Jiahong (Benjamin) Zhang L&S Sciences
Modulation of epileptic seizures in mammalian cortices via Anderson localization
Epilepsy currently afflicts more than 50 million people worldwide. While anti-epileptic drugs are effective at treating 70% of this population, the rest have to resort to invasive surgeries to alleviate their seizures. The electrical interactions of neurons in the brain are described by a set of stochastic partial differential equations. Seizures can be thought of as electrical waves propagating on the brain. In this project, I intend to manipulate the mathematical model to develop a new noninvasive way to control seizures in conjunction with a concept from physics called localization. Due to localization, water waves traveling in the ocean lose energy since the wave is scattered by a seabed that is randomly rough. Similarly, since seizures can be considered as waves on the brain, by applying appropriate random signals (e.g. electrical) to the brain during a seizure, I can scatter the seizure waves thereby attenuating the seizure.