Lyle E. Muller

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Beta (β)- and gamma (γ)-oscillations are present in different cortical areas and are thought to be inhibition-driven, but it is not known if these properties also apply to γ-oscillations in humans. Here, we analyze such oscillations in high-density microelectrode array recordings in human and monkey during the wake-sleep cycle. In these recordings, units(More)
We introduce an analytic model for directed Watts-Strogatz small-world graphs and deduce an algebraic expression of its defining adjacency matrix. The latter is then used to calculate the small-world digraph's asymmetry index and clustering coefficient in an analytically exact fashion, valid nonasymptotically for all graph sizes. The proposed approach is(More)
In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks using graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the presence of serious uncertainties, such as major undersampling of the experimental data. In the specific case of neural(More)
In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks, via graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the presence of serious uncertainties, such as major undersampling of the experimental data. In the specific case of neural(More)
In estimating the frequency spectrum of real-world time series data, we must violate the assumption of infinite-length, orthogonal components in the Fourier basis. While it is widely known that care must be taken with discretely sampled data to avoid aliasing of high frequencies, less attention is given to the influence of low frequencies with period below(More)
Authors: *G. P. KRISHNAN1, M. J. CHOINSKI1, L. E. MULLER2, D. J. HAGLER, Jr3, S. S. CASH5, T. J. SEJNOWSKI2, E. HALGREN4, M. BAZHENOV6; 1Univ. of California, Riverside, Riverside, CA; 2Computat. Neurobio. Lab., Salk Inst. for Biol. Studies, La Jolla, CA, San Diego, CA; 3Radiology, 4Dept. and Radiology, UCSD, San Diego, CA; 5Dept. of Neurol., Massachusetts(More)
In recent years, small-world graphs have gained considerable interest as models of real-world systems, which often display features residing between regularity and randomness. The most notable of these models is the Watts-Strogatz graph [1], though alternatives have been proposed [2]. The unifying characteristics of these models are that any two nodes are(More)
The number of connected components and the size of the largest connected component are studied under node and edge removal in the connectivity graph of the C. elegans nervous system. By studying the two subgraphs – the directed graph of chemical synapses and the undirected graph of electrical junctions – we observe that adding a small number of undirected(More)
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