Control of traveling waves in the Mammalian cortex.

We experimentally confirmed predictions that modulation of the neuronal threshold with electrical fields can speed up, slow down, and even block traveling waves in neocortical slices. The predictions are based on a Wilson-Cowan-type integro-differential equation model of propagating neocortical activity. Wave propagation could be modified quickly and reversibly within targeted regions of the network. To the best of our knowledge, this is the first example of direct modulation of the threshold to control wave propagation in a neural system.

[1]  G. Mathern,et al.  Epilepsia , 1991, NEURO FUNDAMENTAL.

[2]  Heinz Zemanek,et al.  Kybernetik , 1964, Elektron. Rechenanlagen.

[3]  A. Zhabotinsky,et al.  Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System , 1970, Nature.

[4]  J Rinzel,et al.  Traveling wave solutions of a nerve conduction equation. , 1973, Biophysical journal.

[5]  R. H. Giles,et al.  The landscape epidemiology of rabies in Virginia. , 1978, The American journal of tropical medicine and hygiene.

[6]  A. Winfree.  The geometry of biological time , 1991 .

[7]  B. Connors.  Initiation of synchronized neuronal bursting in neocortex , 1984, Nature.

[8]  L. Schulman,et al.  Percolation and Galaxies , 1986, Science.

[9]  J. Keener,et al.  Singular perturbation theory of traveling waves in excitable media (a review) , 1988 .

[10]  C. Nicholson,et al.  Effects of electric fields on transmembrane potential and excitability of turtle cerebellar Purkinje cells in vitro. , 1988, The Journal of physiology.

[11]  B. Connors,et al.  Periodicity and directionality in the propagation of epileptiform discharges across neocortex. , 1988, Journal of neurophysiology.

[12]  B. M. Fulk.  MATH , 1992 .

[13]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[14]  T. Faber,et al.  Fluid Dynamics for Physicists: Frontmatter , 1995 .

[15]  Michael P Marder,et al.  Origin of crack tip instabilities , 1994, chao-dyn/9410009.

[16]  J. Lumley,et al.  Fluid Dynamics for Physicists , 1996 .

[17]  Y. Amitai,et al.  Propagating neuronal discharges in neocortical slices: computational and experimental study. , 1997, Journal of neurophysiology.

[18]  B W Connors,et al.  Layer‐Specific Pathways for the Horizontal Propagation of Epileptiform Discharges in Neocortex , 1998, Epilepsia.

[19]  J. Rinzel,et al.  Propagating activity patterns in large-scale inhibitory neuronal networks. , 1998, Science.

[20]  P. Bressloff.  Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons , 2000, Journal of mathematical biology.

[21]  J Jalife,et al.  Standing excitation waves in the heart induced by strong alternating electric fields. , 2001, Physical review letters.

[22]  Bruce J. Gluckman,et al.  Adaptive Electric Field Control of Epileptic Seizures , 2001, The Journal of Neuroscience.

[23]  Bard Ermentrout,et al.  Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses , 2001, SIAM J. Appl. Math..

[24]  Kenneth Showalter,et al.  Design and Control of Wave Propagation Patterns in Excitable Media , 2002, Science.

[25]  Steven J Schiff,et al.  In Vivo Modulation of Hippocampal Epileptiform Activity with Radial Electric Fields , 2003, Epilepsia.

[26]  S. Schiff,et al.  Sensitivity of Neurons to Weak Electric Fields , 2003, The Journal of Neuroscience.

[27]  S. Amari.  Dynamics of pattern formation in lateral-inhibition type neural fields , 1977, Biological Cybernetics.

[28]  J. Jefferys,et al.  Effects of uniform extracellular DC electric fields on excitability in rat hippocampal slices in vitro , 2004, The Journal of physiology.

[29]  J. Cowan,et al.  A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue , 1973, Kybernetik.