Periodic orbits: a new language for neuronal dynamics.
A new nonlinear dynamical analysis is applied to complex behavior from neuronal systems. The conceptual foundation of this analysis is the abstraction of observed neuronal activities into a dynamical landscape characterized by a hierarchy of "unstable periodic orbits" (UPOs). UPOs are rigorously identified in data sets representative of three different levels of organization in mammalian brain. An analysis based on UPOs affords a novel alternative method of decoding, predicting, and controlling these neuronal systems.
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Center for Neuroscience, Children's National Medical Center, and the George Washington University School of Medicine, Washington, DC 20010, USA. paso@cnmc.org
Francis
J T
JT
Netoff
T I
TI
Gluckman
B J
BJ
Schiff
S J
SJ
D000200:Action Potentials; D000818:Animals; D001703:Biophysics / Q000379:methods; D004569:Electroencephalography; D004827:Epilepsy / Q000503:physiopathology; D006624:Hippocampus / Q000502:physiology* / Q000503:physiopathology; D006801:Humans; D066298:In Vitro Techniques; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D018408:Patch-Clamp Techniques; D011336:Probability; D017966:Pyramidal Cells / Q000502:physiology; D051381:Rats; D011930:Reaction Time