A Mechanistic Neural Field Theory of How Anesthesia Suppresses Consciousness

In this section, we use the different analysis results developed in the paper to present several numerical experiments that illustrate the qualitative behavior of the proposed firing-rate models. 7.1 Two-Class Mean Excitatory and Mean Inhibitory Synaptic Drive Model First, we consider the two-class mean field model (11) and (12) with a single equilibrium point. Figures 3 and 4 show the case when the equilibrium point is unstable, and hence, the system possesses a stable limit cycle. Fig. 3. S ‾ E ( t ) <img class=”mathimg” src=”http://www.mathematical-neuroscience.com/content/inline/s13408-015-0032-7-i759.gif” alt=”View MathML”/> and S ‾ I ( t ) <img class=”mathimg” src=”http://www.mathematical-neuroscience.com/content/inline/s13408-015-0032-7-i760.gif” alt=”View MathML”/> versus time for a = 10 <img class=”mathimg” src=”http://www.mathematical-neuroscience.com/content/inline/s13408-015-0032-7-i761.gif” alt=”View MathML”/> , b = 9 <img class=”mathimg” src=”http://www.mathematical-neuroscience.com/content/inline/s13408-015-0032-7-i762.gif” alt=”View MathML”/> , c = 6 <img class=”mathimg” src=”http://www.mathematical-neuroscience.com/content/inline/s13408-015-0032-7-i763.gif” alt=”View MathML”/> , d…

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