Research:
Many fundamental rhythmic activities such as breathing and swallowing are generated by neural networks referred to as central pattern generators (CPGs). To survive and reproduce, an animal must adjust to changes in its internal state and the external environment. Most animals control their adaptive motor behaviors thanks to a combination of CPGs and sensory feedback from the peripheral nervous system that can alter the ongoing intrinsic neural dynamics in CPGs.
My primary research interests lie in the area of mathematical and computational neuroscience, focusing on understanding both the neural activities that generate rhythmic movements, modulation of neural networks, and the interplay between CPGs and sensory feedback, using a variety of mathematical ideas including
dynamical systems theory, geometric singular perturbation theory and bifurcation theory
mathematical modeling and numerical simulations
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