Robustness of bifurcation structure.

<p>(<b>A</b>) : The vs. function of the fixed points of the system as already shown in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003307#pcbi-1003307-g003" target="_blank">Figure 3 A</a>. For simplicity we show here only the curve without indicating the different storage domains. (<b>B</b>) : Changing, for instance, the desired firing rate parameter of the synaptic scaling term does not induce significant changes in the vs. function. The overall circuit dynamics are the same as shown in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003307#pcbi-1003307-g001" target="_blank">Figure 1</a> (see Figure S3 in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003307#pcbi.1003307.s001" target="_blank">Text S1</a>). This holds for negative values (not shown), too. (<b>C</b>) : Only a dramatically different value induces changes in system's dynamic. Here, a pole emerges for small input intensities. To avoid this pole and maintain the desired dynamic the background input could be increased () to keep the system on the right side of the pole. Alternatively, other parameters could be adapted. For instance, (<b>D1</b>) the steepness of the neuronal output function () or (<b>D2</b>) the inflexion point () have to be decreased.