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A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting

, : A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting. Journal of Computational Neuroscience 37(2): 345-355

We use Hamilton-Jacobi-Bellman methods to find minimum-time and energy-optimal control strategies to terminate seizure-like bursting behavior in a conductance-based neural model. Averaging is used to eliminate fast variables from the model, and a target set is defined through bifurcation analysis of the slow variables of the model. This method is illustrated for a single neuron model and for a network model to illustrate its efficacy in terminating bursting once it begins. This work represents a numerical proof-of-concept that a new class of control strategies can be employed to mitigate bursting, and could ultimately be adapted to treat medically intractible epilepsy in patient-specific models.


PMID: 24965911

DOI: 10.1007/s10827-014-0507-7

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