Abstract
Part IV of the book is about synchronization in populations of nerve cells.
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In fact, the graph in Fig. 23.6 resembles the Cantor function, also called the devil’s staircase. The Cantor function is a standard example of a function that is differentiable with derivative zero everywhere except on a set with measure zero, but not constant. We won’t pursue this connection here, though.
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Matlab command for generating a column vector of 100 independent, uniformly distributed random numbers between 0.14 and 0.19: g=0.14+rand(100,1)*0.05;
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One should be a bit skeptical of this conclusion. It is based on one very simple model only.
Bibliography
G. Buzsáki, C. A. Anastassiou, and C. Koch, The origin of extracellular fields and currents — EEG, ECoG, LFP and spikes, Nature Reviews Neurosci., 13 (2012), pp. 407–420.
A. Greenberg and C. T. Dickson, Spontaneous and electrically modulated spatiotemporal dynamics of the neocortical slow oscillation and associated local fast activity, NeuroImage, 83 (2013), pp. 782–794.
R. D. Traub and M. Whittington, Cortical Oscillations in Health and Disease, Oxford University Press, 2010.
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Börgers, C. (2017). Entrainment by Excitatory Input Pulses. In: An Introduction to Modeling Neuronal Dynamics. Texts in Applied Mathematics, vol 66. Springer, Cham. https://doi.org/10.1007/978-3-319-51171-9_23
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