The fundamental mechanisms that control and regulate biological organisms exhibit a
surprising level of complexity. Oscillators are perhaps the simplest motifs that produce time …

Mathematical models of varying complexity have helped shed light on different aspects of
circadian clock function. In this work, we question whether minimal clock models (Goodwin …

The circadian clocks keeping time in many living organisms rely on self-sustained
biochemical oscillations entrained by external cues, such as light, to the 24-h cycle induced …

The development of systemic approaches in biology has put emphasis on identifying genetic
modules whose behavior can be modeled accurately so as to gain insight into their structure …

The green microscopic alga Ostreococcus tauri has recently emerged as a promising model
for understanding how circadian clocks, which drive the daily biological rhythms of many …

The microscopic green alga Ostreococcus tauri is rapidly emerging as a promising model
organism in the green lineage. In particular, recent results by Corellou et al [Plant Cell 21 …

The three-variable Goodwin model constitutes a prototypical oscillator based on a negative
feedback loop. It was used as a minimal model for circadian oscillations. Other core models …

Theoretical models that describe oscillations in biological systems are often either a limit
cycle oscillator, where the deterministic nonlinear dynamics gives sustained periodic …

Biochemical reaction networks are subjected to large fluctuations attributable to small
molecule numbers, yet underlie reliable biological functions. Thus, it is important to …

This letter gives a general review on the monostability, bistability, periodicity and chaos in
gene regulatory network. Some simple motifs that generate monostability, bistability …