Organisms are equipped with regulatory systems that display a variety of dynamical
behavior ranging from simple stable steady states, to switching and multistability, to …

Feedback controls are central to cellular regulation. Negative-feedback mechanisms are
well known to underline oscillatory dynamics. However, the presence of multiple negative …

In this paper, we propose a theoretical framework to systematically analyze the existence
and the profiles of chemical oscillations in gene regulatory networks with negative cyclic …

A simple three-component negative feedback loop is a recurring motif in biochemical
oscillators. This motif oscillates as it has the three necessary ingredients for oscillations: a …

Biological processes are governed by complex networks ranging from gene regulation to
signal transduction. Positive feedback is a key element in such networks. The regulation …

A simple negative feedback loop of interacting genes or proteins has the potential to
generate sustained oscillations. However, many biological oscillators also have a positive …

Biochemical regulatory networks governing diverse cellular processes such as stress-
response, differentiation and cell cycle often contain coupled feedback loops. We aim at …

The molecular network in an organism consists of transcription/translation regulation, protein–
protein interactions/modifications and a metabolic network, together forming a system that …

Background Gene regulation networks are made of recurring regulatory patterns, called
network motifs. One of the most common network motifs is negative auto-regulation, in which …

The Goodwin model is a 3-variable model demonstrating the emergence of oscillations in a
delayed negative feedback-based system at the molecular level. This prototypical model …