with a Nucleus CI24 cochlear implant device for at least 2 years and with a minimum of 17 active electrodes. Using the TPST, we measured the threshold for auditory perception (T-level) and the maximum acceptable level of stimulation (M-level) at stimulation frequencies of 50, 100 and 200 Hz. General linear regression was performed to correlate 1/speech perception, evaluated using the PBK test 1 year after surgery, and 2/cochlear implant electrical dynamic range, with the age at time of implantation, the duration of auditory deprivation, the etiology of the deafness, the duration of cochlear implant use and auditory nerve dynamic range. Postoperative speech perception outcome correlated with etiology, duration of auditory deprivation and implant use, and TPST at 100 and 200 Hz. The dynamic range of the cochlear implant map correlated with duration of auditory deprivation, speech perception outcome at 6 months and TPST at 100 and 200 Hz. TPST test can be used to predict functional outcome after cochlear implant surgery in difficult cases.

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Dynamical Instability Determines the Effect of Ongoing Noise on Neural Firing

Cited by 13 publications

References 74 publications

Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

Response of the Hodgkin-Huxley Neuron to a Periodic Sequence of Biphasic Pulses

The transtympanic promontory stimulation test in patients with auditory deprivation: correlations with electrical dynamics of cochlear implant and speech perception

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