Stability of Ordinary Differential Equation of Electroencephalography Signals During an Epileptic Seizure

Abstract

Epilepsy is a chronic disorder of the brain characterized by sudden, recurring attacks of abnormal brain function, often resulting in seizures or convulsions. The seizures associated with epilepsy can occasionally be controlled by medication.

Electroencephalography (EEG), is a neurological test that uses an electronic monitoring device to measure and record electrical activity in the brain. It is a key tool in the diagnosis and management of epilepsy and other seizure disorders. However, the result of EEG as a tool for evaluating epileptic seizure is often interpreted as a noise rather than an ordered pattern. EEG signals during the seizure can be described as a dynamic physical process or a continuous system which is represented by its motion. Furthermore, the representation can be modeled as ordinary differential equation (ODE). In this paper, we used Liapunov’s technique to study the ODE stability of EEG signals during an epileptic seizure.