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

2. The Model

3. T-current mechanism for escape

4. Release of Synaptic inhibition

5. Mapping
Fixed points of mark out-of-phase bursting

7. A function of T-current inactivation parameters alone

9. Stability
has to be determined numerically

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

11. 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.