My broad research interest lies in the area of applied dynamical systems and mathematical neuroscience. I use differential equations, geometric singular perturbation theory and computational modeling to understand how complex activity patterns are produced in neuronal systems, how they entrain input signals with a varying frequency, and how they drive patterns of movements for animal behaviors. In addition, I also explore the role that network structure plays in determining what dynamics are possible within a system. Applications of interest include respiratory rhythms, motor control in food-swallowing behavior in the sea slug Aplysia, role of astrocytes in chemosensory control of respiration, speech perception, and homeostasis in biochemical networks. 

Recent publications