# American Institute of Mathematical Sciences

2013, 10(3): 579-590. doi: 10.3934/mbe.2013.10.579

## Identifying preseizure state in intracranial EEG data using diffusion kernels

 1 101 AKW, 51 Prospect St. New Haven, CT 06511, United States 2 103 AKW, 51 Prospect St. New Haven, CT 06511, United States 3 716 LLCI, 15 York St. New Haven, CT 06520, United States 4 108A AKW, 51 Prospect St. New Haven, CT 06511, United States

Received  July 2012 Revised  December 2012 Published  April 2013

The goal of this study is to identify preseizure changes in intracranial EEG (icEEG). A novel approach based on the recently developed diffusion map framework, which is considered to be one of the leading manifold learning methods, is proposed. Diffusion mapping provides dimensionality reduction of the data as well as pattern recognition that can be used to distinguish different states of the patient, for example, interictal and preseizure. A new algorithm, which is an extension of diffusion maps, is developed to construct coordinates that generate efficient geometric representations of the complex structures in the icEEG data. In addition, this method is adapted to the icEEG data and enables the extraction of the underlying brain activity.
The algorithm is tested on icEEG data recorded from several electrode contacts from a patient being evaluated for possible epilepsy surgery at the Yale-New Haven Hospital. Numerical results show that the proposed approach provides a distinction between interictal and preseizure states.
Citation: Dominique Duncan, Ronen Talmon, Hitten P. Zaveri, Ronald R. Coifman. Identifying preseizure state in intracranial EEG data using diffusion kernels. Mathematical Biosciences & Engineering, 2013, 10 (3) : 579-590. doi: 10.3934/mbe.2013.10.579
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