Fully continuous Pinsky-Rinzel model for bifurcation analysis (Atherton et al. 2016)


The original, 2-compartment, CA3 cell, Pinsky-Rinzel model (Pinsky, Rinzel 1994) has several discontinuous functions that prevent the use of standard bifurcation analysis tools to study the model. Here we present a modified, fully continuous system that captures the behaviour of the original model, while permitting the use of available numerical continuation software to perform full-system bifurcation and fast-slow analysis in XPPAUT.

Model Type: Neuron or other electrically excitable cell

Region(s) or Organism(s): Hippocampus

Cell Type(s): Hippocampus CA1 pyramidal GLU cell; Hippocampus CA3 pyramidal GLU cell; Pinsky-Rinzel CA1/3 pyramidal cell

Model Concept(s): Bursting; Bifurcation

Simulation Environment: XPPAUT; XPP (web link to model); Python

Implementer(s): Atherton, Laura ; Prince, Luke

References:

Atherton LA, Prince LY, Tsaneva-Atanasova K. (2016). Bifurcation analysis of a two-compartment hippocampal pyramidal cell model. Journal of computational neuroscience 41 [PubMed]