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arXiv · 1911.11409

Seizure intervention via diffusion mechanisms

Erik D. Fagerholm·Rosalyn J. Moran·Robert Leech
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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.

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Erik D. Fagerholm, Rosalyn J. Moran, Robert Leech. 2019-11-26. Seizure intervention via diffusion mechanisms. https://arxiv.org/abs/1911.11409

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