Seizure intervention via diffusion mechanisms
Abstract
We begin by demonstrating that the neuronal state equation from Dynamic Causal Modelling takes on the form of the discretized Fokker-Planck equation upon the inclusion of local activity gradients within a network. Using the Jacobian of this modified neuronal state equation, we show that an initially unstable system can be rendered stable via a decrease in diffusivity. Therefore, if a node within the system is known to be unstable due to a tendency toward epileptic seizures for example, then our results indicate that intervention techniques should take the counter-intuitive approach of mirroring activity in the nodes immediately surrounding a pathological region - effectively fighting seizures with seizures. Finally, using a two-region system as an example, we show that one can also tune diffusivity in such a way as to allow for the suppression of oscillatory activity during epileptic seizures.
Cite
@article{arxiv.1911.11409,
title = {Seizure intervention via diffusion mechanisms},
author = {Erik D. Fagerholm and Rosalyn J. Moran and Robert Leech},
journal= {arXiv preprint arXiv:1911.11409},
year = {2019}
}