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Firing control of ink gland motor cells in Aplysia californica

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  • The release of ink in Aplysia californica occurs selectively to long-lasting stimuli. There is a good correspondence between features of the behavior and the firing pattern of the ink gland motor neurons. Indeed, the neurons do not fire for brief inputs and there is a delayed firing for long duration inputs. The biophysical mechanisms for the long delay before firing is due to a transient potassium current which activates rapidly but inactivates more slowly. Based on voltage-clamp experiments, a nine-variable Hodgkin-Huxley-like model for the ink gland motor neurons was developed by Byrne. Here, fast-slow analysis and two-parameter dynamical analysis are used to investigate the contribution of different currents and to predict various firing patterns, including the long latency before firing.
    Mathematics Subject Classification: Primary: 34C05, 34C23, 34G20; Secondary: 92C20.

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  • [1]

    P. Dayan and L. F. Abbott, "Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems," MIT Press, 2001.

    [2]

    Q. S. Lu, H. G. Gu, Z. Q Yang, X. Shi, L. X. Duan and Y. H. Zheng, Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis, Acta Mech. Sin., 24 (2008), 593-628.

    [3]

    A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conduction in nerve, J. Physiol. Lond., 117 (1952), 500-544.

    [4]

    J. Rinzel, Bursting oscillation in an excitable membrane model, In "Ordinary and Partial Differential Equations" (B. D. sleeman, R. J. Jarvis eds.), Springer, Berlin (1987), 267-281.

    [5]

    J. H. Byrne, Analysis of ionic conductance mechanisms in motor cells mediating inking behavior in aplysia californica, J. Neurophysiol., 43 (1980), 630-650.

    [6]

    J. H. Byrne, Quantitative aspects of ionic conductance mechanisms contributing to firing pattern of motor cells mediating inking behavior in aplysia californica, J. Neurophysiol., 43 (1980), 651-668.

    [7]

    J. H. Byrne, Simulation of the neural activity underlying a short-term modification of inking behavior in aplysis, Brain Res., 204 (1981), 200-203.

    [8]

    D. Golomb, K. Donner, L. Shacham, D. Shiosberg, Y. Amital, Y. and D. Hansel, Mechanisms of firing patterns in fast-spiking cortical interneurons, PLos Comp. Biol., 3 (2007), 1498-1512.

    [9]

    J. A. Connor, D. Walter and R. McKown, Neural repetitive firing, Modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons, Biophys. J., 18 (1977), 81-102.

    [10]

    M. E. Rush and J. Rinzel, The potassium A-current, low firing rates and rebound excitation in hodgin-huxley models, Bulletin of Mathematical Biology, 57 (1995), 899-929.

    [11]

    J. Rothman and P. B. Manis, The roles potassium currents play in regulating the electrical activity of ventral cochlear nucleus neurons, J. Neurophysiol., 89 (2003), 3097-3113.

    [12]

    P. O. Kanold, and P. B. Manis, A physiologically based model of discharge pattern regulation by transient K currents in cochlear nucleus pyramidal cells, J. Neurophysiol., 85 (2001), 523-538.

    [13]

    X. Y. Meng, Q. S. Lu and J. RinzelControl of firing patterns by two transient potassium currents: leading spike, latency, bistability, J. Computl. Neurosci., (in press).

    [14]

    J. F. Storm, Temporal integration by a slowly inactivating $K$+ current in hippocampal neurons, Nature, 336 (1988), 379-381.

    [15]

    P. B. Manis, Membrane properties and discharge characteristics of guinea pig dorsal cochlear nucleus neurons studied in vitro, J. Neurosci., 10 (1990), 2338-2351.

    [16]

    W. S. Rhode, P. H. Smith and D. Oertel, Physiological response properties of cells labeled intracellularly with horseradish peroxidase in cat dorsal cochlear nucleus, J. Comparative Neurol., 213 (1983), 426-447.

    [17]

    T. J. Carew and E. R. Kandel, Inking in Aplysia californica. I. Neural circuit of an all-or-none behavioral response, J. Neurophysiol., 40 (1977), 692-707.

    [18]

    E. Shapiro, J. Koester and J. H. Byrne, Aplysia ink release: locus of selective sensitivity to long-duration stimuli, J. Neurophysiol., 42 (1979), 1223-1232.

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