Abstract

The work introduces a linear neural population model that allows to derive analytically the power spectrum subjected to the concentration of the anesthetic propofol. The analytical study of the power spectrum of the systems activity gives conditions on how the frequency of maximum power in experimental electroencephalographic (EEG) changes dependent on the propofol concentration. In this context, we explain the anesthetic-induced power increase in neural activity by an oscillatory instability and derive conditions under which the power peak shifts to larger frequencies as observed experimentally in EEG. Moreover the work predicts that the power increase only occurs while the frequency of maximum power increases. Numerically simulations of the systems activity complement the analytical results.

Highlights

  • General anesthesia (GA) is an important medical application in today’s hospital surgery

  • Such features comprise the diminution of α-activity accompanied by a subsequent enhancement of δ-activity while increasing anesthetic concentration (Gugino et al, 2001; Cimenser et al, 2011; Murphy et al, 2011) and the power enhancement of activity induced by some anesthetics (McCarthy et al, 2008; Ching et al, 2010)

  • The current work focusses on the power enhancement and the frequency shift of maximum power while increasing the anesthetic concentration and gives insights into its origin by the analytical treatment of a linear neural field model

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Summary

Introduction

General anesthesia (GA) is an important medical application in today’s hospital surgery. Most theoretical studies aim to explain signal features of electroencephalographic (EEG) data observed during anesthesia Such features comprise the diminution of α-activity accompanied by a subsequent enhancement of δ-activity while increasing anesthetic concentration (Gugino et al, 2001; Cimenser et al, 2011; Murphy et al, 2011) and the power enhancement of activity induced by some anesthetics (McCarthy et al, 2008; Ching et al, 2010). The current work focusses on the power enhancement and the frequency shift of maximum power while increasing the anesthetic concentration and gives insights into its origin by the analytical treatment of a linear neural field model

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