Abstract:

Epileptic seizures are typically marked by abnormal rhythmic discharges of electrical activity in the human brain. To learn the complex rhythmicity from the mathematical point, there are several mean field models which have been found to be very successful. Of those, Liley’s model prosed in 2002 which has been used to study a range of open questions in neuroscience, such as the generation of the alpha rhythm, 8-13 Hz oscillations in the EEG, epilepsy and anaesthesia. And also, a spatially extended neural field model proposed by Peter Neal Taylor in 2011 has been widely reported as a prototype of macroscopic epileptic spike-wave discharges (SWD). SWD are one of distinctive feature of epileptic seizures, which are known to be electrographical correlates of generalized epileptic seizures, specifically absence seizures. This report will mainly give a brief introduction of these two models, including the origins, applications, extensions and the recent developments.