Effect of inhibitory diffusive coupling on frequency-selectivity of excitable media simulated with Cellular Neural Networks

We present a biologically inspired approach to time series analysis by means of nonlinear excitable media simulated with cellular neural networks. Following main principles of biophysical and neuronal mechanisms underlying sound processing in mammals we develop a method for the noise-tolerant instantaneous detection of transient spectral patterns. We also show an influence of the lateral inhibition on the frequency selectivity of excitable media

[1]  M. Alexander,et al.  Principles of Neural Science , 1981 .

[2]  A. Hudspeth,et al.  Essential nonlinearities in hearing. , 2000, Physical review letters.

[3]  Gerold Baier,et al.  Frequency-selective induction of excitation waves near sub- and supercritical Hopf bifurcation , 2004 .

[4]  Klaus Lehnertz,et al.  EEG Analysis With Nonlinear Excitable Media , 2005, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[5]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[6]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[7]  勇一 作村,et al.  Biophysics of Computation , 2001 .

[8]  S. W. Kuffler,et al.  From Neuron to Brain: A Cellular and Molecular Approach to the Function of the Nervous System , 1992 .

[9]  Luigi Fortuna,et al.  The CNN Paradigm for Complexity , 2008 .

[10]  Gerold Baier,et al.  Nonlinear dynamic conversion of analog signals into excitation patterns. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  A. Kraskov,et al.  On the predictability of epileptic seizures , 2005, Clinical Neurophysiology.

[12]  H. Helmholtz,et al.  On the Sensations of Tone as a Physiological Basis for the Theory of Music , 2005 .

[13]  F. Mormann,et al.  Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients , 2000 .

[14]  Klaus Lehnertz,et al.  Estimating phase synchronization in dynamical systems using cellular nonlinear networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Eugene M. Izhikevich,et al.  Neural excitability, Spiking and bursting , 2000, Int. J. Bifurc. Chaos.

[16]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[17]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[18]  Leon O. Chua,et al.  Autonomous cellular neural networks: a unified paradigm for pattern formation and active wave propagation , 1995 .

[19]  P. Parmananda,et al.  Human electroencephalogram induces transient coherence in excitable spatiotemporal chaos. , 2000, Physical review letters.

[20]  Klaus Lehnertz,et al.  Measuring Synchronization with Nonlinear Excitable Media , 2007, Int. J. Bifurc. Chaos.