Bifurcation diagrams of the vibrissa motoneuron model with <i>g</i>_h = 0.3 mS/cm².

Abstract

<p>(A) The values of the membrane potential <i>V</i> (top panel) and the firing rate <i>f</i>_R (bottom panel) are plotted as functions of <i>I</i>_app for fixed points (thin lines) and limit cycles (thick lines) for <i>g</i>_M = 1 mS/cm². For limit cycles, minimal and maximal voltages during the cycle are plotted. Solid lines denote stable solutions, and dotted lines denote unstable solutions. Stable sub-threshold oscillations are shown in blue, whereas stable tonic firing states are shown in solid thick black lines. Solid circles in the top panels denote bifurcations from the following types: Hopf (HB), saddle-node of periodics (SNP) and period doubling (PD). The firing rate in the MMOs state is plotted in red in the bottom panel. (B) The firing rate <i>f</i>_R in the MMOs state is plotted as a function of <i>I</i>_app at a larger scale. The types of mixed mode states (see text, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0109205#pone-0109205-g004" target="_blank">Figure 4</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0109205#pone.0109205-Ermentrout1" target="_blank">[23]</a>) are indicated above the curve.</p