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How neuronal morphology impacts the synchronisation state of neuronal networks

Fig 5

Phase-response curves (PRCs) of the Morris-Lecar DS model for various τ_δ and G_in. Values of G_in and τ_δ have been chosen to be around the dynamical switches in the Morris-Lecar DS model.

For example at τ_δ = 0, nS and for all τ_δ the cusp bifurcation lies at nS. When ( ms), increasing G_in switches the onset PRC shape first from a symmetric SNIC PRC (A) to an asymmetric HOM PRC (B-C), and later to a Hopf-like PRC (D). Increasing τ_δ increases the value of G_in at which the SNIC → HOM transition occurs and also decreases the G_in value of the HOM → Hopf transition. For , the PRC transitions straight from SNIC to Hopf-like. DS parameters used ℓ = 5.

doi: https://doi.org/10.1371/journal.pcbi.1011874.g005