Mathematical modelling has become an established tool for studying the dynamics of
biological systems. Current applications range from building models that reproduce …

Feedback control has enabled the success of automated technologies by mitigating the
effects of variability, unknown disturbances, and noise. While it is known that biological …

Biological systems are acknowledged to be robust to perturbations but a rigorous
understanding of this has been elusive. In a mathematical model, perturbations often exert …

Researchers working with mathematical models are often confronted by the related
problems of parameter estimation, model validation and model selection. These are all …

Life is sustained by a variety of cyclic processes such as cell division, muscle contraction,
and neuron firing. The periodic signals powering these processes often direct a variety of …

For dynamical systems arising from chemical reaction networks, persistence is the property
that each species concentration remains positively bounded away from zero, as long as …

Multistable switches are ubiquitous building blocks in both systems and synthetic biology.
Given their central role, it is thus imperative to understand how their fundamental properties …

The number of equilibrium points of a dynamical system dictates important qualitative
properties, such as the ability of the system to store different memory states, and may be …

While the vision of synthetic biology is to create complex genetic systems in a rational
fashion, system-level behaviors are often perplexing due to the context-dependent dynamics …

Biomolecular circuit performance depends upon the reaction rate parameters. Any
perturbation in these parameters can propagate to the output of the system, altering its …