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. To have and to hold-and to oscillate-in sickness and in health.
INTRODUCTIONDynamic phenomena, such as rhythmic oscillations and waves, are ubiquitous in the nervous system and have been associated with cognition and motor behavior in both health and disease. [1][2][3][4][5] Oscillations in different frequency ranges have been associated with healthy brain function, including learning, memory, spatial navigation, attention, sleep, and motor behavior. 2,6-14 Wave-like phenomena have been associated with sensory processing 15 and working memory. 16 Rhythmic neuronal activity-and transitions between rhythms-are also central phenomena in neurological disease. 5,17 Perhaps the most famous manifestations occur in epilepsy, which is characterized as a paroxysmal cerebral dysrhythmia (see, e.g., Ref. 18 A broad range of rhythms, and transitions between different rhythmic regimes, have been observed for these diseases. In epilepsy, the rhythms range from extremely fast (e.g., hundreds of Hertz 27-30 ) to slow (e.g., a few Hertz 31,32 ) and are bracketed by abrupt transitions at the onset and termination of seizure events. [33][34][35][36] Schizophrenia-characterized as a failure of cognitive integration-manifests in brain rhythms as altered beta and gamma band (15-70 Hz) synchronization. 22,37 In Alzheimer's disease, brain rhythms shift to power at lower frequencies, and the coherence of fast rhythms decreases. 23,38,39 In Parkinson's disease, pathologically exaggerated beta oscillations characterize the abnormal rhythms. 25,[40][41][42][43][44] Transitions between dynamic regimes have been observed during sleep, and abnormal transitions have been associated with sleep disorders. 26,[45][46][47][48][49][50][51] Finally, the slow waves of cortical spreading depression 52 underlie the reduction of excitability in neuronal tissue associated with migraine, 53,54 in particular, migraine with aura. 52 On the three fronts of modeling, computation, and experiment, there have been a series of important recent advances, and many new avenues of research have emerged. These include: (1) new techniques to record high-density brain activity; 55-57 (2) theoretical advances and clinical a...