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Comparison of Coding Capabilities of Type I and Type II Neurons

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Abstract

We consider the dependence of information transfer by neurons on the Type I vs. Type II classification of their dynamics. Our computational study is based on Type I and II implementations of the Morris-Lecar model. It mainly concerns neurons, such as those in the auditory or electrosensory system, which encode band-limited amplitude modulations of a periodic carrier signal, and which fire at random cycles yet preferred phases of this carrier. We first show that the Morris-Lecar model with additive broadband noise (“synaptic noise”) can exhibit such firing patterns with either Type I or II dynamics, with or without amplitude modulations of the carrier. We then compare the encoding of band-limited random amplitude modulations for both dynamical types. The comparison relies on a parameter calibration that closely matches firing rates for both models across a range of parameters. In the absence of synaptic noise, Type I performs slightly better than Type II, and its performance is optimal for perithreshold signals. However, Type II performs well over a slightly larger range of inputs, and this range lies mostly in the subthreshold region. Further, Type II performs marginally better than Type I when synaptic noise, which yields more realistic baseline firing patterns, is present in both models. These results are discussed in terms of the tuning and phase locking properties of the models with deterministic and stochastic inputs.

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References

  • Bastian J (1981) Electrolocation 1. How the electroreceptors of Apteronotus Leptorynchus code for moving objects and other external stimuli. J. Comp. Physiol. 144: 465-479.

    Google Scholar 

  • Bastian J (1994) Electrosensory organisms. Physics Today 47: 30-37.

    Google Scholar 

  • Carr CE (1993) Processing of temporal information in the brain. Annu. Rev. Neurosci. 16: 223-243.

    Google Scholar 

  • Carr CE, Friedman MA (1999) Evolution of time coding systems. Neural Comp. 11: 1-20.

    Google Scholar 

  • Chacron MJ, Longtin A, St-Hilaire M, Maler L (2000) Suprathreshold stochastic firing dynamics with memory in P-type electroreceptors. Phys. Rev. Lett. 85: 1576-1579.

    Google Scholar 

  • Chacron MJ, Longtin A, Maler L (2001) Negative interspike interval correlations increase the neuronal capacity for encoding time-dependent stimuli. J. Neurosci. 21: 5328-5343.

    Google Scholar 

  • Chacron MJ, Pakdaman K, Longtin A (2003) Interspike interval correlations, phase locking and chaotic dynamics in a leaky integrate and-fire model with dynamic threshold. Neural Comput. (in press).

  • Chialvo DR, Longtin A, Muller-Gerkin J (1997) Stochastic resonance in models of neuronal ensembles. Phys. Rev. E 55: 1798-1808.

    Google Scholar 

  • Ermentrout GB (1996) Type I membranes, phase resetting curves and synchrony. Neural Comp. 8: 979-1001.

    Google Scholar 

  • Fox RF, Gatland IR, Roy R, Vemuri G (1988) Fast, accurate algorithm for numerical simulation of exponentially correlated colored noise. Phys. Rev. A 38: 5938-5940.

    Google Scholar 

  • French AS, Holden AV, Stein RB (1972) The estimation of the frequency response function of a mechanoreceptor. Kybernetik 11: 15-23.

    Google Scholar 

  • Gabbiani F (1996a) Coding of time-varying signals in spike trains of linear and half-wave rectifying neurons. Network Comp. Neural Syst. 7: 61-85.

    Google Scholar 

  • Gabbiani F, Koch C (1996b) Coding of time-varying signal in spike trains of integrate-and-fire neurons with random threshold. Neural Comput. 8: 44-66.

    Google Scholar 

  • Gabbiani F, Koch C (2000) Principles of spike train analysis. In: Koch C, Segev I, eds. Methods in Neuronal Modeling, 2nd edn. MIT Press, Cambridge, pp. 313-360. Algorithms available at http://glab.bcm.tmc.edu/signal processing techniques/signal proc.html.

    Google Scholar 

  • Gammaitoni L, Hanggi P, Marchesoni F, Jung P (1998) Stochastic resonance. Rev. Mod. Phys. 70: 223-288.

    Google Scholar 

  • Geisler CD, Goldberg JM (1966) A stochastic model of the repetitive activity of neurons. Biophys. J. 7: 53-69.

    Google Scholar 

  • Gutkin BS, Ermentrout GB (1998) Dynamics of membrane excitability determine interspike interval variability: A link between spike generation mechanisms and cortical spike train statistics. Neural Comput. 10: 1047-1065.

    Google Scholar 

  • Hodgkin AL (1948) The local electric changes associated with repetitive action in a non-medullated axon. J. Physiol. (London) 107: 165-181.

