The circadian rhythm functions as a master clock that regulates many physiological
processes in humans including sleep, metabolism, hormone secretion, and neurobehavioral …

The mammalian circadian clock is a complex multi-scale, multivariable biological control
system. In the past two decades, methods from systems engineering have led to numerous …

To characterize the behavior and robustness of cellular circuits with many unknown
parameters is a major challenge for systems biology. Its difficulty rises exponentially with the …

Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …

The world is a dangerous place and recent events have served to make it less safe. There
are many arenas of conflict and even combat across the world. Such situations are the …

Light is a strong synchronizer for circadian rhythm—the 24-h biological oscillation in plants,
insects, and mammals. This paper considers the circadian entrainment problem for a …

The circadian rhythm, called Process C, regulates a wide range of biological processes in
humans including sleep, metabolism, body temperature, and hormone secretion. Light is the …

Processes that repeat in time, such as the cell cycle, the circadian rhythm, and seasonal
variations, are prevalent in biology. Mathematical models can represent our knowledge of …

For many natural and engineered systems, a central function or design goal is the
synchronization of one or more rhythmic or oscillating processes to an external forcing …

Background Sensitivity and robustness are essential properties of circadian clock systems,
enabling them to respond to the environment but resist noisy variations. These properties …