title: A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting.
abstract: 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.
authors: Department of Mechanical Engineering, University of California, Santa Barbara, CA, 93106, USA, dan.d.wilson8@gmail.com.
authors: Dan
authors: D
authors: Wilson
authors: Jeff
authors: J
authors: Moehlis
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000503:physiopathology*; D009474:Neurons / Q000502:physiology*; D012640:Seizures / Q000503:physiopathology*