Research Information System
Cybernetics and Physics, vol.14, no.4, pp.320-324, 2025 (Peer-Reviewed Journal)
We invent a continuous field model for epileptiform dynamics and focus on the spatial evolution of the hypersynchronized ictal phase in the form of a scalar field. We add a control term to its dynamical equation to study the possibility of suppressing the epileptiform regime at the mesoscopic scales. We reproduce the exact analytical solutions for the hypersynchronised phase in two forms: with the separation of variables and in the shape of traveling waves. Then we conclude our results and discuss the possible applications and further developments of our model.