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Limitations of the Hodgkin-Huxley Formalism: Effects of Single Channel Kinetics on Transmembrane Voltage Dynamics
Abstract
A standard membrane model, based on the continuous deterministic Hodgkin-Huxley equations, is compared to an alternative membrane model, based on discrete stochastic ion channel populations represented through Markov processes. Simulations explore the relationship between these two levels of description: the behavior predicted by the macroscopic membrane currents versus the behavior predicted by their microscopic ion channels. Discussion considers the extent to which these random events underlying neural signals mediate random events in neural computation.
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Citations
Cited by
Faisal, A. A., Selen, L. P. J., & Wolpert, D. M. (2008) · Nature Reviews Neuroscience · doi:10.1038/nrn2258 · Cited by 2,883
Softky, W., & Koch, C. (1993) · The Journal of Neuroscience · doi:10.1523/jneurosci.13-01-00334.1993 · Cited by 1,689
Neuronal Reward and Decision Signals: From Theories to Data
Schultz, W. (2015) · Physiological Reviews · doi:10.1152/physrev.00023.2014 · Cited by 1,126
White, J. A., Rubinstein, J. T., & Kay, A. R. (2000) · Trends in Neurosciences · doi:10.1016/s0166-2236(99)01521-0 · Cited by 673
Destexhe, A., Mainen, Z. F., & Sejnowski, T. J. (1994) · Journal of Computational Neuroscience · doi:10.1007/bf00961734 · Cited by 623
Metadata
- Authors
- Strassberg, A. F., & DeFelice, L. J.
- Venue
- Neural Computation
- Publisher
- MIT Press - Journals
- Published
- 1993-11
- Volume
- 5
- Issue
- 6
- Pages
- 843-855
- ISSN
- 0899-7667 (ISSN-L)
- 1530-888X
- OpenAlex
- W2133301037
- Cited by
- 203
- References
- 0
- FWCI
- 2.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Limitations of the Hodgkin-Huxley Formalism: Effects of Single Channel Kinetics on Transmembrane Voltage Dynamics. https://app.cochat.ai/papers/10.1162/neco.1993.5.6.843
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- Strassberg, A. F., & DeFelice, L. J. (1993). Limitations of the Hodgkin-Huxley Formalism: Effects of Single Channel Kinetics on Transmembrane Voltage Dynamics. Neural Computation. https://doi.org/10.1162/neco.1993.5.6.843
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
