Posttranslational modification of proteins is important for signal transduction, and hence
significant effort has gone toward understanding how posttranslational modification …

The circadian clock in cyanobacteria employs a posttranslational oscillator composed of a
sequential phosphorylation–dephosphorylation cycle of KaiC protein, in which the dynamics …

This work concerns the question of how two important dynamical properties, oscillations and
bistability, emerge in an important biological signaling network. Specifically, we consider a …

We introduce a general framework for biological systems, called MESSI systems, that
describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and we prove …

This paper provides a framework to represent a Biochemical Systems Theory (BST) model
(in either GMA or S-system form) as a chemical reaction network with power law kinetics …

Complex molecular biological processes such as transcription and translation, signal
transduction, post-translational modification cascades, and metabolic pathways can be …

Given a real sparse polynomial system, we present a general framework to find explicit
coefficients for which the system has more than one positive solution. Our approach is based …

Multisite phosphorylation cycles are ubiquitous in cell regulation systems and are studied at
multiple levels of complexity, from molecules to organisms, with the ultimate goal of …

This work investigates the emergence of oscillations in one of the simplest cellular signaling
networks exhibiting oscillations, namely the dual-site phosphorylation and …

In this work, we design a type of controller that consists of adding a specific set of reactions
to an existing mass-action chemical reaction network in order to control a target species …