Chemical reactions are discrete, stochastic events. As such, the species' molecular numbers can be described by an associated master equation. However, handling such an equation may become difficultâ€¦ (More)

Calcium ions act as messengers in a broad range of processes such as learning, apoptosis, and muscular movement. The transient profile and the temporal accumulation of calcium signals have beenâ€¦ (More)

Quantifying signal transmission in biochemical systems is key to uncover the mechanisms that cells use to control their responses to environmental stimuli. In this work we use the time-integral ofâ€¦ (More)

In this paper, we consider a class of reaction-diffusion PDEs. For this class, a suitable state transformation allows conversion to a heat equation together with a lower order PDE set. By giving anâ€¦ (More)

We consider a Markov process in continuous time with a finite number of discrete states. The time-dependent probabilities of being in any state of the Markov chain are governed by a set of ordinaryâ€¦ (More)

In this work we analytically derive the time-integral of a class of nonlinear reaction-diffusion systems commonly found in networks of biochemical reactions. This formula is inferred using theâ€¦ (More)

2015 54th IEEE Conference on Decision and Controlâ€¦

2015

In this paper we compare two families of multivariable super-twisting algorithms. The first family is an implementation of independent generalised super-twisting algorithms, whereas the second oneâ€¦ (More)