2023/01/16 by Francois A. Marshall, Marshall, Francois A.
Chemistry · Neuroscience · Physics and Astronomy · #Applications (stat.AP) #Dynamical Systems (math.DS) #Electrochemical Analysis and Applications #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Quantitative Methods (q-bio.QM) #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2301.06337
openalex publication_date 2023/01/16 · openalex created_date 2023/01/19 · openalex updated_date 2026/07/28
Temporal-lobe epilepsy in humans is often associated with widespread, synchronized neuron firing that co-occurs with traveling waves in local field potential. These traveling waves generate stochastic oscillations in a time series of microelectrode voltage, and previous work has deemed it informative for traveling-wave analysis to study the mean periodicity. This manuscript reveals that: a) mean voltage (i.e., traveling-wave periodicity) adequately explains the observed voltage periodicity only for a select few time intervals during seizure; and b) mean voltage has a 7 Hz cosine-series representation indicative of a nonlinear system response given alpha-rhythm input. The a) result implies that residual noise should be modelled explicitly, while b) motivates a departure from the conventional plane-wave modeling regime in source-localization efforts. The 7 Hz fundamental frequency is unsurprising given the relative transparency of the brain to 14 Hz alpha rhythms in neurophysiological diseases (14 Hz being a subharmonic frequency of the 7 Hz signal).