Brain Stimulation of Comatose Patients: A Chaos and Nonlinear Dynamics Approach

  • Robert W. Thatcher
Chapter

Abstract

A recent and important contribution to the neurophysiological bases of human consciousness lies in the application of the mathematics of nonlinear dynamics or chaos theory to human electrophysiology. Recently, Freeman (1987a; 1987b) has used chaos theory to model state changes in the electroencephalogram (EEG), in which a relatively small number of parameters can determine brain state from seizure, deep anesthesia, sleep, awakeness, etc. One advantage of the nonlinear dynamic models of neural networks is simplification, whereby a small number of parameter changes can result in large-system state changes that may involve billions of individually interacting elements (Thompson and Stewart, 1986). Another advantage is the consistency of mathematics from the laws of physics to the laws of biology in which common, and often poorly understood, phenomena are explained by a single mathematical model (Peitgen and Richter, 1986; Swinney, 1983; Swinney and Gollub, 1981; Swinney and Roux, 1984; Thompson and Stewart, 1986).

Keywords

Lyapunov Exponent Brain Stimulation Reticular Formation Glasgow Coma Score Brain State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1990

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  • Robert W. Thatcher

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