Double boundary value problem (A. Bose and J.E. Rubin, 2015)

For two neurons coupled with mutual inhibition, we investigate the strategies that each neuron should utilize in order to maximize the number of spikes it can fire (or equivalently the amount of time it is active) before the other neuron takes over. We derive a one-dimensional map whose fixed points correspond to periodic anti-phase bursting solutions. The model here solves a novel double boundary value problem that can be used to obtain the graph of this map. Read More:

Model Type: Neuron or other electrically excitable cell

Cell Type(s): Abstract integrate-and-fire leaky neuron

Model Concept(s): Oscillations

Simulation Environment: XPPAUT

Implementer(s): Rubin, Jonathan E [jonrubin at]


Bose A, Rubin JE. (2015). Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition International Journal of Bifurcation and Chaos. 25(07)

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.