Dynamical systems models

We have developed novel mathematical models using differential equations to comprehensively describe brain electrical activity in epilepsy. 

We have further extended these models to incorporate spatial aspects of pathological dynamics.  Using bifurcation theory, we have also investigated transient dynamics following perturbation. 

We further applied the principles from dynamical systems to epileptic seizures, which are pathological brain dynamics that evolve in space and time. To understand these events, we considered ways in which seizures can arise and categorised them according to their dynamic mechanisms. We have also hypothesised how the EEG waveform at seizure onset relates to these mechanisms.