Joe Tien

Email: joetiencam.cornell.edu
Research Interests: Dynamical systems and mathematical biology
Office phone: 5-4195
Advisor: John Guckenheimer

Abstract on my research: Neural models and multiple time scales

My research involves developing and analyzing models of neurons from a multiple time scale point of view. The models are ordinary differential equations, to which we apply the tools of geometric singular perturbation theory. The application is to neurons involved with breathing. By splitting the system into fast and slow subsystems and looking at bifurcations in these subsystems, we can gain insight into mechanisms underlying changes in firing patterns. I also hope to develop parameter optimization algorithms which take advantage of the fast-slow structure.