Neural Network Model for Apparent Deterministic Chaos in Spontaneously Bursting Hippocampal Slices

Details Neural Network Model for Apparent Deterministic Chaos in Spontaneously Bursting Hippocampal Slices Neural Network Model for Apparent Deterministic Chaos in Spontaneously Bursting Hippocampal Slices

2002-03-19

arxiv.org/abs/cond-mat/0203384v1

Phys. Rev. Lett. 88, 088102 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 .eps figures (included), requires psfrag.sty (included)

Scientific paper

10.1103/PhysRevLett.88.088102

A neural network model that exhibits stochastic population bursting is studied by simulation. First return maps of inter-burst intervals exhibit recurrent unstable periodic orbit (UPO)-like trajectories similar to those found in experiments on hippocampal slices. Applications of various control methods and surrogate analysis for UPO-detection also yield results similar to those of experiments. Our results question the interpretation of the experimental data as evidence for deterministic chaos and suggest caution in the use of UPO-based methods for detecting determinism in time-series data.

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