A method of determining the existence of bursting solutions, and output variables such as burst length and spike number, of multidimensional models using mapping.

The Model

T-current mechanism for escape

Release of Synaptic inhibition

Mapping Fixed points of mark out-of-phase bursting

A function of T-current inactivation parameters alone

Stability has to be determined numerically

Parameter sensitivity analysis depends on but does not depends on but does not

Relaxing the assumptions Half-center bursting: T-current inactivation threshold lies just beneath spiking threshold Synaptic decay faster than spiking dynamics Relaxing the half-center assumptions means that has to be calculated numerically, and becomes discontinuous. Nevertheless, the number of stable solutions increases.