Ion concentration dynamics as a mechanism for neuronal bursting (Barreto & Cressman 2011)

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"We describe a simple conductance-based model neuron that includes intra and extracellular ion concentration dynamics and show that this model exhibits periodic bursting. The bursting arises as the fast-spiking behavior of the neuron is modulated by the slow oscillatory behavior in the ion concentration variables and vice versa. By separating these time scales and studying the bifurcation structure of the neuron, we catalog several qualitatively different bursting profiles that are strikingly similar to those seen in experimental preparations. Our work suggests that ion concentration dynamics may play an important role in modulating neuronal excitability in real biological systems."
1 . Barreto E, Cressman JR (2011) Ion concentration dynamics as a mechanism for neuronal bursting. J Biol Phys 37:361-73 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism: Generic;
Cell Type(s): Hodgkin-Huxley neuron;
Gap Junctions:
Simulation Environment: C or C++ program; XPP;
Model Concept(s): Bursting; Oscillations; Simplified Models; Depolarization block;
Implementer(s): Barreto, Ernest ;
These are the source codes used in

E. Barreto and J.R. Cressman, "Ion Concentration Dynamics as a
Mechanism for Neuronal Bursting",
Journal of Biological Physics 37, 361-373 (2011).

Link to the paper:

Author-generated version available at:

The .ode files run with XPP.

The .c file is in C and uses headers and the rk4 routine from
Numerical Recipies.

The parameters that recreate the subplots of Figure 4 are shown using
XPP in a collection of jpgs included in this archive. Note that the
XPP code is written so as to measure time in milliseconds.

The authors recommend that modelers use the more efficient C code,
which outputs time in seconds, and which includes in the comments the
parameter values used for all five burst types.

Parameter values for all figures are also listed in the paper itself.

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