    Google Scholar 

  • Izhikevich EM (2001) Resonate-and-fire neurons. Neural Networks 14: 883-894.

    Google Scholar 

  • Keener JP, Hoppensteadt FC, Rinzel J (1981) Integrate and fire models of nerve membrane response to oscillatory input. SIAM J. Appl. Math. 41: 127-144.

    Google Scholar 

  • Knight B (1972) Dynamics of encoding in a population of neurons. J. Gen. Physiol. 59: 734-766.

    Google Scholar 

  • Longtin A (2002) Phase locking and resonances in stochastic excitable systems. Fluct. and Noise Lett. 2: 183-211.

    Google Scholar 

  • Longtin A (2000) Effect of noise on the tuning properties of excitable systems. Chaos, Solit. and Fract. 11: 1835-1848.

    Google Scholar 

  • Longtin A (1995) Mechanisms of stochastic phase locking. Chaos 5: 209-215.

    Google Scholar 

  • Longtin A, St-Hilaire M (2000) Encoding carrier amplitude modulations via stochastic phase synchronization. Intern. J. Bifurc. Chaos 10: 2447-2463.

    Google Scholar 

  • Machens CK, Stemmler MB, Prinz P, Krahe R, Ronacher B, Herz AVM (2001) Representation of acoustic communication signals by insect auditory receptor neurons. J. Neurosci. 21: 3215-3227.

    Google Scholar 

  • Masuda N, Aihara K (2002) Spatiotemporal spike encoding of a continuous external signal. Neural Comput. 14: 1599-1628.

    Google Scholar 

  • Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys. J. 35: 193-213.

    Google Scholar 

  • Morse RP, Evans EF (1996) Enhancement of vowel coding for cochlear implants by addition of noise. Nature Med. 2: 928-932.

    Google Scholar 

  • Nelson ME, Xu Z, Payne JR (1997) Characterization and modeling of P-type electrosensory afferent responses to amplitude modulations in a wave-type electric fish. J. Comp. Physiol. A 181: 532-544.

    Google Scholar 

  • Press WH, Teukolski SA, Vetterling WT, Flannery BP (1992) Numerical Recipes in C: The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge.

    Google Scholar 

  • Rinzel J, Ermentrout B (1991) Analysis of neural excitability and oscillations. In: Koch C, Segev I, eds. Methods in Neuronal Modeling. MIT Press, Cambridge, pp. 135-169.

    Google Scholar 

  • Rose J, Brugge J, Anderson D, Hind J (1967) Phase-locked response to low frequency tones in single auditory nerve fibers of the squirrel monkey. J. Neurophysiol. 30: 769.

    Google Scholar 

  • Scheich H, Bullock T, Hamstra Jr, RH (1973) Coding properties of two classes of afferent nerve fibers: High frequency receptors in the electric fish Eigenmannia. J. Neurophysiol. 36: 39-60.

    Google Scholar 

  • St-Hilaire M (2002) M.Sc. Thesis, Physics Dept., University of Ottawa.

  • Strogatz SH (1994) Nonlinear Dynamics and Chaos With Applications in Physics, Biology, Chemistry and Engineering. Addison-Wesley, Reading, Mass.

    Google Scholar 

  • Talbot W, Darian-Smith I, Kornhuber H, Mountcastle V (1968) The sense of flutter-vibration: Comparison of the human capacity with response patterns of mechanoreceptive afferents for the monkey hand. J. Neurophysiol. 31: 301.

    Google Scholar 

  • Tsodyks MV, Markram H (1997) The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proc. Natl. Acad. Sci. USA: 719-723.

  • Turner RW, Maler L, Burrows M (1999) Electroreception and electrocommunication. J. Exp. Biol. 202 (special issue).

  • Wessel R, Koch C, Gabbiani F (1996) Coding of time-varying electric field amplitude modulations in a wave-type electric fish. J. Neurophysiol. 75: 2280-2293.

    Google Scholar 

  • Xu Z, Payne JR, Nelson ME (1996) Logarithmic time course of sensory adaptation in electrosensory afferent nerve fibers in a weakly electric fish. J. Neurophysiol. 76: 13.

    Google Scholar 

  • Zador A (1998) Impact of synaptic unreliability on the information transmitted by spiking neurons. J. Neurophysiol. 79: 1219-1229.

    Google Scholar 

  • Zakon HH (1986) The electroreceptive periphery. In: Bullock TH, Heilingenberg W, eds. Electroreception. John Wiley and Sons, New York, pp. 103-156.

    Google Scholar 

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St-Hilaire, M., Longtin, A. Comparison of Coding Capabilities of Type I and Type II Neurons. J Comput Neurosci 16, 299–313 (2004). https://doi.org/10.1023/B:JCNS.0000025690.02886.93

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