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Additional Supporting Information may be found in the online version of this article.

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hipo22133-sup-0001-suppinfo.doc2027KFigure S1: Pathologies of the model. (A,B) If T = T0/2, the population oscillation occurs at double frequency which might be either outside (A, T0 = 100 ms) or inside (B, T0 = 150 ms) the theta band. Inset in B displays an example phase diagram. (C) At large values of T > T0/2 (here T = 85 ms) a theta oscillation is generated, however, the popultion oscillates slightly faster than the single cells, and the spike phase increases (see inset). (D) For tooo many spikes per field the theta power vanishes (here S = 10, T = 11 ms). (E) LFP power spectra as a function of the offset I for S = 6 spikes (upper panel) and S = 10 spikes (lower panel). Darker colors indicate higher power. The shaded area delimits the region with theta power < 5% of the value at T=0. The gray dashed lines indicate the fundamental frequency 1/(T0+ T) and the first harmonic 2/(T0+ T), respectively. Black dotted lines indicate the offset boundaries T5, i.e., the delay beyond which the theta power at the fundamental frequency drops below 5% of its value at T = 0. Arrows mark values corresponding to the examples (A-D). (F) Offset boundary T5 (upper panel) and theta frequency (lower panel) as a function of spike number S. If not stated otherwise, parameters are T0 = 100 ms, S = 6 spikes.

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