Spatial Considerations of Feedback Control for the Suppression of Epileptic Seizures

Control of epileptic seizures through brain electrical stimulation is currently the focus of experimental and theoretical research. Here we use a mean-field model of the human cortex to study spatial issues related to two types of feedback control. We start with a 14th order set of stochastic partial differential equations from Kramer et al. (Journal of Computational Neuroscience 22:63-80, 2007), add either proportional or differential control, and then simulate the effect on seizurelike behavior. We analyze the results based on changes in electrode size, electrode spacing, and the number of electrodes in the grid.

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