We present a technique for the dynamic estimation of bounds on unmeasured variables (or
parameters) of an uncertain dynamical system. Our approach is purely deterministic and …

In order to cope with the large amounts of data that have become available in genomics,
mathematical tools for the analysis of networks of interactions between genes, proteins, and …

We state precisely and demonstrate two conjectures of R. Thomas following which (a) the
existence of a positive circuit in the oriented interaction graph of a differential system is a …

In this paper we design an interval observer for the estimation of unmeasured variables of
uncertain bioreactors. The observer is based on a bounded error observer, as proposed in [1], …

We propose nonlinear observers for a class of biotechnological processes. These observers
are an extension of the open loop asymptotic observers (observers with unknown inputs) …

… Recent work by Gouzé and Sari [GS02] uses an approach due to Filippov [Fil88] to define
the solutions on … Firstly, we extend the work of Gouzé and Sari [GS02] and de Jong et al [dJGH …

Microbial physiology exhibits growth laws that relate the macromolecular composition of the
cell to the growth rate. Recent work has shown that these empirical regularities can be …

We investigate the properties of the solutions of a class of piecewise-linear differential
equations. The equations are appropriate to model biological systems (eg genetic networks) in …

The growth of microorganisms involves the conversion of nutrients in the environment into
biomass, mostly proteins and other macromolecules. This conversion is accomplished by …

Microorganisms have evolved complex strategies for controlling the distribution of available
resources over cellular functions. Biotechnology aims at interfering with these strategies, so …