Epilepsy is one of the most common neurological disorders characterized by recurrent seizures which affects up to 1%–5% of people all over world as reported. The cause of epilepsy and its effects on cerebral functions are so complex that it is a formidable task to conceive a single framework to characterize all the pathophysiological changes in epilepsy at molecular, cellular and neuronal network level. Considering seizures can be viewed as a time involving or dynamical disease, mathematical modeling can be conducted to obtain new insights into epileptic seizures. Indeed they have been successfully used to gain in-depth knowledge and generate novel hypotheses related to the cellular and network level brain mechanisms of epileptic seizure, and as a tool to guide the prediction of impending seizure and alternative therapeutic treatment.

This report will give some modeling work we have done in recent five years, including inherited epilepsy, focal epilepsy, and absence seizures.