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Introduction to Focus Issue: Rhythms and Dynamic Transitions in Neurological Disease: Modeling, Computation, and Experiment
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63. R. M. Miura, H. Huang, and J. J. Wylie, “Mathematical approaches to modeling of cortical spreading depression,” Chaos 23, 046103 (2013).
64. M. A. Dahlem, “Migraine generator network and spreading depression dynamics as neuromodulation targets in episodic migraine,” Chaos 23, 046101 (2013).
65. A. Proddutur, J. Yu, F. S. Elgammal, and V. Santhakumar, “Seizure-induced alterations in fast-spiking basket cell gaba currents modulate frequency and coherence of gamma oscillation in network simulations,” Chaos 23, 046109 (2013).
66. J. Cabral, H. M. Fernandes, T. Van Hartevelt, A. C. James, M. L. Kringelbach, and G. Deco, “Structural connectivity in schizophrenia and its impact on the dynamics of spontaneous functional networks,” Chaos 23, 046111 (2013).
67. H. G. Rotstein, “Abrupt and gradual transitions between low and hyperexcited firing frequencies in neuronal models with fast synaptic excitation: A comparative study,” Chaos 23, 046104 (2013).
68. S. Jalil, D. Allen, J. Youker, and A. Shilnikov, “Toward robust phase-locking in Melibe swim central pattern generator models,” Chaos 23, 046105 (2013).
69. D. Terman, J. E. Rubin, and C. O. Diekman, “Irregular activity arises as a natural consequence of synaptic inhibition,” Chaos 23, 046110 (2013).
70. X. Deng, E. N. Eskandar, and U. T. Eden, “A point process approach to identifying and tracking transitions in neural spiking dynamics in the subthalamic nucleus of Parkinson's patients,” Chaos 23, 046102 (2013).
71. F. K. Skinner and K. A. Ferguson, “Modeling oscillatory dynamics in brain microcircuits as a way to help uncover neurological disease mechanisms: A proposal,” Chaos 23, 046108 (2013).
73. M. Desroches, T. J. Kaper, and M. Krupa, “Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster,” Chaos 23, 046106 (2013).
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Rhythmic neuronal oscillations across a broad range of frequencies, as well as spatiotemporal phenomena, such as waves and bumps, have been observed in various areas of the brain and proposed as critical to brain function. While there is a long and distinguished history of studying rhythms in nerve cells and neuronal networks in healthy organisms, the association and analysis of rhythms to diseases are more recent developments. Indeed, it is now thought that certain aspects of diseases of the nervous system, such as epilepsy, schizophrenia, Parkinson's, and sleep disorders, are associated with transitions or disruptions of neurological rhythms. This focus issue brings together articles presenting modeling, computational, analytical, and experimental perspectives about rhythms and dynamic transitions between them that are associated to various diseases.
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