10.1371/journal.pcbi.0040029.g002
Avner Wallach
Avner
Wallach
Danny Eytan
Danny
Eytan
Shimon Marom
Shimon
Marom
Ron Meir
Ron
Meir
Fixed Point Loci When the Activities are Proportional
Public Library of Science
2013
loci
activities
2013-02-21 10:59:35
Figure
https://plos.figshare.com/articles/figure/_Fixed_Point_Loci_When_the_Activities_are_Proportional_/607275
<p>Geometrical loci of the averaged system's fixed points when the excitatory and inhibitory activity function are proportional to each other, as described in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e008" target="_blank">Equation 8</a>. The locus depends on the parameter ratio <i>ρ</i>. When <i>ρ</i> < 1 fixed points are located in the lower half of the plane (
) and vice versa. We can infer from the assumptions in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e005" target="_blank">Equations 5</a> and <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e006" target="_blank">6</a> that as fixed points approach the lower-right corner of the phase plane, activity increases. Thus, decreasing <i>ρ</i> changes the overall behavior from a depressing to a facilitating one.
</p>