Recovery of stimuli encoded with a hodgkin-huxley neuron using conditional PRCs

Phase Response Curves in Neuroscience: Theory, Experiment, and Analysis

Volumn , Issue , 2012, Pages 257-277

  Kim, Anmo J ^a   Lazar, Aurel A ^a  

^a Department of Earth and Environmental Sciences   (United States)

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EID: 84875772806     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4614-0739-3_11     Document Type: Chapter

References (23)

1. Arcas, B. A. Y, Fairhall, A. L., & Bialek, W. (2003). Computation in a single neuron: Hodgkin and Huxley revisited. Neural Computation, 15(8), 1715-49.
2. Bialek, W., & Rieke, F. (1991). Reading a neural code. Science, 252(5014), 1854-1857.
3. Dayan, P., & Abbott, L. (2001). Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. MIT Press.
4. Ermentrout, B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural Computation, 8(5), 979-1001.
5. Hastings, J., & Sweeney, B. (1958). A Persistent Diurnal Rhythm of Luminescence in Gonyaulax Polyedra. The Biological Bulletin, 115(3), 440-458.
6. Hodgkin, A. L., & Huxley, A. F. (1952). A Quantitative Description of Membrane Current and its Application to Conduction and Excitation. J. Physiol, 117, 500-557.
7. Hoppensteadt, F., & Izhikevich, E. (1997). Weakly Connected Neural Networks. Springer.
8. Izhikevich, E. M. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. The MIT Press.
9. Kim, A. J., Lazar, A. A., & Slutskiy, Y. B. (2010, Aug). System identification of drosophila olfactory sensory neurons. Journal of Computational Neuroscience. (published online doi:10.1007/s10827-010-0265-0).
10. Kuramoto, R. (1984). Chemical Oscillations, Waves, and Turbulence. Springer-Verlag.
11. Lazar, A. A. (2004). Time Encoding with an Integrate-and-Fire Neuron with a Refractory Period. Neurocomputing, 58-60, 53-58.
12. Lazar, A. A. (2007). Recovery of Stimuli Encoded with Hodgkin-Huxley Neurons. In Cosyne'07 (p. III-94).
13. Lazar, A. A. (2010). Population encoding with hodgkin-huxley neurons. IEEE Transactions on Information Theory, 56(2), 821-837. Special Issue on Molecular Biology and Neuroscience.
14. Lazar, A. A., & Pnevmatikakis, E. A. (2008). Faithful Representation of Stimuli with a Population of Integrate-and-Fire Neurons. Neural Computation, 20(11), 2715-2744.
15. Lazar, A. A., & Tóth, L. T. (2004). Perfect Recovery and Sensitivity Analysis of Time Encoded Bandlimited Signals. Circuits and Systems I: Regular Paper, IEEE Transactions on, 51(10), 2060-2073.
16. Medina, J. F., & Lisberger, S. G. (2007). Variation, Signal, and Noise in Cerebellar Sensory-Motor Processing for Smooth-Pursuit Eye Movements. Journal of Neuroscience, 27(25), 6832.
17. Naka, K. I., Chan, R. Y., & Yasui, S. (1979). Adaptation in catfish retina. Journal of Neurophysiology, 42(2), 441-54.
18. Ota, K., Omori, T., & Aonishi, T. (2009). MAP Estimation Algorithm for Phase Response Curves based on Analysis of the Observation Process. Journal of Computational Neuroscience, 26(2), 185-202.
19. Penrose, R. (1955). A Generalized Inverse for Matrices. In Proceedings of the Cambridge Philosophical Society (Vol. 51, pp. 406-413).
20. Perkel, D. H., Gerstein, G. L., & Moore, G. P. (1967). Neuronal spike trains and stochastic point processes. I. The single spike train. Biophysical Journal, 7(4), 391-418.
21. Schuetze, S. M. (1983). The discovery of the action potential. Trends in Neurosciences, 6, 164-168.
22. Winfree, A. (1967). Biological Rhythms and the Behavior of Populations of Coupled Oscillators. Journal of Theoretical Biology, 16(1), 15-42.
23. Yoshimura, K., & Arai, K. (2008, Jan). Phase Reduction of Stochastic Limit Cycle Oscillators. Physical Review Letters, 101, 15401-1-15401-4.