PERIOD-ADDING BIFURCATION WITH CHAOS IN THE INTERSPIKE INTERVALS GENERATED BY AN EXPERIMENTAL NEURAL PACEMAKER

The dynamics of the generation of the various spike trains in neural pacemakers is of fundamental importance to the understanding of neural coding. Recent studies have demonstrated, theoretically and experimentally, that neural pacemakers produce chaotic oscillations. Deeper analyses in several neuronal models have revealed many nonlinear phenomena including period-adding bifurcations whose existence has not been experimentally confirmed. In this letter, we reported that the period-adding bifurcation with chaos was observed in the interspike interval (ISI) series generated by an experimental neural pacemaker when the extracellular calcium concentration was changed or a potassium channel blocker was administered at the site of the pacemaker. We also simulated our experimental discoveries by computing a generalized model of excitable cells. The chaotic phenomenon in the experiment and that in the model were demonstrated and compared using the nonlinear forecasting and surrogate data methods.

[1]  André Longtin,et al.  NONLINEAR FORECASTING OF SPIKE TRAINS FROM SENSORY NEURONS , 1993 .

[2]  Kazuyuki Aihara,et al.  An alternating periodic-chaotic sequence observed in neural oscillators , 1985 .

[3]  Patrick D. Wall,et al.  Properties of afferent nerve impulses originating from a neuroma , 1974, Nature.

[4]  N. Dun,et al.  Spontaneous and transmitter-induced rhythmic activity in neonatal rat sympathetic preganglionic neurons in vitro. , 1994, Journal of neurophysiology.

[5]  Arthur Sherman,et al.  Channels, Coupling, and Synchronized Rhythmic Bursting Activity , 1992 .

[6]  George Sugihara,et al.  Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series , 1990, Nature.

[7]  Arun V. Holden,et al.  From simple to complex oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity , 1992 .

[8]  Gary J. Bennett,et al.  A peripheral mononeuropathy in rat that produces disorders of pain sensation like those seen in man , 1988, Pain.

[9]  J. P. Segundo,et al.  Transients in the inhibitory driving of neurons and their postsynaptic consequences , 1994, Neuroscience.

[10]  Karin Hinzer,et al.  Encoding with Bursting, Subthreshold Oscillations, and Noise in Mammalian Cold Receptors , 1996, Neural Computation.

[11]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[12]  M. Devor Neuropathic pain and injured nerve: peripheral mechanisms. , 1991, British medical bulletin.

[13]  Teresa Ree Chay,et al.  Chaos in a three-variable model of an excitable cell , 1985 .

[14]  R. Hoffman,et al.  Nonlinear sequence-dependent structure of nigral dopamine neuron interspike interval firing patterns. , 1995, Biophysical journal.

[15]  Kaplan,et al.  Subthreshold dynamics in periodically stimulated squid giant axons. , 1996, Physical review letters.