10 citations · 14 across the 5 of their papers we have counts for
5 papers
Conservative deterministic Markov models in mathematical biology: uniqueness of steady states, reversibility and computational methods
Joseph G. Shuttleworth, Simon P. Preston Chon Lok Lei, Etienne Farcot +1
Ordinary differential equations are commonly used throughout the sciences to build mechanistic models of time-dependent processes. Often, such models are Markov models describing t…
Local negative circuits and cyclic attractors in Boolean networks with at most five components
Elisa Tonello, Etienne Farcot, Claudine Chaouiya
We consider the following question on the relationship between the asymptotic behaviours of asynchronous dynamics of Boolean networks and their regulatory structures: does the pres…
Qualitative control of periodic solutions in piecewise affine systems; application to genetic networks
Etienne Farcot, Jean-Luc Gouzé
Hybrid systems, and especially piecewise affine (PWA) systems, are often used to model gene regulatory networks. In this paper we elaborate on previous work about control problems…
Limit cycles in piecewise-affine gene network models with multiple interaction loops
Etienne Farcot, Jean-Luc Gouzé
In this paper we consider piecewise affine differential equations modeling gene networks. We work with arbitrary decay rates, and under a local hypothesis expressed as an alignment…
Periodic solutions of piecewise affine gene network models: the case of a negative feedback loop
Etienne Farcot, Jean-Luc Gouzé
In this paper the existence and unicity of a stable periodic orbit is proven, for a class of piecewise affine differential equations in dimension 3 or more, provided their interact…