# Response of the Hodgkin-Huxley neuron to a periodic sequence of biphasic pulses

@article{Borkowski2011ResponseOT, title={Response of the Hodgkin-Huxley neuron to a periodic sequence of biphasic pulses}, author={L. S. Borkowski}, journal={arXiv: Biological Physics}, year={2011} }

We study the response of the Hodgkin-Huxley neuron stimulated periodically by biphasic rectangular current pulses. The optimal response for charge-balanced input is obtained for cathodic-first pulses with an inter-phase gap (IPG) approximately equal 5 ms. For short pulses the topology of the global bifurcation diagram in the period-amplitude plane is approximately invariant with respect to the pulse polarity and shape details. If stimuli are delivered at neuron's resonant frequencies the firing…

## References

SHOWING 1-10 OF 85 REFERENCES

### Response of a Hodgkin-Huxley neuron to a high-frequency input.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

The response of a Hodgkin-Huxley neuron stimulated by a periodic sequence of conductance pulses arriving through the synapse in the high-frequency regime is studied, finding that in some regions of parameter space the response is irregular, probably chaotic.

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

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

The stochastic coherence antiresonance, defined as a simultaneous occurrence of the maximum of the coefficient of variation and the minimum of the firing rate vs the noise intensity, occurs over a wide range of parameter values, including monostable regions.

### Multimodal transition and excitability of a neural oscillator

- Physics
- 2011

The Morris-Lecar model response to a periodic train of short current pulses in the period-amplitude plane implies that the multimodal transition may be a universal property of resonant neurons.

### Multimodal transition and stochastic antiresonance in squid giant axons.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

The experimental data of Takahashi on the response of squid giant axons stimulated by periodic sequence of short current pulses is interpreted within the Hodgkin-Huxley model, and the coefficient of variation has a maximum and the firing rate has a minimum as a function of the noise intensity, which is an indication of the stochastic coherence antiresonance.

### Computation in a Single Neuron: Hodgkin and Huxley Revisited

- Computer ScienceNeural Computation
- 2003

This work applies the reverse correlation technique with white noise input and information theory to analyze the simplest biophysically realistic model neuron, the Hodgkin-Huxley (HH) model, and finds that an even better approximation is to describe the relevant subspace as two dimensional but curved; in this way it can capture 90 of the mutual information even at high time resolution.

### Electrical stimulation of the auditory nerve: II. Effect of stimulus waveshape on single fibre response properties

- Biology, PhysicsHearing Research
- 1999

### The neuronal response to electrical constant-amplitude pulse train stimulation: additive Gaussian noise

- PhysicsHearing Research
- 2000

### Impulses and Physiological States in Theoretical Models of Nerve Membrane.

- BiologyBiophysical journal
- 1961

### Comparison of rectangular and exponential current pulses for evoking sensation

- PhysicsAnnals of Biomedical Engineering
- 2006

These results indicate that these two waveforms are not equivalent on the basis of an equal-charge requirement for excitation, particularly at the short pulse durations, and suggest the need of a better expression to describe the excitability characteristics of tissues.

### Dynamical Instability Determines the Effect of Ongoing Noise on Neural Firing

- PhysicsJournal of the Association for Research in Otolaryngology
- 2008

It is demonstrated that the nonlinear dynamics of neural excitation and refractoriness embodied in the FitzHugh–Nagumo (FN) model produce realistic firing irregularity at high stimulus rates, even in the complete absence of ongoing physiological noise.