About
My research interests include dynamical systems, mathematical and computational neuroscience, multiple timescale dynamics, network dynamics and homeostasis. I am particularly interested in modeling and analyzing intrinsic neural dynamics in central pattern generators, brain rhythms associated with cognition, and sensory feedback control in complex adaptive biological systems, using geometric singular perturbation theory, bifurcation analysis, mathematical modeling and numerical simulations. In addition, I also explore the role that network structure plays in determining what dynamics are possible within a system.
Applications of interest include neural control of breathing and disorders such as opioid-induced respiratory depression, motor control in food-swallowing behavior in the sea slug Aplysia, neuromodulation, role of astrocytes in chemosensory control of respiration, speech perception, and homeostasis in biochemical networks.