Oscillator models-whose steady-state behavior is periodic rather than constant-are
fundamental to rhythmic modeling, and they appear in many areas of engineering, physics …

We develop an approach to find an energy-optimal stimulus that entrains an ensemble of
uncertain, uncoupled limit cycle oscillators. Furthermore, when entrainment occurs, the …

Biological oscillators coordinate individual cellular components so that they function
coherently and collectively. They are typically composed of multiple feedback loops, and …

The study of populations of pulse-coupled firing oscillators is a general and simple paradigm
to investigate a wealth of natural phenomena, including the collective behaviors of neurons …

Oscillators---whose steady-state behavior is periodic rather than constant---are observed in
every field of science. While they have been studied for a long time as closed systems, they …

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given
parameter in a given system characteristic. Because the phase response curve is a …

To characterize the behavior and robustness of cellular circuits is a major challenge for
Systems Biology. Many of the published methods that address this question quantify the …