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Single-cell Dynamics of Cellular Fates in Cancer Therapy. Resistance and Fractional Response.- Developed a method to precisely control DNA damage inside a live-imaging microscope by means of a photo inducible system.- Designed and established single-cell live fluorescent reporters of DNA damage, cell cycle markers, cell-fate and cell proliferation markers in a variety human cell lines.

Information Transfer in the Mammalian Circadian Clock- Applied information theory to study information transfer in the mammalian circadian clock.- Time series data analysis of U2OS cells under temperature perturbation pulses.

Transients and Bifurcations of the Mammalian Circadian System. Theoretical and experimental.- Combined numerical simulations, synchronization theory and data analysis to study properties of the mammalian circadian clock.- Developed mathematical models that describe the dynamics of coupled oscillators. - Applied time series data analysis to study bioluminescent data from mouse tissue explants, human behavior and rat locomotor activity.

The Generation of Respiratory Rhythms in Birds- Mathematical model the air sacs and the neural nuclei involved in the generation of respiratory rhythms in songbirds.- Applied non-linear dynamics, bifurcation theory and numerical simulations to generate a bifurcation diagram for the air sacs-neural nuclei system.