Dynamics analysis of neural univariate time series by recurrence plots

Tamara Tošić (1, 2) , Peter Beim Graben (3, 4) , Kristin K. Sellers (5) , Flavio Fröhlich (5) , Axel Hutt (2, 1)

1 LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 NEUROSYS - Analysis and modeling of neural systems by a system neuroscience approach
3 Bernstein Center for Computational Neuroscience
4 Department of Computer Science [Berlin]
5 UNC - University of North Carolina [Chapel Hill]

Transients in non-linear biological signals (e.g., population dynamics or physiological signals) encode an intrinsic behaviour of system dynamics. We study the problem of detecting dynamical transients given a set of signal trials. In general case, different biological signals emerge from different origins and hence exhibit distinct properties that are hard to grasp. For example, to analyze sleep recordings. one considers rhythms of the brain, the cardio-vascular and the respiratory systems. The synchronous analysis of the corresponding time series is an unsolved problem and extracting information from such signals and their trial statistics is challenging. In addition, measurement noise and time jitters between trials may corrupt signals. To attack this demanding problem, we start by a preliminary study of extracting features in multiple trials from univariate time series of the same origin, but without taking into account the common origin. The new method jointly analyzes neural signals by extracting statistical properties, obtained by exploiting the fundamental feature of dynamical systems, the recurrence structure.

Domaines: Neurosciences; Traitement du signal et de l'image [eess.SP]; Dynamique Chaotique [nlin.CD]

Tamara Tošić, Peter Beim Graben, Kristin K. Sellers, Flavio Fröhlich, Axel Hutt. Dynamics analysis of neural univariate time series by recurrence plots. 24th Annual Computational Neuroscience Meeting, Jul 2015, Prague, Czech Republic. ⟨hal-01159675⟩