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Leon Glass carries out research on various aspects of application of nonlinear dynamics to physiology and medicine. In particular he has worked on problems associated with respiratory rhythmogenesis and the effects of periodic forcing on respiration, dynamics of tremor and motor control, dynamics of cardiac arrhythmia, visual perception, and dynamics in gene networks. Current research involves studying dynamics of complex dynamics in experimental and theoretical models of cardiac arrhythmias with an emphasis on understanding the mechanisms that lead to the transition from normal heart rhythms to pathological rhythms. Other current projects deal with dynamics in equations that model genetic networks and understanding the evolution of genetic control networks.