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Figure 10 | The Journal of Mathematical Neuroscience

Figure 10

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

Figure 10

Robustness of the model’s bifurcation diagram to parameters-models of \(I_{\text{Kdr}}\) and \(I_{\text{NaV}}\) (see text). A. Impact of putative Kv2 channels. Symbol \(I_{\text{KdrS}}\) stand for the standard \(I_{\text{Kdr}}\) after its voltage-dependent time constant was scaled up to model (slow) Kv2 channels. A1. Standard model. A2. After addition of \(I_{\text{KdrS}}\) (with the same conductance as \(I_{\text{Kdr}}\)). A3. Same as A2 with \(g_{\text{Na}}\) decreased to \(3000~\mu \mbox{Scm}^{-2}\). A4. Same as A3 with \(g_{\text{TCN}}\) increased to 75μScm−2. A5. With \(I_{\text{KdrS}}\) as the sole voltage-dependent K current (mode’s standard conductance value). A6. Same as A5 with \(g_{\text{TCN}}=215~\mu \mbox{Scm}^{-2}\). B. Impact of the persistent component of \(I_{\text{NaV}}\) identified in DCNn. Symbol \(I_{\text{NaRB}}\) stands for the model of voltage-dependent Na current of Raman and Bean [55]. B1. \(I_{\text{NaV}}\) replaced by \(I_{\text{NaRB}}\) with conductance \(g_{\text{NaRB}} = 5 \times 10^{3}\) (same as that of \(I_{\text{NaV}}\) in the standard model). B2. \(g_{\text{NaRB}} = 3.5 \times 10^{3}\). B3. \(g_{\text{NaRB}} = 3 \times 10^{3}\). B4. Same as B3 with \(g_{\text{TCN}} = 75\) (standard value = 45). B5. With \(g_{\text{Kdr}} = 1.25 \times 10^{4}\) (standard value = 4.5 × 103). B6. \(g_{\text{NaRB}} = 3 \times 10^{3}\), \(g_{\text{Kdr}} = 1.25 \times 10^{4}\) and \(g_{\text{TCN}} = 9.5 \times 10^{1}\)

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