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Fig. 11 | The Journal of Mathematical Neuroscience

Fig. 11

From: Timescales and Mechanisms of Sigh-Like Bursting and Spiking in Models of Rhythmic Respiratory Neurons

Fig. 11

Simulations of the Jasinski model with two-time-scale reduction. Rescaled version of (5a)–(5g): (9F, 2SS) case, with \(\beta =100\), \(\alpha_{\mathrm{Na}}=5\times10^{-3}\). (A) Time series of v and \(ca_{i}\). (B) The bifurcation diagram for the 9-dimensional layer problem of the (9F, 2SS) system, with bifurcation parameter \(c_{\mathrm{tot}}\) and \(l=0.94\) fixed. Solid curves denote stable tonic spiking solutions while the dashed curve denotes unstable solutions. At least one such solution is present for all \(c_{\mathrm{tot}}\); in fact, the stable branches overlap over a small interval in \(c_{\mathrm{tot}}\), yielding bistability

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