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Figure 8 | The Journal of Mathematical Neuroscience

Figure 8

From: A model of on/off transitions in neurons of the deep cerebellar nuclei: deciphering the underlying ionic mechanisms

Figure 8

Reduction of the \(\{ V,m_{\text{Kdr}},h_{\text{NaV}} \} \) sub-system to a 2d model. A. Time constants of the \(m_{\text{Kdr}}\) and \(h_{\text{NaV}}\) variables plotted as functions of the membrane potential V. B. Black: projection of the trajectory of a spike of the \(\{ V,m_{\text{Kdr}},h_{\text{NaV}} \} \) sub-system onto the \(\{ m_{\text{Kdr}},h_{\text{NaV}} \} \) subspace (\(I_{\text{DC}}=0\)). Red curve: best nonlinear fit of the mean spike trajectory (see text). C. Bifurcation diagram of the 2d reduced \(\{ V,h_{\text{NaV}} \} \) model. D. Sample of characteristic trajectories of the 2d model in its phase space (\(I_{\text{DC}}=0\)). Blue: unstable LC. Green: trajectory of the 2d model starting from a state located outside the uLC orbit. Red: trajectory for initial conditions located inside the uLC orbit

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