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Measuring EEGs as a complex system using entropies is a very fruitful approach. It reveals hidden properties of the observed system without knowing it's internal structure and topology.
It can discriminate walking state, sleeping state, epilepsy and even deepness of narcosis.
It is a very useful approach used even in cardiology and ECGs.
1) Entropies for detection of epilepsy in EEG - ScienceDirect
Without any exaggeration seizure prediction is one of the most challenging scope in biological signal processing which is very hot to publish. For the first time it published two times in Nature in current year that illuminates its importance. One of them is a valuable review article published just last month and I can send it for you if you want. One of the most challenging in this problem mentioned is to predict the exact time of the seizure onset instead of determine the horizon. You can see more detail here:
It will be a priceless project,if you could do it. In addition, I have a rich database for it and have I lot with experience and some practical idea. So if you want to start your research in this field, it would be my honer to collaborate you.